Course Schedule and Catalog
Course Catalog - 2017-2018
MATH 007 - VISITING RESEARCH
Long Title: VISITING RESEARCH
Department: Mathematics
Grade Mode: Satisfactory/Unsatisfactory
Language of Instruction: Taught in English
Course Type: Research
Credit Hours: 0
Description: Research conducted by visiting student scholars. Department Permission Required. Repeatable for Credit.
MATH 101 - SINGLE VARIABLE CALCULUS I
Long Title: SINGLE VARIABLE CALCULUS I
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Limits, continuity, differentiation, integration, and the Fundamental Theorem of Calculus. Mutually Exclusive courses may only be taken with instructor permission. May substitute MATH 111-112 or take MATH 101 after completing MATH 111. Should not be taken if student already has credit for MATH 102, MATH 211, MATH 212, or MATH 221, without permission. Mutually Exclusive: Cannot register for MATH 101 if student has credit for MATH 112.
Course URL: http://math.rice.edu
MATH 102 - SINGLE VARIABLE CALCULUS II
Long Title: SINGLE VARIABLE CALCULUS II
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Continuation of MATH 101. Includes further techniques of integration, as well as infinite sequences and series, Taylor polynomials and Taylor series, parametric equations, arc length, polar coordinates, complex numbers, and Fourier polynomials. Should not be taken if student already has credit for MATH 211, MATH 212, or MATH 221, without permission.
Course URL: http://math.rice.edu
MATH 111 - CALCULUS: DIFFERENTIATION
Long Title: CALCULUS: DIFFERENTIATION AND ITS APPLICATIONS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Study of calculus, forming with MATH 112 a version of MATH 101/102 that does not cover infinite series. MATH 111 covers functions, limits, continuity, and derivatives and their applications. Mutually Exclusive courses may only be taken with instructor permission. Should not be taken if student already has credit for MATH 101, MATH 102, MATH 112, MATH 211, MATH 212, or MATH 221 without permission.
Course URL: http://math.rice.edu
MATH 112 - CALCULUS: INTEGRATION + APPS
Long Title: CALCULUS: INTEGRATION AND ITS APPLICATIONS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Continuation of the study of calculus from MATH 111. Integration, the Fundamental Theorem of Calculus, techniques of integration and applications. Should not be taken if student already has credit for MATH 102, MATH 211, MATH 212, MATH 221, without permission. Mutually Exclusive: Cannot register for MATH 112 if student has credit for MATH 101.
Course URL: http://math.rice.edu
MATH 211 - ORD DIFFERENTIAL EQUATIONS
Long Title: ORDINARY DIFFERENTIAL EQUATIONS AND LINEAR ALGEBRA
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Study of ordinary differential equations (e.g., solutions to separable and linear first-order equations and to higher-order linear equations with constant coefficients, the properties of solutions to differential equations, and numerical solution methods) and linear algebra (e.g., vector spaces and solutions to algebraic linear equations, dimension, eigenvalues, and eigenvectors of a matrix), as well as the application of linear algebra to first-order systems of differential equations and the qualitative theory of nonlinear systems and phase portraits.
MATH 212 - MULTIVARIABLE CALCULUS
Long Title: MULTIVARIABLE CALCULUS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Calculus of multiple variables. Vectors, partial derivatives and gradients, double and triple integrals, vector fields, line and surface integrals, Green's theorem, Stokes's theorem, and Gauss's theorem.
May substitute Math 221 and 222. Mutually Exclusive: Cannot register for MATH 212 if student has credit for MATH 222.
Course URL: http://math.rice.edu
MATH 221 - HONORS CALCULUS III
Long Title: HONORS CALCULUS III
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: This course and MATH 222 include the material of MATH 212 and much more. Topology of Rn, calculus for functions of several variables, linear and multilinear algebra, theory of determinants, inner product spaces, integration on manifolds.
MATH 222 - HONORS CALCULUS IV
Long Title: HONORS CALCULUS IV
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: See MATH 221. A student may not receive credit for both MATH 222 and MATH 212. Mutually Exclusive: Cannot register for MATH 222 if student has credit for MATH 212.
