Program Details : University Catalogs : University of Minnesota

MATH 1271 - Calculus I (MATH)

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 1271/Math 1381/Math 1571/
Typically offered:	Every Fall, Spring & Summer

Differential calculus of functions of a single variable, including polynomial, rational, exponential, and trig functions. Applications, including optimization and related rates problems. Single variable integral calculus, using anti-derivatives and simple substitution. Applications may include area, volume, work problems. prereq: 4 yrs high school math including trig or satisfactory score on placement test or grade of at least C- in [1151 or 1155]

MATH 1371 - CSE Calculus I (MATH)

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 1271/Math 1381/Math 1571/
Typically offered:	Every Fall & Spring

Differentiation of single-variable functions, basics of integration of single-variable functions. Applications: max-min, related rates, area, curve-sketching. Use of calculator, cooperative learning. prereq: CSE or pre-bioprod concurrent registration is required (or allowed) in biosys engn (PRE), background in [precalculus, geometry, visualization of functions/graphs], instr consent; familiarity with graphing calculators recommended

MATH 1571H - Honors Calculus I (MATH)

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 1271/Math 1381/Math 1571/
Grading Basis:	A-F only
Typically offered:	Every Fall

Differential/integral calculus of functions of a single variable. Emphasizes hard problem-solving rather than theory. prereq: Honors student and permission of University Honors Program

MATH 1272 - Calculus II

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 1272/Math 1282/Math 1372/
Typically offered:	Every Fall, Spring & Summer

Techniques of integration. Calculus involving transcendental functions, polar coordinates. Taylor polynomials, vectors/curves in space, cylindrical/spherical coordinates. prereq: [1271 or equiv] with grade of at least C-

MATH 1372 - CSE Calculus II

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 1272/Math 1282/Math 1372/
Typically offered:	Every Spring

Techniques of integration. Calculus involving transcendental functions, polar coordinates, Taylor polynomials, vectors/curves in space, cylindrical/spherical coordinates. Use of calculators, cooperative learning. prereq: Grade of at least C- in [1371 or equiv], CSE or pre-Bioprod/Biosys Engr

MATH 1572H - Honors Calculus II

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 1272/Math 1282/Math 1372/
Grading Basis:	A-F only
Typically offered:	Every Fall & Spring

Continuation of 1571. Infinite series, differential calculus of several variables, introduction to linear algebra. prereq: 1571H (or equivalent) honors student

MATH 2263 - Multivariable Calculus

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 2263/Math 2374/Math 2573H
Typically offered:	Every Fall, Spring & Summer

Derivative as linear map. Differential/integral calculus of functions of several variables, including change of coordinates using Jacobians. Line/surface integrals. Gauss, Green, Stokes Theorems. prereq: [1272 or 1372 or 1572] w/grade of at least C-

MATH 2374 - CSE Multivariable Calculus and Vector Analysis

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 2263/Math 2374/Math 2573H
Typically offered:	Every Fall & Spring

Derivative as linear map. Differential/integral calculus of functions of several variables, including change of coordinates using Jacobians. Line/surface integrals. Gauss, Green, Stokes theorems. Use of computer technology. prereq: [1272 or 1282 or 1372 or 1572] w/grade of at least C-, CSE or pre-Bioprod/Biosys Engr

MATH 2573H - Honors Calculus III

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 2263/Math 2374/Math 2573H
Grading Basis:	A-F only
Typically offered:	Every Fall

Integral calculus of several variables. Vector analysis, including theorems of Gauss, Green, Stokes. prereq: Math 1572H (or equivalent), honors student

PHYS 1221 - Introductory Physics for Life Science Majors I (PHYS)

Credits:	4.0 [max 4.0]
Course Equivalencies:	Phys 1201W/1301W/1401V/1501V
Typically offered:	Every Fall, Spring & Summer

The class exposes the student to physical principles and concepts, demonstrates how these principles can be applied to quantitatively describe natural phenomena, and provides the student with an opportunity to perform hands-on experiments and measurements that model how physical knowledge is obtained. The living world exists in the physical universe, and a complete understanding of biological processes is impossible without a firm foundation in the basic physical principles to which all systems, living and inorganic, must adhere. The basic principles of classical mechanics, fluid mechanics, and oscillations and waves will be examined, with particular emphasis to their application in biological systems, using mathematical analysis at the level of basic calculus. prereq: High School or College Calculus

PHYS 1301W - Introductory Physics for Science and Engineering I (PHYS, WI)

Credits:	4.0 [max 4.0]
Course Equivalencies:	Phys 1201W/1301W/1401V/1501V
Typically offered:	Every Fall, Spring & Summer

Use of fundamental principles to solve quantitative problems. Motion, forces, conservation principles, structure of matter. Applications to mechanical systems. Prereq or Concurrent: MATH 1271/1371/1371H or equivalent

PHYS 1401V - Honors Physics I (PHYS, WI)

Credits:	4.0 [max 4.0]
Course Equivalencies:	Phys 1201W/1301W/1401V/1501V
Grading Basis:	A-F only
Typically offered:	Every Fall

Comprehensive, calculus-level general physics. Emphasizes use of fundamental principles to solve quantitative problems. Description of motion, forces, conservation principles. Structure of matter, with applications to mechanical systems. Prereq: Honors program or with permission, Prereq or Concurrent: MATH 1271/1371/1571H or equivalent

PHYS 1222 - Introductory Physics for Life Science Majors II (PHYS)

Credits:	4.0 [max 4.0]
Course Equivalencies:	Phys 1202W/1302W/1402V/1502V
Typically offered:	Every Fall, Spring & Summer

This is the second course in the introductory physics sequence for life science majors. The class exposes the student to physical principles and concepts, demonstrates how these principles can be applied to quantitatively describe natural phenomena, and provides the student with an opportunity to perform hands-on experiments and measurements that model how physical knowledge is obtained. The fundamental principles of thermal physics, electricity and magnetism, optics, and nuclear physics are considered. prereq: PHYS 1221 or equivalent

PHYS 1302W - Introductory Physics for Science and Engineering II (PHYS, WI)

Credits:	4.0 [max 4.0]
Course Equivalencies:	Phys 1202W/1302W/1402V/1502V
Typically offered:	Every Fall & Spring

Use of fundamental principles to solve quantitative problems. Motion, forces, conservation principles, fields, structure of matter. Applications to electromagnetic phenomena. Prereq: PHYS 1301 or equivalent, Prereq or Concurrent: MATH 1272/1372/1572H or equivalent

PHYS 1402V - Honors Physics II (PHYS, WI)

Credits:	4.0 [max 4.0]
Course Equivalencies:	Phys 1202W/1302W/1402V/1502V
Grading Basis:	A-F only
Typically offered:	Every Spring

Fundamental principles to solve quantitative problems. Description of motion, forces, conservation principles, fields. Structure of matter, with applications to electro-magnetic phenomena. Honors program or with permission, PHYS 1401V or equivalent, Prereq or CC: MATH 1272/1372/1572H or equivalent

CHEM 1061 - Chemical Principles I (PHYS)

Credits:	3.0 [max 3.0]
Course Equivalencies:	Chem 1061/ 1071/H/ 1081
Typically offered:	Every Fall, Spring & Summer

Atomic theory, periodic properties of elements. Thermochemistry, reaction stoichiometry. Behavior of gases, liquids, and solids. Molecular/ionic structure/bonding. Organic chemistry and polymers. energy sources, environmental issues related to energy use. Prereq-Grade of at least C- in [1011 or 1015] or [passing placement exam, concurrent registration is required (or allowed) in 1065]; intended for science or engineering majors; concurrent registration is required (or allowed) in 1065; registration for 1065 must precede registration for 1061

CHEM 1065 - Chemical Principles I Laboratory (PHYS)

Credits:	1.0 [max 1.0]
Course Equivalencies:	Chem 1065/Chem 1075H
Grading Basis:	A-F only
Typically offered:	Every Fall, Spring & Summer

Basic laboratory skills while investigating physical and chemical phenomena closely linked to lecture material. Experimental design, data collection and treatment, discussion of errors, and proper treatment of hazardous wastes. prereq: concurrent registration is required (or allowed) in 1061

CHEM 1071H - Honors Chemistry I (PHYS)

Credits:	3.0 [max 3.0]
Course Equivalencies:	Chem 1061/ 1071/H/ 1081
Grading Basis:	A-F only
Typically offered:	Every Fall

Advanced introduction to atomic theory. Periodic properties of elements. Behavior of gases, liquids, and solids. Molecular/ionic structure, bonding. Aspects of organic chemistry, spectroscopy, and polymers. Mathematically demanding quantitative problems. Writing for scientific journals. prereq: Honors student, permission of University Honors Program, concurrent registration is required (or allowed) in 1075H; registration for 1075H must precede registration for 1071H

CHEM 1075H - Honors Chemistry I Laboratory (PHYS)

Credits:	1.0 [max 1.0]
Course Equivalencies:	Chem 1065/Chem 1075H
Grading Basis:	A-F only
Typically offered:	Every Fall

Develop laboratory skills while investigating physical and chemical phenomena closely linked to lecture material. Experimental design, data collection and treatment, discussion of errors, and the proper treatment of hazardous wastes. prereq: prereq or coreq 1071H; honors student or permission of University Honors Program

CHEM 1062 - Chemical Principles II (PHYS)

Credits:	3.0 [max 3.0]
Course Equivalencies:	Chem 1062/1072/1072H/1082/
Typically offered:	Every Fall, Spring & Summer

Chemical kinetics. Radioactive decay. Chemical equilibrium. Solutions. Acids/bases. Solubility. Second law of thermodynamics. Electrochemistry/corrosion. Descriptive chemistry of elements. Coordination chemistry. Biochemistry. prereq: Grade of at least C- in 1061 or equiv, concurrent registration is required (or allowed) in 1066; registration for 1066 must precede registration for 1062

CHEM 1066 - Chemical Principles II Laboratory (PHYS)

Credits:	1.0 [max 1.0]
Course Equivalencies:	Chem 1066/Chem 1076H
Grading Basis:	A-F only
Typically offered:	Every Fall, Spring & Summer

Basic laboratory skills while investigating physical and chemical phenomena closely linked to lecture material. Experimental design, data collection and treatment, discussion of errors, and proper treatment of hazardous wastes. prereq: concurrent registration is required (or allowed) in 1062

CHEM 1072H - Honors Chemistry II (PHYS)

Credits:	3.0 [max 3.0]
Course Equivalencies:	Chem 1062/1072/1072H/1082/
Grading Basis:	A-F only
Typically offered:	Every Spring

Advanced introduction. Chemical kinetics/reaction mechanisms, chemical/physical equilibria, acids/bases, entropy/second law of thermodynamics, electrochemistry/corrosion; descriptive chemistry of elements; coordination chemistry; biochemistry. prereq: 1071H, concurrent registration is required (or allowed) in 1076H, honors student, registration for 1076H must precede registration for 1072H

CHEM 1076H - Honors Chemistry II Laboratory (PHYS)

Credits:	1.0 [max 1.0]
Course Equivalencies:	Chem 1066/Chem 1076H
Grading Basis:	A-F only
Typically offered:	Every Spring

Develop laboratory skills as experiments become increasingly complex. Data collection/treatment, discussion of errors, proper treatment of hazardous wastes, experiment design. prereq: concurrent registration is required (or allowed) in 1072H

CHEM 2301 - Organic Chemistry I

Credits:	3.0 [max 3.0]
Course Equivalencies:	Chem 2301/Chem 2331H
Typically offered:	Every Fall, Spring & Summer

Organic compounds, constitutions, configurations, conformations, reactions. Molecular structure. Chemical reactivity/properties. Spectroscopic characterization of organic molecules. prereq: C- or better in 1062/1066 or 1072H/1076H

CHEM 2331H - Honors Elementary Organic Chemistry I

Credits:	3.0 [max 3.0]
Course Equivalencies:	Chem 2301/Chem 2331H
Grading Basis:	A-F only
Typically offered:	Every Fall

Important classes of organic compounds, their constitutions, configurations, conformations, reactions. Relationships between molecular structure/chemical properties/reactivities. Spectroscopic methods/characterization of organic molecules. prereq: At least B+ in 1072H, UHP student

CHEM 3101 - Introductory Analytical Chemistry Lecture

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall, Spring & Summer

Primarily for chemistry majors. Methods/concepts of measurement by chemical/instrumental analysis, including titrimetry, quantitative spectrophotometric analysis, chromatographic separations, equilibrium/rate methods. prereq: 1062/1066 or equiv

CHEM 3111 - Introductory Analytical Chemistry Lab

Credits:	2.0 [max 2.0]
Typically offered:	Every Fall & Summer

Lab for 3101. High precision methods, acidimetry and complexometry, single and multicomponent analysis by spectrophotometry, analysis of mixtures by ion exchange and gas chromatography, enzymatic and rate methods. prereq: 3101 or concurrent registration is required (or allowed) in 3101

CHEM 2302 - Organic Chemistry II

Credits:	3.0 [max 3.0]
Course Equivalencies:	Chem 2302/Chem 2332HChem 2304
Prerequisites:	Grade of at least C- in 2301
Typically offered:	Every Fall, Spring & Summer

Reactions, synthesis, and spectroscopic characterization of organic compounds, organic polymers, and biologically important classes of organic compounds such as lipids, carbohydrates, amino acids, peptides, proteins, and nucleic acids. prereq: Grade of at least C- in 2301

CHEM 2332H - Honors Elementary Organic Chemistry II

Credits:	3.0 [max 3.0]
Course Equivalencies:	Chem 2302/Chem 2332HChem 2304
Prerequisites:	At least C- in 2331H, UHP student
Grading Basis:	A-F only
Typically offered:	Every Spring

Continuation of 2331H. Reactions, synthesis, and spectroscopic characterization of organic compounds, organic polymers, and their role in biologically important classes of organic molecules such as lipids, carbohydrates, amino acids, peptides, proteins, and nucleic acids. prereq: At least C- in 2331H, UHP student

CHEM 2311 - Organic Lab

Credits:	4.0 [max 4.0]
Course Equivalencies:	Chem 2311/Chem 2312H/2312
Typically offered:	Every Fall, Spring & Summer

Laboratory techniques in synthesis, purification and characterization of organic compounds with an emphasis on green chemistry methodologies. prereq: Grade of at least C- in [2302] or [concurrent registration is required (or allowed) in 2302

CHEM 2312H - Honors Organic Lab

Credits:	5.0 [max 5.0]
Course Equivalencies:	Chem 2311/Chem 2312H/2312
Grading Basis:	A-F only
Typically offered:	Every Fall

Honors organic chemistry lab. prereq: [2301 or concurrent registration is required (or allowed) in 2301], [Chem or ChemE or BioC major], instr consent

CHEM 4501 - Introduction to Thermodynamics, Kinetics, and Statistical Mechanics

Credits:	3.0 [max 3.0]
Course Equivalencies:	Chem 3501/4501
Grading Basis:	A-F or Aud
Typically offered:	Every Fall & Spring

Physical chemistry as it relates to macroscopic descriptions of chemical systems. Chemical thermodynamics, phase equilibria, chemical equilibria. Statistical mechanics. Phenomenological reaction kinetics. Kinetic theory of gases. Collision, statistical theories of reaction rates. prereq: [1062/1066 or 1071H/1075H], [MATH 2263 or concurrent registration is required (or allowed) in MATH 2263 or MATH 2374 or concurrent registration is required (or allowed) in MATH 2374], [PHYS 1302 or PHYS 1402V or PHYS 1502V]

