Program Details : University Catalogs : University of Minnesota

CHEN 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.

CHEN 8101 - Fluid Mechanics

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

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 Math

Credits:	3.0 [max 3.0]
Course Equivalencies:	ChEn 4701/ChEn 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:	ChEn 4706/ChEn 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 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

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]

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

CHEN 5803 - Chemical and Materials Technology Commercialization

Credits:	3.0 [max 3.0]
Course Equivalencies:	MatS 5803 / ChEn 5803
Grading Basis:	A-F only
Typically offered:	Every Fall

Introduction to chemical and materials technology commercialization including a focus on products, markets, customers, and processes for brining innovations to market. Pre-requisite courses: CHEN 3101 or MATS 3001.

CHEN 8102 - Introduction to Rheology

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

This course will describe flow behavior of complex fluids from both a macroscopic experimental point of view, in which we focus on characterizing nontrivial responses to stress and strain, and from a microstructural point of view, in which we focus on the microstructural and molecular origins of observed behavior. Primary topics will include: ? Linear viscoelasticity (dynamic response to varied types of small deformation) ? Non-linear phenomena (non-Newtonian flow and nonlinear elasticity) ? Phenomenological constitutive relations ? Experimental methods for shear and extensional flow ? Microstructural models of colloidal dispersions and polymer liquids

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:	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 4511 - Mechanics of Composite Materials

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

Analysis, design, and applications of laminated and chopped fiber reinforced composites. Micro-/macro-mechanical analysis of elastic constants, failure, and environmental degradation. Design project. prereq: 3031 (or 2031 if MatSci), [CSE upper div or grad student]

AEM 5321 - Modern Feedback Control

Credits:	3.0 [max 3.0]
Course Equivalencies:	AEM 5321/EE 5231
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 5451 - Optimal Estimation

Credits:	3.0 [max 3.0]
Course Equivalencies:	AEM 5451/EE 5251
Typically offered:	Fall Even Year

Basic probability theory. Batch/recursive least squares estimation. Filtering of linear/non-linear systems using Kalman and extended Kalman filters. Applications to sensor fusion, fault detection, and system identification. prereq: [[MATH 2243 or STAT 3021 or equiv], [4321 or EE 4231 or ME 5281 or equiv]] or instr consent

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 5581 - Mechanics of Solids

Credits:	3.0 [max 3.0]
Course Equivalencies:	AEM 4581/AEM 5581
Typically offered:	Fall Odd Year

Continuum mechanics in one dimension: kinematics; mass, momentum/energy, constitutive theory. Wave propagation, heat conduction. Strings. Euler-Bernoulli theory. 3-D deformations/stress. Topics from fracture mechanics, structural stability, vibrations, thin films, layered media, smart materials, phase transformations, 3-D elastic wave propagation. Elasticity, viscoelasticity, plasticity. prereq: 3031 or equiv, [Math 2373 or equiv], [Math 2374 or equiv], [CSE grad student]

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 8423 - Convex Optimization Methods in Control

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

Practical aspects of convex optimization methods applied to solve design/analysis problems in control theory. prereq: 5321 or EE 5231 or equiv

AEM 8511 - Advanced Topics in Continuum Mechanics

Credits:	3.0 [max 6.0]
Grading Basis:	A-F or Aud
Typically offered:	Periodic Fall & Spring

Constitutive equations; invariance and thermodynamic restrictions. Nonlinear elasticity theory; exact solutions, minimization, stability. Non-Newtonian fluids; viscometric flows, viscometric functions, normal stress. Other topics may include reactive and/or nonreactive mixtures, nonlinear plasticity, and deformable electromagnetic continua. prereq: 5501 or instr consent

AEM 8525 - Elastic Stability of Materials

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

Stability/bifurcation problems. Poincare stability, Lyapunov stability, asymptotic stability. Lyapunov's general methods. Minimum potential energy criterion for elastic conservative systems. Numerical methods for continuation/branch switching. Material phase transformation, crystalline material stability, soft-phonon theory of phase transitions. Material instability problems in finite-strain elasticity. Stability of discrete/continuous structures. prereq: CSE grad student, familiarity with theory of linear algebra