MATH 238 - SPECIAL TOPICS
Long Title: SPECIAL TOPICS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Internship/Practicum, Laboratory, Lecture, Seminar
Credit Hours: 1 TO 4
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Topics and credit hours may vary each semester.
Contact Department for current semester's topic(s). Repeatable for Credit.
MATH 300 - TOPICS IN UNDERGRADUATE MATH
Long Title: TOPICS IN UNDERGRADUATE MATH
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 102
Description: Treatment of topics in undergraduate mathematics. Topics vary by year. May be repeated for credit with permission of department.
Course URL: http://math.rice.edu
MATH 302 - ELEMENTS OF ANALYSIS
Long Title: ELEMENTS OF ANALYSIS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 102
Description: Introductory treatment of topics in analysis and topology, with the real line as a central example. Techniques include connected and compact sets, sequences and subsequences, continuity, and uniform approximation. Clear, cogent, and complete mathematical arguments are emphasized.
MATH 304 - ELEMENTS OF KNOT THEORY
Long Title: ELEMENTS OF KNOT THEORY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 221 OR MATH 354 OR MATH 355 or permission of instructor
Description: Introduction to the mathematical theory of knots. Techniques to distinguish knots from one another, Reidemeister moves, mod-p colorings, knot determinants, knot polynomials, Seifert surfaces, Euler characteristic, knot groups, and untying knots in four dimensions. We will also discuss open problems in knot theory.
Course URL: http://math.rice.edu
MATH 306 - ELEMENTS OF ABSTRACT ALGEBRA
Long Title: ELEMENTS OF ABSTRACT ALGEBRA
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): (MATH 354 OR MATH 355) AND (MATH 302 OR MATH 354 OR MATH 221) or permission of instructor
Description: Introductory treatment of the basic structures of abstract algebra: groups, rings, and fields. Clear, cogent, and complete mathematical arguments are emphasized. A student many not receive credit for both MATH 306 and MATH 356. Mutually Exclusive: Cannot register for MATH 306 if student has credit for MATH 356.
Course URL: http://math.rice.edu
MATH 321 - INTRODUCTION TO ANALYSIS I
Long Title: INTRODUCTION TO ANALYSIS I
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 221 OR MATH 354 OR MATH 302 or permission of department
Description: A thorough treatment of the foundations of real analysis such as metric spaces, compactness, sequences and series of functions, differentiation, Riemann integration. Mutually Exclusive: Cannot register for MATH 321 if student has credit for MATH 331.
Course URL: http://math.rice.edu
MATH 322 - INTRODUCTION TO ANALYSIS II
Long Title: INTRODUCTION TO ANALYSIS II
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 321 OR MATH 331 or permission of instructor
Description: Further study in real analysis. Possible topics include analysis in higher dimensions, Hilbert spaces, Fourier series, Sturm-Liouville theory. Repeatable for Credit.
Course URL: http://math.rice.edu
MATH 331 - HONORS ANALYSIS
Long Title: HONORS ANALYSIS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 221 OR MATH 302 OR MATH 354 or permission of department
Description: A careful treatment of basic topics in real analysis, including metric spaces and their topology, sequences and series, continuity, and differentiation. The content of this course is similar to that of MATH 321, but the intensity and conceptual level will be higher. Mutually Exclusive: Cannot register for MATH 331 if student has credit for MATH 321.
Course URL: http://math.rice.edu
MATH 354 - HONORS LINEAR ALGEBRA
Long Title: HONORS LINEAR ALGEBRA
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Vector spaces, linear transformations and matrices, theory of systems of linear equations, determinants, eigenvalues and diagonalizability, inner product spaces; and optional material chosen from: dual vector spaces, spectral theorem for self-adjoint operators, Jordan canonical form. Content is similar to that of MATH 355, but with more emphasis on theory. The course will include instruction on how to construct mathematical proofs. This course is appropriate for potential Mathematics majors and others interested in learning how to construct rigorous mathematical arguments. Recommended Prerequisite(s): A 200-level math class. Mutually Exclusive: Cannot register for MATH 354 if student has credit for MATH 355.
