Twin Cities campus
 
Twin Cities Campus

Chemical Engineering M.S.Ch.E.

Chemical Engineering & Materials Science
College of Science and Engineering
Link to a list of faculty for this program.
Contact Information
Department of Chemical Engineering and Materials Science, University of Minnesota, 151 Amundson Hall, 421 Washington Ave SE, Minneapolis, MN 55455 (612-625-0382; fax: 612-626-7246)
  • Program Type: Master's
  • Requirements for this program are current for Fall 2017
  • Length of program in credits: 30
  • This program requires summer semesters for timely completion.
  • Degree: Master of Science in Chemical Engineering
Along with the program-specific requirements listed below, please read the General Information section of this website for requirements that apply to all major fields.
The CEMS Department offers two types of master's degrees: the MSChE (Plan A or C) and the MChE degree, also known as the professional master's. The MSChE Plan A degree is a thesis-based master's and is generally reserved only for current graduate students who choose not to seek a PhD Working professionals who are interested in obtaining a master's degree part time should follow the requirements for the MChE degree, which requires a design project, or the MSChE Plan C, which is coursework only. Research activities in CEMS focus on the development of renewable energy technologies, the solution of important medical and biological engineering challenges, the development of advanced materials, and the application of sophisticated mathematical and theoretical models. Graduate courses offered cover core areas of chemical engineering (fluid mechanics, applied mathematics: linear and nonlinear analysis, transport, chemical thermodynamics, statistical thermodynamics and kinetics, and analysis of chemical reactors) and core areas of materials science (structure and symmetry of materials, thermodynamics and kinetics, electronic properties of materials, and mechanical properties of materials). In addition, several specialized topics are offered, including biochemical engineering, biological transport processes, food processing technology, colloids, principles of mass transfer in engineering and biological engineering, rheology, coating process fundamentals, process control, finite elements methods of computer-aided analysis, ceramics, polymers, materials design and performance, materials processing, corrosion, introduction to polymer chemistry, polymer laboratory, contact and fracture properties of materials, electron microscopy, thin films and interfaces, composites, electrochemical engineering, physical chemistry of polymers, solid state reaction kinetics, electronic structure of materials, electronic properties and applications of organic materials, electronic ceramics, dislocations and interfaces, epitaxial thin film growth, and science of porous media.
Program Delivery
  • via classroom (the majority of instruction is face-to-face)
Prerequisites for Admission
A bachelor's degree in chemical engineering or other related field.
Other requirements to be completed before admission:
With the exception of the professional master's degree (the MChE) and the MSChE Plan C, the CEMS Department focuses on the PhD and does not generally admit students directly to the MSChE Plan A degree.
Special Application Requirements:
Applicants must submit scores from the General Test of the GRE; three letters of recommendation from persons familiar with their scholarship and research potential; a complete set of official transcripts; and a clearly written statement of career interests, goals, and objectives. International students are required to provide TOEFL results. Applications are accepted for fall semester only. December 15 is the application deadline; late applications are considered if space is available. More information is available at http://www.cems.umn.edu/graduate/admissions
Applicants must submit their test score(s) from the following:
  • GRE
International applicants must submit score(s) from one of the following tests:
  • TOEFL
    • Internet Based - Total Score: 79
    • Internet Based - Writing Score: 21
    • Internet Based - Reading Score: 19
    • Paper Based - Total Score: 560
  • IELTS
    • Total Score: 6.5
  • MELAB
    • Final score: 80
Key to test abbreviations (GRE, TOEFL, IELTS, MELAB).
For an online application or for more information about graduate education admissions, see the General Information section of this website.
Program Requirements
Plan A: Plan A requires 12 to 14 major credits, 6 to 8 credits outside the major, and 10 thesis credits. The final exam is written and oral.
Plan C: Plan C requires 12 to 18 major credits and 12 to 18 credits outside the major. There is no final exam.
This program may be completed with a minor.
Use of 4xxx courses toward program requirements is permitted under certain conditions with adviser approval.
A minimum GPA of 2.80 is required for students to remain in good standing.
Core Courses
Take 4 or more course(s) from the following:
· CHEN 8101 - Fluid Mechanics I: Change, Deformation, Equations of Flow (3.0 cr)
· CHEN 8201 - Applied Mathematics I: Linear Analysis (3.0 cr)
· CHEN 8301 - Physical Rate Processes I: Transport (3.0 cr)
· CHEN 8401 - Physical and Chemical Thermodynamics (3.0 cr)
· CHEN 8402 - Statistical Thermodynamics and Kinetics (3.0 cr)
· CHEN 8501 - Chemical Rate Processes: Analysis of Chemical Reactors (3.0 cr)
Plan A
Plan A requires 12 credits in the major, 6 credits outside the major, and 10 thesis credits. The remaining course credits may be taken in the major or in any supporting field.
CHEN 8777 - Thesis Credits: Master's (1.0-18.0 cr)
Plan C
Plan C requires 12 credits in the major and a minimum of 12 credits outside the major. The remaining 6 credits may be taken in the major or in any supporting field.
Electives
The remaining credits may be chosen from the following list or consult with advisor for further options.