CHEM 4502 - Introduction to Quantum Mechanics and Spectroscopy

Credits:	3.0 [max 3.0]
Course Equivalencies:	Chem 3502/4502
Grading Basis:	A-F or Aud
Typically offered:	Every Fall & Spring

Microscopic descriptions of chemical systems. Quantum theory. Applications to atomic/molecular structure. Molecular spectroscopy. Quantum statistical mechanics. Discussion of solutions to several differential equations. prereq: [1062/1066 or 1072H/1076H of 1082/1086], [MATH 2263 or concurrent registration is required (or allowed) in MATH 2263 or MATH 2374 or concurrent registration is required (or allowed) in MATH 2374 or MATH 2243 or concurrent registration is required (or allowed) in MATH 2243 or MATH 2373 or concurrent registration is required (or allowed) in MATH 2373], [PHYS 1302 or PHYS 1402V or PHYS 1502V]

CHEM 4701 - Inorganic Chemistry

Credits:	3.0 [max 3.0]
Course Equivalencies:	Chem 4701 / Chem 4701H
Typically offered:	Every Fall & Spring

Periodic trends. Structure/bonding in compounds where s and p electrons are important. Descriptive chemistry of solids and transition metal compounds. Transition metal chemistry. Topics in main group and materials chemistry. prereq: [2311 or concurrent registration is required (or allowed) in 2311], [4501 or concurrent registration is required (or allowed) in 4501 or 4502 or concurrent registration is required (or allowed) in 4502]

CHEM 4111W - Modern Instrumental Methods of Chemical Analysis Lab (WI)

Credits:	2.0 [max 2.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Instrumental techniques, including spectroscopic methods, electrochemical methods, and analysis based on separation. Use of computers in data collection and reduction. prereq: 4101 or concurrent registration is required (or allowed)

CHEM 4311W - Advanced Organic Chemistry Lab (WI)

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall & Spring

Reactions, techniques, and instrumental methods in synthetic organic chemistry. prereq: 2311

CHEM 4511W - Advanced Physical Chemistry Lab (WI)

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Experiments illustrating principles and methods of thermodynamics, reaction kinetics, and quantum mechanics. prereq: 4502, chemistry major

CHEM 4711W - Advanced Inorganic Chemistry Lab (WI)

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Lab experiments in inorganic/organometallic chemistry illustrating synthetic/spectroscopic techniques. prereq: 4701, chem major

CHEM 4223W - Polymer Laboratory (WI)

Credits:	2.0 [max 2.0]
Course Equivalencies:	Chem 4223W/ChEn 4223/MatS4223W
Typically offered:	Every Spring

Synthesis, characterization, and physical properties of polymers. Free radical, condensation, emulsion, anionic polymerization. Infrared spectroscopy/gel permeation chromatography. Viscoelasticity, rubber elasticity, crystallization. prereq: CHEM 4221 coreq CHEM 4214 or CHEN 4214 or MATS 4214 or instr consent

CHEM 4423W - Foundations of Chemical Biology Laboratory (WI)

Credits:	2.0 [max 2.0]
Typically offered:	Every Fall & Spring

Experimental techniques from all areas of chemistry applied to biological problems. Experiments to highlight techniques and concepts used in modern Chemical Biology research. Emphasis on connections between classroom/laboratory learning and experimental science, health, disease, and medical research. While biochemistry courses are allowed as a prerequisite, completion of or concurrent enrollment in Chem 4411, Introduction to Chemical Biology, will provide students with the best preparation for this lab course. prereq: Chem 2311 or 2312H or 2085 (prereq); and Chem 4411 or BioC 4331 or BioC 3021 (concurrent allowed)

CHEM 2094 - Directed Research

Credits:	1.0 -3.0 [max 3.0]
Typically offered:	Every Fall, Spring & Summer

The directed study experience allows a student to work directly with a faculty on a research project. Students enrolling in this directed study/research course will complete the University's common Directed Study/Research contract with the faculty mentor/evaluator. prereq: instr consent

CHEM 4094W - Directed Research (WI)

Credits:	1.0 -5.0 [max 30.0]
Typically offered:	Every Fall, Spring & Summer

Learning experience in areas not covered by regular courses. Individually arranged with faculty member. prereq: Any 3xxx or 4xxx chem course, instr consent

CHEM 4011 - Mechanisms of Chemical Reactions

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Reaction mechanisms, methods of study. Mechanistic concepts. Gas phase reactions. "Electron pushing" mechanisms in organic/enzymatic reactions. Kinetic schemes, other strategies. prereq: [2302, 4501] or equiv

CHEM 4021 - Computational Chemistry

Credits:	3.0 [max 3.0]
Typically offered:	Every Spring

Theoretical methods for study of molecular structure, bonding, and reactivity. Ab initio/semi-empirical calculations. Theoretical determination of molecular electronic structure/spectra, relation to experimental techniques. Molecular mechanics. Structure determination for large systems. Molecular properties/reactivity. Computational tools. Critical assessment of methods/theoretical work in the literature. Lab. prereq: [4502 or equiv], instr consent

CHEM 4094W - Directed Research (WI)

Credits:	1.0 -5.0 [max 30.0]
Typically offered:	Every Fall, Spring & Summer

Learning experience in areas not covered by regular courses. Individually arranged with faculty member. prereq: Any 3xxx or 4xxx chem course, instr consent

CHEM 4101 - Modern Instrumental Methods of Chemical Analysis

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Basic electronic, optical, computer technologies in design of chemical instrumentation. Advanced topics in spectroscopy (e.g., FT-NMR, FT-IR, atomic absorption/emission). Electrochemistry. Mass spectrometry. prereq: 2101, 2111

CHEM 4201 - Materials Chemistry

Credits:	3.0 [max 3.0]
Course Equivalencies:	Chem 4201/Chem 8201
Typically offered:	Every Fall

Crystal systems/unit cells, phase diagrams, defects/interfaces, optical/dielectric properties, electrical/thermal conductivity, X-ray diffraction, thin film analysis, electronic structure, polarons/phonons, solid state chemistry, liquid/molecular crystals, polymers, magnetic/optical materials, porous materials, ceramics, piezoelectric materials, biomedical materials, catalysts. prereq: [[4502 or equiv], 4701] or instr consent

CHEM 4311W - Advanced Organic Chemistry Lab (WI)

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall & Spring

Reactions, techniques, and instrumental methods in synthetic organic chemistry. prereq: 2311

CHEM 4321 - Organic Synthesis

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Fundamental concepts, reactions, reagents, structural/stereochemical issues, mechanistic skills for organic chemistry. prereq: [2302 or equiv], 4501, instr consent

CHEM 4322 - Advanced Organic Chemistry

Credits:	3.0 [max 3.0]
Typically offered:	Every Spring

Topics vary by instructor. Examples: natural products, heterocycles, asymmetric synthesis, organometallic chemistry, polymer chemistry. prereq: [2302 or equiv], 4501, instr consent

CHEM 4352 - Physical Organic Chemistry

Credits:	3.0 [max 3.0]
Typically offered:	Every Spring

Fundamental concepts and mechanistic tools for analysis of organic reaction mechanisms. Solvation, reactive intermediates, gas phase chemistry. Photochemistry/strained-ring chemistry. prereq: 4501, [4011 or 8011]

CHEM 4361 - Interpretation of Organic Spectra

Credits:	3.0 [max 3.0]
Typically offered:	Every Spring

Application of nuclear magnetic resonance, mass, ultraviolet, and infrared spectral analyses to organic structural problems. prereq: [2302 or equiv], 4501, instr consent

CHEM 4411 - Introduction to Chemical Biology

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Chemistry of amino acids, peptides, proteins, lipids, carbohydrates, and nucleic acids. Structure, nomenclature, synthesis, reactivity. Techniques to characterize biomolecules. prereq: [2302 or 2081 equiv]

CHEM 4412 - Chemical Biology of Enzymes

Credits:	3.0 [max 3.0]
Typically offered:	Periodic Spring

Enzyme classification with examples from current literature. Strategies to decipher enzyme mechanisms. Chemical approaches to control enzyme catalysis. prereq: [2302 or equiv], 4501

CHEM 4511W - Advanced Physical Chemistry Lab (WI)

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Experiments illustrating principles and methods of thermodynamics, reaction kinetics, and quantum mechanics. prereq: 4502, chemistry major

CHEM 4601 - Green Chemistry (ENV)

Credits:	3.0 [max 3.0]
Typically offered:	Every Spring

Survey key aspects of green chemistry in modern research and development both in academia and industry, as well as relevant implications for the environment, technology, and public policy. prereq: [2302 or 2081 or equiv]

CHEM 4711W - Advanced Inorganic Chemistry Lab (WI)

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Lab experiments in inorganic/organometallic chemistry illustrating synthetic/spectroscopic techniques. prereq: 4701, chem major

CHEM 4715 - Physical Inorganic Chemistry

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Physical methods (e.g., IR, UV-VIS, ESR, Mossbauer and mass spectroscopy, magnetic measurements, X-ray diffraction) and concepts applied to inorganic and organometallic systems. prereq: 4701 or equiv, chem major or instr consent

CHEM 4725 - Organometallic Chemistry

Credits:	3.0 [max 3.0]
Typically offered:	Periodic Fall

Synthesis, reactions, structures, and other properties of main group and transition metal organometallic compounds; electronic and structural theory, emphasizing their use as stoichiometric and homogeneous catalytic reagents in organic and inorganic systems. prereq: 4701 or equiv, chem major or instr consent

CHEM 4735 - Bioinorganic Chemistry

Credits:	3.0 [max 3.0]
Typically offered:	Periodic Spring

Role of metal ions in biology. Emphasizes structure, function, and spectroscopy of metalloproteins and their synthetic analogs. prereq: 4701 or equiv, chem grad or instr consent

CHEM 4745 - Advanced Inorganic Chemistry

Credits:	3.0 [max 3.0]
Typically offered:	Periodic Spring

Topics in main group and transition metal chemistry. Emphasizes synthesis, structure, physical properties, and chemical reactivity. prereq: 4701, chem major, instr consent

CHEM 5210 - Materials Characterization

Credits:	4.0 [max 4.0]
Typically offered:	Every Spring

Modern tools/techniques for both bulk- and thin-film characterization. Topics may include ion-solid interactions, Rutherford back scattering, secondary ion mass spectrometry, solid-state NMR, x-ray photoelectron spectroscopy, small-angle x-ray/neutron scattering, transmission/scanning electron/probe microscopy, near-field scanning optical microscopy, porosimetry, adsorption techniques, and ellipsometry. prereq: grad student or instr consent

CHEM 4001 - Chemistry of Biomass and Biomass Conversion to Fuels and Products (ENV)

Credits:	4.0 [max 4.0]
Course Equivalencies:	BBE 4001/BBE 5001/Chem 4001
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Chemistry of biomass and its sustainable utilization for biofuels and bioproducts, including bio-based materials. Chemicals/energy and their environmental implications within the context of chemical principles and associated reactions underlying the structure, properties, processing, and performance of plant materials. prereq: Chem 2301 or Chem 1082 or instructor consent

BBE 4001 - Chemistry of Biomass and Biomass Conversion to Fuels and Products (ENV)

Credits:	4.0 [max 4.0]
Course Equivalencies:	BBE 4001/BBE 5001/Chem 4001
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Chemistry of biomass and its sustainable utilization for biofuels and bioproducts, including bio-based materials. Chemicals/energy and their environmental implications within the context of chemical principles and associated reactions underlying the structure, properties, processing, and performance of plant materials. prereq: Chem 2301 or Chem 1082 or instructor consent

CHEM 4214 - Polymers

Credits:	3.0 [max 3.0]
Course Equivalencies:	Chem 4214/ChEn 4214/MatS 4214
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Structure/morphology of crystalline/amorphous states. Crystallization kinetics. Vitrification, glass transition. Mechanical properties, failure, permeability, optical/electrical properties, polymer composites, effect of processing. prereq: [MATS 3011, [CHEN 3101 or CHEN 4101 or MATS 4001], [upper div MatS or ChEn or CHEM]] or instr consent

CHEN 4214 - Polymers

Credits:	3.0 [max 3.0]
Course Equivalencies:	Chem 4214/ChEn 4214/MatS 4214
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Polymer structure-property relations: structure/morphology of crystalline/amorphous states. Crystallization kinetics. Vitrification and the glass transition. Mechanical properties, failure, permeability, optical/electrical properties, polymer composites, effect of processing on properties. prereq: [[MATS 3011, [3101 or MATS 3001], [upper div MatS or ChEn]]] or instr consent

MATS 4214 - Polymers

Credits:	3.0 [max 3.0]
Course Equivalencies:	Chem 4214/ChEn 4214/MatS 4214
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Polymer structure-property relations: structure/morphology of crystalline/amorphous state. Crystallization kinetics. Vitrification and glass transition. Mechanical properties, failure, permeability, optical/electrical properties, polymer composites, effect of processing on properties. prereq: [3011, [3001 or CHEN 3101], [upper div MatS or ChEn]] or instr consent

CHEM 4301 - Applied Surface and Colloid Science

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4301/BBE 5301/Chem 4301
Typically offered:	Every Fall

Introduction to surface/colloid science concepts. Surface tension, wetting, adsorption, capillarity. Formation/stability of sols, emulsions, and foams. Water solubility. Partition coefficients of organic species. Properties of both surfactants and water soluble polymers. Focuses on interdisciplinary applications. prereq: 3043 or BMEN 2101 or CHEN 3101 or CHEM 4501 or instr consent

BBE 4301 - Applied Surface and Colloid Science

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4301/BBE 5301/Chem 4301
Typically offered:	Every Fall

Introduction to surface/colloid science concepts. Surface tension, wetting, adsorption, capillarity. Formation/stability of sols, emulsions, and foams. Water solubility. Partition coefficients of organic species. Properties of both surfactants and water soluble polymers. Focuses on interdisciplinary applications. prereq: 3043 or BMEN 2101 or CHEN 3101 or CHEM 4501 or instr consent

CHEM 4221 - Introduction to Polymer Chemistry

Credits:	3.0 [max 3.0]
Course Equivalencies:	ChEn 8221/MatS 8221/Chem 8221
Typically offered:	Every Fall

Condensation, radical, ionic, emulsion, ring-opening, metal-catalyzed polymerizations. Chain conformation, solution thermodynamics, molecular weight characterization, physical properties. prereq: [2302, 4501] or instr consent

MATS 4221 - Materials Performance

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Fall

Thermal/mechanical processing to control properties/other applications. Analysis of costs/performance, failure in metallurgical structures by use of fracture mechanics methodology. prereq: 3012, AEM 2031, Upper div MatS

AEM 2011 - Statics

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall, Spring & Summer

Force/moment vectors, resultants. Principles of statics and free-body diagrams. Applications to simple trusses, frames, and machines. Distributed loads. Internal forces in beams. Properties of areas, second moments. Laws of friction. prereq: PHYS 1301W, [concurrent registration is required (or allowed) in Math 2374 or equiv], CSE

AEM 2012 - Dynamics

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall, Spring & Summer

Kinematics/kinetics of particles. Newton's laws. Energy/momentum methods. Systems of particles. Kinematics/kinetics of planar motions of rigid bodies. Plane motion of rigid bodies. Mechanical vibrations. prereq: 2011, [concurrent registration is required (or allowed) in Math 2373 or equiv], CSE student

AEM 2021 - Statics and Dynamics

Credits:	4.0 [max 4.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall & Spring

Force/moment vectors, resultants. Principles of statics and free-body diagrams. Applications to simple trusses, frames, and machines. Properties of areas, second moments. Internal forces in beams. Laws of friction. Principles of particle dynamics. Mechanical systems and rigid-body dynamics. Kinematics/dynamics of plane systems. Energy/momentum of 2-D bodies/systems. prereq: Phys 1301W, [concurrent registration is required (or allowed) in Math 2374 or equiv], CSE

AEM 3031 - Deformable Body Mechanics

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall, Spring & Summer

Uniaxial loading/deformation. Stress/strain at point, Mohr's circle. Internal forces in beams. Material behavior, linear elasticity. Torsion of circular shafts. Bending of beams of symmetrical section. Column buckling. Statically indeterminate structures. prereq: [2011 or 2021 or [BMEN 3011, BMEN major]], [Math 2374 or equiv], [concurrent registration is required (or allowed) in Math 2373 or equiv], CSE

ANSC 2011 - Dairy Cattle Judging

Credits:	2.0 [max 2.0]
Typically offered:	Every Fall

Evaluation of dairy animals on the basis of physical appearance, including classes of heifers and cows from the six major dairy breeds. Held in conjunction with the Minnesota State Fair. Training in oral reasons. prereq: instr consent

ANSC 3011 - Statistics for Animal Science

Credits:	4.0 [max 4.0]
Course Equivalencies:	AnSc 3011/ESPM 3012/Stat 3011/
Typically offered:	Every Fall

Basic statistical concepts. Develop statistical reasoning/critical thinking skills. Descriptive statistics, probability, sampling and sampling distributions, hypothesis testing, experimental design, linear correlation, linear regression and multiple regression. How to make sound arguments/decisions based on statistics when reviewing news articles or scientific publications with statistical content. Explore/draw conclusions from data using a basic statistical software package.

