#### Courses

##### Graduate Courses

- BIOL 50700 Principles of Molecular Biology (3 cr.) P: K322, CHEM C342, or consent of instructor. Fall, night. Molecular aspects of structure and function of nucleic acids and proteins, including recombinant DNA research. Prokaryotic and eukaryotic molecular biology are given equal weight.
- BIOL 64100 Microbial Genetics (2 cr.) P: K323, CHEM C342, and consent of instructor. Spring, odd years, night. Genetics of bacteria, bacterial viruses, and other microorganisms with emphasis on organization, replication, and function of the genetic material.
- BIOL 69600 Seminar (1 cr.) Fall, Spring. Each semester there are several separate offerings. They will likely be on the following topics: biochemistry, biology teaching, ecology and population biology, genetics, mechanisms of development, microbiology, neurobiology, and plant physiology. Oral presentations required. May be repeated for credit.
- BIOL 69700 Special Topics (1-3 cr.) Fall, Spring. The frontiers of biology. Critical examination of developments in the various specialties represented by the members of the department. Currently, advanced work in the following and related fields can be offered: molecular genetics; structure and biosynthesis of biologically significant molecules; the nature of biological specificity and enzyme catalysis; the fine structure and chemistry of subcellular particles, cells, and tissues; microbial and plant metabolism; comparative biochemistry; genetics and physiology of viruses, bacteria, fungi, protozoa, helminths, and cells of higher forms of life; the genetics, structure, development, and physiology of plants and animals, including endocrinology and work physiology; excitable membranes; neurobiology, ecology, systematics, and evolution of microorganisms, plants, and animals; host-parasite relationships including immunology; and the teaching of biology. The field in which work is offered will be indicated in the student's record. May be repeated for credit.
- BIOS-S 515 Biostatistical Practicum (1-3 cr.) P: STAT 52100; BIOS S527, S546; or consent of instructor. Real-world projects in biostatistics involving participation in consulting sessions, directed reading in the literature, research ethics, design of experiments, collection of data and applications of biostatistical methods. Detailed written and oral reports required. May be repeated, up to 6 credits.
- BIOS-S 527 Introduction to Clinical Trials (3 cr.) P: STAT 51200, exposure to survival analysis; or consent of instructor. Prepares biostatisticians for support of clinical trial projects. Topics: fundamental aspects of the appropriate design and conduct of medical experiments involving human subjects including ethics, design, sample size calculation, randomization, monitoring, data collection analysis and reporting of the results.
- BIOS-S 530 Statistical Methods in Bioinformatics (pending approval) (3 cr.) P: STAT 51200, 51900; or consent of instructor. Covers a broad range of statistical methods used in many areas of bioinformatics research, including sequence alignment, genome sequencing and gene finding, gene expression microarray analysis, transcriptional regulation and sequence motif finding, comparative genomics, and proteomics.
- BIOS-S 546 Applied Longitudinal Data Analysis (3 cr.) P: STAT 51200, 52500; or permission of instructor. Covers modern methods for the analysis of repeated measures, correlated outcomes and longitudinal data. Topics: repeated measures ANOVA, random effects and growth curve models, generalized estimating equations (GEE) and generalized linear mixed models (GLMMs). Extensive use of statistical software, e.g. SAS, R.
- BIOS-S 598 Topics in Biostatistical Methods (1-3 cr.) P: Consent of advisor. Directed study and reports for students who wish to undertake individual reading and study on approved topics.
- BIOS-S 612 Modern Statistical Learning Methods (3 cr.) P: STAT 52500. This course covers the various topics pertaining to the modern methods of high-dimensional data analysis. Course is still subject to final approval by The University Graduate School.
- BIOS-S 621 Advanced Statistical Computing (pending approval) (3 cr.) P: STAT 52100, 52500, 52800. A study of computing methods commonly used in statistics. Topics include computer arithmetic, matrix algebra, numerical optimization methods with application to maximum likelihood estimation and GEEs, spline smoothing and penalized likelihood, numerical integration, random number generation and simulation methods, Gibbs sampling, bootstrap methods, missing data problems and EM, imputation, data augmentation algorithms, and Fourier transforms. Students should be proficient with effective implementation of numerical algorithms in one of commonly used computer languages (C, Fortran, S, R or similar).
- BIOS-S 627 Statistics in Pharmaceutical Research (3 cr.) P: STAT 51200; BIOS S527, S546. An overview of the drug development process, including the various phases of development from pre-clinical to post-marketing. Topics: statistical issues in design, study monitoring, analysis and reporting. Additional topics may include regulatory and statistical aspects of population pharmacokinetics and real world applications.
- BIOS-S 634 Stochastic Modeling in Biomedical and Health Sciences (pending approval) (3 cr.) P: STAT 52800. The aim of this course is to develop those aspects of stochastic processes that are relevant for modeling important problems in health sciences. Among the topics to be covered are: Poisson processes, birth and death processes, Markov chains and processes, semi-Markov processes, modeling by stochastic diffusions. Applications will be made to models of prevalence and incidence of disease, therapeutic clinical trials, clinical trials for prevention of disease, length biased sampling, models for early detection of disease, cell kinetics and family history problems.
- BIOS-S 636 Advanced Survival Analysis (pending approval) (3 cr.) P: STAT 62800. Discusses the theoretical basis of concepts and methodologies associated with survival data and censoring, nonparametric tests, and competing risk models. Much of the theory is developed using counting processes and martingale methods. Material is drawn from recent literature.
- BIOS-S 646 Advanced Generalized Linear Models (Pending Approval) (3 cr.) P: BIOS S546. Presents classical and modern approaches to the analysis of multivariate observations, repeated measures, and longitudinal data. Topics include the multivariate normal distribution, Hotelling's T2, MANOVA, the multivariate linear model, random effects and growth curve models, generalized estimating equations, statistical analysis of multivariate categorical outcomes, and estimation with missing data. Discusses computational issues for both traditional and new methodologies.
- BIOS-S 698 Topics in Biostatistical Methods (1-3 cr.) P: Consent of instructor. Directed study and reports for students who wish to undertake individual reading and study on approved topics.
- BIOS-S 699 Ph.D. Thesis/Research (1-15 cr.) P: Must have been admitted to candidacy. See advisor for more information. Research required by the graduate students for the sole purpose of writing a Ph.D. Dissertation.
- CAND 99100 Candidate (0 cr.) If you are an undergraduate, you will be given permission to register for CAND 99100 within one week of applying for graduation. Graduate students do not require course permission to register.
- CHEM 53300 Introductory Biochemistry (3 cr.) P: C342 or equivalent. A rigorous one-semester introduction to biochemistry.
- CHEM 54200 Inorganic Chemistry (3 cr.) P: C362 or equivalent or consent of instructor. Atomic structure; periodic trends and properties of the elements. Introduction to symmetry and group theory. Valence bond, molecular orbital, and ligand field theories of bonding and their application to structure and properties of inorganic and organometallic compounds. Spectroscopic properties and acid-base, oxidation-reduction, and coordination reactions of inorganic compounds. Advanced topics in main group or transition element chemistry.
- CHEM 57500 Intermediate Physical Chemistry (3 cr.) P: C362 or equivalent. Quantum theory of atoms and molecules, theories of chemical bonding, molecular spectroscopy, methods for determining molecular structure, and electrical and magnetic properties.
- CHEM 59900 Special Assignments (1-4 cr.) P: consent of instructor. Every semester including summer I and II, time arranged. Directed reading or special work not included in other courses.
- CHEM 62100 Advanced Analytical Chemistry (3 cr.) P: C311 and C410. A critical survey of recent developments in chemical and instrumental methods of analysis.
- CHEM 62900 Chromatographic Methods of Analysis (3 cr.) P: C410 or equivalent or consent of instructor. Principles and practice of modern gas and liquid chromatography and capillary electrophoresis are developed from an integrated point of view. Emphasis is placed both on theory and on features useful for practical analytical separations.
- CHEM 63400 Biochemistry: Structural Aspects (3 cr.) P: C311, C342, C361, and C362 or equivalent. Chemistry of materials of biochemical interest: carbohydrates, lipids, proteins, amino acids, nucleic acids, porphyrins, biochemistry of blood.
- CHEM 63600 Biochemical Mechanisms (3 cr.) P: one year of physical chemistry and CHEM 65100. The chemical basis of enzymatic catalysis with particular emphasis on catalytic interactions important in aqueous media.
- CHEM 64100 Advanced Inorganic Chemistry (3 cr.) P: C430 or 54200 or equivalent or consent of instructor. Applications of symmetry and group theory to structure, bonding and spectral properties of inorganic compounds. Advanced topics in main group and transition element chemistry including determination of structure from physical and spectroscopic properties, bonding in coordination, and organometallic compounds and inorganic reaction mechanisms.
- CHEM 65100 Advanced Organic Chemistry (3 cr.) P: C342 or equivalent. Modern structural organic chemistry. Introduction to bonding theory, stereochemistry, and computational chemistry.
- CHEM 65200 Synthetic Organic Chemistry (3 cr.) P: 65100 or 65700. An advanced treatment of methods for preparing major types of organic functionalities and bonds, stressing stereo chemical and radiochemical control, and employing mechanistic organic chemistry for understanding choice of reagents and reactions conditions
- CHEM 65700 Reaction Mechanisms (3 cr.) P: C342 or equivalent or consent of instructor. Modern structural organic chemistry, introduction to physical organic chemistry, mechanisms of representative reactions, and methods used for understanding reactivity in organic transformations.
- CHEM 67200 Quantum Chemistry (3 cr.) P: one year of physical chemistry. Basic principles of classical and quantum mechanics, approximation methods, atomic structure, spectroscopy, application of group theory, and theory of molecular bonding.
- CHEM 67500 Chemical Kinetics (2-3 cr.) P: one year of physical chemistry. Experimental and theoretical considerations of chemical reaction rates and mechanisms.
- CHEM 68200 Statistical Thermodynamics (3 cr.) P: C362 or equivalent. Application of statistical mechanics to the description of imperfect gases, liquids, and solutions, to order-disorder phenomena in solids and surfaces; Monte Carlo techniques and molecular dynamics.
- CHEM 69600 Special Topics in Chemistry: Analytical Spectroscopy (1-3 cr.) P: Bachelor of Science in chemistry from an accredited institution or consent of instructor. Survey of modern techniques, applications of spectroscopy, and imaging in analytical chemistry.
- CHEM 69600 Special Topics in Chemistry: Applied Computational Chemistry and Molecular Modeling (1-3 cr.) Applied computational techniques that are widely used in the chemical and pharmaceutical industry, including computational chemistry, molecular modeling, and computer-aided synthesis.
- CHEM 69600 Special Topics in Chemistry: Electroanalytical Chemistry (3 cr.) Principles of modern methods of electroanalytical chemistry and quantitative applications to electrode reaction mechanisms and analytical determinations.
- CHEM 69600 Special Topics in Chemistry: Medicinal Chemistry (1-3 cr.) The application of basic concepts of organic chemistry, biochemistry, and pharmacology to the design of organic medicinal agents as well as recent advances in synthesis and evaluation of pharmaceuticals.
- CHEM 69600 Special Topics in Chemistry: Organometallics in Organic Synthesis (1-3 cr.) Recent developments in the use of transition metals in synthetic organic methodology. Emphasis is placed on applications of methods in the synthesis of complex organic molecules.
- CHEM 69600 Special Topics in Chemistry: Protein Structure and Function (1-3 cr.) Physical forces stabilizing protein structure; protein folding. Essential features of macromolecular interactions. Introduction to enzyme kinetics and chemical mechanism in enzyme reactions.
- CHEM 69600 Special Topics in Chemistry: Group Theory in Chemistry (1-3 cr.) This course is on molecular symmetry and how we obtain information about the quantum states of molecules through application of group theoretical techniques related to the symmetries of molecules.
- CHEM 69600 Special Topics in Chemistry: Solid-Phase Synthesis and Combinatorial Chemistry: Theory and Practice (1-3 cr.) This course will explore how the tools of solid-phase synthesis and combinatorial chemistry are being used to solve a wide variety of problems requiring chemical solutions. Examples range from medicinal chemistry and drug discovery to new catalyst creation, from new "chiral selectors" to new biochemical probes. The course will focus on the rationale for employing a combinatorial approach in chemical discovery. It will teach the basics of solid-phase organic chemistry, and the methodology, equipment, and analytical technology employed to use it as a tool to rapidly and effectively carry out a combinatorial approach to problem solving.