CHEN 4214 - Polymers (3.0 cr)
CHEN 5551 - Survey of Renewable Energy Technologies (3.0 cr)
CHEN 5751 - Biochemical Engineering (3.0 cr)
CHEN 5753 - Advanced Biomedical Transport Processes (3.0 cr)
CHEN 8102 - Principles and Applications of Rheology (2.0 cr)
CHEN 8104 - Coating Process Fundamentals (2.0 cr)
CHEN 8221 - Synthetic Polymer Chemistry (4.0 cr)
CHEN 8754 - Systems Analysis of Biological Processes (3.0 cr)
AEM 5321 - Modern Feedback Control (3.0 cr)
AEM 5501 - Continuum Mechanics (3.0 cr)
AEM 5503 - Theory of Elasticity (3.0 cr)
AEM 8201 - Fluid Mechanics I (3.0 cr)
AEM 8202 - Fluid Mechanics II (3.0 cr)
AEM 8203 - Fluid Mechanics III (3.0 cr)
AEM 8251 - Finite-Volume Methods in Computational Fluid Dynamics (3.0 cr)
AEM 8421 - Robust Multivariable Control Design (3.0 cr)
AEM 8541 - Mechanics of Crystalline Solids (3.0 cr)
BIOC 4332 - Biochemistry II: Molecular Mechanisms of Signal Transduction and Gene Expression (4.0 cr)
BIOC 5528 - Spectroscopy and Kinetics (4.0 cr)
BIOC 6021 - Biochemistry (3.0 cr)
BIOC 8002 - Molecular Biology and Regulation of Biological Processes (3.0 cr)
BMEN 5001 - Advanced Biomaterials (3.0 cr)
BMEN 5201 - Advanced Biomechanics (3.0 cr)
BMEN 5311 - Advanced Biomedical Transport Processes (3.0 cr)
BMEN 5351 - Cell Engineering (3.0 cr)
BMEN 5501 - Biology for Biomedical Engineers (3.0 cr)
BMEN 8511 - Systems and Synthetic Biology (3.0 cr)
CHEM 5210 - Materials Characterization (4.0 cr)
CHEM 8011 - Mechanisms of Chemical Reactions (4.0 cr)
CHEM 8021 - Computational Chemistry (4.0 cr)
CHEM 8151 - Analytical Separations and Chemical Equilibria (4.0 cr)
CHEM 8152 - Analytical Spectroscopy (4.0 cr)
CHEM 8201 - Materials Chemistry (4.0 cr)
CHEM 8211 - Physical Polymer Chemistry (4.0 cr)
CHEM 8221 - Synthetic Polymer Chemistry (4.0 cr)
CHEM 8361 - Interpretation of Organic Spectra (4.0 cr)
CHEM 8551 - Quantum Mechanics I (4.0 cr)
CHEM 8561 - Thermodynamics, Statistical Mechanics, and Reaction Dynamics I (4.0 cr)
CHEM 8562 - Thermodynamics, Statistical Mechanics, and Reaction Dynamics II (4.0 cr)
CEGE 8022 - Numerical Methods for Free and Moving Boundary Problems (3.0 cr)
CEGE 8401 - Fundamentals of Finite Element Method (3.0 cr)
CEGE 8402 - Nonlinear Finite Element Analysis (3.0 cr)
CEGE 8501 - Environmental Fluid Mechanics I (4.0 cr)
CEGE 8502 - Environmental Fluid Mechanics II (4.0 cr)
CEGE 8504 - Theory of Unit Operations (4.0 cr)
CEGE 8505 - Biological Processes (3.0 cr)
CSCI 5302 - Analysis of Numerical Algorithms (3.0 cr)
CSCI 5304 - Computational Aspects of Matrix Theory (3.0 cr)
CSCI 8363 - Numerical Linear Algebra in Data Exploration (3.0 cr)
EE 5163 - Semiconductor Properties and Devices I (3.0 cr)
EE 5164 - Semiconductor Properties and Devices II (3.0 cr)
EE 5181 - Micro and Nanotechnology by Self Assembly (3.0 cr)
EE 5231 - Linear Systems and Optimal Control (3.0 cr)
EE 5239 - Introduction to Nonlinear Optimization (3.0 cr)
EE 5657 - Physical Principles of Thin Film Technology (4.0 cr)
EE 8161 - Physics of Semiconductors (3.0 cr)
GCD 4034 - Molecular Genetics and Genomics (3.0 cr)
GCD 8151 - Cellular Biochemistry and Cell Biology (3.0 cr)
GCD 8161 - Advanced Developmental Biology (3.0 cr)
MATS 4212 - Ceramics (3.0 cr)
MATS 4214 - Polymers (3.0 cr)
MATS 4223W - Polymer Laboratory [WI] (2.0 cr)
MATS 5517 - Electron Microscopy (3.0 cr)
MATS 8001 - Structure and Symmetry of Materials (3.0 cr)
MATS 8002 - Thermodynamics and Kinetics (3.0 cr)
MATS 8003 - Electronic Properties (3.0 cr)
MATS 8004 - Mechanical Properties (3.0 cr)
MATS 8211 - Physical Chemistry of Polymers (4.0 cr)
MATS 8221 - Synthetic Polymer Chemistry (4.0 cr)
MATH 4428 - Mathematical Modeling (4.0 cr)
MATH 4512 - Differential Equations with Applications (3.0 cr)
MATH 5485 - Introduction to Numerical Methods I (4.0 cr)
MATH 5486 - Introduction To Numerical Methods II (4.0 cr)
MATH 5525 - Introduction to Ordinary Differential Equations (4.0 cr)
MATH 5535 - Dynamical Systems and Chaos (4.0 cr)
MATH 5587 - Elementary Partial Differential Equations I (4.0 cr)
MATH 5588 - Elementary Partial Differential Equations II (4.0 cr)
MATH 5651 - Basic Theory of Probability and Statistics (4.0 cr)
MATH 5652 - Introduction to Stochastic Processes (4.0 cr)
MATH 8441 - Numerical Analysis and Scientific Computing (3.0 cr)
MATH 8442 - Numerical Analysis and Scientific Computing (3.0 cr)
ME 5113 - Aerosol/Particle Engineering (4.0 cr)
ME 5446 - Introduction to Combustion (4.0 cr)
ME 8341 - Conduction (3.0 cr)
ME 8390 - Advanced Topics in the Thermal Sciences (1.0-3.0 cr)
MICA 8002 - Structure, Function, and Genetics of Bacteria and Viruses (4.0 cr)
PA 5011 - Management of Organizations (3.0 cr)
PA 5012 - The Politics of Public Affairs (3.0 cr)
PA 5021 - Economics For Policy Analysis and Planning I (3.0 cr)
PA 5701 - Science and State (3.0 cr)
PA 5711 - Science, Technology & Environmental Policy (3.0 cr)
PA 5721 - Energy and Environmental Policy (3.0 cr)
PA 5722 - Economics of Natural Resource and Environmental Policy (3.0 cr)
PA 5801 - Global Public Policy (3.0 cr)
STAT 5021 - Statistical Analysis (4.0 cr)
Special Topics Electives
The following electives are topics courses. Only the approved topic titles below may be used.