BBE 3002 - Introduction to Engineering Design

Credits:	3.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Every Fall

Identify, formulate, develop/complete open-ended designs in bioproducts & biosystems engineering at the conceptual level; engineering economics principles, safety/health considerations, and ethics for design project. Written, graphical, and oral presentations. prereq: BBE 2003, Chem 1061, Math 2243 or Math 2373, BBE or Pre-BBE student or instr consent

BBE 3012 - Transport in Biological Processes I

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Fall

Introduction to fluid mechanics. Fluid statics/kinematics. Differential/finite control volume analysis with continuity, momentum, energy equations. Bernoulli/Euler Equation. Dimensional analysis. Potential flow. Non-Newtonian Fluids. Applications to biological fluids/biological systems. prereq: BBE 1001 or concurrent registration and BBE 2001 and BBE 3033 and Math 2243 or Math 2373 or Math 2574H and Math 2263 or Math 2374 or Math 2573H and Phys 1302W or Phys 1402V

BBE 3013 - Engineering Principles of Molecular and Cellular Processes

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Applied engineering principles in biological processes. Classification of microbes of industrial importance. Parameters for cellular control. Modeling of cell growth/metabolism, enzymatic catalysis, bioreactor design, product recovery operations design. Case studies. prereq: BIOL 1009 or BIOL 2003; and CHEM 1062/CHEM 1066 or equivalent or CHEM 1082; MATH 1372 or MATH 1282

BBE 3023 - Ecological Engineering Principles

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Physical, thermal, texture, strength, moisture properties of soil. Saturated/unsaturated moisture movement. Quantitative descriptions of mass/energy flux/storage in ecosystems. Distribution of vegetation in landscapes. Engineering/management impacts on soil-water-plant systems. prereq: BIOL 1009, [3012 or concurrent registration is required (or allowed) in 3012] or instr consent

BBE 3033 - Material and Energy Balances in Biological Systems

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Basic principles of materials and energy balances and their applications in biological systems. prereq: CHEM 1062 or CHEM 1082, MATH 1372 or equivalent or MATH 1282 and PHYS 1302W or PHYS 1222

BBE 3043 - Biological and Environmental Thermodynamics

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Laws of thermodynamics for energy, environmental and biological sciences. First/second laws of thermodynamics in representing phase change, biochemical reactions, metabolic cycles, and photosynthesis. prereq: BIOL 1009 or BIOL 2003 and CHEM 1065 or equivalent or CHEM 1081, MATH 1372 or MATH 1282 and PHYS 1302W or PHYS 1222

BBE 3201 - Sustainability of Food Systems: A Life Cycle Perspective (GP)

Credits:	3.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Every Fall & Spring

Consequences of global food system. Diversity in food systems. Current topics in food sustainability.

BBE 4013 - Transport in Biological Processes II

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Application of thermodynamics, fluid flow, and heat/mass transfer to design problems. Biological processes/materials at cell, organism, and system level. Agricultural, environmental, food, and bioprocess applications. Solution of equations involving computer programming assignments. prereq: 3012, 3033, 3043, [upper div CSE or instr consent]

BBE 4023W - Process Control and Instrumentation (WI)

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4023/BBE 5023/CEGE 4416/CE
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Measurement of motion, force, pressure, flow, temperature, size, shape, color, texture, rheology, moisture, water mobility, fat, and pH. Linking physical and biological control systems. prereq: Upper div CSE or grad student

BBE 4302 - Biodegradation of Bioproducts

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4302/BBE 5302/BP 4302/5302
Typically offered:	Every Spring

Organisms of importance to bio-based products. Deterioration, control, bioprocesses for benefit. prereq: 1002 or instr consent

BBE 4303 - Introduction to Bio-based Materials Science

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4303/BBE 5303
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Principles of materials science, their application to bio-based materials. prereq: 2001 or instr consent

BBE 4305 - Pulp and Paper Technology

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4305/BBE 5305
Typically offered:	Every Spring

Pulping processes, fiber refining/processing, paper manufacturing, fiber/paper properties, recycling. Water requirements, effluent treatment. Chemical/mechanical pulping, pulp preparation, secondary fiber, de-inking, wet end additives. Lab problems/exercises, lectures. Online course. prereq: Junior or senior or instr consent

BBE 4401 - Bioproducts Separation and Purification Processes

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4401/BBE 5401
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Unit operations of bioproducts engineering/manufacture; separations and purification processes. prereqs: BBE 2003 and BBE 4013 and BBE 3002 or concurrent registration in BBE 3002, [jr or sr or instr consent]

BBE 4404 - Biopolymers and Biocomposites Engineering

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4404/BBE 5404
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Structure/properties of biopolymers. Engineering of composites from these biopolymers or plant-based materials. prereq: [BBE/CSE upper division] or instr consent

BBE 4523 - Ecological Engineering Design

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4523/BBE 5523
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Application of ecological engineering to design of remediation systems. Artificial ecosystems, ecosystem/wetland restoration, constructed wetlands. Biological engineering for slope stability. Waste treatment. Restoring ecological service of watersheds. prereq: BBE 3012 and CSE upper division or instr consent

BBE 4533 - Sustainable Waste Management Engineering

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Sources/characteristics of agricultural wastes. Livestock, food processing, domestic wastes. Physical, biological, chemical, rheological, microbiological properties. Effects on environment. Collection, storage, treatment (aerobic/anaerobic), use/disposal. Land application. prereq: 3023, upper div CSE

BBE 4535 - Assessment and Diagnosis of Impaired Waters

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4535/BBE 5533/BBE 5535
Grading Basis:	A-F only
Typically offered:	Every Fall

Assessing impaired waters and developing TMDL for conventional pollutants. Preparing/communicating legal, social, and policy aspects. TMDL analysis of real-world impaired waters problem. Field trip to impaired waters site. prereq: BBE 3012 and Upper division in CSE or CFANS or CBS student or instr consent

BBE 4608 - Environmental and Industrial Microbiology

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4608/BBE 5608
Grading Basis:	A-F only
Typically offered:	Every Fall

Microbes, including fungi, bacteria, and other small-scale organisms, are the pioneer life of the planet, shaping and maintaining the ecosystem. Microbiology is the discipline that studies the basic biology and fundamental processes of microbes, with the aim of answering and solving the relevant environmental and industrial questions. Microbiology remains a frontier, but has developed significantly in recent years. Growth in this research area is largely due to vast improvements in molecular tools (for example: genome sequencing and editing, microscopes, data analysis) and other biochemical techniques, often driven by interest in emergent applications for these unique organisms. These applications include those related to protecting environmental quality as well as those related to making novel products, including materials, fuels, and chemicals. These also include understanding the roles of microbes in the natural nutrient cycles and other key natural processes. This course is therefore designed to introduce students to the taxonomy, biology and ecology of microbes, and to focus on key applications for which these microbes can be applied. prereq: BIOL 1001 or BIOL 1009 or BIOL 2003 and CHEM 1011 or CHEM 1061 or CHEM 1081

BBE 4713 - Biological Process Engineering

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4713/BBE 5713
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Material/energy balances. Homogeneous reactions of bioprocess engineering/biological systems. Fermentation engineering, reactor design. Filtration, centrifugation, separation, absorption, extraction, chromatography. Biorefining. Conversion of biomass. prereq: [3033, [4013 or concurrent registration is required (or allowed) in 4013], upper div CSE] or instr consent

BBE 4723 - Food Process Engineering

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4723/BBE 5723
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Material/energy balance, fluid dynamics, heat/mass transfer in refrigeration, freezing, psychometrics, dehydration, evaporation, non-thermal processing, and separation. Development control for production of food products. prereq: [[4013 or concurrent registration is required (or allowed) in 4013], upper div CSE] or instr consent

BBE 4733 - Renewable Energy Technologies (TS)

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4733/CEGE 4513/ChEn 5551
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Energy security. Environmental, economic, societal impacts. Current/emerging technologies for production/use, characteristics of renewable energy, key methods for efficient production. Current/probable future. Impact on sustainable development. prereq: Junior or senior

BBE 4743 - Nanobioengineering & Nanobiotechnology

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4743/BBE 5743
Typically offered:	Every Spring

This course will educate on the interdisciplinary areas of bionanotechnology/nanobiotechnology and nanobioengineering, including engineering principles and inherent technological applications. Prereq: Upper division in CSE or juniors and seniors in physical sciences, biological sciences and engineering (including CBS and CFANS) or equivalent or instructor consent.

BBE 4744 - Engineering Principles for Biological Scientists

Credits:	4.0 [max 4.0]
Course Equivalencies:	BBE 4744/FScN 4331
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Material/energy balances applied to processing systems. Principles of fluid flow, thermodynamics, heat, mass transfer applied to food and bioprocess unit operations such as pumping, heat exchange, refrigeration/freezing, drying, evaporation, and separation. prereq: [Math 1142 or Math 1271], Phys 1101; intended for non engineering students

BBE 4753 - Air Quality and Pollution Control Engineering

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4753/BBE 5753/CEGE 5561
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Air quality and pollution control engineering systems. Air pollutant sources, emissions transformations, dispersion, fate and impacts. Introduction to air quality and pollution laws, regulations and permits. Control technologies including energy conservation, cyclones, electrostatic precipitators, fabric filters, absorbers, adsorbers, incinerators and biofilters. prereqs: BBE 3012, 3043, upper division CSE, graduate student or instructor consent. Credit will not be granted if credit has been received for CEGE 5561

BIOC 4125 - Laboratory in Molecular Biology and Biotechnology

Credits:	3.0 [max 3.0]
Course Equivalencies:	BioC 4125/BioC 4185/Biol 4125/
Grading Basis:	A-F only
Typically offered:	Every Summer

This molecular biology laboratory course is designed to give students hands-on experience performing common techniques used in modern molecular biology, as well as the background information needed to understand what kind of information can be obtained by using them. Because of the dual nature of this course, a portion of the laboratory time will be spent on lectures explaining the theory behind the techniques being used as well as practical aspects of experimental design. In addition, readings will be assigned that explain the history and principles behind some of the techniques used. Basic recombinant DNA techniques: methods for growing, isolating, and purifying recombinant DNA and cloning vectors, DNA sequencing and sequence analysis, gene expression, Polymerase Chain Reaction (PCR), other current techniques. prereq: Biol 3015 or Biol 3020 or Biol 3025 or Bioc 3021 or Bioc 3022 or Bioc 4331 or Biol 4003 or instructor consent

BIOC 4331 - Biochemistry I: Structure, Catalysis, and Metabolism in Biological Systems

Credits:	4.0 [max 4.0]
Course Equivalencies:	BioC 3021/BioC 3022/BioC 4331/
Typically offered:	Every Fall & Spring

Advanced survey of structure/catalysis, metabolism/bioenergetics. prereq: (BIOL 1009 or 2003 or equiv) AND (Chem 2302 or CHEM 2081/2085 or equiv)

BIOC 4332 - Biochemistry II: Molecular Mechanisms of Signal Transduction and Gene Expression

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall & Spring

Advanced survey of molecular biology. Mechanisms of gene action/biological regulation. prereq: BioC 4331 or Bioc 3201 or BioC 3022

BIOC 4351 - Protein Engineering

Credits:	3.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Every Fall

Key properties of enzymes/molecular basis, computer modeling strategies, mutagenesis strategies to create protein variants, expression/screening of protein variants. Evaluate research papers, identify unsolved practical/theoretical problems, plan protein engineering experiment. prereq: 4331 or instr consent

BIOC 4521 - Introduction to Physical Biochemistry

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall & Spring

Physical chemical principles, their applications in biochemistry. Thermodynamics, kinetics, spectroscopy, solution dynamics as applied to biochemical reactions/ biopolymers. prereq: 4331 recommended, (Chem 1081 or 1061 and 1065) AND (Physics 1221 or 1201W or 1301W) required

BIOC 5309 - Biocatalysis and Biodegradation

Credits:	3.0 [max 3.0]
Course Equivalencies:	Bioc 5309/MicE 5309
Typically offered:	Every Spring

Fundamentals of microbial enzymes/metabolism as pertaining to biodegradation of environmental pollutants/biosynthesis for making commodity chemicals. Practical examples. Guest speakers from industry.

BIOC 5351 - Protein Engineering

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Key properties of enzymes/molecular basis, computer modeling strategies, mutagenesis strategies to create protein variants, expression/screening of protein variants. Evaluate research papers, identify unsolved practical/theoretical problems, plan protein engineering experiment.

BIOC 5352 - Biotechnology and Bioengineering for Biochemists

Credits:	3.0 [max 3.0]
Course Equivalencies:	BioC 5352/MicB 5352
Grading Basis:	A-F or Aud
Typically offered:	Periodic Spring

Protein biotechnology. Microorganisms used as hosts for protein expression, protein expression, and engineering methods. Production of enzymes of industrial interest. Applications of protein biotechnology in bioelectronics. Formulation of therapeutic biopharmaceuticals. Recommended prerequisites: Biochemistry (BiOC 3021 or 3022 or 4331) and Microbiology MICB 3301

BIOC 5361 - Microbial Genomics and Bioinformatics

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall & Spring

Introduction to genomics. Emphasizes microbial genomics. Sequencing methods, sequence analysis, genomics databases, genome mapping, prokaryotic horizontal gene transfer, genomics in biotechnology, intellectual property issues. Hands-on introduction to UNIX shell scripting, genomic data analysis using R and Excel in a computer lab setting. prereq: College-level courses in [organic chemistry, biochemistry, microbiology]

BIOC 5444 - Muscle

Credits:	3.0 [max 3.0]
Course Equivalencies:	BioC 5444/ Phsl 5444
Typically offered:	Every Spring

Muscle molecular structure/function and disease. Muscle regulation, ion transport, and force generation. Muscular dystrophy and heart disease. prereq: 3021 or BIOL 3021 or 4331 or BIOL 4331 or PHSL 3061 or instr consent

BIOC 5528 - Spectroscopy and Kinetics

Credits:	4.0 [max 4.0]
Typically offered:	Every Spring

Biochemical dynamics from perspectives of kinetics and spectroscopy. Influence of structure, molecular interactions, and chemical transformations on biochemical reactions. Focuses on computational, spectroscopic, and physical methods. Steady-state and transient kinetics. Optical and magnetic resonance spectroscopies. prereq: Intro physical chemistry or equiv; intro biochemistry recommended

BIOL 3004 - Foundations of Biology for Biological Sciences Majors, Part II Laboratory

Credits:	3.0 [max 3.0]
Course Equivalencies:	Biol 3004/Biol 3004H
Grading Basis:	A-F only
Typically offered:	Every Fall & Spring

This course follows BIOL 1961 and is required for all CBS majors. Students design and perform research projects that will require an additional 4-to-6 hours per week of work outside of class; times to be arranged. Each section is devoted to a single research area; check the section details to see which sections correspond to each research area. Research projects in zebrafish environmental toxicology and zebrafish microbiome sections will require in-person work in the BIOL 3004 laboratory. Only students with previous command line coding experience should enroll for a computational microbiology section. All projects involve applying quantitative skills, scientific method, and modern biological tools to real-world questions. Prerequisite is Foundations of Biology Lab I: BIOL 1961, 1961H, 2002, or 2002H AND CHEM 1021, 1061, 1071H, or 1081. Credit will not be granted if credit has been received for: BIOL 3004H.