MATH 355 - LINEAR ALGEBRA
Long Title: LINEAR ALGEBRA
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Linear transformations and matrices, solution of linear equations, inner products eigenvalues and eigenvectors, the spectral theorem for real symmetric matrices, applications of Jordan canonical form. Mutually Exclusive: Cannot register for MATH 355 if student has credit for MATH 354.
MATH 356 - ABSTRACT ALGEBRA I
Long Title: ABSTRACT ALGEBRA I
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): (MATH 354 OR MATH 355) AND (MATH 302 OR MATH 354 OR MATH 221) or permission of instructor
Description: Group theory: normal subgroups, factor groups, Abelian groups, permutations, matrix groups, and group action. Recommended Prerequisite(s): MATH 354 or MATH 355; and some proof-based course such as MATH 302, MATH 354, or MATH 365. Mutually Exclusive: Cannot register for MATH 356 if student has credit for MATH 306.
Course URL: http://math.rice.edu
MATH 365 - NUMBER THEORY
Long Title: NUMBER THEORY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 221 OR MATH 302 OR MATH 354
Description: Prime numbers and factorization, modular arithmetic, Diophantine equations, quadratic reciprocity, and other topics such as cryptography or continued fractions.
Course URL: http://math.rice.edu
MATH 366 - GEOMETRY
Long Title: GEOMETRY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Topics chosen from Euclidean, spherical, hyperbolic, and projective geometry, with emphasis on the similarities and differences found in various geometries. Isometries and other transformations are studied and used throughout. The history of the development of geometric ideas is discussed. This course is strongly recommended for prospective high school teachers.
MATH 368 - TOPICS IN COMBINATORICS
Long Title: TOPICS IN COMBINATORICS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Study of combinatorics and discrete mathematics. Topics that may be covered include graph theory, Ramsey theory, finite geometries, combinatorial enumeration, combinatorial games.
MATH 370 - CALCULUS ON MANIFOLDS
Long Title: CALCULUS ON MANIFOLDS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): (MATH 302 OR MATH 321 OR MATH 331) AND (MATH 354 OR MATH 355) or permission of instructor
Description: Differentiation and integration on manifolds: calculus on Rn, exterior differentiation, differentiation forms, vector fields, Stokes' theorem.
Course URL: http://math.rice.edu
MATH 371 - LIE THEORY
Long Title: LIE THEORY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 306 OR MATH 356 or permission of instructor
Description: Study of classical groups as symmentries of Euclidean spaces. Geometry of complex numbers and quaternions, rotations and reflections of Rn, the orthogonal, unitary and sympletic groups. Tangent spaces to matrix groups, Lie algebras and the exponential map. If time permits: the structure of Lie algebras and the matrix logarithm. Recommended Prerequisite(s): MATH 354 or MATH 355 (may be taken the same semester).
Course URL: http://math.rice.edu
MATH 373 - ELLIPTIC CURVES
Long Title: ELLIPTIC CURVES
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 306 OR MATH 356 or permission of instructor
Description: Elliptic curves are central to modern number theory and instrumental in the proof of Fermat's Last Theorem. Topics will include: The addition law, solutions over the rational numbers, explicit computations, applications to factorization and cryptography; if time permits, infinite series attached to elliptic curves and the Birch-Swinnerton-Dyer conjecture. Recommended Prerequisite(s): 200 Level Math Course
Course URL: http://math.rice.edu
MATH 374 - INTRO TO REPRESENTATION THEORY
Long Title: INTRODUCTION TO REPRESENTATION THEORY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 306 OR MATH 356 or permission of instructor
Description: First course in representation theory, with an emphasis on concrete examples, especially the symmetric group. Topics include representations of finite groups, characters, classification, symmetric functions, Young symmetrizers, and Schur-Weyl duality. Prior experience with proofs is necessary; some familiarity with linear or abstract algebra would be helpful, but can be acquired along the way. Recommended Prerequisite(s): Linear Algebra (MATH 221, MATH 354, or MATH 355) and MATH 356.
