Mar 28, 2024  
2017-2018 Graduate Catalog 
    
2017-2018 Graduate Catalog ARCHIVED CATALOG: CONTENT MAY NOT BE CURRENT. USE THE DROP DOWN ABOVE TO ACCESS THE CURRENT CATALOG.

Graduate Courses


 
  
  • LAW 732 - Privacy and Drones


    Credits 3

    This course examines the legal issues posed by unmanned aerial systems, better known as drones. Topics include the torts for invasion of privacy, Fourth Amendment limits on government surveillance, the First Amendment right to gather information, intellectual property, trespass, product liability, and national security

    Prerequisites
    Majors only or completion of first year courses or consent of professor.

  
  • LAW 733 - Advanced Intellectual Property Seminar


    Credits 2 – 3

    Course covers advanced topics in copyright, trademark and unfair competition law, trade secrets, and patent law.

    Prerequisites
    LAW 621, LAW 629, majors only or completion of first-year law courses or consent of instructor.

  
  • LAW 734 - Income Taxation of Estates and Trusts


    Credits 1

    Examines federal income taxation of estates, trusts, and income in respect of decedent. Considers effect on estate, planning and administration.

    Prerequisites
    LAW 603, majors only, completion of first-year courses or consent of instructor.

  
  • LAW 735 - U.S. Taxation of International Transactions


    Credits 1 – 3

    Examines how the federal income tax applies to outbound (U.S. persons doing business abroad) and in-bound (foreign persons doing business in U.S.) transactions. Also examines tax treaties.

    Prerequisites
    LAW 603, majors only or completion of first-year law courses or consent of instructor.

  
  • LAW 736 - Securities Regulation


    Credits 1 – 3

    A study of federal and state securities regulation, including statutes, administrative rules, decisions and interpretations, cases governing the duties of participants in securities offerings, and other securities transactions. Coverage will include registration, disclosure, and antifraud provisions and, time permitting, may include international and comparative topics.

    Notes
    While not required, students without an undergraduate or graduate business degree or comparable work experience are encouraged to take Law 626, prior to taking this course.

    Prerequisites
    Completion of first-year law courses or consent of instructor.

  
  • LAW 737 - Workers Compensation


    Credits 2-3

    Students will gain an effective understanding of Worker’s Compensation law, as it is practiced in most jurisdictions, with emphasis on the rights of workers to compensation, the administration of claims and the evaluation of individual cases.

    Prerequisites
    Majors only or completion of first year law courses or consent of professor.

  
  • LAW 738 - Death Penalty Seminar


    Credits 2-3

    This courses addresses the law of capital punishment and constitutional requirements. Emphasis is on Nevada’s death penalty statutes and Nevada Supreme Court Death penalty jurisprudence, policy issues implicated by capital punishment, and responsibilities of lawyers who handle capital cases.

    Notes
    It is strongly recommended that students complete LAW 653 and LAW 664.

    Prerequisites
    Majors only or completion of first year law courses or consent of professor. 

  
  • LAW 739 - Community Law


    Credits 3-4

    Students learn about the law through both classroom study and structured field experiences in which they apply what they learn by providing law-related services to community partners. Students will also develop their awareness of ethical issues, the social and cultural contexts of legal institutions, and the value of civic engagement.

    Prerequisites
    Majors only, completion of first-year law courses or consent of instructor.

  
  • LAW 750 - Congressional Externship


    Credits 3 – 6

    Explores the legislative process by placing students in legislative offices in Washington D.C.

    Prerequisites
    Majors only or completion of first-year law courses or consent of instructor.

  
  • LAW 751 - Judicial Externship


    Credits 3 – 7

    Explores the role of the judiciary in the legal system by means of in-class discussions and field placements in judicial chambers in federal and state courts in the state of Nevada.

    Prerequisites
    Majors only, consent of instructor.

  
  • LAW 752 - Legislative Externship


    Credits 1 – 12

    Explores the state legislative process by placing students in the Legislative Counsel Bureau Office in Carson City and Las Vegas. Students are assigned to work with the Legislative Counsel Bureau, the House and Senate Judiciary Committees and interim committees.