AEM 8511 Advanced Topics in Continuum Mechanics - Problems in Materials Science
CEGE 5180 Special Topics - Membrane Science and Technology
EE 5940 Special Topics - Infrared Technology and Environmental Sensing
Math 8450 Topics in Numerical Analysis - Applications of Continuum Mechanics in Biology
Mats 8995 Special Topics - Scattering from Soft Materials
 
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CHEN 8101 - Fluid Mechanics I: Change, Deformation, Equations of Flow
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Equations of change of mass, momentum, angular momentum. Kinematics of deformation, convective transport. Applications to fluid statics/dynamics of Newtonian fluids. Examples of exact solutions of Navier-Stokes equations, useful simplifications. prereq: Chemical engineering grad student or instr consent
CHEN 8201 - Applied Mathematics I: Linear Analysis
Credits: 3.0 [max 3.0]
Course Equivalencies: ChEn 4701/8201
Grading Basis: A-F or Aud
Typically offered: Every Fall
Integrated approach to solving linear mathematical problems. Linear algebraic equations. Linear ordinary and partial differential equations using theoretical/numerical analysis based on linear operator theory. prereq: Chemical engineering grad student or instr consent
CHEN 8301 - Physical Rate Processes I: Transport
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall & Spring
Survey of mass transfer, dilute, and concentrated diffusion. Brownian motion. Diffusion coefficients in polymers, of electrolytes, and at critical points. Multicomponent diffusion. Mass transfer correlations/predictions. Mass transfer coupled with chemical reaction.
CHEN 8401 - Physical and Chemical Thermodynamics
Credits: 3.0 [max 3.0]
Course Equivalencies: 00488 - ChEn 4706/8401
Grading Basis: A-F or Aud
Typically offered: Every Fall
Principles of thermodynamics with emphasis on solving problems encountered in chemical engineering and materials science. An organized exposition of fundamental concepts that will help students understand and analyze the systems they are likely to encounter while conducting original research. This course is for students who seek a much deeper understanding than a typical undergraduate course provides. prereq: Undergraduate engineering course or chemistry course in thermodynamics, Chemical Engineering graduate student, or instructor consent.
CHEN 8402 - Statistical Thermodynamics and Kinetics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Introduction to statistical mechanical description of equilibrium and non-equilibrium properties of matter. Emphasizes fluids, classical statistical mechanics. prereq: Chemical engineering grad student or instr consent
CHEN 8501 - Chemical Rate Processes: Analysis of Chemical Reactors
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Design of reactors for heat management and with catalytic processes. Steady state and transient behavior. Polymerization, combustion, solids processing, and environmental modeling. Design of multiphase reactors. prereq: [Course in chemical reactor engineering, chemical engineering grad student] or instr consent
CHEN 8777 - Thesis Credits: Master's
Credits: 1.0 -18.0 [max 50.0]
Grading Basis: No Grade
Typically offered: Every Fall, Spring & Summer
(No description) prereq: Max 18 cr per semester or summer; 10 cr total required [Plan A only]
CHEN 4214 - Polymers
Credits: 3.0 [max 3.0]
Course Equivalencies: 01578 - 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
CHEN 5551 - Survey of Renewable Energy Technologies
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Technologies to generate renewable energy/chemicals. Biomass, solar, wind, hydroelectric. Emphasizes biomass processing using chemical/biological methods. Renewable technologies compared with fossil fuel technologies. prereq: [Upper div or instr consent], basic knowledge of chemistry, thermodynamics
CHEN 5751 - Biochemical Engineering
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
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]
CHEN 5753 - Advanced Biomedical Transport Processes
Credits: 3.0 [max 3.0]
Course Equivalencies: 00490
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 8102 - Principles and Applications of Rheology
Credits: 2.0 [max 2.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Spring
Deformation and flow of non-Newtonian and viscoelastic fluids, plastic materials, and perfectly elastic solids. Phenomenological and molecular interpretation of rheology of elastomers, polymer melts and polymer solutions, application of rheology to polymer processing. prereq: 8101
CHEN 8104 - Coating Process Fundamentals
Credits: 2.0 [max 2.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring & Summer
Process functions. Viscous flow and rheology of polymer solutions and particulate suspensions. Capillarity, wetting. Electrostatic effects. Phase change, colloidal transformations, mass/heat transfer in drying. Kinetics in curing. Stress and property development in solidifying polymeric coatings. Illustrations drawn from theoretical modeling, flow visualization, and stopped-process microscopy. prereq: Chemical engineering grad major or instr consent
CHEN 8221 - Synthetic Polymer Chemistry
Credits: 4.0 [max 4.0]
Course Equivalencies: 00295 - ChEn 8221/MatS 8221/Chem 8221
Grading Basis: A-F or Aud
Typically offered: Every Fall
Condensation, radical, ionic, emulsion, ring-opening, metal-catalyzed polymerizations. Chain conformation, solution thermodynamics, molecular weight characterization, physical properties. prereq: [Undergrad organic chemistry course, undergrad physical chemistry course] or instr consent
CHEN 8754 - Systems Analysis of Biological Processes
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Relating biological processes at molecular level to physiological level of cells/organisms/populations. Methodology for analyzing data. Quantification of molecular interplays. prereq: Grad student in [life sciences or chemical/physical sciences or engineering]; ChEn students must take A/F