Course URL: http://math.rice.edu
MATH 376 - ALGEBRAIC GEOMETRY
Long Title: ALGEBRAIC GEOMETRY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): (MATH 354 OR MATH 355) AND (MATH 306 OR MATH 356) or permission of instructor
Description: An introduction to algebraic geometry, with an emphasis on algorithms. Topics include: polynomial rings and ideals, Groebner bases and elimination theory, affine varieties, Hilbert's Nullstellensatz, and the Algebra-Geometry correspondence. Projective varieties; Bezout's Theorem.
MATH 381 - INTRO PARTIAL DIFF EQUATIONS
Long Title: INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Laplace transform: inverse transform, applications to constant coefficient differential equations. Boundary value problems: Fourier series, Bessel functions, Legendre polynomials. Recommended Prerequisite(s): MATH 211.
MATH 382 - COMPUTATIONAL COMPLEX ANALYSIS
Long Title: COMPUTATIONAL COMPLEX ANALYSIS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Study of the Cauchy integral theorem, Taylor series, residues, as well as the evaluation of integrals by means of residues, conformal mapping, and application to two-dimensional fluid flow. Recommended Prerequisite(s): MATH 212 OR 221. Mutually Exclusive: Cannot register for MATH 382 if student has credit for MATH 427/MATH 517.
Course URL: http://math.rice.edu
MATH 390 - UNDERGRADUATE COLLOQUIUM
Long Title: UNDERGRADUATE COLLOQUIUM
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 1
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Lectures by undergraduate students on mathematical topics not usually covered in other courses. Presentation of one lecture and attendance at all sessions required. Repeatable for Credit.
MATH 401 - DIFF GEOM OF CURVES/SURFACES
Long Title: DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 222 OR MATH 354 OR MATH 302 or permission of instructor
Description: Study of the differential geometry of curves and surfaces in R3. Includes an introduction to the concept of curvature and thorough treatment of the Gauss-Bonnet theorem.
Course URL: http://math.rice.edu
MATH 402 - DIFFERENTIAL GEOMETRY
Long Title: DIFFERENTIAL GEOMETRY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 321 OR MATH 331 or permission of instructor
Description: Introduction to Riemannian geometry. Content varies from year to year. Graduate/Undergraduate Equivalency: MATH 500. Recommended Prerequisite(s): MATH 401 and MATH 321 or MATH 443. Mutually Exclusive: Cannot register for MATH 402 if student has credit for MATH 500.
Course URL: http://math.rice.edu
MATH 410 - CALCULUS OF VARIATIONS
Long Title: CALCULUS OF VARIATIONS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 101 AND MATH 102 AND (MATH 211 OR MATH 212 OR MATH 221 OR MATH 222)
Description: Study of classical and modern theories about functions having some integral expression which is maximal, minimal, or critical. Geodesics, brachistochrone problem, minimal surfaces, and numerous applications to physics. Euler-Lagrange equations, 1st and 2nd variations, Hamilton's Principle.
MATH 423 - PARTIAL DIFFERENTIAL EQNS I
Long Title: PARTIAL DIFFERENTIAL EQUATIONS I
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: First order of partial differential equations. The method of characteristics. Analysis of the solutions of the wave equation, heat equation and Laplace's equation. Integral relations and Green's functions. Potential theory, Dirichlet and Neumann problems. Asymptotic methods: the method of stationary phase, geometrical optics, regular and singular perturbation methods. Cross-list: CAAM 423, Graduate/Undergraduate Equivalency: MATH 513. Recommended Prerequisite(s): MATH 321 AND MATH 322 Mutually Exclusive: Cannot register for MATH 423 if student has credit for MATH 513.
MATH 424 - TOPICS IN PARTIAL DIFF EQNS
Long Title: TOPICS IN PARTIAL DIFFERENTIAL EQUATIONS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 423
Description: Continuation of MATH 423. Analysis of the solutions of second order differential equations. Integral relations and Green's functions. Potential theory, Dirichlet and Neumann problems. Asymptotic methods: the method of stationary phase, geometrical optics, regular and singular perturbation methods. Euler and Navier-Stokes equations. Mutually Exclusive: Cannot register for MATH 424 if student has credit for MATH 514. Repeatable for Credit.