- CHEM 69600 Special Topics In Chemistry: Bioanalytical Chemistry (3 cr.) Modern techniques for the study of biological macromolecules, such as protein and peptides, carbohydrates, DNA, RNA, and lipids, including (1) spectroscopy (UV-Vis, Raman, NMR, mass spectrometry, and light scattering); (2) bioseparations (chromatography, electrophoresis, and microdialysis); (3) electrochemistry (sensors, electron transfer, and LCEC); and (4) miscellaneous topics (amino acid analysis, sequencing, microcalorimetry, and immunochemistry).
- CHEM 69600 Special Topics in Chemistry: Biochemistry-Dynamic Aspects (1-3 cr.) Mechanisms of biological catalysis, metabolism, biosynthesis, regulation of genetic information, and molecular biology.
- CHEM 69600 Special Topics in Chemistry: Bioelectrochemistry (1-3 cr.) Principles of electrochemical measurements including potentiometry, amperometry, and linear sweep and cyclic voltammetry and application to the study and utilization of biological molecules. Topics covered include redox transformations in biological systems, electron transfer between electrodes and biological molecules, and electrochemical sensors for detection and quantitation of biological analytes.
- CHEM 69600 Special Topics in Chemistry: Bioinorganic Chemistry (1-3 cr.) A study of the occurrence, properties, and mechanistic roles of transition and main group elements in biological processes including photosynthesis, oxygen evolution, respiration, nitrogen fixation, metabolic detoxification, and electron transfer.
- CHEM 69600 Special Topics in Chemistry: Bioorganic Chemistry (1-3 cr.) Structure and reactivity of biological macromolecules, such as proteins, enzymes, and nucleic acids, and their relevance to bioorganic chemistry. Current experimental studies of enzymes, nucleic acids, and model systems.
- CHEM 69600 Special Topics in Chemistry: Biomaterials (1-3 cr.) Introduction to the field of biomaterials science including chemistry, physics, and engineering of biomaterials; biological and biochemical aspects of biomaterials; and biomaterials in medicine.
- CHEM 69600 Special Topics in Chemistry: Biophysical Chemistry (1-3 cr.) The study of structure and properties of biologically important macromolecules in solution using physical techniques, with special emphasis on optical, fluorescence, and magnetic resonance spectroscopy to describe protein conformation, denaturation, catalytic center structure, thermodynamics of ligand binding, time-dependent processes, and membrane properties.
- CHEM 69600 Special Topics in Chemistry: Chemical Information Technology (1-3 cr.) Overview of chemical informatics techniques, including chemical information and data systems, chemical structure and data representation and search systems, and bioinformatics techniques.
- CSCI 50200 Compiling and Programming Systems (3 cr.) P: 30000. R: 47000. Fall. Basic principles of compilers and compiler design; control of translation, loading, and execution; symbolic coding systems; lexical and syntactic analysis; design and operation of assemblers and macroprocessors; and design of interpretive systems. Students are expected to complete a large programming project as part of the course.
- CSCI 50300 Operating Systems (3 cr.) P: 40300. Spring. Basic principles of operating systems: addressing modes, indexing, relative addressing, indirect addressing, stack maintenance; implementation of multitask systems; control and coordination of tasks, deadlocks, synchronization, and mutual exclusion; storage management, segmentation, paging, virtual memory, protection, sharing, and access control; file systems; resource management; and evaluation and prediction of performance.
- CSCI 50400 Concepts in Computer Organization (3 cr.) P: 40200.The fundamentals of computer hardware for computer scientists. An overview of the organization of modern computers, ranging from sequential to advanced machines. CISC, RISC, and vector processors; multiprocessors; virtual storage, hierarchical memory; interaction with O/S; connection models; high-level programming support; and cost/performance analysis.
- CSCI 50600 Management of the Software Development Process (3 cr.) A survey of the fundamental principles and concepts of managing a software project. Topics include life cycle models, standards and goals, cost estimation, risk analysis, tool use, component reuse, traceability, metrics, and process control and improvement. Students are required to apply management concepts using a project-based approach.
- CSCI 50700 Object-Oriented Design and Programming (3 cr.) An advanced exploration of the object-oriented model and programming. Topics range from a review of the object model to advanced concepts such as abstraction mechanisms, standard library/packages, OO design using an OO language, and the syntax and the semantics of constructs.
- CSCI 51200 Numerical Methods for Engineers and Scientists (3 cr.) P: MATH 35100 or MATH 51100; MATH 51000; and knowledge of programming. Not open to students with credit in 41400. Not normally accepted for graduate credit in computer science programs. A survey of the useful methods of computation. Solution of nonlinear equations and systems of nonlinear equations. Numerical methods for systems of linear equations. Approximate differentiation and integration. Numerical solution of ordinary differential equations. Introduction to partial differential equations and elementary approximation methods.
- CSCI 51400 Numerical Analysis (3 cr.) P: 41400 or equivalent. Iterative methods for solving nonlinear equations, linear difference equations, applications to solution of polynomial equations, differentiation and integration formulas, numerical solution of ordinary differential equations, and round-off error bounds.
- CSCI 51500 Numerical Analysis of Linear Systems (3 cr.) P: knowledge of programming, and MATH 35100 or MATH 51100. Computational aspects of linear algebra; linear equations and matrices; direct and iterative methods; eigenvalues and eigenvectors of matrices; error analysis.
- CSCI 51600 Computational Methods in Applied Mathematics (3 cr.) P: 26500 and MATH 51000 or consent of instructor. A study of techniques such as direct integration, shooting, finite difference, finite elements, method of weighted residuals, and methods of characteristics for solving problems in fluid mechanics, solid mechanics, dynamics, and other fields of applied mathematics.
- CSCI 52000 Computational Methods in Analysis (3 cr.) P: 23000 or equivalent, and MATH 35100 or MATH 51100. A treatment of numerical algorithms for solving classical problems in real analysis with primary emphasis on linear and nonlinear systems of equations and on optimization problems; the writing, testing, and comparison of numerical software for solving such problems; and a discussion of the characteristics of quality software for implementing these algorithms.
- CSCI 52600 Information Security (3 cr.) Basic notions of confidentiality, integrity, availability; authentication and protection models; security kernels; secure programming; audit; intrusion detection/response; operational security issues; personal security; policy formation/enforcement; access controls; information flow; legal/social issues; identification and authentication in local and distributed systems; classification and trust modeling; risk assessment.
- CSCI 53600 Data Communication and Computer Networks (3 cr.) P: 40200. Data communications: communication hardware technologies including local area and long-haul network hardware, circuit and packet switching, interfaces between computer and network hardware, and performance issues. Network architecture: protocol software and conceptual layering, reliable delivery over an unreliable channel, transport protocols, virtual circuits, datagrams, Internet working as a fundamental design concept, the client-server paradigm, naming and name binding, name servers, addressing and address resolution, routing algorithms, congestion and flow control techniques, network file systems, distribution of computation, and DARPA Internet protocols (TCP/IP) as examples of protocol organization.
- CSCI 53700 Introduction to Distributed Computing (3 cr.) P: 50300 and 53600. Introduction to the principles and methods in the design of distributed computing systems. It covers the fundamentals of distributed computing from four perspectives: underlying communication media, protocols and their implications; operating system issues; high-level language constructs; and distributed algorithms.
- CSCI 53800 The Design of Interactive Systems (3 cr.) Fundamental concepts and tools employed in designing the interaction between humans and machines and the mediating interfaces. Topics include: design problem, interface design concepts, experimental design and analysis, cognitive and predictive models, the design project, case studies, and applications.
- CSCI 53900 Computing with Distributed Objects (3 cr.) An introductory treatment of the distributed-object model and programming. The topics range from a review of the distributed and object models of computation to advanced concepts such as remote method invocations, object brokers, object services, open systems, and future trends for distributed-object systems.
- CSCI 54100 Database Systems (3 cr.) P: 44300 or equivalent. Spring. Fundamentals for the logical design of database systems. The entity-relationship model, semantic model, relational model, hierarchical model, network model. Implementations of the models. Design theory for relational databases. Design of query languages and the use of semantics for query optimization. Design and verification of integrity assertions, and security. Introduction to intelligent query processing and database machines.
- CSCI 54300 Introduction to Simulation and Modeling of Computer Systems (3 cr.) P: 26500 and STAT 51100 or equivalent. Simulation: discrete event simulation, process-oriented simulation, generating random numbers, simulation languages, simulation examples of complex systems. Nondeterministic models: random variables, Poisson process, moment generating functions, statistical inference, and data analysis. Modeling: elementary queuing models, network of queues, and applications to performance evaluation of computer systems.
- CSCI 54700 Information Storage and Retrieval and Natural Language Processing (3 cr.) P: 54100. Complex data structures of fields within records, as well as clustered, multilist, and inverted files; key decoding by tree and randomized techniques; overall techniques of classical document retrieval systems, e.g., the MEDLARS and NASA systems; overall techniques of automatic document retrieval systems, e.g., TIP and SMART, the internal structure of SMART; question answering systems; and natural language translation.
- CSCI 54800 Introduction to Bioinformatics (3 cr.) P: 34000, BIOL K483, CHEM C483, or MATH 51100. Analysis of biological data employing various computational methods to obtain useful information in the emerging area of bioinformatics. Topics include structures, functions and evolution of proteins and nucleic acids, retrieval and interpretation of bioinformation from the Internet, learning principles, algorithms and software for sequence alignment, similarity search of sequence databases, estimation of phylogenetic trees, structural prediction, and functional inference.
- CSCI 54900 Intelligent Systems (3 cr.) This course will discuss problems in the area of intelligent systems. Topics include the formalisms within which these problems are studied, the computational methods that have been proposed for their solution, and the real-world technological systems to which these methods have been applied.
- CSCI 55000 Computer Graphics (3 cr.) An introduction to computer graphics. Topics include the concepts, principles, algorithms, and programming techniques in 3D interactive computer graphics. Emphasis is on the development and applications of 3D graphic algorithms and methods.
- CSCI 55200 Advanced Graphics and Visualization (3 cr.) P: 55000. An introduction to data visualization methods and tools, and related graphics techniques. Students will explore a variety of data representation and modeling techniques, their corresponding visualization algorithms, and practical visualization applications in scientific, engineering, and biomedical fields.
- CSCI 55500 Cryptography (3 cr.) P: MATH 351, CS 251, CS 381, and CS 426 or equivalent. Concepts and principles of cryptography and data security. Cryptography (secret codes): principles of secrecy systems; classical cryptographic systems, privacy enhanced email; digital signatures. Proprietary software protection; information theory and number theory; complexity bounds on encryption; key escrow; traffic analysis; attacks against encryption; basic legal issues; e-commerce; the role of protocols.
- CSCI 55600 Fault-Tolerant Computing (3 cr.) P: 36200. Concepts of fault-tolerant computing; phases of fault-tolerance; applications to commercial, communication, and aerospace systems; fault-tolerance in multi-processor systems; diagnosis techniques; software fault-tolerance.
- CSCI 56500 Programming Languages (3 cr.) P: 30000. R: 47000. Fall. An exploration of modern or unconventional concepts of programming languages, their semantics, and their implementations; abstract data types; axiomatic semantics using Hoare's logic and Dijkstra's predicate transformers; denotational semantics; functional, object-oriented, and logic programming; concurrency and Owicki-Gries theory. Example languages include ML, Ada, Oberon, LISP, PROLOG, and CSP.
- CSCI 57300 Data Mining (3 cr.) P: STAT 511 or equivalent, CS 381 or equivalent, or permission of the instructor. Data Mining has emerged at the confluence of artificial intelligence, statistics, and databases as a technique for automatically discovering summary knowledge in large datasets. This course introduces students to the process and main techniques in data mining, including classification, clustering, and pattern mining approaches. Data mining systems and applications will also be covered, along with selected topics in current research.
- CSCI 58000 Algorithm Design, Analysis, and Implementation (3 cr.) P: 46300 and 47000. Basic techniques for designing and analyzing algorithms: dynamic programming, divide-and-conquer, balancing, upper and lower bounds on time and space costs, worst case and expected cost measures. A selection of applications such as disjoint set union/find, graph algorithms, search trees, pattern matching. The polynomial complexity classes P, NP, and co-NP; intractable problems.
