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Law |
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LAW 6364 - Contract Drafting Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Focuses on how to draft effective agreements that accomplish the client’s goals in an ethical manner.
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LAW 6370 - Advanced Legal Research Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Study of advanced techniques of legal research using advanced computer technology as well as accessing rarely used sources and materials for specialized legal research efforts. Also includes use of law library.
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LAW 6372 - Analytic Methods Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Teaches practical analytic methods to law students without prior quantitative training. Includes decision/game theory, contracting, law and economics, microeconomics, accounting, finance, and statistics.
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LAW 6375 - Client Interviewing & Counseling Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: None.
Analytical and practical examination of the attorney-client relationship, such as, establishing the relationship in the initial interview;; billing arrangements; the importance of continuing communications; case analysis; and decision-making.
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LAW 6376 - Environmental, Energy, and Policy Law Journal Credit Hours: 3.0 (; )
An academic publication of the Law Center in which the law students, under the direction of the faculty, edit articles of distinguished faculty and scholars around the country.
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LAW 6378 - Advocacy Survey Credit Hours: 3.0 (Lecture Contact Hours:(0-3); )
Prerequisite: none.
This unique course is designed to provide students the opportunity to experience a wide spectrum of legal advocacy.
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LAW 6379 - Nuclear Energy Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: None.
Survey of case law and the statutory and regulatory authorities governing commercial nuclear power generation in the United States, and applicable state law, particularly that of the state of Texas.
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LAW 6380 - Introduction to Islamic Legal Theory and Practice Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: None.
Introduce students to the rich history of the formation, expansion, evolution and implementation of Islamic law in different parts of the world.
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LAW 6381 - Statutory Interpretation & Reasoning Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: None.
Introduces the legislative and regulatory process and the theories and doctrines of statutory interpretation used in the state and federal courts.
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LAW 6382 - E-Discovery Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: None.
Presence of technology in the workplace has required significant changes in the way litigation, and specifically discovery, is handled.
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LAW 6383 - Mediation Externship Credit Hours: 3.0 (Lecture Contact Hours:(0-3); )
Prerequisite: Completion of the A.A.White Mediation, and Professor approval.
Students do not serve as an advocate or represent clients. Instead act as neutral third-party mediators who assist others, most often parties to small claim disputes, in resolving their disputes.
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LAW 6384 - Intellectual Property Strategy & Management Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: none.
Examines the legal & managerial issues facing an IP or information-based organization from its startup phase through an initial public offering (IPO) or an acquisition by another firm.
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LAW 6386 - Toxic Torts Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: none.
Focuses on causes of action & defenses, medical & scientific causation, evidence & general case development from both Plaintiff & Defense perspectives. Illustrating toxic tort litigation’s historical development & current trends (including tort reform measures).
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LAW 6387 - Apprenticeship/Externship Clinic Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Complete 2L year, with a minimum GPS of 2.8, & commit to work at Houston firm in June/July.
Students are placed in small-to-mid-size law firms in/around Houston, & work for their assigned law firm for one month while also attending the one-hour classroom component.
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LAW 6389 - Health & Human Rights Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: None.
Introduction to international institutions and laws regarding health and examining health in the human rights context.
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LAW 6390 - Health Regulatory State Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Formerly/Same as: LAW 6390 - Health Regulatory Process
Prerequisite: None.
Explores how legal and policy considerations, intra-governmental relationships, and political dynamics influence health care agencies’ regulatory policies.
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LAW 6391 - Hospital Law & Ethics Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: none.
Explores a series of topics that will touch on what a hospital based attorney may encounter.
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LAW 6393 - Patent Remedies & Defenses Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: LAW 5332 , LAW 5201 , or consent of instructor.
Statutory and rules provisions governing U.S. patent litigation; commonly sought remedies and defenses; recent Federal Circuit decisions; jurisdictional and venue issues.
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LAW 6395 - Race & the Law Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: none.
Examines and provides critical perspectives on race, racism and law, and focuses on the historical treatment of major racial groups in the United States.
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LAW 6396 - Genetics & the Law Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: none.
Surveys the role of genetic information in diverse areas of the law.
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LAW 7202 - SEM: Law, Neuroethics, & Brain Policies Credit Hours: 2.0 (Lecture Contact Hours:(2-0); )
Addresses recent and ethical issues concerning brain development and defects, brain functioning and brain imaging.