BIOL 3025 - Molecular Biology and Society (TS)

Credits:	3.0 [max 3.0]
Course Equivalencies:	Biol 3015/Biol 3020/3025
Typically offered:	Every Fall & Spring

An in-depth analysis of molecular biology topics and methods related to the Central Dogma of modern biology. This course is open to both CBS majors and non-CBS majors. Prerequisites include Biol2003/2003H or [Biol1009/1009H AND Chem1061/1061H].

BIOL 3209 - Understanding the Evolution-Creationism Controversy (CIV)

Credits:	3.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Every Fall & Spring

Aspects of evolution-creationism controversy, including its history, legacy, relevance, and key people. Court decisions, public opinion, and related issues (e.g., racism, politics). prereq: BIOL 1001, 1009, 1951 or 2002, or equiv

BIOL 3211 - Physiology of Humans and Other Animals

Credits:	3.0 [max 3.0]
Course Equivalencies:	AnSc 3301/AnSc 3303W/Biol 3211
Typically offered:	Every Fall & Spring

Study of the various solutions to common physiological problems faced by humans, other vertebrates, and invertebrates. Core concepts in physiology including flow down gradients, homeostatsis, cell-cell communication, interdependence of body systems, cell membrane dynamics, and mathematical modeling of physiological processes. Active learning format. prereq: [1009 or 2003], [CHEM 1062/1066 or 1082/1086], [2005 is recommended]

BIOL 3272 - Applied Biostatistics

Credits:	4.0 [max 3.0]
Course Equivalencies:	Biol 3272Biol 3272H//Biol 5272
Grading Basis:	A-F only
Typically offered:	Every Fall & Spring

Conceptual basis of statistical analysis. Statistical analysis of biological data. Data visualization, descriptive statistics, significance tests, experimental design, linear model, simple/multiple regression, general linear model. Lectures, computer lab. prereq: High school algebra; BIOL 2003 recommended

BIOL 3905 - Beyond the Nobel Prize: Examining the Evolution of Swedish Innovation (GP)

Credits:	3.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Every Spring

This course is open to undergraduates from all disciplines and will appeal to students with a broad interest creativity and innovation.Students will examine innovation across a variety of disciplines and consider how solutions to problems facing society require creativity, collaboration, and new ways of thinking. In particular, we will explore personal creativity, as well as how environments can foster innovation, particularly in the Swedish context by traveling to Stockholm over spring break. We examine the reasons behind Sweden?s ranking (#2 in 2017) on the Global Innovation Index, as well as the Nobel Prize, international awards bestowed by Swedish institutions that recognize significant academic, cultural and scientific advances. In addition, as a learning abroad seminar, students will learn about their own level of and strategies to increase their intercultural competence, and engage in a practical experience of navigating another culture in an intentional and reflective way.

BIOL 4003 - Genetics

Credits:	3.0 [max 3.0]
Course Equivalencies:	Biol 4003/GCD 3022
Typically offered:	Every Fall, Spring & Summer

Genetic information, its transmission from parents to offspring, its expression in cells/organisms, and its course in populations. prereq: Biol 2003/2003H or BioC 3021 or BioC 4331 or grad

BIOL 4004 - Cell Biology

Credits:	3.0 [max 3.0]
Course Equivalencies:	Biol 4004/GCD 3033/4005W
Typically offered:	Every Fall, Spring & Summer

Processes fundamental to cells. Emphasizes eukaryotic cells. Assembly/function of membranes/organelles. Cell division, cell form/movement, intercellular communication, transport, secretion pathways. Cancer cells, differentiated cells. prereq: Completion of Biol 4003 is preferred, Biol2003/2003H or Biol4003 or grad

BIOL 5309 - Molecular Ecology And Ecological Genomics

Credits:	3.0 [max 3.0]
Course Equivalencies:	Biol 5309/PBio 5309
Typically offered:	Fall Even Year

Application of molecular tools (PCR, sequencing, AFLP, SNPs, QTL) and analyses of molecular data for understanding ecological/evolutionary processes. Strengths/weaknesses of techniques/analyses. Questions molecular tools are used to answer. prereq: BIOL 3407 or BIOL 3409 or BIOL 4003

BMEN 2101 - Biomedical Thermodynamics and Kinetics

Credits:	3.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Every Spring

Introduction to thermodynamics and kinetics, framed in the context of biomedical technologies and applications. Topics include principles of probability, extremum principles and equilibria, entropy & the Boltzmann distribution law, thermodynamic driving forces, solutions & mixtures, solvation & transfer of molecules between phases, phase transitions, biological rate processes, noncovalent binding interactions, binding equilibria and kinetics, enzyme kinetics, gene expression, protein trafficking, and network dynamics. Prerequisites BMEN 2501, CHEM 1022, MATH 2373, concurrent registration is required (or allowed) in MATH 2374

BMEN 2501 - Cellular and Molecular Biology for Biomedical Engineers (BIOL)

Credits:	4.0 [max 4.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Fundamentals of cellular/molecular biology. Chemistry of proteins, lipids, and nucleic acids. Applications to biomedical engineering. Function/dynamics of intracellular structures and differentiated animal cells. Application of physical/chemical fundamentals to modeling cellular/subcellular processes. Lecture/lab. prereq: concurrent registration is required (or allowed) in CHEM 1022, concurrent registration is required (or allowed) in MATH 1372, concurrent registration is required (or allowed) in PHYS 1302, CSE student

BMEN 3011 - Biomechanics

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Statics, dynamics, deformable body mechanics applied to biological/biomedical problems. Mechanical properties of biological/commonly used biomedical engineering materials. Techniques for numerical solution of biomechanics problems. Lecture/Discussion. prereq: BME Upper Div or dept consent

CEGE 3101 - Computer Applications I

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall & Spring

Computer tools and computational methods for solving civil, environmental, and geo- engineering problems. Solving systems of linear/nonlinear equations, parameter estimation and engineeringmodel fitting, numerical differentiation/integration, numerical solution of ordinary and partial differential equations. prereq: MATH 1372, PHYS 1301, CSE or instructor consent

CEGE 3501 - Introduction to Environmental Engineering (ENV)

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall & Spring

A quantitative approach to environmental problems, including the development of mass and energy balances and the application of fundamental principles of environmental chemistry and microbiology. Meets the University of Minnesota's liberal education environment theme through the incorporation of environmental function, problems, and solutions throughout the course. prereq: Chem 1062, Phys 1302, Math 1372 or equivalent

CEGE 4563 - Pollutant Fate and Transport: Processes and Modeling

Credits:	3.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Periodic Fall & Spring

This course will focus on understanding the processes that dictate chemical fate in surface waters, including air-water transfer, adsorption, and biological and abiotic degradation. Students will evaluate the kinetics of these processes by interpreting experimental data. They will also characterize transport in surface waters by building theoretical and computational models from scratch that incorporate advection, diffusion and dispersion transport processes. Students will develop finite difference solutions to advection-diffusion-reaction equations, using ideal and non-ideal reactor theory, to describe the ultimate fate of pollutants in surface water systems such as rivers, lakes, and estuaries. Fate and transport of organic pollutants (such as pesticides and pharmaceuticals), as well as biochemical oxygen demand and nutrient pollution, will be studied. Prerequisites: CEGE 3101, CEGE 3501, or instructor consent

CEGE 5541 - Environmental Water Chemistry

Credits:	3.0 [max 4.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Introduction to water chemistry. Physical chemical principles, geochemical processes controlling chemical composition of waters, behavior of contaminants that affect the suitability of water for beneficial uses. prereq: CEGE 3501, Chem 1061, Chem 1062, upper division CSE or grad student or instructor consent

CHEN 3005 - Transport Phenomena: Momentum and Heat

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Fall

Fluid statics/dynamics. Applications to chemical engineering systems, conduction, diffusion. Principles/applications of heat transfer in chemical engineering systems. prereq: [2001 or [transfer student, dept consent]], [Math 2373 or equiv.], upper div ChEn major, C- or better in all pre-reqs

CHEN 3006 - Mass Transport and Separation Processes

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Spring

Introduction to principles of mass transfer. Mass transfer operations used in separation processes, unit operations. prereq: [2001 or 4001], [3005 or 4005], [3101 or 4101], [upper div ChEn major or dept consent], C- or better in all pre-reqs

CHEN 3101 - Chemical Engineering Thermodynamics

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Spring

Applications of thermodynamics/chemical equilibrium to problems in chemical engineering. prereq: ChEn 2001, Chem 1062/1066 Math 2374 or equivalent, & Math 2373 or equivalent

CHEN 3102 - Reaction Kinetics and Reactor Engineering

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Fall

Chemical equilibrium/chemical kinetics applied to chemical engineering systems. Behavior/design of chemical reactors, interaction between chemical/physical rate processes. Mathematical modeling, design of reactors. prereq: [2001 or 4001], [3101 or 4101], [upper div ChEn major or dept consent], C- or better in all pre-reqs

CHEN 3201 - Numerical methods in ChEn applications

Credits:	3.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Every Fall

Numerical methods/applications in heat/mass transfer, advanced chemical engineering applications.

CHEN 3701 - Introduction to Biomolecular Engineering

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Fundamentals of biological systems, from biomolecules to interplays of biomolecules that give rise to processes of life. Students apply chemical engineering principles to analysis of living systems. Prereq: Chem 2301, ChEn 3201, Math 2373 (or equivalent)

CHEN 4501W - Chemical Engineering Design (WI)

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Spring

Engineering economics of process evaluation, including time/bases for cost estimation. Engineering design through group projects. Case studies. prereq: CHEN 3401W, ChEn 3102, ChEn 3006 (or &3006), Chem 2301

CHEN 4601 - Process Control

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Analysis of dynamic behavior/design of linear control systems for chemical processes. Dynamic response/stability of linear ODE systems, tuning of PID controllers, synthesis of feedback, feedforward/feedback controller. prereq: [3102 or 4102], [upper div ChEn major or dept consent], C- or better in all pre-reqs

CHEN 4701 - Applied Math

Credits:	3.0 [max 3.0]
Course Equivalencies:	ChEn 4701/ChEn 8201
Grading Basis:	A-F only
Typically offered:	Every Fall

Integrated approach to solving linear mathematical problems (linear algebraic equations, linear ordinary/partial differential equations) using theoretical/numerical analysis based on linear operator theory. Undergraduate version of 8201. prereq: [3102 or 4102], ChEn major upper div

CHEN 4704 - Advanced Undergraduate Physical Rate Processes I: Transport

Credits:	3.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Every Fall & Spring

Mass transfer, dilute/concentrated diffusion, Brownian motion. Diffusion coefficients in polymers, of electrolytes, at critical points. Multicomponent diffusion. Correlations/predictions. Mass transfer, chemical reaction. prereq: [3005 or 4005], ChEn major upper div

CHEN 4708 - Advanced Undergraduate Chemical Rate Processes: Analysis of Chemical Reactors

Credits:	3.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Every Spring

Design of reactors for heat management, with catalytic processes. Analysis of steady state, transient behavior. Polymerization, combustion, solids processing, environmental modeling. Design of multiphase reactors. prereq: [3102 or 4102], ChEn major upper div

CHEN 5751 - Biochemical Engineering

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Chemical engineering principles applied to analysis/design of complex cellular/enzyme processes. Quantitative framework for design of cells for production of proteins, synthesis of antibodies with mammalian cells, or degradation of toxic compounds in contaminated soil. prereq: [3005 or 4005], [concurrent registration is required (or allowed) in 3006 or concurrent registration is required (or allowed) in 4006], [concurrent registration is required (or allowed) in 3102 or concurrent registration is required (or allowed) in 4102]

EE 2015 - Signals, Circuits and Electronics

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall, Spring & Summer

Introduction to analog electrical systems with particular emphasis on audio circuits and signals. Time and frequency domain representations. Kirchhoff?s laws. Power. Inductance and Capacitance. Introduction to op-amp circuits and their audio applications. Complex numbers and phasors. Introduction to Fourier Series. RLC circuits and basic filter networks. Laboratory experiments on audio amplifiers, distortion, intermodulation products, low-level differential amplifiers, bass/treble filters. prereq: concurrent registration is required (or allowed) in PHYS 1302, concurrent registration is required (or allowed) in (MATH 2243 or MATH 2373 or MATH 2573)

ESCI 2301 - Mineralogy

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Crystallography, crystal chemistry, physics. Physical/chemical properties, crystal structures, chemical equilibria of major mineral groups. Lab includes crystallographic, polarizing microscope, X-ray powder diffraction exercises, hand-specimen mineral identification. prereq: [concurrent registration is required (or allowed) in CHEM 1061, concurrent registration is required (or allowed) in CHEM 1065, concurrent registration is required (or allowed) in MATH 1271] or instr consent

FSCN 3102 - Introduction to Food Science

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Introduction to chemical/physical properties of foods. Evaluating interaction/reaction of foods due to formulation, processing, preparation. prereq: CHEM 1022 or [CHEM 1062 and CHEM 1066]

FSCN 4112 - Food Chemistry and Functional Foods

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Most-important food constituents, their occurrence, structures, functional properties, and health benefits. Proteins, lipids, carbohydrates, water. Vitamins, minerals, enzymes, phytochemicals, food additives, contaminants. prereq: 3102, BIOC 3021

FSCN 4121 - Food Microbiology

Credits:	3.0 [max 3.0]
Grading Basis:	OPT No Aud
Typically offered:	Every Spring

Microorganisms involved in food-borne disease, food fermentations, and food spoilage. Methods for their control/detection. Food microbiology. Foodborne pathogens. Microbial food spoilage. Control of microorganisms in food. prereq: BIOC 3021, [2021 or VBS 2032 or MICB 3301]

GCD 3022 - Genetics

Credits:	3.0 [max 3.0]
Course Equivalencies:	Biol 4003/GCD 3022
Typically offered:	Every Fall, Spring & Summer

Mechanisms of heredity, implications for biological populations. Applications to practical problems. prereq: Introductory biology course such as Biol 1009

GCD 3033 - Principles of Cell Biology

Credits:	3.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Every Fall & Spring