AEM 5321 - Modern Feedback Control
Credits: 3.0 [max 3.0]
Course Equivalencies: 01565
Typically offered: Every Fall
State space theory for multiple-input-multiple-output aerospace systems. Singular value decomposition technique, applications to performance/robustness. Linear quadratic gaussian and eigenstructure assignment design methods. Topics in H[infinity symbol]. Applications. prereq: 4321 or EE 4231 or ME 5281 or equiv
AEM 5501 - Continuum Mechanics
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Concepts common to all continuous media; elements of tensor analysis; motion, deformation, vorticity; material derivatives; mass, continuity equation; balance of linear, angular momentum; geometric characterization of stress; constitutive equations. prereq: CSE upper div or grad, 3031, Math 2243 or equiv or instr consent
AEM 5503 - Theory of Elasticity
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Introduction to the theory of elasticity, with emphasis on linear elasticity. Linear and nonlinear strain measures, boundary-value problem for linear elasticity, plane problems in linear elasticity, three dimensional problems in linear elasticity. Topics from nonlinear elasticity, micromechanics, contact problems, fracture mechanics. prereq: 4501 or equiv, Math 2263 or equiv or instr consent
AEM 8201 - Fluid Mechanics I
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Mathematical and physical principles governing the motion of fluids. Kinematic, dynamic, and thermodynamic properties of fluids; stress and deformation; equations of motion; analysis of rotational and irrotational inviscid incompressible flow; two-dimensional and three-dimensional potential flow. prereq: 4201 or equiv, Math 2263 or equiv
AEM 8202 - Fluid Mechanics II
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Analysis of incompressible viscous flow; creeping flows; boundary layer flow. prereq: 8201
AEM 8203 - Fluid Mechanics III
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Analysis of compressible flow and shock waves; method of characteristics for one-dimensional unsteady flow and for two-dimensional steady flow. prereq: 8202
AEM 8251 - Finite-Volume Methods in Computational Fluid Dynamics
Credits: 3.0 [max 3.0]
Typically offered: Periodic Spring
Development of finite-volume computational methods for solution of compressible Navier-Stokes equations. Accuracy, consistency, and stability of numerical methods; high-resolution upwind shock-capturing schemes; treatment of boundary conditions; explicit and implicit formulations; considerations for high performance computers; recent developments and advanced topics. prereq: 4201 or 8201 or equiv, CSci 1107 or equiv
AEM 8421 - Robust Multivariable Control Design
Credits: 3.0 [max 3.0]
Typically offered: Periodic Spring
Application of robust control theory to aerospace systems. Role of model uncertainty/modeling errors in design process. Control analysis and synthesis, including H[sub2] and H[infinity symbol] optimal control design and structural singular value [Greek letter mu] techniques. prereq: 5321 or equiv
AEM 8541 - Mechanics of Crystalline Solids
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall
Atomic theory of crystals and origins of stress in crystals. Relation between atomic and continuum description; phase transformations and analysis of microstructure; effects of shear stress, pressure, temperature, electromagnetic fields, and composition on transformation temperatures and microstructure; interfacial energy in solids. prereq: 5501 or instr consent
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: 4331 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
BIOC 6021 - Biochemistry
Credits: 3.0 [max 3.0]
Course Equivalencies: 00467 - BioC 3021/6021/Biol 3021
Typically offered: Every Fall, Spring & Summer
Fundamentals of biochemistry. Structure/function of proteins, nucleic acids, lipids and carbohydrates. Metabolism, regulation of metabolism. Quantitative treatments of chemical equilibria, enzyme catalysis, and bioenergetics. Chemical basis of genetic information flow. prereq: general biology, organic chemistry, instr consent; intended for MBS students
BIOC 8002 - Molecular Biology and Regulation of Biological Processes
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Every Fall
Classical to current topics in molecular biology. Aspects of DNA, RNA, and protein biology. DNA replication, repair, and recombination. RNA transcription, editing, and regulation. Protein translation/modification. Technologies such as deep-sequencing micro-RNA and prions. prereq: [BMBB or MCDBG] grad student or instr consent
BMEN 5001 - Advanced Biomaterials
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Commonly used biomaterials. Chemical/physical aspects. Practical examples from such areas as cardiovascular/orthopedic applications, drug delivery, and cell encapsulation. Methods used for chemical analysis and for physical characterization of biomaterials. Effect of additives, stabilizers, processing conditions, and sterilization methods. prereq: 3301 or MatS 3011 or grad student or instr consent
BMEN 5201 - Advanced Biomechanics
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall & Spring
Introduction to biomechanics of musculoskeletal system. Anatomy, tissue material properties. Kinematics, dynamics, and control of joint/limb movement. Analysis of forces/motions within joints. Application to injury, disease. Treatment of specific joints, design of orthopedic devices/implants. prereq: [[3001 or equiv], [CSE upper div or grad student]] or instr consent
BMEN 5311 - Advanced Biomedical Transport Processes
Credits: 3.0 [max 3.0]
Course Equivalencies: 00490 - 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.