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LAW 7213 - SEM: Legal Aspects of Bioethics Credit Hours: 2.0 (Lecture Contact Hours:(2-0); )
Examines the legal, ethical, and policy aspects of current controversies in bioethics. Topics include privacy and confidentiality, terminal care decisions, patients’ rights to refuse treatment, organ donation and transplantation, and experimentation involving human subjects.
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LAW 7217 - SEM: Law & Religion Credit Hours: 2.0 (Lecture Contact Hours:(2-0); )
Prerequisite: LAW 5488 - Constitutional Law .
Examines the law’s treatment of religious organizations and the role of religion in a pluralistic society. Paper course.
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LAW 7220 - SEM: E-Health Law Credit Hours: 2.0 (Lecture Contact Hours:(2-0); )
This seminar examines regulatory approaches to new technology (including telemedicine, cybermedicine, and medical privacy) by state legislatures, boards of medicine and pharmacy, and federal agencies. Also examines efforts by the AMA, the National Association of Boards of Pharmacy (NAPB), the Federation of State Medical Boards, and other organizations to address e-health issues.
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LAW 7225 - Seminar: Natural Resources Law Credit Hours: 2.0 (Lecture Contact Hours:(2-0); )
Prerequisite: None.
Surveys the mechanism for the management, use, preservation of natural resources on federal land, including wildlife, wilderness, refuges rivers, national parks, minerals, and timber.
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LAW 7273 - SEM: Constitutional Law Credit Hours: 2.0 (Lecture Contact Hours:(2-0); )
Selected topics in constitutional law. Varies from year to year.
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LAW 7297 - Selected Topics Credit Hours: 2.0 (Lecture Contact Hours:(2-0); )
May be repeated for credit.
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LAW 7302 - Seminar: Issues in Legal Education Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Explores a wide range of critiques of legal education as it is offered in American law schools today.
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LAW 7305 - Seminar: Hot Topics Criminal Law and Procedure Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: None.
Study of Federal Sentencing Guidelines, prosecution of corporate crimes, interaction of federal and state law enforcement, status of the war on drugs, and the influences of the war on terror, plus other topics.
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LAW 7305 - Seminar: Hot Topics Criminal Law & Procedure Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: None
Study of Federal Sentencing Guidelines, prosecution of corporate crimes, interaction of federal and state law enforcement, status of the war on drugs, and the influences of the war on terror, plus other topics.
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LAW 7307 - Advanced Topics in Intellectual Property Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Research and writing on advanced topics of patent, copyright, trademark, and trade secret law.
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LAW 7308 - SEM: Scientific Evidence and the Law Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Explores scientific issues surrounding several substances and products (such as asbestos, Bendectin, Electro-magnetic fields, passive tobacco smoke, and breast implants) which have generated mass tort litigation in the past or are candidates for future litigation. Others have had their greatest impact in other areas; for example, DNA evidence and alcohol testing have primarily been an issue in criminal cases, while drug testing has been an important issue in employment law.
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LAW 7309 - Seminar: Advanced Legal Writing for Litigation Contexts Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: None.
Advanced course of study in written advocacy for litigators intended for students who wish to improve their persuasive writing skills, especially for civil litigation practice.
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LAW 7310 - Seminar: Advanced Tort Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: none.
Provides an opportunity for further exploration of tort law, beyond that of the typical first year torts course.
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LAW 7311 - Seminar: Law & Religion Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: LAW 5488 .
Examines the law’s treatment of religion, & the conscientious objection, tort liability for churches, employment discrimination, & religion & politics, and some comparative materials on the international protection of religious freedom.
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LAW 7312 - Seminar: Law and Theology Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: none.
Introduces students to selected topics in the study of theology that conceptually parallel specific subjects in law and legal philosophy.
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LAW 7314 - Seminar: White Collar Crime Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: None.
Focuses on several crimes, such as fraud, insider trading, misappropriation on intellectual property, and conspiracy and issues such as corporate criminal liability. Paper required.
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LAW 7325 - SEM: Civil Rights/Section 1983 Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Substantive and procedural problems in litigating a civil rights course of action under 42 U. S.C. 164 § 1983.
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LAW 7327 - SEM: Advanced Topics in Copyright Law Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: LAW 5201 - Intellectual Property Survey or LAW 5379 - Copyright Law , or permission of instructor.
Provides students the opportunity for in-depth exploration of topics of interest to them, including technological, international and historical problems in the field of copyright law.
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LAW 7329 - SEM: Human Rights Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Seminar addressing several human rights problems, including the sources and content of human rights law and the types of remedies that are available for the protection of human rights at the international, regional, and domestic (U.S.) levels.