Components and activities common to eukaryotic cells. Chromosomes, membranes, organelles and the cytoskeleton, and processes including cellular communication, replication, motility, transport and gene expression. Relevance to human health and medicine. Appropriate for non-CBS majors. prereq: BIOL 1009 or equiv

GCD 3485 - Bioinformatic Analysis: Introduction to the Computational Characterization of Genes and Proteins

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Fall, Spring & Summer

Bioinformatic analysis is the exploration of molecular sequence, structure, and function using online tools and databases. In this class, we'll learn to use some of the most powerful tools available for biologists to investigate the nature of genes and proteins. We will each explore a gene and the protein it encodes that no one before us has studied. We will learn to analyze and interpret the diverse forms of bioinformatic data we obtain, and we will consider how the data we find allows us to generate and evaluate original hypotheses that can be tested in the laboratory. This is a hands-on course. While the class has no exams, it does require the completion of four problem sets and a summative final project over the course of the semester. It also involves doing some peer review of classmates? work. prereq: introductory course in genetics and cell biology such as Foundations

GCD 3486 - Personal Genome Analysis

Credits:	3.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Spring

In this course, students will analyze their personal genome data. They will gain experience using computer applications and online databases of human genetic information. They will learn about their ancestry, their regional origins, and their risks of genetically linked disease. They will learn how to put human genome results into context and how to explain human genomics in non-technical language. Prerequisite: BIOL 2003/2003H

GCD 4025 - Cell Biology, Development & Regeneration Laboratory

Credits:	3.0 [max 3.0]
Typically offered:	Every Spring

This course is designed for juniors and seniors to learn experimental approaches and techniques to study cellular processes and stem cell biology during animal development and tissue regeneration. Students will be exposed to the advantages of different model systems that include cultured cells, chick, C. elegans and zebrafish. Students will learn to manipulate the cytoskeleton, perform cell differentiation, RNAi and regeneration assays, and to image both fixed tissue and live animal samples with conventional light microscopes as well as cutting edge technology, including super-resolution and multi-photon microscopes. prereq: BIOL 2003/2003H or instructor permission, Recommended prerequisite: BIOL 4004 or GCD 4005W (priority enrollment to GCD majors)

GCD 4034 - Molecular Genetics and Genomics

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Molecular genetics and genomics of eukaryotes. Course emphasizes mechanisms of gene regulation and how these are studied. Current strategies used to study the activity and function of genes and genomes, including the role of chromatin, will be covered. Techniques will include gene knockouts/knockdown, genome engineering, genome-wide analysis of RNA and protein expression and function, as well as genome-wide protein binding and chromatin interaction mapping. Technologies covered will include next-generations and third-generation sequencing and CRISPR-based strategies for gene modification and precision gene regulation. Students will analyze and present recent primary papers in molecular genetic and genomics. Prerequisite: BIOL 4003

GCD 4111 - Histology: Cell and Tissue Organization

Credits:	4.0 [max 4.0]
Typically offered:	Every Spring

Structure/function of vertebrate tissues/organs. Electron microscopy, light microscopy, physiology, cell biology of higher animals. Light microscopy of mammalian tissues. prereq: GCD 3033 or BIOL 4004 or instructor consent

GCD 4143 - Human Genetics and Genomics

Credits:	3.0 [max 3.0]
Typically offered:	Every Spring

Human Genetics ? the science of how our genomes function, vary, and shape our unique, individual characteristics ? is a rapidly expanding field with major implications for medical and fundamental research, clinical practice, and many other areas. In this course, students will learn about the principles of human genetics & genomics at the levels of molecules, cells, individuals, and populations. Topics include patterns of inheritance; the molecular causes and biochemical basis of genetic disorders; disease gene identification; the origin and distribution of human genetic variation; genetic influences on common, complex diseases; epigenetics and regulation of gene expression; genomic technologies for understanding human genomes; cancer genetics; behavioral genetics; human ancestry and evolution; applications such as genetic screening, genetic counseling, and gene therapy; and ethical questions raised by emerging abilities to edit the human genome, modify the human germline, and many more. prereq: BIOL 4003 or instructor consent

GCD 4161 - Developmental Biology

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Developmental biology is the study of the process by which organisms grow and develop from embryo to adult. This field encompasses the biology of morphogenesis, differentiation, regeneration, metamorphosis, and the growth and differentiation of stem cells. Topics focus primarily on animal development to include fertilization, cell specification, body patterning, stem cells, neurogenesis, organogenesis, limb formation, regeneration, sex determination, and developmental timing, as well as environmental impacts on development. Students will learn about genetic models such as fruit flies, nematodes, fish, mice, and plants. Coverage will be extended to human development and disease as appropriate. prereq: BIOL 4003; also recommended prerequisite: BIOL 4004 or GCD 4005W

GCD 4171 - Stem Cells in Biology and Medicine

Credits:	3.0 [max 3.0]
Course Equivalencies:	GCD 8181/SCB 8181
Grading Basis:	A-F only
Typically offered:	Every Spring

Contemporary stem cell biology with emphasis on mechanisms/applications. Embryonic, tissue-specific, and induced pluripotent stem cells and potential uses in human disease. prerequisites: BIOL 4003 Genetics; recommended prerequisite: BIOL 4004 Cell Biology or GCD 4005W This course can be used as an elective for certain CBS majors, such as the GCD major. Check the Program Requirements for your major to determine if it can be used as an elective.

GCD 5005 - Computer Programming for Biology

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Computer programming skills with applications in biology. Design/build new computer programs for applications in cell/developmental biology, including modeling of biological processes, advanced data analysis, automated image analysis. prereq: BIOL 4003 or BIOL 4004 or GCD 3033 or CBS grad or BMBB or MCDB&G grad student, general statistics course

GCD 5036 - Molecular Cell Biology

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Analysis of dynamic cellular activities at the molecular level in cell biological fields that are experiencing new research advances not yet reflected in textbooks. Significant emphasis is placed on understanding the experimental basis of our current knowledge of cellular processes through analysis of scientific papers. Project and presentation-based assessments of learning outcomes. prereq: BIOL 4004 or GCD 4005W or grad

MATH 3283W - Sequences, Series, and Foundations: Writing Intensive (WI)

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 2283/3283W
Typically offered:	Every Fall & Spring

Introduction to reasoning used in advanced mathematics courses. Logic, mathematical induction, real number system, general/monotone/recursively defined sequences, convergence of infinite series/sequences, Taylor's series, power series with applications to differential equations, Newton's method. Writing-intensive component. prereq: [concurrent registration is required (or allowed) in 2243 or concurrent registration is required (or allowed) in 2263 or concurrent registration is required (or allowed) in 2373 or concurrent registration is required (or allowed) in 2374] w/grade of at least C-

MATH 3592H - Honors Mathematics I

Credits:	5.0 [max 5.0]
Grading Basis:	A-F only
Typically offered:	Every Fall

First semester of two-semester sequence. Focuses on multivariable calculus at deeper level than regular calculus offerings. Rigorous introduction to sequences/series. Theoretical treatment of multivariable calculus. Strong introduction to linear algebra.

MATH 3593H - Honors Mathematics II

Credits:	5.0 [max 5.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Second semester of three-semester sequence. Focuses on multivariable calculus at deeper level than regular calculus offerings. Rigorous introduction to sequences/series. Theoretical treatment of multivariable calculus. Strong introduction to linear algebra. prereq: 3592H or instr consent

MATH 4065 - Theory of Interest

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Fall & Spring

Time value of money, compound interest and general annuities, loans, bonds, general cash flows, basic financial derivatives and their valuation. Primarily for students who are interested in actuarial mathematics. prereq: 1272 or 1372 or 1572

MATH 4067W - Actuarial Mathematics in Practice (WI)

Credits:	3.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Every Spring

Real world actuarial problems that require integration of mathematical skills with knowledge from other disciplines such as economics, statistics, and finance. Communication and interpersonal skills are enhanced by teamwork/presentations to the practitioner actuaries who co-instruct. prereq: 4065, ACCT 2050, ECON 1101, ECON 1102

MATH 4242 - Applied Linear Algebra

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 4242/Math 4457
Typically offered:	Every Fall, Spring & Summer

Systems of linear equations, vector spaces, subspaces, bases, linear transformations, matrices, determinants, eigenvalues, canonical forms, quadratic forms, applications. prereq: 2243 or 2373 or 2573

MATH 4281 - Introduction to Modern Algebra

Credits:	4.0 [max 4.0]
Typically offered:	Periodic Fall

Equivalence relations, greatest common divisor, prime decomposition, modular arithmetic, groups, rings, fields, Chinese remainder theorem, matrices over commutative rings, polynomials over fields. prereq: 2283 or 3283 or instr consent

MATH 4428 - Mathematical Modeling

Credits:	4.0 [max 4.0]
Typically offered:	Every Spring

Modeling techniques for analysis/decision-making in industry. Optimization (sensitivity analysis, Lagrange multipliers, linear programming). Dynamical modeling (steady-states, stability analysis, eigenvalue methods, phase portraits, simulation). Probabilistic methods (probability/statistical models, Markov chains, linear regression, simulation). prereq: 2243 or 2373 or 2573

MATH 4512 - Differential Equations with Applications

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall & Spring

Laplace transforms, series solutions, systems, numerical methods, plane autonomous systems, stability. prereq: 2243 or 2373 or 2573

MATH 4567 - Applied Fourier Analysis

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall & Spring

Fourier series, integral/transform. Convergence. Fourier series, transform in complex form. Solution of wave, heat, Laplace equations by separation of variables. Sturm-Liouville systems, finite Fourier, fast Fourier transform. Applications. Other topics as time permits. prereq: 2243 or 2373 or 2573

MATH 4603 - Advanced Calculus I

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 4606/Math 5615/Math 5616
Typically offered:	Every Fall, Spring & Summer

Axioms for the real numbers. Techniques of proof for limits, continuity, uniform convergence. Rigorous treatment of differential/integral calculus for single-variable functions. prereq: [[2243 or 2373], [2263 or 2374]] or 2574 or instr consent

MATH 4604 - Advanced Calculus II

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 4604/Math 5616
Typically offered:	Every Spring

Sequel to MATH 4603. Topology of n-dimensional Euclidean space. Rigorous treatment of multivariable differentiation and integration, including chain rule, Taylor's Theorem, implicit function theorem, Fubini's Theorem, change of variables, Stokes' Theorem. prereq: 4603 or 5615 or instr consent

MATH 4653 - Elementary Probability

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall & Spring

Probability spaces, distributions of discrete/continuous random variables, conditioning. Basic theorems, calculational methodology. Examples of random sequences. Emphasizes problem-solving. prereq: [2263 or 2374 or 2573]; [2283 or 2574 or 3283] recommended

MATH 4707 - Introduction to Combinatorics and Graph Theory

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall & Spring

Existence, enumeration, construction, algorithms, optimization. Pigeonhole principle, bijective combinatorics, inclusion-exclusion, recursions, graph modeling, isomorphism. Degree sequences and edge counting. Connectivity, Eulerian graphs, trees, Euler's formula, network flows, matching theory. Mathematical induction as proof technique. prereq: 2243, [2283 or 3283]

MATH 5067 - Actuarial Mathematics I

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall

Future lifetime random variable, survival function. Insurance, life annuity, future loss random variables. Net single premium, actuarial present value, net premium, net reserves. prereq: 4065, [one sem [4xxx or 5xxx] [probability or statistics] course]

MATH 5068 - Actuarial Mathematics II

Credits:	4.0 [max 4.0]
Typically offered:	Every Spring

Multiple decrement insurance, pension valuation. Expense analysis, gross premium, reserves. Problem of withdrawals. Regulatory reserving systems. Minimum cash values. Additional topics at instructor's discretion. prereq: 5067

MATH 5075 - Mathematics of Options, Futures, and Derivative Securities I

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall

Mathematical background (e.g., partial differential equations, Fourier series, computational methods, Black-Scholes theory, numerical methods--including Monte Carlo simulation). Interest-rate derivative securities, exotic options, risk theory. First course of two-course sequence. prereq: Two yrs calculus, basic computer skills

MATH 5076 - Mathematics of Options, Futures, and Derivative Securities II

Credits:	4.0 [max 4.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Mathematical background such as partial differential equations, Fourier series, computational methods, Black-Scholes theory, numerical methods (including Monte Carlo simulation), interest-rate derivative securities, exotic options, risk theory. prereq: 5075

MATH 5248 - Cryptology and Number Theory

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall

Classical cryptosystems. One-time pads, perfect secrecy. Public key ciphers: RSA, discrete log. Euclidean algorithm, finite fields, quadratic reciprocity. Message digest, hash functions. Protocols: key exchange, secret sharing, zero-knowledge proofs. Probablistic algorithms: pseudoprimes, prime factorization. Pseudo-random numbers. Elliptic curves. prereq: 2 sems soph math

MATH 5251 - Error-Correcting Codes, Finite Fields, Algebraic Curves

Credits:	4.0 [max 4.0]
Typically offered:	Every Spring

Information theory: channel models, transmission errors. Hamming weight/distance. Linear codes/fields, check bits. Error processing: linear codes, Hamming codes, binary Golay codes. Euclidean algorithm. Finite fields, Bose-Chaudhuri-Hocquenghem codes, polynomial codes, Goppa codes, codes from algebraic curves. prereq: 2 sems soph math

MATH 5335 - Geometry I

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall

Advanced two-dimensional Euclidean geometry from a vector viewpoint. Theorems/problems about triangles/circles, isometries, connections with Euclid's axioms. Hyperbolic geometry, how it compares with Euclidean geometry. prereq: [2243 or 2373 or 2573], [concurrent registration is required (or allowed) in 2263 or concurrent registration is required (or allowed) in 2374 or concurrent registration is required (or allowed) in 2574]

MATH 5345H - Honors: Introduction to Topology

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Fall

Rigorous introduction to general topology. Set theory, Euclidean/metric spaces, compactness/connectedness. May include Urysohn metrization, Tychonoff theorem or fundamental group/covering spaces. prereq: [2263 or 2374 or 2573], [concurrent registration is required (or allowed) in 2283 or concurrent registration is required (or allowed) in 2574 or concurrent registration is required (or allowed) in 3283]

MATH 5378 - Differential Geometry

Credits:	4.0 [max 4.0]
Typically offered:	Every Spring

Basic geometry of curves in plane and in space, including Frenet formula, theory of surfaces, differential forms, Riemannian geometry. prereq: [2263 or 2374 or 2573], [2243 or 2373 or 2574]; [2283 or 3283] recommended]

MATH 5385 - Introduction to Computational Algebraic Geometry

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall

Geometry of curves/surfaces defined by polynomial equations. Emphasizes concrete computations with polynomials using computer packages, interplay between algebra and geometry. Abstract algebra presented as needed. prereq: [2263 or 2374 or 2573], [2243 or 2373 or 2574]

MATH 5445 - Mathematical Analysis of Biological Networks

Credits:	4.0 [max 4.0]
Typically offered:	Every Spring

Development/analysis of models for complex biological networks. Examples taken from signal transduction networks, metabolic networks, gene control networks, and ecological networks. prereq: Linear algebra, differential equations

MATH 5447 - Theoretical Neuroscience

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall

Nonlinear dynamical system models of neurons and neuronal networks. Computation by excitatory/inhibitory networks. Neural oscillations, adaptation, bursting, synchrony. Memory systems. prereq: 2243 or 2373 or 2574

MATH 5467 - Introduction to the Mathematics of Image and Data Analysis

Credits:	4.0 [max 4.0]
Typically offered:	Every Spring

Background theory/experience in wavelets. Inner product spaces, operator theory, Fourier transforms applied to Gabor transforms, multi-scale analysis, discrete wavelets, self-similarity. Computing techniques. prereq: [2243 or 2373 or 2573], [2283 or 2574 or 3283 or instr consent]; [[2263 or 2374], 4567] recommended