BMEN 5351 - Cell Engineering
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall & Spring
Engineering approaches to cell-related phenomena important to cell/tissue engineering. Receptor/ligand binding. Trafficking/signaling processes. Applications to cell proliferation, adhesion, and motility. Cell-matrix interactions. prereq: [2401, [2501 or concurrent registration is required (or allowed) in 5501], [MATH 2243 or MATH 2373]] or CSE upper div or grad student or instr consent
BMEN 5501 - Biology for Biomedical Engineers
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall & Spring
Concepts of cell/tissue structure/function. Basic principles of cell biology. Tissue engineering, artificial organs. prereq: Engineering upper div or grad student
BMEN 8511 - Systems and Synthetic Biology
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Systems/synthetic biology methods used to characterize/engineer biological systems at molecular/cellular scales. Integration of quantitative experimental approaches/mathematical modeling to elucidate biological design principles, create new molecular/cellular functions.
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 8011 - Mechanisms of Chemical Reactions
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Reaction mechanisms and methods of study. Mechanistic concepts in chemistry. Gas phase reactions to mechanisms, "electron pushing" mechanisms in organic reactions, mechanism of enzymatic reactions. Kinetic schemes and other strategies to investigate mechanisms. prereq: 2302 or equiv
CHEM 8021 - Computational Chemistry
Credits: 4.0 [max 4.0]
Typically offered: Every Spring
Modern theoretical methods used in study of molecular structure, bonding, reactivity. Concepts/practical applications. Determination of spectra, relationship to experimental techniques. Molecular mechanics. Critical assessment of reliability of methods. prereq: 4502 or equiv
CHEM 8151 - Analytical Separations and Chemical Equilibria
Credits: 4.0 [max 4.0]
Typically offered: Every Fall & Spring
Advanced treatment of principles of analytical chemistry, chemical equilibria, and dynamics. Chromotographic and other modern analytical scale separation techniques. Emphasizes column dynamics and retention mechanisms. prereq: instr consent
CHEM 8152 - Analytical Spectroscopy
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Survey of analytical spectroscopic methods. Design/application of spectroscopic instruments, including signal generation, acquisition, and interpretation. May include nuclear magnetic resonance, electron paramagnetic resonance, infrared and ultraviolet/visible spectroscopy, and mass spectrometry. prereq: grad chem major or instr consent
CHEM 8201 - Materials Chemistry
Credits: 4.0 [max 4.0]
Course Equivalencies: Chem 5201/8201
Grading Basis: A-F or Aud
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: [4701, 3502] or instr consent
CHEM 8211 - Physical Polymer Chemistry
Credits: 4.0 [max 4.0]
Course Equivalencies: 00620
Typically offered: Every Spring
Chain conformations. Thermodynamics of polymer solutions, blends, and copolymers. Light, neutron, and X-ray scattering. Dynamics in dilute solution and polymer characterization and in melts and viscoelasticity. Rubber elasticity, networks, gels. Glass transition. crystallization. prereq: Undergrad physical chem course
CHEM 8221 - Synthetic Polymer Chemistry
Credits: 4.0 [max 4.0]
Course Equivalencies: 00295
Typically offered: Every Fall
Condensation, radical, ionic, emulsion, ring-opening, metal-catalyzed polymerizations. Chain conformation, solution thermodynamics, molecular weight characterization, physical properties. prereq: [Undergrad organic chemistry course, undergrad physical chemistry course] or instr consent
CHEM 8361 - Interpretation of Organic Spectra
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Practical application of nuclear magnetic resonance, mass, ultraviolet, and infrared spectral analyses to solution of organic structural problems. prereq: 2302 or equiv
CHEM 8551 - Quantum Mechanics I
Credits: 4.0 [max 4.0]
Course Equivalencies: Chem 5551/8551
Typically offered: Every Fall
Review of classical mechanics. Postulates of quantum mechanics with applications to determination of single particle bound state energies and scattering cross-sections in central field potentials. Density operator formalism with applications to description of two level systems, two particle systems, entanglement, and Bell inequality. prereq: undergrad physical chem course
CHEM 8561 - Thermodynamics, Statistical Mechanics, and Reaction Dynamics I
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Two-part sequence. Thermodynamics, equilibrium statistical mechanics, ensemble theory, partition functions. Applications, including ideal gases/crystals. Theories of simple liquids, Monte Carlo, and molecular dynamics simulations. Reaction dynamics from microscopic viewpoint. prereq: undergrad physical chem course
CHEM 8562 - Thermodynamics, Statistical Mechanics, and Reaction Dynamics II
Credits: 4.0 [max 4.0]
Typically offered: Every Spring
Two-part sequence. Thermodynamics, equilibrium statistical mechanics, ensemble theory, partition functions. Applications, including ideal gases/crystals. Theories of simple liquids, Monte Carlo, and molecular dynamics simulations. Reaction dynamics from microscopic viewpoint. prereq: 8561
CEGE 8022 - Numerical Methods for Free and Moving Boundary Problems
Credits: 3.0 [max 3.0]
Prerequisites: 8401 or #
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Examples of free and moving boundary problems: metal solidification, filling, polymer molding, flow in porous media, ground freezing. Solutions: analytical, fixed finite difference, fixed finite element, front tracking schemes, general deforming finite element methods. prereq: 8401 or instr consent
CEGE 8401 - Fundamentals of Finite Element Method
Credits: 3.0 [max 3.0]
Prerequisites: 4411 or #
Grading Basis: A-F or Aud
Typically offered: Every Spring