- CSCI 58200 Automata and Formal Languages (3 cr.) P: 47000. Spring. Finite automata, regular expressions; push-down automata, context-free grammars; and languages and behaviors. Closure properties, pumping lemmas, and decision procedures. Deterministic context-free languages and LR(k) parsing; brief survey of the Chomsky hierarchy.
- CSCI 58500 Mathematical Logic I (3 cr.) Students should register for MATH 58500. P: MATH 35100. Formal theories for propositional and predicate calculus with study of models, completeness, and compactness. Formalization of elementary number theory; Turing machines, halting problem, and the undecidability of arithmetic.
- CSCI 59000 Topics in Computer Science (3 cr.) Fall, spring. Directed study for students who wish to undertake individual reading and study on approved topics.
- CSCI 60300 Advanced Topics in Distributed Systems (3 cr.) P: CS 503. R: CS 542. Design and control of distributed computing systems (operating systems and database systems). Topics include principles of namings and location, atomicity, resources sharing, concurrency control and other synchronization, deadlock detection and avoidance, security, distributed data access and control, integration of operating systems and computer networks, distributed systems design, consistency control, and fault tolerance.
- CSCI 61400 Numerical Solution of Ordinary Differential Equations (3 cr.) P: 51400. Numerical solution of initial-value problems by Runge-Kutta methods, general one-step methods, and multistep methods. Analysis of truncation error, discretization error, and rounding error. Stability of multistep methods. Numerical solution of boundary-value and eigenvalue problems by initial-value techniques and finite difference methods.
- CSCI 61500 Numerical Solution of Partial Differential Equations (3 cr.) P: 51500 and MATH 52300. The numerical solution of hyperbolic, parabolic, and elliptic equations by finite difference methods; iterative methods (Gauss-Seidel, overrelaxation, alternating direction) for solving elliptic equations; discretization and round-off errors; explicit and implicit methods for parabolic and hyperbolic systems; the method of characteristics; the concept of stability for initial value problems.
- CSCI 66000 Design of Translating Systems (3 cr.) P: 50200. Systems design of higher-level programming languages and their processors; symbol tables, lexical scan, syntax scan, object code generation and optimization; boot-strapping techniques, higher-level translators, self-compilers, and decompilers; and heuristic generators.
- CSCI 66100 Formal Compiling Methods (3 cr.) P: 50200. Application of concepts developed in formal language and automata theory to the design of programming languages and their processors. Models of syntactic analysis, including canonical precedence, LR(k) and LL(k) parsing methods and variants; efficiency of each. Synthesis techniques, including symbol tables, storage administration, parameter mechanisms, garbage collection; optimization considerations. Models of synthesis, including level, affix, attributed grammars; prospects of fully automating compiler design. Applicative vs. procedural languages and their implementations based on semantic definition of a language (LISP, Lucid) and on proof-like techniques (PROLOG, equational systems); merits of such approaches.
- CSCI 66200 Pattern Recognition and Decision-Making Processes (3 cr.) (Pending) P: EE 302 or equivalent. Introduction to basic concepts and various approaches to pattern recognition and decision-making processes. The topics include various classifier designs, evaluation of classifiability, learning machines, feature extraction, and modeling.
- CSCI 69500 M.S. Project (1-9 cr.) Maximum of 6 credit hours apply to degree P: consent of instructor. The student integrates and applies the knowledge gained from the formal course work to formulate and execute a solution to a problem of practical importance. The faculty advisor and the sponsoring organization mentor, if applicable, provide guidance and evaluation.
- CSCI 69800 Research M.S. Thesis (1-18 cr.) P: Consent of instructor. Formal research on M.S. Thesis supervised by the faculty advisor.
- CSCI 69900 Research Ph.D. Thesis (1-9 cr.) P: Consent of instructor. Formal research on Ph.D. Thesis supervised by the faculty advisor.
- CSCI-C 591 Research Seminar (0-1 cr.) First-year seminar in research methods and current research directions of the faculty. Repeatable.
- FIS 50500 Seminar in Forensic Science (3 cr.) P: Open only to majors admitted to B.S. or M.S. program. Fall. Development of Forensic Science. Ethics and quality assurance and control. Laboratory management, use of scientific evidence in criminal justice system.
- FIS 50600 Forensic Microscopy (3 cr.) Learn techniques in the analysis of forensic microscopic evidence. Topics include property of light, compound microscopy, micrometry, refraction, dispersion, stereomicroscopy, sample preparation, polarizing light microscopy, and instrumental microscopy.
- FIS 51100 Forensic Chemistry I (4 cr.) P or C: 50500. Fall. Open only to majors admitted into the B.S. or M.S. program. This course covers major techniques used in the analysis of chemical evidence commonly encountered at crime scenes. Various instrumental methods of analysis will be used. There are lecture and laboratory components for each type of evidence covered.
- FIS 51200 Forensic Chemistry II (4 cr.) P or C: 50500; P: 51100. Spring. Open only to majors admitted into the B.S. or M.S. program. Continuation of 51100. This course covers major techniques used in the analysis of chemical evidence commonly encountered at crime scenes. Various instrumental methods of analysis will be used. There are lecture and laboratory components for each type of evidence covered.
- FIS 51500 Forensic Science and the Law (3 cr.) P: Open only to students enrolled in the Master of Science in Forensic Science program or students enrolled in the IU School of Law or with consent of the instructor. Fall. Application of various laws and rules of evidence to the forensic sciences and how the admission of evidence derived from forensic sciences can impact the administration of justice in the United States. Topics include preparation for testimony, expert testimony, subpoenas, basic judicial processes, admissibility of scientific evidence.
- FIS 52100 Forensic Biology I (4 cr.) P or C: FIS 50500. Fall. Open only to majors in B.S. or M.S. program. Forensic identification of biological evidence including blood and other body fluids. Blood spatter analysis.
- FIS 52200 Forensic Biology II (4 cr.) P or C: FIS 50500, 52100. Spring. Open only to majors in B.S. or M.S. program. Continuation of FIS 52100. Extraction and analysis of DNA evidence by PCR based methods including STR and SNP. Determination of sex. Interpretation of DNA evidence. Quality assurance and control.
- FIS 53100 Forensic Toxicology I (pending approval) (4 cr.) P or C: 50500; P: 51100. Fall. Open only to FIS majors admitted into the B.S. or M.S. program. Analysis of forensic chemical and trace evidence. Includes hairs and fibers, paints and coatings, glass and soil, inks, fingerprints, and fire and explosive residues.
- FIS 53200 Forensic Toxicology II (pending approval) (4 cr.) P or C: 50500; P: 53100. Spring. Open only to FIS majors admitted into the B.S. or M.S. program. Continuation of FIS 53100. The course covers the issue of ethyl alcohol intoxication and drunk driving laws and the analysis of alcohol. In addition, illicit drugs and their fate in the body will be surveyed, including methods of analysis. There will be lectures and laboratories.
- FIS 59000 Special Topics: Forensic and Investigative Sciences (3 cr.) Lecture or lecture/lab courses offered on topic areas that are not part of the regular M.S. curriculum. These topics may include: firearms and tool marks, questioned documents, forensic pathology, fingerprints, and others. They are electives in the M.S. in Forensic Science Progra
- FIS 69500 Seminar (0-1 cr.) Fall, Spring. Group meetings for review and discussion of current topics in forensic and investigative sciences. All graduate students are required to attend.
- FIS 69600 Special Topics in Forensic and Investigative Sciences (pending approval) (1-4 cr.) P or C: FIS 50500 and consent of instructor. Fall, Spring. Selected research and topics of current interest to the field of forensic and investigative sciences. May be repeated for credit provided that the topic is different.
- FIS 69800 Research M.S. Thesis (pending approval) (1-10 cr.) P: Consent of instructor. Credit hours arranged.
- GEOL-G 502 Trace Element and Isotope Geochemistry (3 cr.) P: CHEM C360 or C361 or GEOL G406, or consent of instructor. Principles governing the distributions of trace elements, radioisotopes, and stable isotopes in igneous, metamorphic, or sedimentary environments. Emphasis on applications to petrology and geochronology.
- GEOL-G 525 Glacial Geology (3 cr.) P: G415 or consent of instructor. Formation, dynamics, and regimen of glaciers. Erosional and depositional processes and landforms. Glaciation of North America with emphasis on stratigraphy, soils, climates, and physical changes resulting from glacial processes and environments. Field investigations and a student research project required.
- GEOL-G 527 Geological Oceanography (3 cr.) P: graduate standing, G334, or consent of instructor. Geological features and processes operating in the oceans; continental shelf, slope and ocean-basin geomorphology, sedimentology, structure, and composition; origin and geologic history of seawater and ocean basins; tools applied to marine geological studies.
- GEOL-G 535 Quaternary Geology (3 cr.) P: G415 or consent of instructor. Characteristics, distribution, and origin of Pleistocene and recent deposits, stratigraphy and chronology; formation of associated landforms, landscapes, paleosols, and soils; Quaternary environments and paleoclimatic interpretation.
- GEOL-G 545 Applied Analytical Techniques in Geology (3 cr.) P: G221, CHEM C105-C106, and consent of instructor. Principles of advanced analytical techniques, including X-ray analysis, electron beam imaging and analysis, and mass spectrometry, with applications in geosciences. Lectures on theory followed by laboratory exercises. Students will complete individual or collaborative research projects.
- GEOL-G 546 Planetary Remote Sensing (3 cr.) P: Previous course work in remote sensing, or consent of instructor. Application of multi-spectral data for exploration and mapping of planetary surfaces.
- GEOL-G 550 Surface-Water Hydrology (3 cr.) P: G430 or G451. In-depth analysis of surface water components of hydrologic cycle: hydrometeorology, evaporation/transpiration, rainfall-runoff relationships, open-channel flow, flood hydrology, and statistical and probabilistic methods in hydrology.
- GEOL-G 551 Advanced Hydrogeology (3 cr.) P: G430 or G451. Advanced treatment of concepts fundamental to subsurface hydrologic processes. Applications to groundwater resource development and environmental protection such as aquifer mechanics and well hydraulics, heterogeneity and anisotropy, ground water and surface water interactions, unsaturated flow, and tracer and contaminant transport.
- GEOL-G 585 Environmental Geochemistry (3 cr.) P: G406 or consent of instructor. Aquatic and environmental geochemistry, including freshwater and marine systems, natural and human-induced changes to geochemical systems, and the geochemical record of paleoceanographic and paleoclimatic variations.
- GEOL-G 595 Data Analysis Techniques in Geoscience (3 cr.) P: STAT 30100 and CSCI N207, or equivalent. Application of statistical and numerical analysis techniques to geoscience data, including sampling methods, confidence intervals, least squares methods, correlation, time series analysis, and multivariate techniques. Emphasis on using a computer to solve geoscience problems.
- GEOL-G 596 Topics in Applied Environmental Geology (3 cr.) P: consent of instructor. Application of geologic principles to common environmental problems. Topics covered include waste site assessment, flood hazard analysis and mitigation, slope stability, and hydrogeology. Application of principles to problems pertaining to urban planning, earthquake-resistant design, and waste site/landfill development.
- GEOL-G 621 Modeling Hydrological Systems (3 cr.) P: G430 or G451 and consent of instructor. Introduction to groundwater flow and solute transport modeling. Includes development of equations describing ground water flow and applied ground water/contaminant transport modeling, using a variety of current software packages.
- GEOL-G 635 Soil Geomorphology (3 cr.) P: G415. Application of geomorphic principles in evaluation of weathering and soil formation; systems analysis of soil-landscape models; paleogeomorphology and paleopedology. Lectures and discussion; field and laboratory problems.
- GEOL-G 640 Fluvial Geomorphology (3 cr.) P: G415 or consent of instructor. Survey of fluvial processes including sediment transport, bed and bank erosion, and river metamorphosis. Examination of the controls on channel form. Analysis of landform genesis with an emphasis on feature sedimentology and stratigraphy. Application of fluvial geomorphic principles to land management and restoration of riparian ecosystems.
- GEOL-G 645 Carbonate Sedimentology (3 cr.) P: G334 or consent of instructor. Spring. Course focuses on origin and generation of carbonate grains, description of modern carbonate depositional environments, interpretation of ancient limestone and dolomite sequences, and carbonate diagenesis.
- GEOL-G 700 Geologic Problems (1-5 cr.) P: consent of faculty mentor. Consideration of special geologic problems.
- MATH 50400 Real Analysis (3 cr.)
P: 444 or consent of instructor. Completeness of the real number system, basic topological properties, compactness, sequences and series, absolute convergence of series, rearrangement of series, properties of continuous functions, the Riemann-Stieltjes integral, sequences and series of functions, uniform convergence, the Stone-Weierstrass theorem, equicontinuity, and the Arzela-Ascoli theorem.