MATH 5485 - Introduction to Numerical Methods I

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall

Solution of nonlinear equations in one variable. Interpolation, polynomial approximation. Methods for solving linear systems, eigenvalue problems, systems of nonlinear equations. prereq: [2243 or 2373 or 2573], familiarity with some programming language

MATH 5486 - Introduction To Numerical Methods II

Credits:	4.0 [max 4.0]
Typically offered:	Every Spring

Numerical integration/differentiation. Numerical solution of initial-value problems, boundary value problems for ordinary differential equations, partial differential equations. prereq: 5485

MATH 5525 - Introduction to Ordinary Differential Equations

Credits:	4.0 [max 4.0]
Typically offered:	Periodic Fall & Spring

Ordinary differential equations, solution of linear systems, qualitative/numerical methods for nonlinear systems. Linear algebra background, fundamental matrix solutions, variation of parameters, existence/uniqueness theorems, phase space. Rest points, their stability. Periodic orbits, Poincare-Bendixson theory, strange attractors. prereq: [2243 or 2373 or 2573], [2283 or 2574 or 3283]

MATH 5535 - Dynamical Systems and Chaos

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall & Spring

Dynamical systems theory. Emphasizes iteration of one-dimensional mappings. Fixed points, periodic points, stability, bifurcations, symbolic dynamics, chaos, fractals, Julia/Mandelbrot sets. prereq: [2243 or 2373 or 2573], [2263 or 2374 or 2574]

MATH 5583 - Complex Analysis

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 3574/Math 5583
Typically offered:	Every Fall, Spring & Summer

Algebra, geometry of complex numbers. Linear fractional transformations. Conformal mappings. Holomorphic functions. Theorems of Abel/Cauchy, power series. Schwarz' lemma. Complex exponential, trig functions. Entire functions, theorems of Liouville/Morera. Reflection principle. Singularities, Laurent series. Residues. prereq: 2 sems soph math [including [2263 or 2374 or 2573], [2283 or 3283]] recommended

MATH 5587 - Elementary Partial Differential Equations I

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall

Emphasizes partial differential equations w/physical applications, including heat, wave, Laplace's equations. Interpretations of boundary conditions. Characteristics, Fourier series, transforms, Green's functions, images, computational methods. Applications include wave propagation, diffusions, electrostatics, shocks. prereq: [2243 or 2373 or 2573], [2263 or 2374 or 2574]

MATH 5588 - Elementary Partial Differential Equations II

Credits:	4.0 [max 4.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Heat, wave, Laplace's equations in higher dimensions. Green's functions, Fourier series, transforms. Asymptotic methods, boundary layer theory, bifurcation theory for linear/nonlinear PDEs. Variational methods. Free boundary problems. Additional topics as time permits. prereq: [[2243 or 2373 or 2573], [2263 or 2374 or 2574], 5587] or instr consent

MATH 5652 - Introduction to Stochastic Processes

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall & Spring

Random walks, Markov chains, branching processes, martingales, queuing theory, Brownian motion. prereq: 5651 or Stat 5101

MATH 5654 - Prediction and Filtering

Credits:	4.0 [max 4.0]
Typically offered:	Every Spring

Markov chains, Wiener process, stationary sequences, Ornstein-Uhlenbeck process. Partially observable Markov processes (hidden Markov models), stationary processes. Equations for general filters, Kalman filter. Prediction of future values of partially observable processes. prereq: 5651 or Stat 5101

MATH 5705 - Enumerative Combinatorics

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall & Spring

Basic enumeration, bijections, inclusion-exclusion, recurrence relations, ordinary/exponential generating functions, partitions, Polya theory. Optional topics include trees, asymptotics, listing algorithms, rook theory, involutions, tableaux, permutation statistics. prereq: [2243 or 2373 or 2573], [2263 or 2283 or 2374 or 2574 or 3283]

MATH 5707 - Graph Theory and Non-enumerative Combinatorics

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall & Spring

Basic topics in graph theory: connectedness, Eulerian/Hamiltonian properties, trees, colorings, planar graphs, matchings, flows in networks. Optional topics include graph algorithms, Latin squares, block designs, Ramsey theory. prereq: [2243 or 2373 or 2573], [2263 or 2374 or 2574]; [2283 or 3283 or experience in writing proofs] highly recommended; Credit will not be granted if credit has been received for: 4707

MATH 5711 - Linear Programming and Combinatorial Optimization

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall & Spring

Simplex method, connections to geometry, duality theory, sensitivity analysis. Applications to cutting stock, allocation of resources, scheduling problems. Flows, matching/transportation problems, spanning trees, distance in graphs, integer programs, branch/bound, cutting planes, heuristics. Applications to traveling salesman, knapsack problems. prereq: 2 sems soph math [including 2243 or 2373 or 2573]

MATS 3001 - Thermodynamics of Materials

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Fundamental thermodynamic concepts, 1st, 2nd, 3rd Laws. Behavior of gases, liquids, solids. Phase diagrams. Reaction equilibria involving gases, condensed phases. Use of computer-based thermodynamic program(s). Electrochemistry. prereq: MatS upper div

MATS 3002 - Mass Transport and Kinetics

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Mass transport in solids: solid state diffusion, Fick's laws, defects/diffusion mechanisms. Mass transport in fluids: fluid flow, diffusion with convection, mass transfer. Kinetics of chemical reactions and phase transformations. Computer-based problems illustrating applications. prereq: 3001, 3141, [MATH 2373 or equiv], upper div MatS

MATS 3011 - Introduction to Materials Science and Engineering

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall & Spring

Builds progressively from electrons to atoms to bonding to crystal structures. Defects, X-ray diffraction, phase diagrams. Microstructure as basis for understanding mechanical/electrical properties. Metals, polymers, ceramics, semiconductors, composites. prereq: CHEM 1061, CHEM 1065, [MATH 1272 or MATH 1372], PHYS 1302, CSE student

MATS 3012 - Metals and Alloys

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Structure of metals/alloys. Crystal structure/defects (point defects, dislocations, grain boundaries). Microstructure. Properties of metals, especially mechanical properties. prereq: [3011, [MatS or ChEn upper div]] or instr consent

MATS 3013 - Electrical and Magnetic Properties of Materials

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Electronic/magnetic properties of solids. Simple band theory of solids. Free electron theory of conductivity/transport. Optical/dielectric response functions. Elementary theory of magnetism. Electronic devices. Superconductivity. Computer-based problems to illustrate applications. prereq: 3011, [CHEM 4502 or PHYS 2303], [upper div MatS or ChEn] or instr consent

MATS 3141 - Numerical Methods for Materials Science

Credits:	3.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Every Spring

Mathematics and numerical/computation methods for Materials Science. Example problems include: diffusion problems; coupled diffusion/kinetics problems; nucleation, growth and crystallization; quantum mechanics/electrostatic problems relevant to electronic/magnetic/optical devices. The use of MatLab will be emphasized. prereq: Math 2374 or equivalent, MatS 3011 (or &) Coreqs: Math 2373 or equivalent, Chem 4502/Phys 2303

MATS 3801 - Structural Characterization Lab

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Fall

Characterization of structure of engineering materials by optical/electron microscopy, atomic force microscopy, x-ray diffraction, spectroscopic method, related methods. Crystallography, defects, microstructure, macromolecular structure. Specimen preparation, data collection/analysis, maintaining laboratory notebook. prereq: [3011, MatS upper div] or dept consent

MATS 3851W - Materials Properties Lab (WI)

Credits:	4.0 [max 4.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Characterization of properties of engineering materials. Mechanical, electrical, optical, magnetic, and thermal properties. Relationship between properties and materials structure. Specimen preparation. Data collection and analysis, including statistical analysis. Laboratory notebook and report writing. prereq: [3801, 3013, MatS upper div] or dept consent

MATS 4212 - Ceramics

Credits:	3.0 [max 3.0]
Prerequisites:	[3011, [3001 or CHEN 3101], [MatS or ChEn upper div]] or #
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Crystal structures, non-crystalline (glass) structures, microstructure. Ceramic phase relationships: binary/ternary diagrams. Ceramic properties: thermal, mechanical, electrical, magnetic, optical. Computer applications. prereq: [3011, [3001 or CHEN 3101], [MatS or ChEn upper div]] or instr consent

MATS 4221 - Materials Performance

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Fall

Thermal/mechanical processing to control properties/other applications. Analysis of costs/performance, failure in metallurgical structures by use of fracture mechanics methodology. prereq: 3012, AEM 2031, Upper div MatS

MATS 4301W - Materials Processing (WI)

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Spring

Casting, solidification and plastic forming of metals. Powder processing, forming operations, sintering of ceramics. Processing of thermoplastic/thermoset polymers. Computer applications of data collection/reduction. prereq: 4212, [4214 or concurrent registration is required (or allowed) in 4214] Upper Div MatS

MICB 3301 - Biology of Microorganisms

Credits:	5.0 [max 5.0]
Course Equivalencies:	Biol 2032/MicB 3301/VBS 2032
Grading Basis:	A-F only
Typically offered:	Every Fall, Spring & Summer

Taxonomy, anatomy, physiology, biochemistry, pathogenesis, immunology, ecology of microbes. Molecular structure in relation to bacterial function/disease. Includes lab. prereq: [Biol 1961 and Biol 2003] or Biol 1009 or instructor permission

MOT 4001 - Leadership, Professionalism and Business Basics for Engineers

Credits:	2.0 [max 2.0]
Grading Basis:	A-F only
Typically offered:	Every Fall & Spring

Elements of business, environment in which technology/business operate. Classes of 15 to 20 students.

NSCI 3101 - Neurobiology I: Molecules, Cells, and Systems

Credits:	3.0 [max 3.0]
Course Equivalencies:	Biol 3101/NSci 3101/Phsl 3101
Grading Basis:	A-F or Aud
Typically offered:	Every Fall, Spring & Summer

This course discusses the basic principles of cellular and molecular neurobiology and nervous systems. The main topics include: Organization of simple networks, neural systems and behavior; how the brain develops and the physiology and communication of neurons and glia; the molecular and genetic basis of cell organization; ion channel structure and function; the molecular basis of synaptic receptors; transduction mechanisms and second messengers; intracellular regulation of calcium; neurotransmitter systems, including excitation and inhibition, neuromodulation, system regulation, and the cellular basis of learning, memory, and cognition. The course is intended for students majoring in neuroscience, but is open to all students with the required prerequisites. This course is offered in person in the fall and spring semesters and online ONLY in the summer semester. The online summer section covers the same material at the same depth and breadth as the in person fall and spring sections of the course. However, the summer session is 13 weeks (fall and spring are 14 weeks), so the summer course will progress at a slightly faster pace. This is a 3 credit course, so it is expected that students will spend about 150 hours working on course material. This means that the average student can expect to spend ~12 hrs/week on the course. How much time individual students need to spend working on course material will depend on their learning styles.

PHCL 4001 - Mechanisms of Drug Action

Credits:	2.0 [max 2.0]
Typically offered:	Every Fall & Spring

How drugs function as applied to the treatment of a single medical condition. Pharmacology, pharmacokinetics, pharmacodynamics, pharmacogenetics, pharmacogenomics. prereq: Upper div or instr consent; [prev or concurrent] courses in [biology, biochemistry] recommended

PHSL 3051 - Human Physiology

Credits:	4.0 [max 4.0]
Course Equivalencies:	Phsl 3050/Phsl 3051
Typically offered:	Every Fall & Spring

How major organ systems function (nerve, muscle, circulation, respiration, endocrine, renal, gastrointestinal, temperature regulation and energy metabolism). Three one-hour lectures, two-hour lab. prereq: [BIOL 1009 or 1 yr college biol], 1 yr college chem

PHSL 3061 - Principles of Physiology

Credits:	4.0 [max 4.0]
Course Equivalencies:	Phsl 3063/Phsl 3071
Typically offered:	Every Fall

Human physiology with emphasis on quantitative aspects. Organ systems (circulation, respiration, gastrointestinal, renal, endocrine, muscle, peripheral and central nervous systems), cellular transport processes, and scaling in biology. prereq: 1 year college chem and physics and math through integral calculus

PHYS 2201 - Introductory Thermodynamics and Statistical Physics

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall

Thermodynamics and its underlying statistical nature. Prereq: PHYS 1302W or equivalent

PHYS 3022 - Introduction to Cosmology

Credits:	3.0 [max 3.0]
Typically offered:	Spring Odd Year

Large-scale structure and history of universe. Dark matter, cosmic microwave background. Newtonian/relativistic world models. Physics of early universe. Cosmological tests. Prereq: PHYS 2601

PHYS 3041 - Mathematical Methods for Physicists

Credits:	3.0 [max 3.0]
Typically offered:	Every Spring

This course introduces additional mathematical topics that physics majors need to properly handle upper division physics classes. PHYS 1302W, Prereq or CC: MATH 2263/2374/2573H or equivalent, Recommended Prereq: 2503/2503H, Recommended CC: PHYS 2601

PHYS 3605W - Modern Physics Laboratory (WI)

Credits:	3.0 [max 3.0]
Course Equivalencies:	Phys 2605/Phys 3605W
Typically offered:	Every Fall & Spring

Laboratory experiments in atomic, solid state, and nuclear physics. Introduction to data analysis techniques as well as the communication of scientific results through maintaining a logbook and writing papers. Prerequisites: completion (or concurrent registration) in PHYS 2503 or 2503H.