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LAW 7333 - SEM: Energy, Law and Policy Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Recommended LAW 5390 .
Students explore in depth an energy-related topic of their choice, ranging from problems (and proposed solutions) for nuclear power development, renewables, and offshore oil and gas, LNG siting, state-federal conflicts in energy development, FERC jurisdiction and restructuring orders for gas and electricity, changes in energy laws in other countries, etc. Paper required.
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LAW 7334 - SEM: International Law & the Use of Force Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Will focus on use of force in international law, the crime of aggression, and other crimes such as genocide, other crimes against humanity, and war crimes. Responses to terrorism are also a current theme with respect to use of force and criminal responsibility.
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LAW 7335 - SEM: Tax Policy Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: LAW 5359 , LAW 5459 - Federal Income Tax .
Consideration of problems in the field of federal tax policy.
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LAW 7340 - SEM: Higher Education Law Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Advanced study, research and writing concerning legal issues in post-secondary education, including governance, faculty, students, and regulation by state and federal governments.
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LAW 7349 - SEM: Constitutional Law Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Selected topics in constitutional law. Varies from year to year.
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LAW 7353 - SEM: Sandra Day O’Connor Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
A longitudinal study of the jurisprudence of Justice Sandra Day O’Connor, with papers focused on topics to be chosen in consultation with the instructor.
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LAW 7397 - Selected Topics Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
May be repeated for credit.
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Mathematics |
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MATH 5310 - History of Mathematics Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Graduate standing or consent of instructor.
Mathematics of the ancient world, classical Greek mathematics, the development of calculus, notable mathematicians and their accomplishments.
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MATH 5315 - Graph Theory with Applications Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Graduate standing or consent of instructor.
Introduction to fundamental concepts of graph theory. Does not apply towards the Master of Science in Mathematics or Applied Mathematics.
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MATH 5330 - Abstract Algebra Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Graduate standing.
Groups, rings and fields; algebra of polynomials, Euclidean rings and principal ideal domains. Does not apply toward the Master of Science in Mathematics or Applied Mathematics.
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MATH 5331 - Linear Algebra With Applications Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Graduate standing and consent of instructor.
Systems of linear equations, matrices, vector spaces, linear independence and linear dependence, determinants, eigenvalues; applications of the linear algebra concepts will be illustrated by a variety of projects.
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MATH 5332 - Differential Equations Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 5331 or consent of instructor.
Linear and nonlinear systems of ordinary differential equations; existence, uniqueness and stability of solutions; initial value problems; higher dimensional systems; Laplace transforms. Theory and applications illustrated by computer assignments and projects. Applies toward the Master of Arts in Mathematics degree; does not apply toward the Master of Science in Mathematics or the Master of Science in Applied Mathematics degrees.
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MATH 5333 - Analysis Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Two semesters of calculus or consent of instructor.
A survey of the concepts of limit, continuity, differentiation and integration for functions of one variable and functions of several variables; selected applications. Applies toward the Master of Arts in Mathematics degree; does not apply towards the Master of Science in Mathematics or the Master of Science in Applied Mathematics degrees.
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MATH 5334 - Complex Analysis Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 5333 or consent of instructor.
Complex numbers, holomorphic functions, linear transformations, Cauchy integral theorem and residue theorem.
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MATH 5336 - Discrete Mathematics Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Graduate standing or consent of instructor.
Logic and proof, sets and relations; elementary set theory; the axiom of choice. Does not apply toward the Master of Science in Mathematics or Applied Mathematics.
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MATH 5337 - Models of Computation Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
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MATH 5341 - Mathematical Modeling Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Three semesters of calculus or consent of instructor.
Proportionality and geometric similarity, empirical modeling with multiple regression, discrete dynamical systems, differential equations, simulation and optimization. Computing assignments require only common spreadsheet software and VBA programming.
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MATH 5344 - Scientific Computing With Excel Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Three semesters of calculus or consent of instructor.
Scientific computing includes numerical integration and numerical solution of systems of equations. The computational aspect of the course will require the use of Excel and VBA programming.
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MATH 5347 - Technology in Mathematical Instruction Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Three semesters of calculus or consent of instructor.
Technology and software for symbolic, graphical, and numerical computation in the mathematics classroom.
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MATH 5350 - Linear Algebra With Applications Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 2433, or consent of instructor.