Elements of calculus of variations; weak and strong formulations of linear continuum and structural problems. Isoparametric elements and numerical integration. Basic concepts of error analysis and convergence. Analysis of plates and shells. Introduction to mixed methods and time dependent problems. prereq: 4411 or instr consent
CEGE 8402 - Nonlinear Finite Element Analysis
Credits: 3.0 [max 3.0]
Prerequisites: 8401 or #; offered alt yrs
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Large strains and work conjugate stresses. Equilibrium and principle of virtual work for nonlinear problems. Nonlinear elasticity and plasticity. Finite element discretization and nonlinear algebraic equations. Linearization and solution algorithms for nonlinear problems. Structural stability. prereq: 8401 or instr consent; offered alt yrs
CEGE 8501 - Environmental Fluid Mechanics I
Credits: 4.0 [max 4.0]
Prerequisites: 3502 or equiv or #
Grading Basis: A-F or Aud
Typically offered: Every Fall
Basic laws of mass, energy, and momentum transport in environmental fluid flow. Exact and approximate solutions for viscous flow. Irrotational flow; gravity waves. Similitude and inspectional analysis. Laminar boundary layers and slender flows. Application to engineering and environmental problems. prereq: 3502 or equiv or instr consent
CEGE 8502 - Environmental Fluid Mechanics II
Credits: 4.0 [max 4.0]
Prerequisites: 8501 or #
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Reynolds equations. Developed and developing turbulent boundary layers and slender flows, and their interaction with inviscid flow. Jets, plumes, wakes and shear layers. Statistical description of turbulence; data analysis. prereq: 8501 or instr consent
CEGE 8504 - Theory of Unit Operations
Credits: 4.0 [max 4.0]
Prerequisites: 5541
Grading Basis: A-F or Aud
Typically offered: Periodic Fall & Spring
Theoretical basis, design, operation of chemical/physical processes used in treating/controlling water quality. Adsorption, ion exchange, sedimentation, thickening, filtration, gas transfer, coagulation, flocculation, membrane processes, disinfection. prereq: 5541
CEGE 8505 - Biological Processes
Credits: 3.0 [max 3.0]
Prerequisites: 4502, 4501 or #
Grading Basis: A-F or Aud
Typically offered: Every Spring
Theoretical principles underlying chemical and biological wastewater treatment processes, including aerobic and anaerobic treatment for organic carbon and nutrient removal. Mathematical models of microbial growth kinetics and mass transport in suspended growth and attached film applications are developed. prereq: 4502, 4501 or instr consent
CSCI 5302 - Analysis of Numerical Algorithms
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Additional topics in numerical analysis. Interpolation, approximation, extrapolation, numerical integration/differentiation, numerical solutions of ordinary differential equations. Introduction to optimization techniques. prereq: 2031 or 2033 or instr consent
CSCI 5304 - Computational Aspects of Matrix Theory
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Perturbation theory for linear systems and eigenvalue problems. Direct/iterative solution of large linear systems. Matrix factorizations. Computation of eigenvalues/eigenvectors. Singular value decomposition. LAPACK/other software packages. Introduction to sparse matrix methods. prereq: 2031 or 2033 or instr consent
CSCI 8363 - Numerical Linear Algebra in Data Exploration
Credits: 3.0 [max 3.0]
Typically offered: Periodic Spring
Computational methods in linear algebra, matrix decompositions for linear equations, least squares, eigenvalue problems, singular value decomposition, conditioning, stability in method for machine learning, large data collections. Principal directions, unsupervised clustering, latent semantic indexing, linear least squares fit. Markov chain models on hyperlink structure. prereq: 5304 or instr consent
EE 5163 - Semiconductor Properties and Devices I
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Principles/properties of semiconductor devices. Selected topics in semiconductor materials, statistics, and transport. Aspects of transport in p-n junctions, heterojunctions. prereq: [3161, 3601, CSE grad student] or dept consent
EE 5164 - Semiconductor Properties and Devices II
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Principles/properties of semiconductor devices. Charge control in different FETs, transport, modeling. Bipolar transistor models (Ebers-Moll, Gummel-Poon), heterostructure bipolar transistors. Special devices. prereq: 5163 or instr consent
EE 5181 - Micro and Nanotechnology by Self Assembly
Credits: 3.0 [max 3.0]
Typically offered: Spring Odd Year
Self-assembly process of micro and nano structures for realization of 1-, 2-, 3-dimensional micro- and nano-devices. Micro and nanoscale fabrication by electrostatic, magnetic, surface tension, Capillary, intrinsic and extrinsic forces. Nanoscale lithographic patterning. Devices packaging, Self-healing process. prereq: EE 3161, Phys 1302
EE 5231 - Linear Systems and Optimal Control
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Properties and modeling of linear systems. Linear quadratic and linear-quadratic-Gaussian regulators. Maximum principle. prereq: [3015, CSE grad student] or instr consent
EE 5239 - Introduction to Nonlinear Optimization
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall & Spring
Nonlinear optimization. Analytical/computational methods. Constrained optimization methods. Convex analysis, Lagrangian relaxation, non-differentiable optimization, applications in integer programming. Optimality conditions, Lagrange multiplier theory, duality theory. Control, communications, management science applications. prereq: [3025, Math 2373, Math 2374, CSE grad student] or dept consent
EE 5657 - Physical Principles of Thin Film Technology
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Fabrication, characterization, and application of thin film and nanostructured materials and devices. Focuses on vacuum deposition. Materials science. Hands-on, team-based labs.