    Prerequisites
    Majors only or completion of first-year law courses or consent of instructor.

  
  • LAW 760 - Law Journal


    Credits 1 – 3

    Academic credit for successful completion of work by a member of the Nevada Law Journal.

    Grading
    S/F grading only.

    Prerequisites
    Successful completion of writing competition and selection by the instructor.

  
  • LAW 761 - Gaming Law Journal


    Credits 1-3

    Academic credit for successful completion of work by a member of the Gaming Law Journal.

    Notes
    May be repeated to a maximum of 6 credits.

    Grading
    S/F grading only

    Prerequisites
    Graduate standing

  
  • LAW 769 - Education Clinic


    Credits 3 – 6

    Students will represent children and their adult educational decision makers in educational matters in administrative foray including informal and formal hearings within Nevada school systems and possibly in state and federal court. Students, teamed with professionals from other disciplines, will also work on educational policy and advocacy.

    Prerequisites
    Completion of thirty credits; majors only; permission of instructor. Completion of thirty credits; majors only; permission of instructor.

  
  • LAW 770 - Family Justice Clinic


    Credits 1 - 6

     This clinic explores the role of families in society, the strengths and weaknesses of state intervention into families, and the meaning of access to justice for children and parents.  Students represent children, parents or guardians in family cases including termination of parental rights, guardianship, and other family matters.  Cases involve contested trials, negotiations, administrative advocacy, and cutting edge legal and policy issues. 

    Notes
    In order to represent clients in court, students must be licensed under Nevada’s student practice rule. Course also has classroom component.

    Prerequisites
     Completion of 30 law school credits. 

  
  • LAW 771 - Juvenile Justice Clinic


    Credits 1 – 6

    Under direct supervision of the professor, students represent juveniles in juvenile court and district court proceedings involving charges of criminal conduct. To represent these clients, students must be licensed under Nevada’s student practice rule for court appearances. Course also has classroom component.

    Prerequisites
    LAW 616, LAW 613, majors only or completion of first-year courses or consent of instructor.

  
  • LAW 772 - Special Topics: Mediation Clinic


    Credits 1-6

    Students will study theories of conflict, negotiation and mediation. They will be exposed to many different models of mediation and learn to choose the interventions and techniques appropriate for different settings. Students receive practical and theoretical training in mediation theory and apply what they learn by mediating live cases in their weekly 4-hour placement in a variety of community venues.

    Prerequisites
    Completion of first-year law courses, interviewed by and permission of instructor.

  
  • LAW 773 - Government & Public Interest Externship


    Credits 1 – 12

    Designed to provide experiential learning opportunities in a variety of public law agencies including the offices of the U.S. Attorney, Special Public Defender, Clark County District Attorney, Federal Defender, and others.

    Notes
    Supervised fieldwork is coupled with a weekly seminar.

    Corequisite/Prerequisite
    Pre or Corequisite: Professional responsibility.
  
  • LAW 774 - Capital Defense Clinic


    Credits 1 – 6

    Under direct supervision of the professor, students work on legal teams representing capital defendants. The classroom component of the course will emphasize death penalty law, lawyering skills, and professionalism issues.

    Notes
    Students must be able to be certified for student practice under the applicable court rules.

    Prerequisites
    Second year standing.

  
  • LAW 775 - Immigration Clinic


    Credits 1 – 6

    Under direct supervision of the professor, students represent clients in judicial and administrative proceedings involving immigration and related matters. The course will have a classroom component emphasizing immigration and naturalization law, lawyering and professionalism.

    Notes
    Students must be eligible to represent clients under the applicable student practice rules.

  
  • LAW 776 - Natural Resources Field Seminar


    Credits 2

    Course offers students an opportunity to explore advanced natural resources law issues both in the field and through traditional classroom discussion and research. Topics include rangeland management, wildlife management, endangered species protection, forest management, the Colorado ecosystem and fire management.

    Prerequisites
    LAW 654 or LAW 620 or consent of instructor.