- MATH 50500 Intermediate Abstract Algebra (3 cr.)
P: 453 or consent of instructor. Group theory with emphasis on concrete examples and applications. Field theory: ruler and compass constructions, Galois theory, and solvability of equations by radicals.

- MATH 51000 Vector Calculus (3 cr.)
P: 261. Spring, summer. Calculus of functions of several variables and of vector fields in orthogonal coordinate systems. Optimization problems, implicit function theorem, Green's theorem, Stokes's theorem, divergence theorems, and applications to engineering and the physical sciences.

- MATH 51100 Linear Algebra with Applications (3 cr.)
P: 261. Fall, spring, summer. Not open to students with credit in 351. Matrices, rank and inverse of a matrix, decomposition theorems, eigenvectors, unitary and similarity transformations on matrices.

- MATH 51400 Numerical Analysis (Pending Approval) (3 cr.)
P: MATH 26600 and MATH 35100 or MATH 51100, or consent of instructor and familiarity with one of the high-level programming languages: Fortran 77/90/95, C, C++, Matlab. This course is pending. Numerical Analysis is concerned with finding numerical solutions to problems, especially those for which analytical solutions do not exist or are not readily obtainable. This course provides an introduction to the subject and treats the topics of approximating functions by polynomials, solving linear systems of equations, and of solving nonlinear equations. These topics are of great practical importance in science, engineering and finance, and also have intrinsic mathematical interest. The course concentrates on theoretical analysis and on the development of practical algorighms.

- MATH 51800 Advanced Discrete Mathematics (3 cr.)
P: 266 or consent of instructor. This course covers mathematics useful in analyzing computer algorithms. Topics include recurrence relations, evaluation of sums, integer functions, elementary number theory, binomial coefficients, generating functions, discrete probability, and asymptotic methods.

- MATH 52000 Boundary Value Problems of Differential Equations (3 cr.)
P: 261 and 266. Sturm-Liouville theory, singular boundary conditions, orthogonal expansions, separation of variables in partial differential equations, and spherical harmonics.

- MATH 52200 Qualitative Theory of Differential Equations (3 cr.)
P: 266 and 351. Nonlinear ODEs, critical points, stability and bifurcations, perturbations, averaging, nonlinear oscillations and chaos, and Hamiltonian systems.

- MATH 52300 Introduction to Partial Differential Equations (3 cr.)
P: 266 and 510, or consent of instructor. Method of characteristics for quasilinear first-order equations, complete integral, Cauchy-Kowalewsky theory, classification of second-order equations in two variables, canonical forms, difference methods of hyperbolic and parabolic equations, and Poisson integral method for elliptic equations.

- MATH 52500 Introduction to Complex Analysis (3 cr.)
P: 261 and 266. Complex numbers and complex-valued functions; differentiation of complex functions; power series, uniform convergence; integration, contour integrals; and elementary conformal mapping.

- MATH 52600 Principles of Mathematical Modeling (3 cr.)
P: 266 and 510, or consent of instructor. Ordinary and partial differential equations of physical problems, simplification, dimensional analysis, scaling, regular and singular perturbation theory, variational formulation of physical problems, continuum mechanics, and fluid flow.

- MATH 52700 Advanced Mathematics for Engineering and Physics I (3 cr.)
P: 266 and 351 or 511. Linear algebra, systems of ordinary differential equations, Laplace transforms, Fourier series and transforms, and partial differential equations.

- MATH 52800 Advanced Mathematics for Engineering and Physics II (3 cr.)
P: 537 or consent of instructor. Divergence theorem, Stokes's Theorem, complex variables, contour integration, calculus of residues and applications, conformal mapping, and potential theory.

- MATH 53000 Functions of a Complex Variable I (3 cr.)
P or C: 544. Complex numbers, holomorphic functions, harmonic functions, and linear transformations. Power series, elementary functions, Riemann surfaces, contour integration, Cauchy's theorem, Taylor and Laurent series, and residues. Maximum and argument principles. Special topics.