EE 8161 - Physics of Semiconductors
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall & Spring
Modern solid-state theory applied to specific semiconductor materials. Influence of band structure and scattering mechanisms upon semiconductor properties. Plasma effects in semiconductors. Mathematical treatments of generation-recombination kinetics, carrier injection, drift, and diffusion. Use of semiconductor properties in devices of current importance. prereq: instr consent
GCD 4034 - Molecular Genetics and Genomics
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
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.
GCD 8151 - Cellular Biochemistry and Cell Biology
Credits: 3.0 [max 3.0]
Grading Basis: A-F only
Typically offered: Every Fall
This course introduces graduate students to fundamental concepts of Biochemical Unity (Part 1) and Cell Theory (Part 2). For Part 1, we will discuss matter of life, equilibrium, entropy & law of mass action, two state systems, random walks & diffusion, rate equations of chemical reactions, and explore how they relate to regulation of biological networks (gene regulation and signal transduction). For Part 2 we will focus on properties of biological membranes, membrane trafficking, protein import & degradation, nuclear structures and their function, as well as molecular motors, cytoskeletal dynamics, and mitosis. The course assumes students have had previous undergraduate courses in cell biology, biochemistry and genetics. prereq: [[[4034 or 8121 or BioC 8002], Biol 4004] or BMBB or MCDBG grad student] or instr consent
GCD 8161 - Advanced Developmental Biology
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Current concepts/experimental approaches to basic mechanisms of development. Model organisms. Embryology, cell fate determination, differentiation, pattern formation, polarity, cell migration, cell interactions. Analysis of original research articles. prereq: [BMBB or MCDBconcurrent registration is required (or allowed) in G grad student or GCD4161] or [[GCD 8131 or Biol 4003], Biol 4004, GCD4034]] or instr 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 4214 - Polymers
Credits: 3.0 [max 3.0]
Course Equivalencies: 01578 - 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
MATS 4223W - Polymer Laboratory (WI)
Credits: 2.0 [max 2.0]
Course Equivalencies: Chem/MatS 5223W
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: 4214 or CHEM 4214 or CHEM 4221 or MATS 4214 or instr consent
MATS 5517 - Electron Microscopy
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Spring
Transmission electron microscope, scattering and diffraction, electron sources, lenses, apertures and resolution, specimen preparation, diffraction patterns, kikuchi diffraction, planar defects, strain fields, high resolution imaging, X-ray spectrometry.
MATS 8001 - Structure and Symmetry of Materials
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Comprehensive description of structure of materials, including metals, semiconductors, organic crystals, polymers, and liquid crystals. Atomic and molecular ordering, influence of intermolecular forces on symmetry and structure. Principles of scattering and use of X-ray, neutron, and electron diffraction. prereq: MatS and ChEn majors must take this course for a grade
MATS 8002 - Thermodynamics and Kinetics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
First three laws of thermodynamics, free energy, equilibrium constants, fugacity and activity relationships, solution models, order-disorder transitions, phase transitions. Elementary statistical mechanics. Applications to materials systems, including surface energies, multicomponent equilibria, reaction kinetics, mass transport, diffusion.
MATS 8003 - Electronic Properties
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Basic physical theory of bonding in metals, alloys, and semiconductors. Review of modern physics, statistical physics, and solid state physics. Structure of matter emphasizing electronic processes. Techniques for predicting and understanding electronic structure of solids. Transport theory, elementary theory of magnetism, and superconductivity. prereq: instr consent
MATS 8004 - Mechanical Properties
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Defects in crystalline materials, including point defects, dislocations, and grain boundaries. Structure and movement of defects related to mechanical behavior of materials. Tools used to understand crystals and crystallography.