  
  • LAW 777 - Community Law Practicum


    Credits 1-2

    A “companion course” that students take to add a practical application component to a doctrinal course. Students will work, individually or in teams, on a research, investigative or litigation project, undertaken in collaboration with community partners selected or approved by the professor teaching the doctrinal course.

    Prerequisites
    Majors only, completion of first-year law courses or consent of instructor.

  
  • LAW 778 - Innocence Clinic


    Credits 1-6

    This course will teach about the systemic causes of wrongful convictions and the legal remedies for actually innocent clients. Students enrolled in the course will work on Nevada claim of innocence cases referred from the Rocky Mountain Innocence Center and work on policy projects to improve the criminal justice system.

    Prerequisites
    Completion of 30 law school credits.

  
  • LAW 779 - Appellate Clinic


    Credits 1-6

    Students will represent clients on appeal in the Ninth Circuit Court of Appeals, the United States Supreme Court, or the Nevada Supreme Court. These appeals may include direct criminal appeals or civil appeals. Students will develop expertise in appellate counseling, strategy, legal research, storytelling, and oral and written advocacy.

    Prerequisites
    Completion of 45 law school credits.

  
  • LAW 780 - Directed Readings


    Credits 1 – 3

    Students earn credit for completing readings under the supervision and approval of a faculty member.

    Prerequisites
    Majors only; consent of instructor required.

  
  • LAW 781 - Directed Research


    Credits 1 – 3

    Students research and write about a legal topic of their choice under the guidance and supervision of a faculty member who has approved their choice of topic. Students further their knowledge of the area, as well as their legal research and writing skills.

    Prerequisites
    Majors only, consent of instructor.

  
  • LAW 782 - Directed Clinical Practice


    Credits 0-3

    This course enables students to do clinical legal work under the supervision of law school faculty, and to be certified to engage in limited practice as a student attorney under applicable rules. 

    Prerequisites
    Completion of 30 credits and faculty permission.

  
  • LAW 783 - Advanced Clinic


    Credits 1-3

    Offers clinical opportunity for students who have completed an in-house clinic to pursue advanced projects or continue client representation in an ongoing matter. Students may earn 1 to 3 credits based on hours of legal work anticipated: 45 hours for one credit,90 hours for two credits, 135 hours for three credits.   

    Prerequisites
    Completion of 30 credits and faculty permission.

  
  • LAW 790 - Special Topics in Law


    Credits 2 – 4

    Involves the study of a specialized topic in law that is not covered elsewhere in the law school curriculum. The particular topic will be announced during registration for the semester in which the course if offered.

    Notes
    May be repeated to a maximum of six credits.

    Prerequisites
    Majors only or completion of first year law courses or consent of instructor.

  
  • MAT 651 - Foundations of Mathematics I


    Credits 3

    Introduction to logic, set algebra and Boolean algebra, with applications to the theory of computing machines.

    Notes
    This course is crosslisted with MAT 451. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

     

     

  
  • MAT 652 - Foundations of Mathematics II


    Credits 3

    Formalization, proofs, and models of quantificational logic; axiomatics; application to mathematical theories, including set theory.

    Notes
    This course is crosslisted with MAT 452. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 653 - Abstract Algebra I


    Credits 3

    Sets, functions, groups, quotient groups, homomorphism theorems, Abelian groups, rings, polynomial rings, division rings, Euclidean domains, fields and vector spaces.

    Notes
    This course is crosslisted with MATH 453. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 654 - Abstract Algebra II


    Credits 3

    Sets, functions, groups, quotient groups, homomorphism theorems, Abelian groups, rings, polynomial rings, division rings, Euclidean domains, fields and vector spaces.

    Notes
    This course is crosslisted with MATH 454. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 655 - Elementary Theory of Numbers I


    Credits 3

    Topics include divisibility, arithmetic functions, congruences, quadratic residues, primitive roots, Diophantine equations, continued fractions, algebraic numbers, and partitions.

    Notes
    This course is crosslisted with MATH 455. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 656 - Elementary Theory of Numbers II


    Credits 3

    Topics include divisibility, arithmetic functions, congruences, quadratic residues, primitive roots, Diophantine equations, continued fractions, algebraic numbers, and partitions.