- MATH 53100 Functions of a Complex Variable II (3 cr.)
P: 530. Compactness and convergence in the space of analytic functions, Riemann mapping theorem, Weierstrass factorization theorem, Runge's theorem, Mittag-Leffler theorem, analytic continuation and Riemann surfaces, and Picard theorems.

- MATH 53500 Theoretical Mechanics (3 cr.)
P: 266 and PHYS 152. Kinematics and dynamics of systems of particles and of rigid bodies, Lagrange and Hamilton-Jacobi equations, oscillations about equilibrium, Hamiltonian systems, integral invariants, and transformation theory.

- MATH 53600 Perturbation and Asymptotic Analysis (3 cr.)
P: 525 or 530, and 523. Matched asymptotic expansions, inner and outer expansions, strained coordinates and multiple scales, and turning point analysis.

- MATH 53700 Applied Mathematics for Scientists and Engineers I (3 cr.)
P: 261, 266, and consent of instructor. Covers theories, techniques, and applications of partial differential equations, Fourier transforms, and Laplace transforms. Overall emphasis is on applications to physical problems.

- MATH 54400 Real Analysis and Measure Theory (3 cr.)
P: 444 or consent of instructor. Algebra of sets, real number system, Lebesgue measure, measurable functions, Lebesgue integration, differentiation, absolute continuity, Banach spaces, metric spaces, general measure and integration theory, and Riesz representation theorem.

- MATH 54500 Principles of Analysis II (3 cr.)
P: 544. Continues the study of measure theory begun in 544.

- MATH 54600 Introduction to Functional Analysis (3 cr.)
P: 545. By arrangement. Banach spaces, Hahn-Banach theorem, uniform boundedness principle, closed graph theorem, open mapping theorem, weak topology, and Hilbert spaces.

- MATH 54700 Analysis for Teachers I (3 cr.)
P: 261. Set theory, logic, relations, functions, Cauchy's inequality, metric spaces, neighborhoods, and Cauchy sequence.

- MATH 54800 Analysis for Teachers II (3 cr.)
P: 547. Functions on a metric space, continuity, uniform continuity, derivative, chain rule, Riemann integral, fundamental theorem of calculus, and double integrals.

- MATH 54900 Applied Mathematics for Secondary School Teachers (3 cr.)
P: 266 and 351. Summer, odd-numbered years. Applications of mathematics to problems in the physical sciences, social sciences, and the arts. Content varies. May be repeated for credit with the consent of the instructor.

- MATH 55000 Algebra for Teachers I (3 cr.)
P: 351. Definitions and elementary properties of groups, rings, integral domains, and fields. Intended for secondary school teachers.

- MATH 55100 Algebra for Teachers II (3 cr.)
P: 550. Polynomial rings, fields, vector spaces, and matrices.

- MATH 55200 Applied Computational Methods II (3 cr.)
P: 559 and consent of instructor. The first part of the course focuses on numerical integration techniques and methods for ODEs. The second part concentrates on numerical methods for PDEs based on finite difference techniques with brief surveys of finite element and spectral methods.

- MATH 55300 Introduction to Abstract Algebra (3 cr.) P: 45300 or consent of instructor. Group theory: finite abelian groups, symmetric groups, Sylow theorems, solvable groups, Jordan-Holder theorem. Ring theory: prime and maximal ideals, unique factorization rings, principal ideal domains, Euclidean rings, and factorization in polynomial and Euclidean rings. Field theory: finite fields, Galois theory, and solvability by radicals.
- MATH 55400 Linear Algebra (3 cr.)
P: 351. Review of basics: vector spaces, dimension, linear maps, matrices, determinants, and linear equations. Bilinear forms, inner product spaces, spectral theory, and eigenvalues. Modules over principal ideal domain, finitely generated abelian groups, and Jordan and rational canonical forms for a linear transformation.

- MATH 55900 Applied Computational Methods I (3 cr.)
P: 266 and 351 or 511. Computer arithmetic, interpolation methods, methods for nonlinear equations, methods for solving linear systems, special methods for special matrices, linear least square methods, methods for computing eigenvalues, iterative methods for linear systems; methods for systems of nonlinear equations.

- MATH 56100 Projective Geometry (3 cr.)
P: 351. Projective invariants, Desargues' theorem, cross-ratio, axiomatic foundation, duality, consistency, independence, coordinates, and conics.

- MATH 56200 Introduction to Differential Geometry and Topology (3 cr.) P: 351 and 445. Smooth manifolds, tangent vectors, inverse and implicit function theorems, submanifolds, vector fields, integral curves, differential forms, the exterior derivative, DeRham cohomology groups, surfaces in E3, Gaussian curvature, two-dimensional Riemannian geometry, and Gauss-Bonnet and Poincare theorems on vector fields.
- MATH 56300 Advanced Geometry (3 cr.)
P: 300 or consent of instructor. Topics in Euclidean and non-Euclidean geometry.

- MATH 56700 Dynamical Systems I (3 cr.)
P: 545, 571 Fundamental concepts and examples, one-dimensional systems, symbolic dynamics, topological entropy, hyperbolicity, structural stability, bifurcations, invariant measures, ergodicity.

- MATH 57100 Elementary Topology (3 cr.)
P: 444. Topological spaces, metric spaces, continuity, compactness, connectedness, separation axioms, nets, and function spaces.

- MATH 57200 Introduction to Algebraic Topology (3 cr.)
P: 571. Singular homology theory, Ellenberg-Steenrod axioms, simplicial and cell complexes, elementary homotopy theory, and Lefschetz fixed point theorem.

- MATH 57400 Mathematical Physics I (3 cr.)
P: 545 Topics in special functions, representation theory, spectral theory, modern differential geometry and topology, rigorous results in statistical physics.

- MATH 57800 Mathematical Modeling of Physical Systems I (3 cr.)
P: 266, PHYS 152, PHYS 251, and consent of instructor. Linear systems modeling, mass-spring-damper systems, free and forced vibrations, applications to automobile suspension, accelerometer, seismograph, etc., RLC circuits, passive and active filters, applications to crossover networks and equalizers, nonlinear systems, stability and bifurcation, dynamics of a nonlinear pendulum, van der Pol oscillator, chemical reactor, etc., introduction to chaotic dynamics, identifying chaos, chaos suppression and control, computer simulations, and laboratory experiments.

- MATH 58100 Introduction to Logic for Teachers (3 cr.)
P: 351. Not open to students with credit in 385. Logical connectives, rules of sentential inference, quantifiers, bound and free variables, rules of inference, interpretations and validity, theorems in group theory, and introduction to set theory.

- MATH 58300 History of Elementary Mathematics (3 cr.)
P: 261. A survey and treatment of the content of major developments of mathematics through the eighteenth century, with selected topics from more recent mathematics, including non-Euclidean geometry and the axiomatic method.

- MATH 58500 Mathematical Logic I (3 cr.)
P: 351. Formal theories for propositional and predicate calculus with study of models, completeness, and compactness. Formalization of elementary number theory; Turing machines, halting problem, and the undecidability of arithmetic.

- MATH 58700 General Set Theory (3 cr.)
P: 351. Informal axiomatization of set theory, cardinal numbers, countable sets, cardinal arithmetic, order types, well-ordered sets and ordinal numbers, axiom of choice and equivalences, paradoxes of intuitive set theory, and Zermelo-Fraenkel axioms.

- MATH 58800 Mathematical Modeling of Physical Systems II (3 cr.)
P: 578. Depending on the interests of the students, the content may vary from year to year. Emphasis will be on mathematical modeling of a variety of physical systems. Topics will be chosen from the volumes

*Mathematics in Industrial Problems*by Avner Friedman. Researchers from local industries will be invited to present real-world applications. Each student will undertake a project in consultation with one of the instructors or an industrial researcher. - MATH 59800 Topics in Mathematics (1-5 cr.)
By arrangement. Directed study and reports for students who wish to undertake individual reading and study on approved topics.

- MATH 61100 Methods of Applied Mathematics I (3 cr.)
P: consent of instructor. Introduction to Banach and Hilbert spaces, linear integral equations with Hilbert-Schmidt kernels, eigenfunction expansions, and Fourier transforms.

- MATH 61200 Methods of Applied Mathematics II (3 cr.)
P: 611. Continuation of theory of linear integral equations; Sturm-Liouville and Weyl theory for second-order differential operators, distributions in n dimensions, and Fourier transforms.

- MATH 62600 Mathematical Formulation of Physical Problems I (3 cr.)
P: graduate standing and consent of instructor. Topics to be chosen from the following: Tensor formulation of the field equations in continuum mechanics, fluid dynamics, hydrodynamic stability, wave propagation, and theoretical mechanics.

- MATH 62700 Mathematical Formulation of Physical Problems II (3 cr.)
P: 62600. Continuation of 62600.

- MATH 64200 Methods of Linear and Nonlinear Partial Differential Equations I (3 cr.)
P: 52000, 52300, and 61100. Topics from linear and nonlinear partial differential equations, varied from time to time.

- MATH 64600 Functional Analysis (3 cr.)
P: 546. Advanced topics in functional analysis, varying from year to year at the discretion of the instructor.

- MATH 67200 Algebraic Topology I (3 cr.)
P: 572. Continuation of 572; cohomology, homotopy groups, fibrations, and further topics.

- MATH 67300 Algebraic Topology II (3 cr.)
P: 672. continuation of 672, covering further advanced topics in algebraic and differential topology such as K-theory and characteristic classes.

- MATH 67400 Mathematical Physics II (3 cr.)
P: 574 Topics in mathematical physics. Continuation of MATH 574.