Course URL: http://math.rice.edu
MATH 425 - INTEGRATION THEORY
Long Title: INTEGRATION THEORY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 321 OR MATH 331 or permission of instructor
Description: Lebesgue theory of measure and integration. Graduate/Undergraduate Equivalency: MATH 515. Mutually Exclusive: Cannot register for MATH 425 if student has credit for MATH 515.
Course URL: http://math.rice.edu
MATH 426 - TOPICS IN REAL ANALYSIS
Long Title: TOPICS IN REAL ANALYSIS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 425
Description: Content varies from year to year. May include Fourier series, harmonic analysis, probability theory, advanced topics in measure theory, ergodic theory, and elliptic integrals. Graduate/Undergraduate Equivalency: MATH 516. Mutually Exclusive: Cannot register for MATH 426 if student has credit for MATH 516. Repeatable for Credit.
MATH 427 - COMPLEX ANALYSIS
Long Title: COMPLEX ANALYSIS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Distribution Group: Distribution Group III
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 354 OR MATH 222 OR MATH 302 or permission of instructor
Description: Study of the Cauchy-Riemann equation, power series, Cauchy's integral formula, residue calculus, and conformal mappings. Emphasis on the theory. Recommended Prerequisite(s): MATH 321 or MATH 331. Mutually Exclusive: Cannot register for MATH 427 if student has credit for MATH 382/MATH 517.
Course URL: http://math.rice.edu
MATH 428 - TOPICS IN COMPLEX ANALYSIS
Long Title: TOPICS IN COMPLEX ANALYSIS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 382 OR MATH 427
Description: Special topics include Riemann mapping theorem, Runge's Theorem, elliptic function theory, prime number theorem, Riemann surfaces, et al. Graduate/Undergraduate Equivalency: MATH 518. Mutually Exclusive: Cannot register for MATH 428 if student has credit for MATH 518. Repeatable for Credit.
MATH 435 - DYNAMICAL SYSTEMS
Long Title: DYNAMICAL SYSTEMS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Existence and uniqueness for solutions of ordinary differential equations and difference equations, linear systems, nonlinear systems, stability, periodic solutions, bifurcation theory. Theory and theoretical examples are complemented by computational, model driven examples from biological and physical sciences. Cross-list: CAAM 435. Recommended Prerequisite(s): (MATH 212 or MATH 221) and (CAAM 335 or MATH 355 or MATH 354) and (MATH 302 or MATH 321 or MATH 331)
Course URL: http://math.rice.edu
MATH 443 - GENERAL TOPOLOGY
Long Title: GENERAL TOPOLOGY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 321 OR MATH 331 or permission of instructor
Description: Study of basic point set topology. Includes a treatment of cardinality and well ordering, as well as metrization. Graduate/Undergraduate Equivalency: MATH 538. Mutually Exclusive: Cannot register for MATH 443 if student has credit for MATH 538.
Course URL: http://math.rice.edu
MATH 444 - GEOMETRIC TOPOLOGY
Long Title: GEOMETRIC TOPOLOGY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 306 OR MATH 356 or permission of instructor
Description: Introduction to algebraic methods in topology and differential topology. Elementary homotopy theory. Covering spaces. Graduate/Undergraduate Equivalency: MATH 539. Recommended Prerequisite(s): MATH 443. Mutually Exclusive: Cannot register for MATH 444 if student has credit for MATH 539.
Course URL: http://math.rice.edu
MATH 445 - ALGEBRAIC TOPOLOGY
Long Title: ALGEBRAIC TOPOLOGY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 444
Description: Introduction to the theory of homology. Includes simplicial complexes, cell complexes and cellular homology and cohomology, as well as manifolds, and Poincare duality. Graduate/Undergraduate Equivalency: MATH 540. Mutually Exclusive: Cannot register for MATH 445 if student has credit for MATH 540.