    Notes
    This course is crosslisted with MATH 456. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 657 - Introduction to Real Analysis I


    Credits 3

    Topics include finite and infinite sets, axiomatic study of real numbers, topology of Cartesian spaces, sequences of functions, continuous functions, differentiation of functions of one variable.

    Notes
    This course is crosslisted with MATH 457. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 658 - Introduction to Real Analysis II


    Credits 3

    Topics include uniform continuity and fixed point theorems, sequences of continuous functions, approximation theorems, Riemann-Stieltjes integral, uniform convergence and infinite integrals, series of functions, differentiation in Rn.

    Notes
    This course is crosslisted with MATH 458. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 659 - Elementary Complex Analysis


    Credits 3

    Complex numbers, analytic functions, contour integration, conformal mapping, applications.


    Notes
    This course is crosslisted with MAT 459. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 661 - Probability Theory


    Credits 3

    Fundamental concepts of probability; random variables, binomial, Poisson, normal, chi-square, T, F and other distributions; transformations of random variables; conditional and marginal distributions; central limit theorem and concepts associated with the field of statistics.

    Notes
    This course is crosslisted with MATH 461. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 662 - Stochastic Processes


    Credits 3

    Markov chains and jump processes, elements of queuing theory, stationary stochastic processes, the Wiener process and stochastic differential equations.

    Notes
    This course is crosslisted with MATH 462. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 663 - Advanced Matrix Theory and Applications


    Credits 3

    Rigorous mathematical treatment of orthogonal matrices, Gram-Schmidt method, Q-R factorization, least-squares fits, eigenvalues and eigenvectors, linear difference equations, systems of linear differential equations, unitary similarities, Schur’s theorem, discrete Markov processes, power method, quadratic forms, singular value decompositions, pseudo-inverse, systems of linear inequalities, and simplex method.

    Notes
    This course is crosslisted with MATH 463. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 665 - Numerical Analysis I


    Credits 3

    This course, when taught by a member of the graduate faculty, may be applied to a graduate program. For listings and a course description of this 600-level course, please consult the current Undergraduate Catalog under the corresponding 400 number.

    Notes
    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 666 - Numerical Analysis II


    Credits 3

    This course, when taught by a member of the graduate faculty, may be applied to a graduate program. For listings and a course description of this 600-level course, please consult the current Undergraduate Catalog under the corresponding 400 number.

    Notes
    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 668 - Applied Finite Element Analysis


    Credits 3

    Introduction to finite element method with computer applications to engineering continuum problems such as thermodynamics, solid/fluid mechanics. Topics include variational formulation of boundary value problems, natural and essential boundary conditions, discretization of domain based on rectangular, triangular, tethedral and other elements, with linear, quadratic and higher order polynomial approximations.

    Notes
    This course is crosslisted with MATH 468. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

     

  
  • MAT 669 - Combinatorics I


    Credits 3

    Graph models, covering circuits, graph colorings, trees and searching, general counting methods for arrangements and selections, generating functions, recurrence relations, and inclusion-exclusion.

    Notes
    This course is crosslisted with MATH 469. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 670 - Combinatorics II


    Credits 3

    Advanced topics in combinatorics. Topics to be selected by the instructor.

    Notes
    This course is crosslisted with MATH 470. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 680 - College Geometry


    Credits 3

    Study of advanced geometrical topics using the methods of proof of elementary geometry.

    Notes
    This course is crosslisted with MATH 480. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 683 - General Topology I


    Credits 3

    Topological spaces, nets and filters, compactness, continuous functions, product and quotient spaces, introduction to algebraic topology.

    Notes
    This course is crosslisted with MATH 483. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 684 - General Topology II


    Credits 3

    Topological spaces, nets and filters, compactness, continuous functions, product and quotient spaces, introduction to algebraic topology.

    Notes
    This course is crosslisted with MATH 484. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 687 - Introduction to Partial Differential Equations


    Credits 3

    Method of separation of variables, Fourier series, divergence theorem and Green’s identities, equations of mathematical physics, initial and initial boundary value problems, well-posedness, heat conduction in a thin rod, vibrations of a string, Laplace’s equation, solution of the Dirichlet problem for a disc and for a rectangle.