- PHYS 50100 Physical Science (3 cr.) Fall, Spring. Survey of the physical sciences with emphasis on methods of presentation appropriate to the elementary school. Graduate credit is extended only for elementary school teacher programs.
- PHYS 51000 Physical Mechanics (3 cr.) P: 31000 or equivalent, and courses in calculus and differential equations. Mechanics of particles, rigid bodies, and vibrating systems.
- PHYS 51500 Thermodynamics (3 cr.) P: 31000 and 33000 and a course in differential equations or advanced calculus. Equilibrium states, the concept of heat, and the laws of thermodynamics; the existence and properties of the entropy; different thermodynamic potentials and their uses; phase diagrams; introduction of statistical mechanics and its relation to thermodynamics; and treatment of ideal gases.
- PHYS 51700 Statistical Physics (3 cr.) P: 34200, 51000, and 51500 or equivalent. Laws of thermodynamics; Boltzmann and quantum statistical distributions, with applications to properties of gases, specific heats of solids, paramagnetism, black-body radiation, and Bose-Einstein condensation; Boltzmann transport equation and transport properties of gases; and Brownian motion and fluctuation phenomena.
- PHYS 52000 Mathematical Physics (3 cr.) P: 31000, 32200, 33000, or consent of instructor. Vectors and vector operators, tensors, infinite series, analytic functions and the calculus of residues, partial differential equations, and special functions of mathematical physics. When interests and preparation of students permit, calculus of variations and/or group theory are covered.
- PHYS 52200 Coherent Optics and Quantum Electronics (3 cr.) P: 33000, 44200, and 55000, or ME 58700. Recent experimental and theoretical developments in optics, emphasizing concepts of coherence. Fourier optics and the quantum theory of radiation. Applications to lasers and masers, nonlinear optics, holography, and quantum electronics.
- PHYS 53000 Electricity and Magnetism (3 cr.) P: 33000 or equivalent. Electrostatic problems; theory of dielectrics; theory of electric conduction; electromagnetic effects due to steady and changing currents; magnetic properties of matter; Maxwell's equations; and electromagnetic radiation.
- PHYS 53300 Principles of Magnetic Resonance (3 cr.) P: 55000 or equivalent. Magnetic resonance in bulk matter; classical and quantum descriptions, relaxation, CW and pulse experiments, interactions and Hamiltonians. Magnetic interactions between electrons and nuclei; nuclear quadrupole interaction, crystal field interactions, and effect of molecular motion. High-resolution NMR spectra; EPR of free-radical solutions; and powder patterns.
- PHYS 54500 Solid-State Physics (3 cr.) P: an undergraduate course in modern physics. Crystal structure; lattice vibrations; free electron theory of solids; band theory of solids; semiconductors; superconductivity; magnetism; and magnetic resonance.
- PHYS 55600 Introductory Nuclear Physics (3 cr.) P: 55000 or equivalent. Theory of relativity; brief survey of systematics of nuclei and elementary particles; structure of stable nuclei; radioactivity; interaction of nuclear radiation with matter; nuclear reactions; particle accelerators; nuclear instruments; fission; and nuclear reactors.
- PHYS 57000 Selected Topics in Physics (3 cr.) Specialized topics in physics selected from time to time.
- PHYS 60000 Methods of Theoretical Physics (3 cr.) P: graduate standing in physics or consent of instructor. 600 is designed to provide first-year physics graduate students with the mathematical background for subsequent studies of advanced mechanics, electrodynamics, and quantum theory. Topics include functions of a complex variable, ordinary and partial differential equations, eigenvalue problems, and orthogonal functions. Green's functions, matrix theory, and tensor analysis in three and four dimensions.
- PHYS 60100 Methods of Theoretical Physics II (3 cr.) P: 60000 or equivalent. A continuation of 60000.
- PHYS 61000 Advanced Theoretical Mechanics (3 cr.) P: 51000 or equivalent. Lagrangian and Hamiltonian mechanics; variational principles; canonical transformations; Hamilton-Jacobi theory; theory of small oscillations; and Lagrangian formulation for continuous systems and field.
- PHYS 61700 Statistical Mechanics (3 cr.) P: 66000 or equivalent. Classical and quantum statistical mechanics.
- PHYS 63000 Advanced Theory of Electricity and Magnetism (3 cr.) P: 53000 and 60000, or equivalent. The experimental origins of Maxwell's equations. Electrostatics and magnetostatics; solution of boundary value problems. Quasistatic currents. Electromagnetic energy and momentum and the Maxwell stress tensor. Foundations of optics. Radiation from antennae, multipole expansion; waveguides.
- PHYS 63100 Advanced Theory of Electricity and Magnetism (3 cr.) P: 63000 or equivalent. Covariant formulation of electrodynamics; Lienard-Wiechert potentials; radiation from accelerated particles; Cerenkov radiation; dynamics of relativistic particles; radiation damping; and introduction to magnetohydrodynamics.
- PHYS 63300 Advanced Topics in Magnetic Resonance (3 cr.) P: 53300 or consent of instructor. Rotation operators, coupling of angular momenta, Wigner-Eckhart theorem, and density matrix; theory of magnetic resonance, relaxation in liquids, chemical exchange, double resonance, cross-polarization, and magic angle spinning; two-dimensional NMR, correlation spectroscopy, and exchange and NOE spectroscopies; application to biological macromolecules; time domain EPR; and lineshape under slow motion.
- PHYS 66000 Quantum Mechanics I (3 cr.) P: 53000, 55000, 60000, and 61000, or equivalent. Origins of the quantum theory, the uncertainty and complementarity principles. The Schrodinger equation and its solutions for simple physical systems. Mathematical formulation of the quantum theory. Applications: simple harmonic oscillator, theory of angular momentum, and hydrogen atom. Time-independent and time-dependent perturbation theory. The Pauli exclusion principle. Spin of the electron. Elementary theory of scattering.
- PHYS 66100 Quantum Mechanics II (3 cr.) P: 60100, 63000, and 66000, or equivalent. Symmetry and conservation laws. The Klein-Gordon and Dirac equations. Interaction of radiation with matter. Applications of quantum mechanics to atomic structure. Scattering theory.
- PHYS 67000 Selected Topics in Physics (1-3 cr.) P: consent of instructor. Specialized topics in physics, varied from time to time.
- PHYS 68500 Physics Seminar (0-1 cr.) Offered on Pass/Fail basis only. May be repeated for credit. Weekly physics seminar presented by faculty and invited speakers from outside the department.
- PHYS 01000 Pre-Physics (3 cr.) P: MATH 15900, or MATH 15300 and 15400, or equivalent. Fall, Spring. For students not ready to take the algebra- and trigonometry-based courses in physics (21800 and P201). Basic concepts of physics. Methods of analyzing physics problems. Setting up equations for physics problems. Interpreting information in physics problems. Analyzing and presenting the results of laboratory measurements. Extensive drill in these topics.
- PSY 51800 Memory and Cognition (3 cr.) A graduate-level survey of theories and research concerned with the acquisition, retention, and retrieval of information. Topics include amnesia, eyewitness memory, forgetting, developmental trends in memory, related issues in attention, language processing, and problem solving.
- PSY 54000 History of Psychology (3 cr.) P: Nine (9) credit hours of psychology. A review of the philosophical, theoretical, and methodological issues that entered into the development of modern psychology. Emphasis on historical themes that continue to be active in the science and profession of psychology.
- PSY 56500 Interpersonal Relations (3 cr.) P: Nine (9) credit hours of psychology. Review of major current theoretical formulations of the interpersonal relationship, including a discussion of some of the more prominent research. Focus is primarily on two-person interpersonal relations.
- PSY 57000 Industrial Psychology (3 cr.) Survey of the applications of psychological principles and of research methodology to the various human problems in the industry, such as personnel selection and appraisal, the organizational and social context of human work, the job and work situation, human errors and accidents, and psychological aspects of consumer behavior.
- PSY 57200 Organizational Psychology (3 cr.) 572 Organizational Psychology (3 cr.) A survey of basic behavioral science research and thinking as these contribute to the understanding of individual, dyadic, group, intergroup, and other large organization behavioral phenomena. The topics covered include motivation, perception, attitudes and morale, communication, leadership, conflict, problem solving, behavior change, and organizational effectiveness.
- PSY 57400 Psychology of Industrial Training (3 cr.) P: Three (3) credit hours of psychology. Use of psychological measurement techniques in assessing training needs and evaluating training effectiveness and the application of learning research and theory to industrial training.
- PSY 59000 Individual Research Problems (1-3 cr.) 590 Individual Research Problems (1-3 cr.) P: Twelve (12) credit hours of psychology and consent of instructor. Opportunity for students to study particular problems in any field of psychology or to learn research techniques under the guidance of a faculty member.
- PSY 60000 Statistical Inference (3 cr.) 600 Statistical Inference (3 cr.) P: Student must be a degree-seeking student in psychology graduate program or have consent of instructor and B305 or equivalent. Emphasis on principles underlying both parametric and nonparametric inference.
- PSY 60100 Correlation and Experimental Design (3 cr.) 601 Correlation and Experimental Design (3 cr.) P: 600. Continuation of 600, with emphasis on the design and analysis of experiments.
- PSY 60500 Applied Multivariate Analysis (3 cr.) 605 Applied Multivariate Analysis (3 cr.) P: 600. A survey of the most frequently employed multivariate research techniques, such as multivariate generalizations of univariate tests and analysis of variance, principal components, canonical analysis, and discriminant analysis. A central theme of the course is the general linear model, both univariate and multivariate. A multipurpose program for this model provides the student with practical experience in conducting multivariate research.
- PSY 60800 Measurement Theory and the Interpretation of Data (3 cr.) 608 Measurement Theory and the Interpretation of Data (3 cr.) P: 600 and B307, or equivalent. The theory of measurement and the development of reliability and the Spearman-Brown equations, true scores and variables, and correction for attenuation. Variance or covariance of combinations of variables. Item analysis and test construction strategies. Reliability and validity of measurements and the influence of measurement error and measurement threats to research design.
- PSY 61100 Factor Analysis (3 cr.) 611 Factor Analysis (3 cr.) P: 600. Theory and applications of factor analysis in psychological research.
- PSY 61500 Introduction to Psychobiology (3 cr.) P: Consent of instructor. A survey of the integrated neurosciences emphasizing physiological psychology. Neural processes of sensory and motor function, arousal and sleep, motivation, learning and memory, language function, and personality disorders will be presented with selected coverage of neuroanatomy, neurophysiology, neuropharmacology, and neuroendocrinology. Both normal and pathological functions will be covered.
- PSY 62200 Animal Learning (3 cr.) 622 Animal Learning (3 cr.) A survey of the methods, problems, and research in Pavlovian, instrumental, and operant conditioning. Current issues and attempts at theoretical integration are highlighted. Emphasis is also given to the empirical and conceptual foundations of the present views on the mechanisms governing learned behavior.
- PSY 62400 Human Learning and Memory (3 cr.) P: A first course in human learning and consent of instructor. Selected survey of important problems in the encoding, storage, and retrieval of laboratory and naturalistic events.