AEM 8531 - Fracture Mechanics

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

Theories of mechanical breakdown. Kinetic rate theories and instability considerations; formation of equilibrium cracks and circular crack propagation under pulses; statistical aspects of strength and fracture of micromolecular systems; time and temperature dependency in fracture problems and instability of compressed material systems. prereq: 5503 or instr consent

AEM 8541 - Mechanics of Crystalline Solids

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

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

AEM 8551 - Multiscale Methods for Bridging Length and Time Scales

Credits:	3.0 [max 3.0]
Course Equivalencies:	AEM 8551/SCIC 8551
Prerequisites:	Basic knowledge of [continuum mechanics, atomic forces], familiarity with partial differential equations, grad student in [engineering or mathematics or physics]
Grading Basis:	A-F or Aud
Typically offered:	Periodic Spring

Classical/emerging techniques for bridging length/time scales. Nonlinear thermoelasticity, viscous fluids, and micromagnetics from macro/atomic viewpoints. Statistical mechanics, kinetic theory of gases, weak convergence methods, quasicontinuum, effective Hamiltonians, MD, new methods for bridging time scales. prereq: Basic knowledge of [continuum mechanics, atomic forces], familiarity with partial differential equations, grad student in [engineering or mathematics or physics]

BBE 5001 - Chemistry of Biomass and Biomass Conversion to Fuels and Products

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. Sustainable utilization for biofuels/bioproducts. Bio-based materials, chemicals, energy. Environmental implications. Chemical principles/reactions underlying the structure, properties, processing, and performance of plant materials. prereq: Grad student 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: BioC 4331 or Bioc 3201 or BioC 3022

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 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:	BioC 3021/BioC 3022/BioC 4331/
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 5041 - Tissue Engineering

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

Fundamentals of wound healing and tissue repair; characterization of cell-matrix interactions; case study of engineered tissues, including skin, bone marrow, liver, vessel, and cartilage; regulation of biomaterials and engineered tissues. prereq: CSE upper div or grad student or med 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:	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 5321 - Microfluidics in Biology and Medicine

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

Fundamentals of microfluidics. Fluid mechanics/transport phenomena in microscale systems. Pressure/surface driven flows. Capillary forces, electrokinetics, hydraulic circuit analysis. Finite element modeling for microfluidic systems. Design/fabrication methods for microfluidic devices. prereq: [3111, AEM 4201, ChEn 4005, [ME 3331 or ME 3332 or CSE grad student or instr consent]

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 5701 - Cancer Bioengineering

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

Cancer-specific cell, molecular/genetics events. Quantitative applications of bioinformatics/systems biology, optical imaging, cell/matrix mechanics. Drug transport (with some examination of design of novel therapeutics). prereq: [Upper division CSE undergraduate, CSE graduate student] or instr consent

BMEN 8001 - Polymeric Biomaterials

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

Introduction to polymeric biomaterial research. Molecular engineering, characterization of properties, material-cell interaction, biocompatibility/bioactivity. Applications in biology and medicine. prereq: [5001, [CHEN 4214 or MATS 4214 or equiv]] or instr consent

BMEN 8431 - Controlled Drug and Gene Delivery: Materials, Mechanisms, and Models

Credits:	4.0 [max 4.0]
Course Equivalencies:	BMEn 8431/PHM 8431
Grading Basis:	A-F or Aud
Typically offered:	Every Spring

Physical, chemical, physiological, mathematical principles underlying design of delivery systems for drugs. Small molecules, proteins, genes. Temporal controlled release. prereq: Differential equations course including partial differential equations or instr consent

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.