    Notes
    This course is crosslisted with MATH 488. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 689 - Advanced Mathematical Topics


    Credits 3

    Graduate-level course in advanced topics of mathematics, depending upon the interest of faculty and students.

    Notes
    This course is crosslisted with MATH 489. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

    May be repeated to a maximum of six credits.

  
  • MAT 690 - Independent Study


    Credits 3

    Library research and reports on topics of mathematical interest.

    Notes
    This course is crosslisted with MAT 499. Credit at the 600-level requires additional work.

    The 600-level MAT and STA courses that are normally available for graduate credit are those numbered 650 or higher; the exceptions are MAT 680, which may be counted for graduate credit in an education degree program, and STA 691, STA 693, and STA 695, which may be counted for graduate credit in a biological sciences program.

  
  • MAT 701 - Foundations of Mathematics III


    Credits 3

    Selection from the following topics: model theory, recursive function theory, set theory, mathematics of metamathematics.

    Prerequisites
    MAT 652

  
  • MAT 702 - Foundations of Mathematics IV


    Credits 3

    Selection from the following topics: model theory, recursive function theory, set theory, mathematics of metamathematics.

    Prerequisites
    MAT 652

  
  • MAT 703 - Abstract Algebra III


    Credits 3

    Detailed study of the following algebraic structures: groups, rings and ideals, fields, modules, and Galois theory.

    Prerequisites
    A year of undergraduate abstract algebra or consent of instructor.

  
  • MAT 704 - Abstract Algebra IV


    Credits 3

    Detailed study of the following algebraic structures: groups, rings and ideals, fields, modules, and Galois theory.

    Prerequisites
    A year of undergraduate abstract algebra or consent of instructor.

  
  • MAT 707 - Real Analysis I


    Credits 3

    Theory of measure, integration and differentiation: Banach spaces; Hilbert spaces; spaces of continuous functions.

    Prerequisites
    MAT 658

  
  • MAT 708 - Real Analysis II


    Credits 3

    Theory of measure, integration and differentiation: Banach spaces; Hilbert spaces; spaces of continuous functions.

    Prerequisites
    MAT 658

  
  • MAT 709 - Complex Function Theory I


    Credits 3

    Analytic functions, conformal mappings, Cauchy’s theorem, power series, Laurent series, the Riemann mapping theorem, harmonic functions, subharmonic functions, canonical mappings of multiply connected regions, analytic continuation.

    Prerequisites
    MAT 657 or MAT 659 or equivalent.

  
  • MAT 710 - Complex Function Theory II


    Credits 3

    Analytic functions, conformal mappings, Cauchy’s theorem, power series, Laurent series, the Riemann mapping theorem, harmonic functions, subharmonic functions, canonical mappings of multiply connected regions, analytic continuation.

    Prerequisites
    MAT 657 or MAT 659 or equivalent.

  
  • MAT 711 - Survey of Mathematical Problems I


    Credits 3

    Selected topics from logical reasoning, probability, combinatorics, graph theory, codes, number theory, constructibility, game theory, limits, functions, set theory and foundations, and plane geometry. Problem solving and techniques of proof emphasized throughout. Connections made between the mathematics of this course and secondary education mathematics.

    Prerequisites
    Graduate standing and consent of instructor.

  
  • MAT 712 - Survey of Mathematical Problems II


    Credits 3

    Continuation of topics listed for MAT 711 with emphasis on problem solving and techniques of proof. Again, connections made between the mathematical content of this course and mathematical content for secondary education.

    Prerequisites
    MAT 711 or consent of instructor.

  
  • MAT 714 - History of Mathematics


    Credits 3

    Historical development of mathematics from primitive origins to the present time. Lives of many mathematicians and their contributions to the development of mathematics.

    Prerequisites
    Graduate standing and consent of instructor.

  
  • MAT 716 - Integrative Mathematical Topics


    Credits 3

    Survey of mathematical topics in an integrative manner. The topics may cover theory and applications in long stretches including probability and statistics; combinatorics, number theory and algebra; geometry and topology; ODE and PDE; computation and numerical analysis; Real and complex analysis.