PHYS 4001 - Analytical Mechanics

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall

Analytic Newtonian mechanics. Mathematics beyond prerequisites developed as required. Prereq: PHYS 2503/2503H or equivalent, PHYS 3041

PHYS 4002 - Electricity and Magnetism

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall & Spring

Classical theory of electromagnetic fields using vector algebra and vector calculus. prereq: PHYS 3041, PHYS 2503/2503H or equivalent

PHYS 4051 - Methods of Experimental Physics I

Credits:	5.0 [max 5.0]
Typically offered:	Every Fall

Contemporary experimental techniques. Introduction to modern analog and digital electronics from an experimental viewpoint. Use of computers for data acquisition and experimental control. Statistics of data analysis. Prereq or Concurrent PHYS 3605W, PHYS 3041

PHYS 4052W - Methods of Experimental Physics II (WI)

Credits:	5.0 [max 5.0]
Typically offered:	Every Spring

Second semester of laboratory sequence. Contemporary experimental techniques illustrated by experiments with data analysis. Students design and execute an experimental project. Lectures on specialized topics of professional concern. prereq: PHYS 4051

PHYS 4101 - Quantum Mechanics

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall

Mathematical techniques of quantum mechanics. Schrodinger Equation and simple applications. General structure of wave mechanics. Operator methods, perturbation theory, radiation from atoms. Prereq: PHYS 3041, PHYS 2601

PHYS 4201 - Statistical and Thermal Physics

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Principles of thermodynamics and statistical mechanics. Selected applications such as kinetic theory, transport theory, and phase transitions. Prereq: PHYS 3041, PHYS 2201, PHYS 2601

PHYS 4211 - Introduction to Solid-State Physics

Credits:	3.0 [max 3.0]
Typically offered:	Every Spring

A modern presentation of the properties of solids. Topics include vibrational and electronic properties of solids; diffraction of waves in solids and electron band structure. Other possible topics include optical properties, magnetic phenomena, and superconductivity. prereq: 2201, 4101

PHYS 4303 - Electrodynamics and Waves

Credits:	3.0 [max 3.0]
Typically offered:	Every Spring

Analytical mechanics. Electricity/magnetism, including mechanical/electromagnetic wave phenomena. Physical/geometrical optics. Prereq: PHYS 4002

PHYS 4511 - Introduction to Nuclear and Particle Physics

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Fundamental particles and Standard Model. Symmetries/quarks, models of nuclei, interactions between particles/nuclei, tests of conservation laws, fission/fusion. prereq: 4101

PHYS 4611 - Introduction to Space Physics

Credits:	3.0 [max 3.0]
Typically offered:	Fall Odd Year

Dynamics of charged particles/plasmas in space. Physics of the Sun and solar wind. Solar/galactic cosmic rays. Interactions of solar wind with planetary magnetospheres. Dynamics of Magnetosphere. Formation of the aurora. Physics of radiation belts. prereq: PHYS 4001, PHYS 4002

PHYS 4621 - Introduction to Plasma Physics

Credits:	3.0 [max 3.0]
Typically offered:	Periodic Fall & Spring

Basic properties of collisionless, magnetized plasmas, single particle motion, plasmas as fluids, magnetohydrodynamics, waves in plasmas, equilibrium, instabilities, kinetic theory/shocks. Prereq: PHYS 4001, PHYS 4002

PHYS 4811 - Introduction to General Relativity

Credits:	3.0 [max 3.0]
Typically offered:	Spring Odd Year

Introduction to general relativity for undergraduate students. The course will introduce basic concepts of differential geometry and use them to motivate Einstein's Equation. It will then solve Einstein's equation to study particle orbits, gravitational lensing of light, black holes, and gravitational waves. Brief introduction to cosmology and evolution of the universe will be included. prereq: PHYS 4001 and (PHYS 2503 or 2503H)

PHYS 4911 - Introduction to Biopolymer Physics

Credits:	3.0 [max 3.0]
Course Equivalencies:	Phys 4911/5081
Typically offered:	Every Spring

Introduction to biological and soft condensed matter physics. Emphasizes physical ideas necessary to understand behavior of macromolecules and other biological materials. Elements of thermodynamics and statistical mechanics are presented as needed. Prereq: PHYS 2201 or equivalent

PHYS 5001 - Quantum Mechanics I

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall

Schrodinger equation: bound state and scattering problems in one dimension. Spherically symmetric problems in three dimensions, angular momentum, and the hydrogen atom. Approximation methods for stationary states. Time-dependent perturbation theory. Operators and state vectors: general formalism of quantum theory. prereq: 4101 or equiv or instr consent

PHYS 5002 - Quantum Mechanics II

Credits:	4.0 [max 4.0]
Typically offered:	Every Spring

Symmetry in quantum mechanics, space-time symmetries and the rotation group, Clebsch-Gordan coefficients and the Wigner-Eckart theorem. Scattering theory. Method of second quantization with elementary applications. Relativistic wave equations including Dirac equation. prereq: 5001 or equiv

PHYS 5011 - Classical Physics I

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall

Classical mechanics: Lagrangian/Hamiltonian mechanics, orbital dynamics, rigid body motion, special relativity. prereq: 4001, 4002 or instr consent

PHYS 5012 - Classical Physics II

Credits:	4.0 [max 4.0]
Typically offered:	Every Spring

Classical electromagnetism: electrostatics, magnetostatics, Maxwell's equations, electromagnetic waves, radiation, interaction of charged particles with matter. prereq: 5011 or instr consent

PHYS 5701 - Solid-State Physics for Engineers and Scientists

Credits:	4.0 [max 4.0]
Typically offered:	Periodic Fall & Spring

Crystal structure and binding; diffraction; phonons; thermal and dielectric properties of insulators; free electron model; band structure; semiconductors. prereq: Grad or advanced undergrad in physics or engineering or the sciences

PUBH 3102 - Issues in Environmental and Occupational Health

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall & Spring

This course is an introduction to the field of Environmental and Occupational Health (EOH), the impact of environmental and occupational hazards on individuals and communities, the approaches taken to address EOH issues at the community level,and the challenges that must be overcome to ensure success in dealing with EOH issues. Students will review scientific literature to learn about interventions for environmental health problems, and practice identifying environmental health problems and interventions in their communities. The focus of this course will be on the interaction between humans and the environment and how this interaction affects human health. Online Course.

PUBH 3104 - Environmental Health Effects: Introduction to Toxicology

Credits:	2.0 [max 2.0]
Course Equivalencies:	PubH 3104/PubH 6104
Typically offered:	Every Spring

This course is designed for students who are interested in public health and environmental issues. Toxicology is a multidisciplinary experimental science that combines chemistry, biology, and physiology to determine whether substances we are exposed to in the environment are likely to harm our health. Students will learn how toxicology is used to understand how humans respond to chemicals in the environment. In addition, students will learn how toxicology is applied to protect human health through safety evaluation. prereq: Previous coursework in biology and chemistry; biochemistry is recommended. Ability to analyze data, and understand the basic functions of DNA, enzymes and other proteins, and lipids.

PUBH 3415 - Introduction to Clinical Trials - Online

Credits:	3.0 [max 3.0]
Course Equivalencies:	PubH 3415/PubH 7415
Grading Basis:	A-F only
Typically offered:	Every Fall & Summer

Phases of trials, hypotheses/endpoints, choice of intervention/control, ethical considerations, blinding/randomization, data collection/monitoring, sample size, analysis strategies. Protocol development/implementation, interactive discussion boards. prereq: PUBH 3415 enrollees must have one semester of undergraduate level introductory biostatistics or statistics (STAT 3011, EPSY 3264, SOC 3811, BIOL 3272, or instr consent) AND junior or senior standing or instr consent.

PUBH 3801 - Health Economics and Policy

Credits:	3.0 [max 3.0]
Course Equivalencies:	ApEc 3801/PubH 3801
Typically offered:	Every Spring

Economics of health care markets. Problems faced by consumers/health care services. Builds on principles of supply/demand for health, health care/insurance, and role of government. Theoretical/empirical models/applications. prereq: Course on microeconomics, course on basic statistics

PUBH 6176 - Hazardous Materials and Waste Management

Credits:	2.0 [max 2.0]
Typically offered:	Fall Even Year

Generation, control, and disposal of hazardous materials/wastes. Recognizing, evaluating, controlling, and preventing hazards from chemicals that threaten occupational/environmental health. Lectures, case studies, workshops, field trips. prereq: [6170, [courses in [chemistry, organic chemistry] or equiv]] or instr consent

PUBH 6190 - Environmental Chemistry

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Overview air, water, and soil chemistry. Pertinent environmental problems. Human/ecological multimedia exposures to chemicals in the environment. prereq: One course each in [gen chem, org chem] or instr consent

SOIL 2125 - Basic Soil Science (PHYS, ENV)

Credits:	4.0 [max 4.0]
Course Equivalencies:	Soil 2125/Soil 5125
Grading Basis:	A-F or Aud
Typically offered:	Every Fall & Spring

Basic physical, chemical, and biological properties of soil. Soil genesis classification, principles of soil fertility. Use of soil survey information to make a land-use plan. WWW used for lab preparation information. prereq: [CHEM 1015, CHEM 1017] or CHEM 1021 or equiv

SSM 3301 - Global Water Resource Use and Sustainability (ENV)

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall & Spring

What is the value of clean water? Explore the many facets of water, earth's most abundant resource. Ponder the value water for you, society, a region or nation; the complexities of ownership and protection; the influence of culture and traditions; and potential impacts of climate change. Consider realistic and holistic solutions to water issues.

STAT 3011 - Introduction to Statistical Analysis (MATH)

Credits:	4.0 [max 4.0]
Course Equivalencies:	AnSc 3011/ESPM 3012/Stat 3011/
Typically offered:	Every Fall, Spring & Summer

Standard statistical reasoning. Simple statistical methods. Social/physical sciences. Mathematical reasoning behind facts in daily news. Basic computing environment.

STAT 3021 - Introduction to Probability and Statistics

Credits:	3.0 [max 3.0]
Course Equivalencies:	STAT 3021/STAT 3021H
Typically offered:	Every Fall, Spring & Summer

This is an introductory course in statistics whose primary objectives are to teach students the theory of elementary probability theory and an introduction to the elements of statistical inference, including testing, estimation, and confidence statements. prereq: Math 1272

STAT 3022 - Data Analysis

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall & Spring

Practical survey of applied statistical inference/computing covering widely used statistical tools. Multiple regression, variance analysis, experiment design, nonparametric methods, model checking/selection, variable transformation, categorical data analysis, logistic regression. prereq: 3011 or 3021 or SOC 3811

STAT 3032 - Regression and Correlated Data

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall & Spring

This is a second course in statistics with a focus on linear regression and correlated data. The intent of this course is to prepare statistics, economics and actuarial science students for statistical modeling needed in their discipline. The course covers the basic concepts of linear algebra and computing in R, simple linear regression, multiple linear regression, statistical inference, model diagnostics, transformations, model selection, model validation, and basics of time series and mixed models. Numerous datasets will be analyzed and interpreted using the open-source statistical software R. prereq: STAT 3011 or STAT 3021

STAT 3301 - Regression and Statistical Computing

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Fall & Spring

This is a second course in statistics for students that have completed a calculus-based introductory course. Students will learn to analyze data with the multiple linear regression model. This will include inference, diagnostics, validation, transformations, and model selection. Students will also design and perform Monte Carlo simulation studies to improve their understanding of statistical concepts like coverage probability, Type I error probability, and power. This will allow students to understand the impacts of model misspecification and the quality of approximate inference. prereq: Stat 3021 and (CSci 1113 or CSci 1133), and co-requisite (CSci 2033 or Math 2142 or Math 2243 or Math 2373)

STAT 3701 - Introduction to Statistical Computing

Credits:	4.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Every Fall & Spring

Elementary Monte Carlo, simulation studies, elementary optimization, programming in R, and graphics in R. Prerequisites: (MATH 1272 or 1372 or 1572H), CSCI 1113, and STAT 3032

STAT 4051 - Statistical Machine Learning I

Credits:	4.0 [max 4.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall & Spring

This is the first semester of the Applied Statistics sequence for majors seeking a BA or BS in statistics. The course introduces a wide variety of applied statistical methods, methodology for identifying types of problems and selecting appropriate methods for data analysis, to correctly interpret results, and to provide hands-on experience with real-life data analysis. The course covers basic concepts of single factor analysis of variance (ANOVA) with fixed and random effects, factorial designs, analysis of covariance (ANCOVA), repeated measures analysis with mixed effect models, principal component analysis (PCA) and multidimensional scaling, robust estimation and regression methods, and rank tests. Numerous datasets will be analyzed and interpreted, using the open-source statistical software R and Rstudio. prerequisites: (STAT 3701 or STAT 3301) and (STAT 4101 or STAT 5101 or MATH 5651)

STAT 5201 - Sampling Methodology in Finite Populations

Credits:	3.0 [max 3.0]
Typically offered:	Every Spring

Simple random, systematic, stratified, unequal probability sampling. Ratio, model based estimation. Single stage, multistage, adaptive cluster sampling. Spatial sampling. prereq: 3022 or 3032 or 3301 or 4102 or 5021 or 5102 or instr consent

STAT 5302 - Applied Regression Analysis

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall, Spring & Summer

Simple, multiple, and polynomial regression. Estimation, testing, prediction. Use of graphics in regression. Stepwise and other numerical methods. Weighted least squares, nonlinear models, response surfaces. Experimental research/applications. prereq: 3032 or 3022 or 4102 or 5021 or 5102 or instr consent Please note this course generally does not count in the Statistical Practice BA or Statistical Science BS degrees. Please consult with a department advisor with questions.

STAT 5303 - Designing Experiments

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall, Spring & Summer

Analysis of variance. Multiple comparisons. Variance-stabilizing transformations. Contrasts. Construction/analysis of complete/incomplete block designs. Fractional factorial designs. Confounding split plots. Response surface design. prereq: 3022 or 3032 or 3301 or 4102 or 5021 or 5102 or instr consent

STAT 5401 - Applied Multivariate Methods

Credits:	3.0 [max 3.0]
Typically offered:	Periodic Fall

Bivariate and multivariate distributions. Multivariate normal distributions. Analysis of multivariate linear models. Repeated measures, growth curve, and profile analysis. Canonical correlation analysis. Principal components and factor analysis. Discrimination, classification, and clustering. pre-req: STAT 3032 or 3301 or 3022 or 4102 or 5021 or 5102 or instr consent Although not a formal prerequisite of this course, students are encouraged to have familiarity with linear algebra prior to enrolling. Please consult with a department advisor with questions.

STAT 5421 - Analysis of Categorical Data

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall & Spring

Varieties of categorical data, cross-classifications, contingency tables. Tests for independence. Combining 2x2 tables. Multidimensional tables/loglinear models. Maximum-likelihood estimation. Tests for goodness of fit. Logistic regression. Generalized linear/multinomial-response models. prereq: STAT 3022 or 3032 or 3301 or 5302 or 4051 or 8051 or 5102 or 4102

STAT 5511 - Time Series Analysis

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Characteristics of time series. Stationarity. Second-order descriptions, time-domain representation, ARIMA/GARCH models. Frequency domain representation. Univariate/multivariate time series analysis. Periodograms, non parametric spectral estimation. State-space models. prereq: STAT 4102 or STAT 5102

STAT 5601 - Nonparametric Methods

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall & Spring

Order statistics. Classical rank-based procedures (e.g., Wilcoxon, Kruskal-Wallis). Goodness of fit. Topics may include smoothing, bootstrap, and generalized linear models. prereq: Stat classes 3032 or 3022 or 4102 or 5021 or 5102 or instr consent

VBS 2032 - General Microbiology With Laboratory

Credits:	5.0 [max 5.0]
Course Equivalencies:	Biol 2032/MicB 3301/VBS 2032
Grading Basis:	A-F only
Typically offered:	Every Fall & Spring

Bacterial metabolism, growth/genetics, biology of viruses/fungi. Control of microorganisms. Host-microbe interactions, microorganisms/disease, applied microbiology. prereq: One semester each of college chemistry, biology

AST 4041 - Computational Methods in the Physical Sciences

Credits:	4.0 [max 4.0]
Course Equivalencies:	Ast 4041/Phys 4041
Typically offered:	Periodic Fall & Spring

Introduction to using computer programs to solve problems in physical sciences. Selected numerical methods, mapping problems onto computational algorithms. Arranged lab. Prereq: PHYS 3041

PHYS 4041 - Computational Methods in the Physical Sciences

Credits:	4.0 [max 4.0]
Course Equivalencies:	Ast 4041/Phys 4041
Typically offered:	Periodic Fall & Spring

Introduction to using computer programs to solve problems in physical sciences. Selected numerical methods, mapping problems onto computational algorithms. Arranged lab. Prereq: PHYS 3041

AST 5022 - Relativity, Cosmology, and the Universe

Credits:	4.0 [max 4.0]
Course Equivalencies:	Ast 5022/Phys 5022
Typically offered:	Periodic Fall & Spring

Large-scale structure/history of universe. Introduction to Newtonian/relativistic world models. Physics of early universe, cosmological tests, formation of galaxies. prereq: [2001, Phys 2601] or instr consent

PHYS 5022 - Relativity, Cosmology, and the Universe

Credits:	4.0 [max 4.0]
Course Equivalencies:	Ast 5022/Phys 5022
Typically offered:	Periodic Fall

Large-scale structure and history of universe. Introduction to Newtonian and relativistic world models. Physics of early universe. Cosmological tests. Formation of galaxies. prereq: 2601 or instr consent

BIOC 3021 - Biochemistry

Credits:	3.0 [max 3.0]
Course Equivalencies:	BioC 3021/BioC 3022/BioC 4331/
Typically offered:	Every Fall, Spring & Summer

Fundamentals of biochemistry. Structure/function of nucleic acids, proteins, lipids, carbohydrates. Enzymes. Metabolism. DNA replication and repair, transcription, protein synthesis. Recommended prerequisites: Introductory biology (BIOL 1009 or BIOL 2003 or equivalent), organic chemistry (CHEM 2301 or CHEM 2081/2085 or equivalent). Note: CBS students should take BIOC 3022 not 3021.