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

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 5755 - X-Ray Crystallography

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

Essentials of crystallography as applied to modern, single crystal X-ray diffraction methods. Practical training in use of instrumentation in X-ray crystallography facility in Department of Chemistry. Date collection, correction/refinement, structure solutions, generation of publication materials, use of Cambridge Crystallographic Structure Database. prereq: Chem 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 4201/Chem 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:	Chem 8211/ChEn 8211/MatS 8211
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:	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: [Undergrad organic chemistry course, undergrad physical chemistry course] or instr consent

CHEM 8321 - Organic Synthesis

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

Core course; fundamental concepts, reactions, reagents, structural and stereochemical issues, and mechanistic skills necessary for understanding organic chemistry. prereq: 2302 or equiv

CHEM 8322 - Advanced Organic Chemistry

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

Modern studies. Topics, which vary by year, include natural products, heterocycles, asymmetric synthesis, organometallic chemistry, and polymer chemistry. prereq: 2302 or equiv

CHEM 8361 - Interpretation of Organic Spectra

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

Practical application of nuclear magnetic resonance, mass, ultraviolet, and infrared spectral analyses to solution of organic structural problems. prereq: 2302 or equiv

CHEM 8411 - Introduction to Chemical Biology

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

Chemistry of amino acids, peptides, proteins, lipids, carbohydrates, and nucleic acids. Structure, nomenclature, synthesis, and reactivity. Overview of techniques used to characterize these biomolecules. prereq: 2302 or equiv

CHEM 8412 - Chemical Biology of Enzymes

Credits:	4.0 [max 4.0]
Course Equivalencies:	Chem 8412/MedC 8412
Typically offered:	Periodic Spring

Enzyme classification with representative examples from current literature. Strategies used to decipher enzyme mechanisms. Chemical approaches for control of enzyme catalysis. 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

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 5461 - Functional Genomics, Systems Biology, and Bioinformatics

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

Computational methods for analyzing, integrating, and deriving predictions from genomic/proteomic data. Analyzing gene expression, proteomic data, and protein-protein interaction networks. Protein/gene function prediction, Integrating diverse data, visualizing genomic datasets. prereq: 3003 or 4041 or instr consent

CSCI 5521 - Machine Learning Fundamentals

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

Problems of pattern recognition, feature selection, measurement techniques. Statistical decision theory, nonstatistical techniques. Automatic feature selection/data clustering. Syntactic pattern recognition. Mathematical pattern recognition/artificial intelligence. Prereq: [2031 or 2033], STAT 3021, and knowledge of partial derivatives

CSCI 5525 - Machine Learning: Analysis and Methods

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

Models of learning. Supervised algorithms such as perceptrons, logistic regression, and large margin methods (SVMs, boosting). Hypothesis evaluation. Learning theory. Online algorithms such as winnow and weighted majority. Unsupervised algorithms, dimensionality reduction, spectral methods. Graphical models. prereq: Grad student 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 5171 - Microelectronic Fabrication

Credits:	3.0 [max 4.0]
Typically offered:	Every Fall

Fabrication of microelectronic devices. Silicon integrated circuits, GaAs devices. Lithography, oxidation, diffusion. Process integration of various technologies, including CMOS, double poly bipolar, and GaAs MESFET. prereq: CSE grad student or dept consent

EE 5173 - Basic Microelectronics Laboratory

Credits:	1.0 [max 1.0]
Typically offered:	Every Fall

Students fabricate a polysilicon gate, single-layer metal, NMOS chip, performing 80 percent of processing, including photolithography, diffusion, oxidation, and etching. In-process measurement results are compared with final electrical test results. Simple circuits are used to estimate technology performance. prereq: [[5171 or concurrent registration is required (or allowed) in 5171], CSE grad student] or dept 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 Control

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

The course studies finite-dimensional linear systems in continuous and discrete time. Such systems are described by ordinary differential and difference equations. Input-output and state-space descriptions are provided and analyzed. Introductory methods for controlling such systems are developed. prereq: [3015, CSE grad student] or instr consent

EE 5235 - Robust Control System Design

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

Development of control system design ideas; frequency response techniques in design of single-input/single-output (and MI/MO) systems. Robust control concepts. CAD tools. prereq: CSE grad, 3015, 5231 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 5251 - Optimal Filtering and Estimation

Credits:	3.0 [max 3.0]
Course Equivalencies:	AEM 5451/EE 5251
Typically offered:	Every Fall