    Prerequisites
    At least nine credits at 600-level as required in Requirement #1.

  
  • MAT 717 - Analytical Solution Methods for Partial Differential Equations, I


    Credits 3

    Covers the basic theory and methods for solving linear partial differential equations. Emphasis on introducing various techniques to obtain analytical solutions of linear partial differential equations. Techniques include: Method of separation of variables; Fourier transform method; Laplace transform method; Green’s function method, etc.

    Prerequisites
    MAT 487/687, or MAT 458/658, or consent of instructor.

  
  • MAT 718 - Analytical Solution Methods for Partial Differential Equations, II


    Credits 3

    Covers the basic theory and methods for solving nonlinear partial differential equations. Emphasise on introducing various techniques to obtain analytical solutions. Techniques include: Generalized method of characteristics, method of shock wave solution, method of travelling wave solution, perturbation method, method of similarity solution, etc.

    Prerequisites
    MAT 487/687, or MAT 717, or consent of instructor.

  
  • MAT 719 - Graph Theory I


    Credits 3

    Advanced graduate level study of the topics: adjacency and incidence matrices, nonseparable graphs, trees, connectivity, edge-connectivity, Eulerian graphs, Hamiltonian graphs, line graphs, strong digraphs, groups and graphs, Cayley color graph, Reconstruction Problem, planar graphs, graph embeddings, crossing number, genus, and maximum genus.

    Prerequisites
    MAT 670  or consent of instructor.

  
  • MAT 720 - Graph Theory II


    Credits 3

    Advanced graduate level study of the topics: graph and map colorings, chromatic polynomials, matchings and independence in graphs, factorizations and decomposition, domination, extremal graph theory, and Ramsey theory.

    Prerequisites
    MAT 719  

  
  • MAT 723 - Advanced Ordinary Differential Equations I


    Credits 3

    Functional analysis; Frechet calculus; existence and uniqueness theorems for initial and boundary value problems; qualitative properties of solutions, particularly of linear equations.

    Prerequisites
    MAT 671-672 or MAT 673-674

  
  • MAT 724 - Advanced Ordinary Differential Equations II


    Credits 3

    Topics to be selected from the following: Sturm-Liouville theory, stability theory, perturbation theory, numerical methods, the theory of invariant imbedding and functional differential equations.

    Prerequisites
    MAT 723

  
  • MAT 725 - Mathematics for Operations Research I


    Credits 3

    Theory of stochastic processes, theory of queues, Markov processes, non-Markov processes, Markov chains, applications.

    Prerequisites
    MAT 661

  
  • MAT 726 - Mathematics for Operations Research II


    Credits 3

    Linear and non-linear programming, dynamic programming, Lagrange multiplier and duality theorems, control theory and optimal control, applications of programming.

    Prerequisites
    MAT 671 and 673

  
  • MAT 729 - Partial Differential Equations I


    Credits 3

    Linear and nonlinear first order PDEs. Heat, wave and Laplace equations. Classical representation formulas in one and more dimensions. Properties of solutions: maximum principles, energy methods, uniqueness and regularity considerations.

    Prerequisites
    MAT 687 or MAT 717

  
  • MAT 730 - Partial Differential Equations II


    Credits 3

    Develops a functional analytical framework which will give students a deeper understanding of the subject matter. Topics include Sobolev and Holder spaces, embedding inequalities, weak solutions, regularity and maximum principles.

    Prerequisites
    MAT 708 and MAT 729, or consent of instructor.

  
  • MAT 731 - Mathematical Modeling


    Credits 3

    Process and techniques of mathematical modeling with an emphasis on differential equations based models, though other models may also be considered. Applications selected from physical, biological and social sciences. Modeling projects based on student interests. Symbolic computation software.

    Prerequisites
    MAT 687 or MAT 717 or consent of instructor.

  
  • MAT 733 - Topology


    Credits 3

    Selected topics from algebraic and point-set topology with emphasis on algebraic topology.

    Prerequisites
    MAT 684 or consent of instructor.