BIOC 3022 - Biochemistry for Life Scientists

Credits:	3.0 [max 6.0]
Course Equivalencies:	BioC 3021/BioC 3022/BioC 4331/
Typically offered:	Every Fall & Spring

This course provides an introduction to biochemistry including discussion of the structure and functions of biomolecules (proteins, carbohydrates, lipids, and nucleic acids), central metabolic pathways, and the mechanisms of enzyme action. This course is intended for students in the College of Biological Sciences. Students from other colleges should register for BIOC 3021. prereq: CHEM 2301 or CHEM 2081/2085 or equivalent

BIOC 5444 - Muscle

Credits:	3.0 [max 3.0]
Course Equivalencies:	BioC 5444/ Phsl 5444
Typically offered:	Every Spring

Muscle molecular structure/function and disease. Muscle regulation, ion transport, and force generation. Muscular dystrophy and heart disease. prereq: 3021 or BIOL 3021 or 4331 or BIOL 4331 or PHSL 3061 or instr consent

PHSL 5444 - Muscle

Credits:	3.0 [max 3.0]
Course Equivalencies:	BioC 5444/ Phsl 5444
Typically offered:	Every Spring

Muscle molecular structure/function and disease. Muscle regulation, ion transport, and force generation. Muscular dystrophy and heart disease. prereq: PHSL 3061 or PHSL 5061 or BioC 3021, BIOL 3021 or BIOL 4331 or instr consent

BIOL 4004 - Cell Biology

Credits:	3.0 [max 3.0]
Course Equivalencies:	Biol 4004/GCD 3033/4005W
Typically offered:	Every Fall, Spring & Summer

Processes fundamental to cells. Emphasizes eukaryotic cells. Assembly/function of membranes/organelles. Cell division, cell form/movement, intercellular communication, transport, secretion pathways. Cancer cells, differentiated cells. prereq: Completion of Biol 4003 is preferred, Biol2003/2003H or Biol4003 or grad

GCD 4005W - Cell Biology-Writing Intensive (WI)

Credits:	4.0 [max 4.0]
Course Equivalencies:	Biol 4004/GCD 3033/4005W
Grading Basis:	A-F only
Typically offered:	Every Spring

Processes fundamental to cells. Emphasizes eukaryotic cells. Assembly/function of membranes/organelles. Cell division, cell form/movement, intercellular communication, transport, secretion pathways. Cancer cells, differentiated cells. prereq: GCD major, Biol2003/2003H or Biol4003 or grad

BMEN 5311 - Advanced Biomedical Transport Processes

Credits:	3.0 [max 3.0]
Course Equivalencies:	BMEn 5311/ChEn 5753/ME 5381
Typically offered:	Every Spring

Fluid flow and mass transfer in the body, bioreactors, and medical devices. Pulsatile flows. Flows around curved and deformable vessels. Boundary layer flows. Blood rheology. Interstitial (porous media) flows. Oxygenation. Cell migration. Student critiques of published papers.

CHEN 5753 - Advanced Biomedical Transport Processes

Credits:	3.0 [max 3.0]
Course Equivalencies:	BMEn 5311/ChEn 5753/ME 5381
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Fluid, mass, heat transport in biological systems. Mass transfer across membranes, fluid flow in capillaries, interstitium, veins, and arteries Heat transfer in single cells/tissues. Whole organ, body heat transfer issues. Blood flow, oxygenation. Heat/mass transfer in respiratory systems. Biotransport issues in artificial organs, membrane oxygenators, drug delivery applications. prereq: 3005 or 4005 or equiv

CHEN 5771 - Colloids and Dispersions

Credits:	3.0 [max 3.0]
Course Equivalencies:	ChEn 5771/MatS 5771
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Preparation, stability, coagulation kinetics or colloidal solutions. DLVO theory, electrokinetic phenomena. Properties of micelles, other microstructures. prereq: Physical chemistry

MATS 5771 - Colloids and Dispersions

Credits:	3.0 [max 3.0]
Course Equivalencies:	inactive
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Preparation, stability, coagulation kinetics, or colloidal solutions. DLVO theory, electrokinetic phenomena. Properties of micelles, other microstructures. prereq: Physical chemistry

EE 4623 - Introduction to Modern Optics

Credits:	3.0 [max 3.0]
Course Equivalencies:	EE 4623/Phys 4623
Typically offered:	Every Fall

Modern optics broadly defined as geometrical, physical, and quantum optics, including interference and diffraction, optical polarization, Fourier optics, cavity optics, optical propagation, optical coherence, lasers, optical detection, and optical instruments. prereq: [Phys 2503 or Phys 2303] and [Math 2374 or MATH 2263 or MATH 2573H]; instr consent.

PHYS 4623 - Introduction to Modern Optics

Credits:	3.0 [max 3.0]
Course Equivalencies:	EE 4623/Phys 4623
Typically offered:	Every Fall

Modern optics broadly defined as geometrical, physical, and quantum optics, including interference and diffraction, optical polarization, Fourier optics, cavity optics, optical propagation, optical coherence, lasers, optical detection, and optical instruments.

HSCI 4121W - History of 20th-Century Physics (WI)

Credits:	3.0 [max 3.0]
Course Equivalencies:	HSci 4121/Phys 4121
Grading Basis:	OPT No Aud
Typically offered:	Periodic Spring

The transition from classical to modern physics (relativity, quantum) and its architects (from Planck and Einstein to Heisenberg and Schr�dinger). The WWII bomb projects in the US and in Germany. Post-war developments (solid state, particle physics). Prereq: calculus or permission from the instructor.

PHYS 4121W - History of 20th-Century Physics (WI)

Credits:	3.0 [max 3.0]
Course Equivalencies:	HSci 4121/Phys 4121
Grading Basis:	OPT No Aud
Typically offered:	Periodic Spring

The transition from classical to modern physics (relativity, quantum) and its architects (from Planck and Einstein to Heisenberg and Schr�dinger). The WWII bomb projects in the US and in Germany. Post-war developments (solid state, particle physics). Prereq: calculus or permission from the instructor.

MATH 4152 - Elementary Mathematical Logic

Credits:	3.0 [max 3.0]
Course Equivalencies:	Math 4152/5165
Typically offered:	Every Spring

Propositional logic. Predicate logic: notion of a first order language, a deductive system for first order logic, first order structures, Godel's completeness theorem, axiom systems, models of formal theories. prereq: one soph math course or instr consent

MATH 5165 - Mathematical Logic I

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 4152/5165
Typically offered:	Every Fall

Theory of computability: notion of algorithm, Turing machines, primitive recursive functions, recursive functions, Kleene normal form, recursion theorem. Propositional logic. prereq: 2283 or 3283 or Phil 5201 or CSci course in theory of algorithms or instr consent

MATH 5651 - Basic Theory of Probability and Statistics

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 5651/Stat 5101
Typically offered:	Every Fall & Spring

Logical development of probability, basic issues in statistics. Probability spaces, random variables, their distributions/expected values. Law of large numbers, central limit theorem, generating functions, sampling, sufficiency, estimation. prereq: [2263 or 2374 or 2573], [2243 or 2373]; [2283 or 2574 or 3283] recommended.

STAT 5101 - Theory of Statistics I

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall

Logical development of probability, basic issues in statistics. Probability spaces. Random variables, their distributions and expected values. Law of large numbers, central limit theorem, generating functions, multivariate normal distribution. prereq: (MATH 2263 or MATH 2374 or MATH 2573H), (MATH 2142 or CSCI 2033 or MATH 2373 or MATH 2243)

BBE 4023W - Process Control and Instrumentation (WI)

Credits:	3.0 [max 3.0]
Course Equivalencies:	BBE 4023/BBE 5023/CEGE 4416/CE
Grading Basis:	A-F or Aud
Typically offered:	Every Fall

Measurement of motion, force, pressure, flow, temperature, size, shape, color, texture, rheology, moisture, water mobility, fat, and pH. Linking physical and biological control systems. prereq: Upper div CSE or grad student

CHEM 4094W - Directed Research (WI)

Credits:	1.0 -5.0 [max 30.0]
Typically offered:	Every Fall, Spring & Summer

Learning experience in areas not covered by regular courses. Individually arranged with faculty member. prereq: Any 3xxx or 4xxx chem course, instr consent

CHEM 4111W - Modern Instrumental Methods of Chemical Analysis Lab (WI)

Credits:	2.0 [max 2.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Instrumental techniques, including spectroscopic methods, electrochemical methods, and analysis based on separation. Use of computers in data collection and reduction. prereq: 4101 or concurrent registration is required (or allowed)

CHEM 4223W - Polymer Laboratory (WI)

Credits:	2.0 [max 2.0]
Course Equivalencies:	Chem 4223W/ChEn 4223/MatS4223W
Typically offered:	Every Spring

Synthesis, characterization, and physical properties of polymers. Free radical, condensation, emulsion, anionic polymerization. Infrared spectroscopy/gel permeation chromatography. Viscoelasticity, rubber elasticity, crystallization. prereq: CHEM 4221 coreq CHEM 4214 or CHEN 4214 or MATS 4214 or instr consent

CHEM 4311W - Advanced Organic Chemistry Lab (WI)

Credits:	4.0 [max 4.0]
Typically offered:	Every Fall & Spring

Reactions, techniques, and instrumental methods in synthetic organic chemistry. prereq: 2311

CHEM 4423W - Foundations of Chemical Biology Laboratory (WI)

Credits:	2.0 [max 2.0]
Typically offered:	Every Fall & Spring

Experimental techniques from all areas of chemistry applied to biological problems. Experiments to highlight techniques and concepts used in modern Chemical Biology research. Emphasis on connections between classroom/laboratory learning and experimental science, health, disease, and medical research. While biochemistry courses are allowed as a prerequisite, completion of or concurrent enrollment in Chem 4411, Introduction to Chemical Biology, will provide students with the best preparation for this lab course. prereq: Chem 2311 or 2312H or 2085 (prereq); and Chem 4411 or BioC 4331 or BioC 3021 (concurrent allowed)

CHEM 4511W - Advanced Physical Chemistry Lab (WI)

Credits:	3.0 [max 3.0]
Typically offered:	Every Fall

Experiments illustrating principles and methods of thermodynamics, reaction kinetics, and quantum mechanics. prereq: 4502, chemistry major

CHEM 4711W - Advanced Inorganic Chemistry Lab (WI)

Credits:	3.0 [max 3.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Lab experiments in inorganic/organometallic chemistry illustrating synthetic/spectroscopic techniques. prereq: 4701, chem major

CHEN 4501W - Chemical Engineering Design (WI)

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Spring

Engineering economics of process evaluation, including time/bases for cost estimation. Engineering design through group projects. Case studies. prereq: CHEN 3401W, ChEn 3102, ChEn 3006 (or &3006), Chem 2301

GCD 4005W - Cell Biology-Writing Intensive (WI)

Credits:	4.0 [max 4.0]
Course Equivalencies:	Biol 4004/GCD 3033/4005W
Grading Basis:	A-F only
Typically offered:	Every Spring

Processes fundamental to cells. Emphasizes eukaryotic cells. Assembly/function of membranes/organelles. Cell division, cell form/movement, intercellular communication, transport, secretion pathways. Cancer cells, differentiated cells. prereq: GCD major, Biol2003/2003H or Biol4003 or grad

HSCI 4121W - History of 20th-Century Physics (WI)

Credits:	3.0 [max 3.0]
Course Equivalencies:	HSci 4121/Phys 4121
Grading Basis:	OPT No Aud
Typically offered:	Periodic Spring

The transition from classical to modern physics (relativity, quantum) and its architects (from Planck and Einstein to Heisenberg and Schr�dinger). The WWII bomb projects in the US and in Germany. Post-war developments (solid state, particle physics). Prereq: calculus or permission from the instructor.

MATH 3283W - Sequences, Series, and Foundations: Writing Intensive (WI)

Credits:	4.0 [max 4.0]
Course Equivalencies:	Math 2283/3283W
Typically offered:	Every Fall & Spring

Introduction to reasoning used in advanced mathematics courses. Logic, mathematical induction, real number system, general/monotone/recursively defined sequences, convergence of infinite series/sequences, Taylor's series, power series with applications to differential equations, Newton's method. Writing-intensive component. prereq: [concurrent registration is required (or allowed) in 2243 or concurrent registration is required (or allowed) in 2263 or concurrent registration is required (or allowed) in 2373 or concurrent registration is required (or allowed) in 2374] w/grade of at least C-

MATH 4067W - Actuarial Mathematics in Practice (WI)

Credits:	3.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Every Spring

Real world actuarial problems that require integration of mathematical skills with knowledge from other disciplines such as economics, statistics, and finance. Communication and interpersonal skills are enhanced by teamwork/presentations to the practitioner actuaries who co-instruct. prereq: 4065, ACCT 2050, ECON 1101, ECON 1102

MATS 3851W - Materials Properties Lab (WI)

Credits:	4.0 [max 4.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Characterization of properties of engineering materials. Mechanical, electrical, optical, magnetic, and thermal properties. Relationship between properties and materials structure. Specimen preparation. Data collection and analysis, including statistical analysis. Laboratory notebook and report writing. prereq: [3801, 3013, MatS upper div] or dept consent

MATS 4301W - Materials Processing (WI)

Credits:	4.0 [max 4.0]
Grading Basis:	A-F only
Typically offered:	Every Spring

Casting, solidification and plastic forming of metals. Powder processing, forming operations, sintering of ceramics. Processing of thermoplastic/thermoset polymers. Computer applications of data collection/reduction. prereq: 4212, [4214 or concurrent registration is required (or allowed) in 4214] Upper Div MatS

PHYS 3605W - Modern Physics Laboratory (WI)

Credits:	3.0 [max 3.0]
Course Equivalencies:	Phys 2605/Phys 3605W
Typically offered:	Every Fall & Spring

Laboratory experiments in atomic, solid state, and nuclear physics. Introduction to data analysis techniques as well as the communication of scientific results through maintaining a logbook and writing papers. Prerequisites: completion (or concurrent registration) in PHYS 2503 or 2503H.

PHYS 4052W - Methods of Experimental Physics II (WI)

Credits:	5.0 [max 5.0]
Typically offered:	Every Spring

Second semester of laboratory sequence. Contemporary experimental techniques illustrated by experiments with data analysis. Students design and execute an experimental project. Lectures on specialized topics of professional concern. prereq: PHYS 4051

PHYS 4121W - History of 20th-Century Physics (WI)

Credits:	3.0 [max 3.0]
Course Equivalencies:	HSci 4121/Phys 4121
Grading Basis:	OPT No Aud
Typically offered:	Periodic Spring

The transition from classical to modern physics (relativity, quantum) and its architects (from Planck and Einstein to Heisenberg and Schr�dinger). The WWII bomb projects in the US and in Germany. Post-war developments (solid state, particle physics). Prereq: calculus or permission from the instructor.

University Catalogs

Chemistry B.A.