Basic probability theory, stochastic processes. Gauss-Markov model. Batch/recursive least squares estimation. Filtering of linear/nonlinear systems. Continuous-time Kalman-Bucy filter. Unscented Kalman filter, particle filters. Applications. prereq: [[[MATH 2243, STAT 3021] or equiv], CSE grad student] or dept consent; 3025, 4231 recommended

EE 5531 - Probability and Stochastic Processes

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

Probability, random variables and random processes. System response to random inputs. Gaussian, Markov and other processes for modeling and engineering applications. Correlation and spectral analysis. Estimation principles. Examples from digital communications and computer networks. prereq: [3025, CSE grad student] or dept consent

EE 5561 - Image Processing and Applications: From linear filters to artificial intelligence

Credits:	3.0 [max 3.0]
Course Equivalencies:	EE 5561/EE 8541
Typically offered:	Every Spring

Image enhancement, denoising, segmentation, registration, and computational imaging. Sampling, quantization, morphological processing, 2D image transforms, linear filtering, sparsity and compression, statistical modeling, optimization methods, multiresolution techniques, artificial intelligence concepts, neural networks and their applications in classification and regression tasks in image processing. Emphasis is on the principles of image processing. Implementation of algorithms in Matlab/Python and using deep learning frameworks. prereq: [4541, 5581, CSE grad student] or instr consent

EE 5621 - Physical Optics

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

Physical optics principles, including Fourier analysis of optical systems/images, scalar diffraction theory, interferometry, and coherence theory. Diffractive optical elements, holography, astronomical imaging, optical information processing, microoptics. prereq: [3015, CSE grad student] or dept consent

EE 5622 - Physical Optics Laboratory

Credits:	1.0 [max 1.0]
Typically offered:	Every Spring

Fundamental optical techniques. Diffraction and optical pattern recognition. Spatial/temporal coherence. Interferometry. Speckle. Coherent/incoherent imaging. Coherent image processing. Fiber Optics. prereq: [[5621 or concurrent registration is required (or allowed) in 5621], CSE grad student] or dept consent

EE 5624 - Optical Electronics

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

Fundamentals of lasers, including propagation of Gaussian beams, optical resonators, and theory of laser oscillation. Polarization optics, electro-optic, acousto-optic modulation, nonlinear optics, phase conjugation. prereq: [[3601 or Phys 3002], CSE grad student] or dept consent

EE 5640 - Introduction to Nano-Optics

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

This course will cover the physics and technology of nano-optics and plasmonics and their potential applications in biochemical sensing, super-resolution imaging, optical trapping, light emission, and spectroscopy. The following topics will be covered: - Maxwell's equations, E&M of metals - Fresnel's equations, light propagation in periodic media - Physics of surface plasmon waves - Metallic waveguides: metal-insulator-metal vs. insulator-metal-insulator - Optical antennas - Noble metal nanoparticles: Synthesis, optical properties, and applications - Optical biosensors based on surface plasmon resonance (SPR) - Surface enhanced Raman scattering (SERS) - Surface enhanced Infrared Absorption (SEIRA) - Super-resolution imaging and near-field optical microscopy - Light transmission through nano-apertures (extraordinary optical transmission) - Plasmonics at long wavelengths (infrared and terahertz) - Plasmonics in atomically thick materials Knowledge of Maxwell's equations, Matlab, or Mathematica coding is suggested but not required.

EE 5653 - Physical Principles of Magnetic Materials

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

Physics of diamagnetism, paramagnetism, ferromagnetism, antiferromagnetism, ferrimagnetism. Ferromagnetic phenomena. Static/dynamic theory of micromagnetics, magneto-optics, and magnetization dynamics. Magnetic material applications. prereq: CSE grad student or dept consent

EE 5655 - Magnetic Recording

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

Magnetic fundamentals, recording materials, idealized models of magnetic records/reproduction, analytic models of magnetic record heads, sinusoidal magnetic recording, digital magnetic recording, magnetic recording heads/media, digital recording systems. prereq: 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

EE 8231 - Optimization Theory

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

Introduction to optimization in engineering; approximation theory. Least squares estimation, optimal control theory, and computational approaches. prereq: instr consent