  
  • MAT 734 - Topology


    Credits 3

    Selected topics from algebraic and point-set topology with emphasis on algebraic topology.

    Prerequisites
    MAT 684 or consent of instructor.

  
  • MAT 736 - Lightning Radiative Transfer I


    Credits 3

    The analysis of lightning events: cloud-to-ground and intra-cloud discharges, ground  and space detection of lightning.    

    Prerequisites
    MAT 729  or consent of instructor.

  
  • MAT 737 - Lightning Radiative Transfer II


    Credits 3

    Diffusion propagation of Lightning, transport phenomena, and applications of advanced Twersky scattering through clouds.

  
  • MAT 740 - Mathematical Wave Propagation Theory and Application I


    Credits 3

    Review of linear wave equations, techniques of linear and non-linear modeling of natural occurrences and their role in understanding mathematical inversion, mathematical foundation of dyadic wave propagation, introduction to asymptotic analysis and boundary layer theory, application to problems for waves propagating in the atmosphere, ocean and space.

    Prerequisites
    MAT 717 or MAT 729 or consent of instructor.

  
  • MAT 741 - Mathematical Wave Propagation Theory and Application II


    Credits 3

    The generalized tensor wave nature of matter, advanced mathematical methods of non-linear and quantum optics. Earth quake dynamics, elastic waves and cracks propagation with applications from earth system and space science.

    Prerequisites
    MAT 718 and MAT 740 or consent of instructor.

  
  • MAT 751 - Topics in Foundations of Mathematics


    Credits 3

    Topics selected by the instructor.

    Notes
    May be repeated for credit with the consent of the mathematics department. Except under special circumstances, total credits limited to six credits.

    Prerequisites
    MAT 701 MAT 702  

  
  • MAT 753 - Homological Algebra


    Credits 3

    Modules, categories and factors, tensors, Hom, Tor, Ext, the dimensions of rings and modules, derived factors, cohomology of groups and algebras.

    Prerequisites
    MAT 703-704 or consent of instructor.

  
  • MAT 754 - Homological Algebra


    Credits 3

    Modules, categories and factors, tensors, Hom, Tor, Ext, the dimensions of rings and modules, derived factors, cohomology of groups and algebras.

    Prerequisites
    MAT 703-704 or consent of instructor.

  
  • MAT 755 - Topics in Algebra


    Credits 3

    Topics selected by the instructor.

    Notes
    May be repeated for credit with the consent of the mathematics department. Except under special circumstances, total credits limited to six.

    Prerequisites
    MAT 703 , MAT 704  or consent of instructor.

  
  • MAT 756 - Arithmetic on Elliptic Curves


    Credits 3

    The group structure of elliptic curves over the reals, complex numbers, the rationals, number fields, and finite fields; Bezout’s theorem and its applications; projective geometry; genus; Mordell’s theorem; points of finite order; and heights. Additional topics may include complex multiplication; modular forms; and factoring using elliptic curves.

    Prerequisites
    MAT 653 and 654, or equivalent.

  
  • MAT 757 - Topics in Analysis


    Credits 3

    Topics selected by the instructor.

    Notes
    May be repeated for credit with the consent of the mathematics department. Except under special circumstances, total credits limited to six.

    Prerequisites
    MAT 707 , MAT 708  or consent of instructor.

  
  • MAT 760 - Mathematical Scattering Theory and Applications I


    Credits 3

    Scalar, vector, and tensor scattering with diverse techniques applied to earth system and space science. General Reciprocity Relations Corresponding to Different Directions of Incidence, Dyadic Scattering Theory, Two-Space Scattering Formalism of Victor Twersky, and Applications to Earth and Space Related Problems.

    Prerequisites
    MAT 717 or MAT 729 or consent of instructor.

  
  • MAT 761 - Mathematical Scattering Theory and Applications II


    Credits 3

    Advanced statistical mechanics and spatial statistics in relation to Twersky scattering with applications from earth system and space science. Calculation of bulk propagation parameters using both configurational and ensemble average in addition to spatial average. Application of Twersky multiple two-Space Scattering formalism to space and earth related problems.