- PSY 62800 Perceptual Processes (3 cr.) 628 Perceptual Processes (3 cr.) This course is an advanced introduction to the psychology of perception. The course emphasizes visual and auditory perception, reviewing basic concepts, methodologies, research findings, and theoretical approaches. Theories of direct perception, constructivist perception, and computational vision are discussed in detail.
- PSY 64000 Survey of Social Psychology I (3 cr.) P: B370 or equivalent. An extensive survey of methods, research, and theory in social psychology.
- PSY 64600 Seminar in Social-Personality Psychology (3 cr.) 646 Seminar in Social-Personality Psychology (3 cr.) P: consent of instructor. A seminar covering a special topic in personality or social psychology. Specific topic varies from seminar to seminar.
- PSY 65500 Cognitive Development (3 cr.) 655 Cognitive Development (3 cr.) P: consent of instructor. An analysis of research findings and current theories relevant to the development of cognitive processes. Emphasis on the changing characteristics of some fundamental cognitive processes. Special attention is given to verbal behavior and language.
- PSY 68000 Seminar in Industrial-Personnel Psychology (3 cr.) 680 Seminar in Industrial-Personnel Psychology (3 cr.) P: 570, 572, and 601. Extensively surveys the various areas of industrial-personnel psychology (e.g., selection, placement, training, performance appraisal). Provides a critical and up-to-date review of recent and classical research in these areas.
- PSY 68100 Seminar in Research Methodologies of Industrial/Organizational Psychology (3 cr.) P: 57000, 57200, 60100, or consent of instructor. Intensive analysis of application of various research and statistical methods to the study of human behavior in organizational settings.
- PSY 68200 Advanced Seminar in Industrial/Organizational Psychology (3 cr.) P: 57000, 57200, or equivalent. Special topics in industrial and organizational psychology are offered on a rotating basis. Examples of the special topics are work motivation, leadership, advanced selection and placement, and performance appraisal. One topic will be treated each semester.
- PSY 68300 Seminar in Industrial-Social Psychology (3 cr.) P: 57000, 57200, or equivalent. Study of research and theory emphasizing social perception, attitudes, supervisory behavior, employee participation, motivation, and organizational structure.
- PSY 68400 Practicum in Industrial/Organizational Psychology (3 cr.) 684 Practicum in Industrial/Organizational Psychology (3 cr.) P: 570, 572, and consent of instructor. Practical experience in the development and implementation of field research in organizational settings. Gives students the opportunity to spend eight hours per week in local business organizations to gain experience and skills in industrial/organizational psychology.
- PSY-I 501 Multicultural Counseling (3 cr.) I501 Multicultural Counseling (3 cr.) P: graduate standing. This course explores the role of increasing diversity in the U.S. population and how it will affect the delivery of mental health services. The focus of the course is on different ethnic and minority groups, their customs and values, and the impact that these cultural factors have on the utilization of psychological services.
- PSY-I 544 Psychobiology of Learning and Motivation (3 cr.) I544 Psychobiology of Learning and Motivation (3 cr.) P: B320 or equivalent. The course examines past and present biologically based theories of learned and motivated behavior. Neural processes of feeding, drinking, aggression, fear, anxiety, and sexual behavior will be emphasized. Selected coverage of behavioral research principles used to investigate these processes also will be discussed.
- PSY-I 545 Psychopharmacology (3 cr.) I545 Psychopharmacology (3 cr.) P: 615 or consent of instructor. A survey of the effects of drugs on behavior, cognitive functioning, and emotions. Emphasis will be placed on the practical advantages of understanding how psychotropic drugs work, and on how the brain functions in health and disease. Students will be exposed to the most current theories and research in the field.
- PSY-I 549 Introduction to Vocational Rehabilitation (3 cr.) I549 Introduction to Vocational Rehabilitation (3 cr.) P: Nine (9) credit hours of psychology. Philosophy, procedures, and practices underlying the vocational rehabilitation movement, including the historical, social, cultural, and economic factors and legislation that have contributed to its rapid development.
- PSY-I 555 Medical and Psychosocial Aspects of Chronic Illness (3 cr.) I555 Medical and Psychosocial Aspects of Chronic Illness (3 cr.) P: Nine (9) credit hours of psychology including I549. Provides medical information for rehabilitation counselors and introduces students to medical terminology. Includes knowledge of the etiology, prognosis, methods of treatment, and effects of disabling conditions, and implications for the rehabilitation counselor. Counselor relationships with other health-related personnel are emphasized.
- PSY-I 578 Occupational Analysis (3 cr.) I578 Occupational Analysis (3 cr.) P: 570. Survey of systematic study of human work, including techniques for analyzing jobs and occupations for personnel and related purposes. Survey of occupational research and related topics. Practice in job analysis.
- PSY-I 580 Survey of Clinical Approaches with Children and Adolescents (3 cr.) I580 Survey of Clinical Approaches with Children and Adolescents (3 cr.) P: Nine (9) credit hours in psychology. Introduction to the following as they relate to children and adolescents: (1) psychopathological disorders and behavior problems, (2) theories of psychopathology and behavior problems, (3) evaluation techniques, and (4) therapeutic and behavioral change procedures. This is a lecture course.
- PSY-I 591 Psychopathology (3 cr.) I591 Psychopathology (3 cr.) P: enrollment in psychology graduate program or consent of instructor. An intensive survey of the methods, theories, and research concerning the nature, causes, and development of psychopathology. An evaluation of current systems of assessment and classification of abnormal behavior is emphasized.
- PSY-I 595 Seminar in Teaching Psychology (0-3 cr.) I595 Seminar in Teaching Psychology (0-3 cr.) P: consent of the Department of Psychology. A problem-solving approach to teaching psychology at IUPUI. Planning the course; anticipating problems; and dealing with ongoing teaching problems. Current faculty members will present their innovative techniques. Participants will evaluate each other's classroom performance.
- PSY-I 613 Psychiatric Rehabilitation (3 cr.) I613 Psychiatric Rehabilitation (3 cr.) P: consent of instructor. A seminar examining recent developments in the rehabilitation of persons with severe psychiatric disabilities. Covers assertive case management, vocational approaches, clubhouse models, residential alternatives, psychoeducation, and the consumer movement. Field observations complement classroom instruction. Issues in program planning and cost effectiveness will be discussed.
- PSY-I 614 Behavioral Medicine in Rehabilitation (3 cr.) P: Consent of instructor. The theory and practice of behavioral medicine will be explored. Emphasis is on the application of behavioral principles to individuals suffering from various chronic diseases or disabilities including spinal cord injury, chronic pain, cancer, diabetes, strokes, cardiovascular diseases, and epilepsy.
- PSY-I 618 Interventions in Health Psychology (3 cr.) I618 Interventions in Health Psychology (3 cr.) P: consent of instructor. The goal of the course is to familiarize students with clinical interventions and research relevant to health problems and lifestyle. This will enable students to critically evaluate the work that has been accomplished, and to design and implement intervention protocols.
- PSY-I 643 Field Methods and Experimentation (3 cr.) I643 Field Methods and Experimentation (3 cr.) P: 600. Covers methods appropriate for field experimentation and program evaluation. Topics will include quasi-experimental designs, sampling procedures, and issues associated with program evaluation.
- PSY-I 650 Developmental Psychology (3 cr.) I650 Developmental Psychology (3 cr.) Major concepts, principles, and facts concerning the biological and environmental influences on behavioral and psychological development. Particular emphasis on essential principles of ontogenetic development (lifespan) emerging from current research in genetics and psychology.
- PSY-I 664 Psychological Assessment in Rehabilitation I (3 cr.) I664 Psychological Assessment in Rehabilitation I (3 cr.) P: consent of instructor. Presentation of general principles of psychological assessment, professional practice, interviewing, intelligence/cognitive assessment, and psychological report writing. Supervised practice in the development of direct service skills in interviewing, behavioral observation, and psychometric assessment of cognitive abilities. Emphasis on functional implications of test results for rehabilitation populations.
- PSY-I 665 Intervention I: Counseling Approaches (3 cr.) P: Consent of instructor. Introduces doctoral students to intervention procedures used in rehabilitation psychology. The course has both didactic and clinical skills components, involving traditional counseling interventions, behavior therapy, and biofeedback. Applications to disabled populations will be emphasized.
- PSY-I 666 Intervention II: Cognitive Behavioral Interventions (3 cr.) I666 Intervention II: Cognitive Behavioral Interventions (3 cr.) P: consent of instructor. Theory, research, and clinical application of cognitive-behavioral therapy (CBT). Addresses the history and development of CBT, assessment and intake interview process, CBT intervention techniques, and CBT treatment of several disorders. Relevant multicultural issues will also be discussed.
- PSY-I 669 Psychological Assessment in Rehabilitation II (3 cr.) I669 Psychological Assessment in Rehabilitation II (3 cr.) P: I664 and consent of instructor. Presentation of psychometric foundations and the basic prediction model in personality/interest assessment. Coverage of the history of personality, assessment, personality development, and supervised clinical practice in personality/interest assessment in rehabilitation. Emphasis on prediction of everyday functioning.
- PSY-I 670 Ethical, Legal, and Cultural Issues in Psychology (3 cr.) I670 Ethical, Legal, and Cultural Issues in Psychology (3 cr.) P: admission to graduate training in psychology or consent of instructor. Exploration of models of ethical decision making. Examination of ethical principles and legal mandates that apply to professional psychology including psychologists' roles in health care service delivery, consultation (clinical and organizational), research, and teaching. Examination of cultural issues, including issues related to ethnicity, age, gender, religion, and sexual orientation.
- PSY-I 675 Human Neuropsychology (3 cr.) P: Admission to graduate training in psychology or consent of instructor. Review of essential neuroanatomy, survey of experimental and correlational research methods in the study of brain-behavior relationships, and overview of the history of neuropsychology. Critical examination of neural models for human behavior: hemispheric specialization and integration, sensation/perception, motor skills, language, spatial processing, attention, memory, executive operations, and gender differences.
- PSY-I 676 Principles of Clinical Neuropsychology (2 cr.) P: Admission to graduate training in clinical rehabilitation psychology or consent of instructor. Application of theoretical models of brain-behavior relationships to evaluation of patients with suspected nervous system disorders. Review of neuropsychological profiles associated with various neurological and psychiatric disorders. Examination of ethical/cultural issues in neuropsychological evaluation. This course does not provide training in test administration (see PSY I677).