ESCI 5353 - Electron Microprobe Theory and Practice

Credits:	3.0 [max 3.0]
Course Equivalencies:	ESci 5353/MatS 5353
Typically offered:	Periodic Fall

Characterizing solid materials with electron beam instrumentation, including reduction of X-ray data to chemical compositions. prereq: [One yr chem, one yr physics] or instr consent

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 8151 - Cellular Biochemistry and Cell Biology

Credits:	2.0 -4.0 [max 4.0]
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 Cell Biology and Development

Credits:	2.0 [max 3.0]
Grading Basis:	A-F only
Typically offered:	Every Spring

The advanced cell and developmental biology of embryos, taught through in-depth, comparative analysis of historical and current primary research articles that illustrate developmental mechanisms and experimental approaches in key invertebrate and vertebrate model organisms. prereq:[BMBB or MCDBG grad student] or [GCD 4161, [GCD 8131 or Biol 4003], Biol 4004, and GCD 4034] or instr consent

IE 5531 - Engineering Optimization I

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

Linear programming, simplex method, duality theory, sensitivity analysis, interior point methods, integer programming, branch/bound/dynamic programming. Emphasizes applications in production/logistics, including resource allocation, transportation, facility location, networks/flows, scheduling, production planning. prereq: Upper div or grad student or CNR

IE 5532 - Stochastic Models

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

Introduction to stochastic modeling and stochastic processes. Probability review, random variables, discrete- and continuous-time Markov chains, queueing systems, simulation. Applications to industrial and systems engineering including production and inventory control. prereq: Undergraduate probability and statistics. Familiarity with computer programming in a high level language.

IE 8521 - Optimization

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

Theory and applications of linear and nonlinear optimization. Linear optimization: simplex method, convex analysis, interior point method, duality theory. Nonlinear optimization: interior point methods and first-order methods, convergence and complexity analysis. Applications in engineering, economics, and business problems. prereq: Familiarity with linear algebra and calculus.

IE 8531 - Discrete Optimization

Credits:	4.0 [max 8.0]
Typically offered:	Periodic Fall & Spring

Topics in integer programming and combinatorial optimization. Formulation of models, branch-and-bound. Cutting plane and branch-and-cut algorithms. Polyhedral combinatorics. Heuristic approaches. Introduction to computational complexity.

IE 8532 - Stochastic Processes and Queuing Systems

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

Introduction to stochastic modeling and processes. Random variables, discrete and continuous Markov chains, renewal processes, queuing systems, Brownian motion, and elements of reliability and stochastic simulation. Applications to design, planning, and control of manufacturing and production systems. prereq: 4521 or equiv

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 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 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:	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 8401 - Mathematical Modeling and Methods of Applied Mathematics

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

Dimension analysis, similarity solutions, linearization, stability theory, well-posedness, and characterization of type. Fourier series and integrals, wavelets, Green's functions, weak solutions and distributions. prereq: 4xxx numerical analysis and applied linear algebra or instr consent

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

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

MATS 5517 - Microscopy of Materials

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

A basic introduction to electron microscopy (EM) methods and techniques for materials characterization. The course is intended for junior- and senior-level undergraduates and graduate students interested in obtaining a basic understanding of characterization with EM. Topics to be covered include an introduction to instrumentation, basics of scattering theory, and a survey of imaging, diffraction, and analytical measurement techniques. Current and emerging techniques will also be covered, including machine learning and big data for EM and time-resolved measurements. Students will research a specific topic of interest over the course of the semester, culminating in a project paper and a class presentation.

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 8201 - Applied Math

Credits:	3.0 [max 3.0]
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: Materials science grad student or instructor consent.

MATS 8211 - Physical Chemistry of Polymers

Credits:	4.0 [max 4.0]
Course Equivalencies:	Chem 8211/ChEn 8211/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 8217 - Transmission Electron Microscopy

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

This course is an introduction to transmission electron microscopy (TEM) and materials characterization using TEM. Topics include description and operation of TEMs, electron sources, basics of electron optics, interaction of electrons with specimen, diffraction, imaging techniques, and microanalysis. The goal of this course is to enable you to understand the fundamentals of TEM and microanalysis, read the scientific literature and determine which TEM-based method would be best to solve the problem you encounter in your own research. In a process you will learn about instrumentation, structure of materials, diffraction physics, optics, and condensed matter physics.