Curves, arc-length, curvature, Frenet formula, surfaces, first and second fundamental forms, Guass’ theorem egregium, geodesics, minimal surfaces. Does not apply toward the Master of Science in Mathematics or Applied Mathematics.
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MATH 5378 - Axiomatic Geometry Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Graduate standing and consent of instructor
An axiomatic approach to Finite Geometries, Taxicab Geometry, Spherical Geometry, Hyperbolic Geometry and a review of Euclidean Geometry. Does not apply toward the Master of Science in Mathematics of Applied Mathematics.
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MATH 5382 - Probability Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Two semesters of calculus and one semester of linear algebra or consent of instructor.
Sample spaces, events and axioms of probability; basic discrete and continuous distributions and their relationships; Markov chains, Poisson processes and renewal processes; applications. Applies toward the Master of Arts in Mathematics degree; does not apply toward Master of Science in Mathematics or the Master of Science in Applied Mathematics degrees.
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MATH 5383 - Number Theory Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Graduate standing and consent of instructor.
Divisibility and factorization, linear Diophantine equations, congruences and applications, solving linear congruences, primes of special forms, the Chinese remainder theorem, multiplicative orders, the Euler function, primitive roots, quadratic congruences, representation problems and continued fractions.
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MATH 5385 - Statistics Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Graduate standing and consent of instructor.
Data collection and types of data, descriptive statistics, probability, estimation, model assessment, regression, analysis of categorical data, analysis of variance. Computing assignments using a prescribed software package (e.g., EXCEL, Minitab) will be given.
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MATH 5386 - Regression and Linear Models Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Two semesters of calculus, one semester of linear algebra, and MATH 5385 , or consent of instructor.
Simple and multiple linear regression, linear models, inferences from the normal error model, regression diagnostics and robust regression, computing assignments with appropriate software. Applies toward Master of Arts in Mathematics degree; does not apply toward the Master of Science in Mathematics or the Master of Science in Applied Mathematics degrees.
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MATH 5389 - Survey of Mathematics Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
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MATH 5397 - Selected Topics In Mathematics Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: Graduate standing and consent of instructor.
May be repeated with approval of chair when topics vary.
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MATH 6111 - Mathematics Colloquium Credit Hours: 1.0 (; )
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MATH 6198 - Special Problems Credit Hours: 1.0 (; )
Prerequisite: consent of instructor and approval of chair.
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MATH 6199 - Thesis Credit Hours: 1.0 (; )
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MATH 6298 - Special Problems Credit Hours: 2.0 (; )
Prerequisite: consent of instructor and approval of chair.
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MATH 6300 - Cardinal and Ordinal Numbers Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: graduate standing or consent of instructor.
Ordinal and cardinal number theory; transfinite induction, equivalence of the axiom of choice, well-ordering principle, Zorn’s lemma, and Hausdorff maximality principle; uses of generalized continuum hypothesis.
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MATH 6302 - Modern Algebra Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 4333 or MATH 4378, or consent of instructor.
Topics from the theory of groups, rings, fields, and modules with special emphasis on universal constructions.
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MATH 6303 - Modern Algebra Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 4333 or MATH 4378, or consent of instructor.
Topics from the theory of groups, rings, fields, and modules with special emphasis on universal constructions.
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MATH 6304 - Theory of Matrices Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: consent of instructor.
Emphasis on canonical forms and finite dimensional spectral theory.
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MATH 6306 - Graph Theory and Combinatorics Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: graduate standing or consent of instructor.
Basic graph-theoretical and combinatorial methods and algorithms with their applications.
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MATH 6307 - Graph Theory and Combinatorics Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: graduate standing or consent of instructor.
Basic graph-theoretical and combinatorial methods and algorithms with their applications.
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MATH 6308 - Advanced Linear Algebra I Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: graduate standing, MATH 2331 and a minimum of 3 semester hours transformations, eigenvalues and eigenvectors.
An expository paper or talk on a subject related to the course content is required.
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MATH 6309 - Advanced Linear Algebra II Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: graduate standing, and MATH 6308 .
Similarity of matrices, diagonalization, hermitian and positive definite matrices, canonical forms, normal matrices, applications. An expository paper or talk on a subject related to the course content is required.
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MATH 6312 - Introduction to Real Analysis Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: graduate standing and MATH 3334 or consent of instructor.
Properties of continuous functions, partial differentiation, line integrals, improper integrals, infinite series, and Stieltjes integrals. An expository paper or talk on a subject related to the course content is required.