- PSY-I 677 Neuropsychological Assessment Lab (1 cr.) I677 Neuropsychological Assessment Lab (1 cr.) P: I664 and I669 and admission to graduate training in clinical rehabilitation psychology. Students must register for I676 concurrently with I677. Training and supervised practice in neuropsychological assessment techniques and procedures. Critical review of the psychometric properties of prevailing assessment tools. Review models of interpretation/reporting. Development of proficiencies in administering prominent neuropsychological tests, neuropsychological interviewing, and writing of reports that integrate multidisciplinary data.
- PSY-I 689 Practicum in Clinical Rehabilitation Psychology (3 cr.) I689 Practicum in Clinical Rehabilitation Psychology (3 cr.) P: I549 and consent of instructor. Supervised practice of rehabilitation psychology in a community agency or organization.
- PSY-I 691 Seminar in Clinical Rehabilitation Psychology (3 cr.) I691 Seminar in Clinical Rehabilitation Psychology (3 cr.) P: consent of instructor. Current trends, problems, and developments in rehabilitation. Students pursue a special interest and share information and experience with the group. Individual reports and group discussions.
- PSY-I 697 Internship in Clinical Psychology (0-9 cr.) I697 Internship in Clinical Psychology (0-9 cr.) P: consent of instructor. Opportunities for application of theory and practice of rehabilitation psychology and case management in a rehabilitation setting under supervision of the Department of Psychology and the agency.
- STAT 51100 Statistical Methods I (3 cr.) P: MATH 16500. Spring. Descriptive statistics; elementary probability; random variables and their distributions; expectation; normal, binomial, Poisson, and hypergeometric distributions; sampling distributions; estimation and testing of hypotheses; one-way analysis of variance; and correlation and regression.
- STAT 51200 Applied Regression Analysis (3 cr.) P: 51100. Fall. Inference in simple and multiple linear regression, estimation of model parameters, testing, and prediction. Residual analysis, diagnostics and remedial measures. Multicollinearity. Model building, stepwise, and other model selection methods. Weighted least squares. Nonlinear regression. Models with qualitative independent variables. One-way analysis of variance. Orthogonal contrasts and multiple comparison tests. Use of existing statistical computing package.
- STAT 51300 Statistical Quality Control (3 cr.) P: 51100. Control charts and acceptance sampling, standard acceptance plans, continuous sampling plans, sequential analysis, and response surface analysis. Use of existing statistical computing packages.
- STAT 51400 Designs of Experiments (3 cr.) P: 51200. Spring. Fundamentals, completely randomized design, and randomized complete blocks. Latin squares, multiclassification, factorial, nested factorial, incom-plete blocks, fractional replications, confounding, general mixed factorial, split-plot, and optimum design. Use of existing statistical computing packages.
- STAT 51500 Statistical Consulting Problems (1-3 cr.) P: consent of advisor. Consultation on real-world problems involving statistical analysis under the guidance of a faculty member. A detailed written report and an oral presentation are required.
- STAT 51600 Basic Probability and Applications (3 cr.) P: MATH 26100 or equivalent. Fall. A first course in probability intended to serve as a foundation for statistics and other applications. Intuitive background; sample spaces and random variables; joint, conditional, and marginal distributions; special distributions of statistical importance; moments and moment generating functions; statement and application of limit theorems; and introduction to Markov chains.
- STAT 51700 Statistical Inference (3 cr.) P: 51100 or 51600. Spring. A basic course in statistical theory covering standard statistical methods and their applications. Includes unbiased, maximum likelihood, and moment estimation; confidence intervals and regions; testing hypotheses for standard distributions and contingency tables; and introduction to nonparametric tests and linear regression.
- STAT 51900 Introduction to Probability (3 cr.) P: MATH 26100 or equivalent. Fall. Sample spaces and axioms of probability, conditional probability, independence, random variables, distribution functions, moment generating and characteristics functions, special discrete and continuous distributionsunivariate and multivariate cases, normal multivariate distributions, distribution of functions of random variables, modes of convergence and limit theorems, including laws of large numbers and central limit theorem.
- STAT 52000 Time Series and Applications (3 cr.) P: 51900. A first course in stationary time series with applications in engineering, economics, and physical sciences. Stationarity, autocovariance function and spectrum; integral representation of a stationary time series and interpretation; linear filtering; transfer function models; estimation of spectrum; and multivariate time series. Use of existing statistical computing packages.
- STAT 52100 Statistical Computing (3 cr.) C: 51200 or equivalent. A broad range of topics involving the use of computers in statistical methods. Collection and organization of data for statistical analysis; transferring data between statistical applications and computing platforms; techniques in exploratory data analysis; and comparison of statistical packages.
- STAT 52200 Sampling and Survey Techniques (3 cr.) P: 51200 or equivalent. Survey designs; simple random, stratified, and systematic samples; systems of sampling; methods of estimation; ratio and regression estimates; and costs. Other related topics as time permits.
- STAT 52300 Categorical Data Analysis (3 cr.) P: 52800 or equivalent, or consent of instructor. Models generating binary and categorical response data, two-way classification tables, measures of association and agreement, goodness-of-fit tests, testing independence, large sample properties. General linear models, logistic regression, and probit and extreme value models. Loglinear models in two and higher dimensions; maximum likelihood estimation, testing goodness-of-fit, partitioning chi-square, and models for ordinal data. Model building, selection, and diagnostics. Other related topics as time permits. Computer applications using existing statistical software.
- STAT 52400 Applied Multivariate Analysis (3 cr.) P: 52800 or equivalent, or consent of instructor. Fall. Extension of univariate tests in normal populations to the multivariate case, equality of covariance matrices, multivariate analysis of variance, discriminant analysis and misclassification errors, canonical correlation, principal components, and factor analysis. Strong emphasis on the use of existing computer programs.
- STAT 52500 Intermediate Statistical Methodology (3 cr.) C: 52800 or equivalent, or consent of instructor. Generalized linear models, likelihood methods for data analysis, and diagnostic methods for assessing model assumptions. Methods covered include multiple regression, analysis of variance for completely randomized designs, binary and categorical response models, and hierarchical loglinear models for contingency tables.
- STAT 52800 Mathematical Statistics (3 cr.) P: 51900 or equivalent. Spring. Sufficiency and completeness, the exponential family of distributions, theory of point estimation, Cramer-Rao inequality, Rao-Blackwell Theorem with applications, maximum likelihood estimation, asymptotic distributions of ML estimators, hypothesis testing, Neyman-Pearson Lemma, UMP tests, generalized likelihood ratio test, asymptotic distribution of the GLR test, and sequential probability ratio test.
- STAT 52900 Applied Decision Theory and Bayesian Analysis (3 cr.) C: 52800 or equivalent. Foundation of statistical analysis, Bayesian and decision theoretic formulation of problems; construction of utility functions and quantifications of prior information; methods of Bayesian decision and inference, with applications; empirical Bayes; combination of evidence; and game theory and minimax rules, Bayesian design, and sequential analysis. Comparison of statistical paradigms.
- MATH 53200 Elements of Stochastic Processes (3 cr.) P: 51900 or equivalent. A basic course in stochastic models including discrete and continuous time processes, Markov chains, and Brownian motion. Introduction to topics such as Gaussian processes, queues and renewal processes, and Poisson processes. Application to economic models, epidemic models, and reliability problems.
- STAT 53300 Nonparametric Statistics (3 cr.) P: 51600 or equivalent. Binomial test for dichotomous data, confidence intervals for proportions, order statistics, one-sample signed Wilcoxon rank test, two-sample Wilcoxon test, two-sample rank tests for dispersion, and Kruskal-Wallis test for one-way layout. Runs test and Kendall test for independence, one- and two-sample Kolmogorov-Smirnov tests, and nonparametric regression.
- STAT 53600 Introduction to Survival Analysis (3 cr.) P: 51700 or equivalent. Deals with the modern statistical methods for analyzing time-to-event data. Background theory is provided, but the emphasis is on the applications and the interpretations of results. Provides coverage of survivorship functions and censoring patterns; parametric models and likelihood methods, special life-time distributions; nonparametric inference, life tables, estimation of cumulative hazard functions, and the Kaplan-Meier estimator; one- and two-sample nonparametric tests for censored data; and semiparametric proportional hazards regression (Cox Regression), parameters' estimation, stratification, model fitting strategies, and model interpretations. Heavy use of statistical software such as Splus and SAS.
- STAT 59800 Topics in Statistical Methods (1-3 cr.) P: consent of instructor. Directed study and reports for students who wish to undertake individual reading and study on approved topics.
- STAT 61900 Probability (3 cr.) P: STAT 51900, 52800. Theory Measure theory based course in probability. Topics include Lebesgue measure, measurable functions and integration. Radon-Nikodym Theorem, product measures and Fubini's Theorem, measures on infinite product spaces, basic concepts of probability theory, conditional probability and expectation, regular conditional probability, strong law of large numbers, martingale theory, martingale convergence theorems, uniform integrability, optional sampling theorems, Kolmogorov's Three series Theorem, weak convergence of distribution functions, method of characteristic functions, the fundamental weak compactness theorems, convergence to a normal distribution, Lindeberg's Theorem, infinitely divisible distributions and their subclasses.
- STAT 62800 Advanced Statistical Inference (3 cr.) P: STAT 51900, 52800, C: STAT 61900. Real analysis for inference, statistics and subfields, conditional expectations and probability distributions, UMP tests with applications to normal distributions and confidence sets, invariance, asymptotic theory of estimation and likelihood based inference, U-statistics, Edgeworth expansions, saddle point method.
- STAT 63800 Stochastic Processes I (pending approval) (3 cr.) P: STAT 61900. Advanced topics in probability theory which may include stationary processes, independent increment processes, Gaussian processes; martingales, Markov processes, ergodic theory.
- STAT 63900 Stochastic Processes II (pending approval) (3 cr.) P: STAT 63800. This is the continuation of STAT 63800. We will concentrate on specific chapters from the textbook, including Ch VI-IX (Local Times, Generators, Girsanov's theorem, Stochastic Differential Equations). Some material from another textbook (Karatzas and Shreve, Brownian Motion and Stochastic Calculus), and the instructor's own work, may also be used, especially to cover Feynman-Kac formulas and the connection to PDEs and Stochastic PDEs. New topics not treatable using martingales will also be investigated, include stochastic integration with respect to Fractional Brownian Motion and other, more irregular Gaussian processes; anticipative stochastic calculus; Gaussian and non-Gaussian regularity theory.
- STAT 69500 Seminar in Mathematical Statistics (pending approval) (1-3 cr.) P: Consent of advisor. Individual Study that meets 3 times per week for 50 minutes per meeting for 16 weeks.