MATS 8221 - Synthetic Polymer Chemistry

Credits:	4.0 [max 4.0]
Course Equivalencies:	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

MATS 8301 - Physical Rate Processes I: Transport

Credits:	3.0 [max 3.0]
Course Equivalencies:	ChEn 8301/MatS 8301
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.

MATS 8995 - Special Topics

Credits:	1.0 -4.0 [max 4.0]
Grading Basis:	A-F or Aud
Typically offered:	Every Fall, Spring & Summer

New or experimental courses offered by department or visiting faculty.

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 5228 - Introduction to Finite Element Modeling, Analysis, and Design

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

Finite elements as principal analysis tool in computer-aided design (CAD); theoretical issues and implementation aspects for modeling and analyzing engineering problems encompassing stress analysis, heat transfer, and flow problems for linear situations. One-, two-, and three-dimensional practical engineering applications. prereq: CSE upper div or grad, 3221, AEM 3031, CSci 1113, MatS 2001

ME 5247 - Applied Stress Analysis

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

Intermediate-level solid mechanics with application to common machine elements such as unsymmetrical beams, non-circular shafts and plates. Stress functions. Introduction to energy methods for stress analysis. Experimental methods for measuring strains and determining related stresses, with lab. prereq: AEM 3031, MatS 2001, ME 3221

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

MEDC 8753 - MOLECULAR TARGETS OF DRUG DISCOVERY

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

Structure of biological macromolecules that are targets of drugs. Techniques to accelerate directed drug discovery. Protein structure/interactions. Popular target classes. Computational tools for visualizing/analyzing protein-ligand and protein-protein interactions. Structural characterization at a level sufficient to underpin critical data evaluation. Biophysical techniques to assess weak ligand binding and suitable for fragment-based lead discovery. prereq: 5710 or 8002 or CHEM 5412 or structural biochemistry or instr consent

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

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 5081 - 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. prereq: PHYS 2201 or equivalent

PHYS 5201 - Thermal and Statistical Physics

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

Equilibrium Statistical Mechanics. General Principles of Statistical Mechanics: Ensembles. Derivation of Thermodynamics from statistical principles. Classical Systems. Quantum Statistical Mechanics: Fundamentals. Photons. Ideal Fermi & Bose Gases. Non-ideal gases. Introduction to Phase Transitions. prereq: [[4101, 4201] or equiv] previous exposure to thermodynamics, introductory statistical physics

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

PHYS 8001 - Advanced Quantum Mechanics

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

Topics in non-relativistic quantum mechanics; second quantization. Introduction to Diagrammatic and Green's function techniques and to relativistic wave equations. Application of relativistic perturbation theory to particle interactions with electromagnetic field. Invariant interactions of elementary particles. prereq: 5002 or instr consent

PHYS 8702 - Statistical Mechanics and Transport Theory

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

Equilibrium properties of macroscopic classical and quantum systems. Phase transitions and Renormalization Group. Transport theory. Applications to soft condensed matter systems. prereq: 5201 or instr consent

PHYS 8711 - Solid-State Physics I

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

Fundamental properties of solids. Electronic structure and transport in metals and semiconductors. Properties of disordered materials. prereq: 4211, 5002 or instr consent

PHYS 8712 - Solid-State Physics II

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

Fundamental properties of solids. Electronic structure and transport in metals and semiconductors. Properties of disordered materials. prereq: 8711 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: college algebra or instr consent; credit will not be granted if credit has been received for STAT 3011

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 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

CHEN 8888 - Thesis Credit: Doctoral

Credits:	1.0 -24.0 [max 100.0]
Grading Basis:	No Grade
Typically offered:	Every Fall, Spring & Summer

(No description) prereq: Max 18 cr per semester or summer; 24 cr required

University Catalogs

Chemical Engineering Ph.D.