    Prerequisites
    MAT 760 or consent of instructor.

  
  • MAT 765 - Advanced Numerical Analysis


    Credits 3

    Numerical solution of ordinary and partial differential equations; advanced programming techniques; experiments with the computer.

    Notes
    Topics selected by instructor.Three hours lecture, two hours laboratory.

    Prerequisites
    MAT 666

  
  • MAT 766 - Advanced Numerical Analysis


    Credits 3

    Numerical solution of ordinary and partial differential equations; advanced programming techniques; experiments with the computer.

    Notes
    Topics selected by instructor. Three hours lecture, two hours laboratory.

    Prerequisites
    MAT 666

  
  • MAT 767 - Topics in Numerical Analysis


    Credits 3

    Topics selected by the instructor.

    Notes
    May be repeated for credit with the consent of the mathematics department. Except under special circumstances, total credits limited to six.

    Prerequisites
    MAT 765-766

  
  • MAT 771 - Applied Analysis I


    Credits 3

    Functional analysis in Banach spaces and Hilbert spaces, with emphasis on computational applications. Theoretical topics to be selected from: linear functionals and operators, fixed point theorems, iterative methods, elementary spectral theory. Applications to be selected from: finite element methods, finite difference methods, approximation and interpolation, optimization algorithms.

    Prerequisites
    Graduate standing and consent of instructor.

  
  • MAT 772 - Applied Analysis II


    Credits 3

    Functional analysis in Banach spaces and Hilbert spaces, with emphasis on computational applications. Theoretical topics to be selected from: linear functionals and operators, fixed point theorems, iterative methods, elementary spectral theory. Applications to be selected from: finite element methods, finite difference methods, approximation and interpolation, optimization algorithms.

    Prerequisites
    Graduate standing and consent of instructor.

  
  • MAT 775 - Calculus of Variations


    Credits 3

    Variation of functionals, Euler-Lagrange equation, general variations, broken extremals, Weierstrass-Erdmann conditions, canonical forms, Noether’s theorem, Hamilton- Jacobi equations, Legendre’s condition, conjugate points, fields, E-function, sufficient conditions for extrema, Pontryagin’s principle, introduction to linear and non-linear optimal control theory.

    Prerequisites
    MATH 428 or 658 or consent of instructor.

  
  • MAT 776 - Topics in Applied Mathematics


    Credits 3

    Students are presented with very advanced and important topics of applied mathematics that are not given in other graduate courses. The topics would depend on the particular instructor and the particular graduate students.  Topics may be repeated but a maximum of 6 credits can apply to program.

    Notes
    May be repeated to a maximum of 6 credits.

    Prerequisites
    MAT 659  or MAT 687  or consent of instructor.

     

  
  • MAT 777 - Application of High-Performance Computing Methods in Science and Engineering


    Credits 3

    Application of high performance computing systems to science and engineering, models for numerically intensive problem solving, high performance numerical algorithms, FORTRAN 90 and high-performance FORTRAN.

    Same as
    (ME 777)

    Prerequisites
    Knowledge of UNIX, FORTRAN, and previous course on numerical methods. Graduate standing.

  
  • MAT 781 - Advanced Graduate Workshop in Foundations


    Credits 3

    Students are assigned advanced material to read, lecture on, and present to the class. Two years of 700-level mathematics in Foundations are required. The workshop is very time intensive, with additional weekly meetings required. Students will present polished lectures, based on their workshop presentations, at the Department’s Set Theory Seminar.

    Notes
    May be repeated to a maximum of six credits.

    Prerequisites
    MAT 751  

  
  • MAT 783 - Topics in Topology


    Credits 3

    Topics selected by the instructor.

    Notes
    May be repeated for credit with the consent of the mathematics department. Except under special circumstances, total credits limited to six credits.

    Prerequisites
    Consent of instructor.

  
  • MAT 789 - Topics in Advanced Mathematics


    Credits 3

    Graduate-level course in some field of mathematics, at advanced level, depending upon the current interest of the staff and the students.

    Notes
    May be repeated to a maximum of six credits.

 

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