MATS 8211 - Physical Chemistry of Polymers
Credits: 4.0 [max 4.0]
Course Equivalencies: Chem/MatS 8211
Typically offered: Every Spring
Introduction to polymer physical chemistry. Chain conformations; thermodynamics of polymer solutions, blends, and copolymers; light, neutron, and X-ray scattering; dynamics in dilute solutions and polymer characterization; dynamics of melts and viscoelasticity; rubber elasticity, networks, and gels; glass transitions; crystallization. prereq: Undergrad physical chem or instr consent
MATS 8221 - Synthetic Polymer Chemistry
Credits: 4.0 [max 4.0]
Course Equivalencies: 00295
Grading Basis: A-F or Aud
Typically offered: Every Fall
Condensation, radical, ionic, emulsion, ring-opening, metal-catalyzed polymerizations. Chain conformation, solution thermodynamics, molecular weight characterization, physical properties. prereq: [Undergrad organic chemistry course, undergrad physical chemistry course] 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 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 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 5651 - Basic Theory of Probability and Statistics
Credits: 4.0 [max 4.0]
Course Equivalencies: 00259 - MATH 4653/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.
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 8441 - Numerical Analysis and Scientific Computing
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Approximation of functions, numerical integration. Numerical methods for elliptic partial differential equations, including finite element methods, finite difference methods, and spectral methods. Grid generation. prereq: [4xxx analysis, 4xxx applied linear algebra] or instr consent
MATH 8442 - Numerical Analysis and Scientific Computing
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Numerical methods for integral equations, parabolic partial differential equations, hyperbolic partial differential equations. Monte Carlo methods. prereq: 8441 or instr consent; 5477-5478 recommended for engineering and science grad students
ME 5113 - Aerosol/Particle Engineering
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Kinetic theory, definition, theory and measurement of particle properties, elementary particle mechanics, particle statistics; Brownian motion and diffusion, coagulation, evaporation and condensation, sampling and transport. prereq: CSE upper div or grad student
ME 5446 - Introduction to Combustion
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Thermodynamics, kinetics, energy and mass transport, pollutants in reacting systems. Reactors, laminar and turbulent flames. Ignition, quenching, and flame stability. Diffusion flames. Combustion in reciprocating engines, furnaces, and turbines, with emphasis on internal combustion engine performance and emissions. prereq: 3331, 3332, 3333, CSE upper div or grad student
ME 8341 - Conduction
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Advanced understanding/application of conduction/diffusion to heat/mass transfer problems. Solving ordinary/partial differential equations related to physics of diffusion. Special topics in numerical microscale heat transfer. prereq: Undergrad class in heat transfer or instr consent
ME 8390 - Advanced Topics in the Thermal Sciences
Credits: 1.0 -3.0 [max 18.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Topics vary according to instructor.
MICA 8002 - Structure, Function, and Genetics of Bacteria and Viruses
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Structure, function, and metabolism of microorganisms. Microbial genetics. Molecular virology. prereq: [One undergrad or grad course each in [microbiology, genetics, biochemistry]] or instr consent
PA 5011 - Management of Organizations
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall & Spring
Challenges facing higher-level managers in public and nonprofit organizations in mixed economy and democratic republic. Distinctive features of public and nonprofit management, skills necessary for effective management, manager's role as creator of public value. Lectures, case discussions.
PA 5012 - The Politics of Public Affairs
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Stages of policy making from agenda setting to implementation. Role and behavior of political institutions, citizens, social movements, and interest groups. Concepts of political philosophy. Theories of state. Team taught, interdisciplinary course. Small discussion sections.
PA 5021 - Economics For Policy Analysis and Planning I
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Fall
Introduction to tools useful for public policy. Intermediate microeconomics, macroeconomics, and concepts of international trade. prereq: [Econ 1101 or equiv] or instr consent
PA 5701 - Science and State
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall & Spring
Relationship between science and contemporary society. Nature of science: its values, processes, and ways of knowing. How science has influenced U.S. political institutions and political/judicial processes. Issues in current debate over U.S. science policy. prereq: Grad or instr consent
PA 5711 - Science, Technology & Environmental Policy
Credits: 3.0 [max 3.0]
Typically offered: Every Fall
Interplay of science, technology, the environment, and society. Approaches from across the social sciences will cover how science and technology can create new environmental pressures as well as policy challenges in a range of spheres from climate change to systems of intellectual property and international development.
PA 5721 - Energy and Environmental Policy
Credits: 3.0 [max 3.0]
Typically offered: Every Fall & Spring
Impact of energy production/consumption choices on environmental quality, sustainable development, and other economic/social goals. Emphasizes public policy choices for energy/environment, linkages between them. prereq: Grad or instr consent
PA 5722 - Economics of Natural Resource and Environmental Policy
Credits: 3.0 [max 3.0]
Course Equivalencies: 01860 - ApEc 5651/PA 5722
Typically offered: Every Spring
Public policy associated with natural resource use and environmental protection. Develops/applies economic concepts/methodologies/policy mechanisms. Principles of environmental/resource economics. Issues related to renewable/nonrenewable resources and environmental pollution. Focuses on scientific/political aspects of policy. prereq: [Intermediate microeconomics, intermediate policy analysis, grad student] or instr consent
PA 5801 - Global Public Policy
Credits: 3.0 [max 3.0]
Typically offered: Every Spring
Creation of rules, norms, institutions to regulate global activities. Policy making. How global policy making regulates interstate, national, transnational activities. Creation/enforcement of global rules. Applications to international security, political economy. prereq: Grad or instr consent
STAT 5021 - Statistical Analysis
Credits: 4.0 [max 4.0]
Typically offered: Every Fall & Spring
Intensive introduction to statistical methods for graduate students needing statistics as a research technique. prereq: Credit will not be granted if credit has been received for: : 3011; College algebra or instr consent; Stat course recommended