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MATH 6313 - Introduction to Real Analysis Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: graduate standing and MATH 6312 or consent of instructor.
Properties of continuous functions, partial differentiation, line integrals, improper integrals, infinite series, and Stieltjes integrals. An expository paper or talk on a subject related to the course content is required.
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MATH 6315 - Master’s Tutorial Credit Hours: 3.0 (; )
Prerequisite: consent of instructor. May be taken concurrently.
Open only to those choosing the non-thesis option for the M.S. degree. Special topics selected by student and instructor to be no less demanding than writing a thesis.
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MATH 6320 - Theory of Functions of a Real Variable Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 4332 or consent of instructor.
Lebesque measure and integration, differentiation of real functions, functions of bounded variation, absolute continuity, the classical Lp spaces, general measure theory, and elementary topics in functional analysis.
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MATH 6321 - Theory of Functions of a Real Variable Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 4332 or consent of instructor.
Lebesque measure and integration, differentiation of real functions, functions of bounded variation, absolute continuity, the classical Lp spaces, general measure theory, and elementary topics in functional analysis.
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MATH 6322 - Theory of Functions of a Complex Variable Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 4331 or consent of instructor.
Geometry of the complex plane, mappings of the complex plane, integration, singularities, spaces of analytic functions, special function, analytic continuation, and Riemann surfaces.
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MATH 6323 - Theory of Functions of a Complex Variable Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 4331 or consent of instructor.
Geometry of the complex plane, mappings of the complex plane, integration, singularities, spaces of analytic functions, special function, analytic continuation, and Riemann surfaces.
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MATH 6324 - Differential Equations Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 4331.
General theories, topics in ordinary and partial differential equations, and boundary value problems.
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MATH 6325 - Differential Equations Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 4331.
General theories, topics in ordinary and partial differential equations, and boundary value problems.
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MATH 6326 - Partial Differential Equations Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 4331 or consent of instructor.
Existence and uniqueness theory in partial differential equations; generalized solutions and convergence of approximate solutions to partial differential systems.
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MATH 6327 - Partial Differential Equations Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 4331 or consent of instructor.
Existence and uniqueness theory in partial differential equations; generalized solutions and convergence of approximate solutions to partial differential systems.
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MATH 6340 - Algebraic Topology Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 3330 and MATH 4337, or consent of instructor.
An introduction to homology, cohomology, and homotopy groups of spaces, including the homology of simplicial complexes.
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MATH 6341 - Algebraic Topology Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 3330 and MATH 4337, or consent of instructor.
An introduction to homology, cohomology, and homotopy groups of spaces, including the homology of simplicial complexes.
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MATH 6342 - Topology Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 4331 and MATH 4337 or consent of instructor.
Point-set topology: compactness, connectedness, quotient spaces, separation properties, Tychonoff’s theorem, the Urysohn lemma, Tietze’s theorem, and the characterization of separable metric spaces.
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MATH 6343 - Topology II Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 4331 and MATH 4337 or consent of instructor.
Algebraic topology: the fundamental group covering spaces, surfaces, basic homology and applications.
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MATH 6344 - Topological Semigroups Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 3330 and MATH 4337, or consent of instructor.
Elementary properties, Green’s relations, the minimal ideal of a compact semigroup, general properties of compact connected semigroups with identity, semilattices, and semigroups of matrices.
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MATH 6346 - Topological Groups Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 3330 and MATH 4337, or consent of instructor.
Structure of topological groups. Topics include separation axioms, metrization, quotients, direct products, Haar integration, duality, Lie groups, and transformation groups.
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MATH 6352 - Complex Analysis and Geometry Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 6322 or consent of instructor.
Complex manifolds, varieties, sheaves, holomorphic vector bundles, Kahler manifolds and Chern classes L2 estimate.
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MATH 6353 - Complex Analysis and Geometry II Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: MATH 6352 or consent of instructor.
Idea sheaves with its applications and advanced techniques in transdental algebraic geometry.
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MATH 6360 - Applicable Analysis Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: graduate standing or consent of instructor.
Solvability of finite dimensional, integral, differential, and operator equations, contraction mapping principle, theory of integration, Hilbert and Banach spaces, and calculus of variations.
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MATH 6361 - Applicable Analysis Credit Hours: 3.0 (Lecture Contact Hours:(3-0); )
Prerequisite: graduate standing or consent of instructor.
Solvability of finite dimensional, integral, differential, and operator equations, contraction mapping principle, theory of integration, Hilbert and Banach spaces, and calculus of variations.
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