MATH 463 - ABSTRACT ALGEBRA II
Long Title: ABSTRACT ALGEBRA II
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 357 or permission of instructor
Description: Ring theory: ideals, polynomials, factorization. Advanced linear algebra: quadratic forms, canonical forms. Field theory: extensions, Galois theory, soluability in radicals. Continuation of MATH 356. Graduate/Undergraduate Equivalency: MATH 563. Mutually Exclusive: Cannot register for MATH 463 if student has credit for MATH 563.
MATH 464 - ABSTRACT ALGEBRA III
Long Title: ABSTRACT ALGEBRA II
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 463 or permission of instructor
Description: Continuation of MATH 463. Tensor and exterior algebra, introductory commutative algebra, structure of modules, and elements of homological algebra. Additional advanced topics may include representations of finite groups and affine algebraic geometry. Graduate/Undergraduate Equivalency: MATH 564. Mutually Exclusive: Cannot register for MATH 464 if student has credit for MATH 564.
MATH 465 - TOPICS IN ALGEBRA
Long Title: TOPICS IN ALGEBRA: INTRODUCTION TO ALGEBRAIC GEOMETRY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Varieties as solution sets of systems of polynomial equations, varieties in projective space, rational and regular functions, maps of varieties, local properties and singularities. Graduate/Undergraduate Equivalency: MATH 565. Mutually Exclusive: Cannot register for MATH 465 if student has credit for MATH 565. Repeatable for Credit.
MATH 466 - TOPICS IN ALGEBRA II
Long Title: TOPICS IN ALGEBRA II
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Content varies from year to year. Graduate/Undergraduate Equivalency: MATH 566. Mutually Exclusive: Cannot register for MATH 466 if student has credit for MATH 566.
MATH 468 - POTPOURRI
Long Title: POTPOURRI
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: This course deals with miscellaneous special topics not covered in other courses. Repeatable for Credit.
MATH 471 - MATHEMATICS OF APERIODIC ORDER
Long Title: MATHEMATICS OF APERIODIC ORDER
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 321 OR MATH 354 OR MATH 355
Description: Mathematical models of quasicrystals, whose discovery in the early 1980's led to a paradigm shift in materials science. Topics include: classical theory of ordered structures (i.e., lattices modeling crystals), Delone subsets and tilings of Euclidean space, aperiodically ordered structures generated by inflation or cut-and-project schemes. Graduate/Undergraduate Equivalency: MATH 571. Recommended Prerequisite(s): MATH 356. Mutually Exclusive: Cannot register for MATH 471 if student has credit for MATH 571.
MATH 479 - MATH UNDERGRADUATE RESEARCH
Long Title: MATHEMATICS UNDERGRADUATE RESEARCH
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Research
Credit Hours: 1 TO 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: In depth investigation of a particular area of mathematics of mutual interest to the student and the faculty adviser. Instructor Permission Required. Repeatable for Credit.
Course URL: http://math.rice.edu
MATH 490 - SUPERVISED READING
Long Title: SUPERVISED READING
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Independent Study
Credit Hours: 1 TO 6
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Repeatable for Credit.
MATH 498 - RESEARCH THEMES IN MATH. SCI.
Long Title: RESEARCH THEMES IN THE MATHEMATICAL SCIENCES
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Seminar
Credit Hours: 1 TO 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: A seminar course that will cover selected theme of general research in the mathematical sciences from the perspectives of mathematics, computational and applied mathematics and statistics. The course may be repeated multiple times for credit. Cross-list: CAAM 498, STAT 498, Graduate/Undergraduate Equivalency: MATH 698. Mutually Exclusive: Cannot register for MATH 498 if student has credit for MATH 698. Repeatable for Credit.
MATH 499 - MATHEMATICAL SCIENCES
Long Title: MATHEMATICAL SCIENCES VIGRE SEMINAR
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Seminar
Credit Hours: 1 TO 3
Restrictions:
May not be enrolled in one of the following Level(s):
Graduate
Description: Repeatable for Credit.
MATH 500 - DIFFERENTIAL GEOMETRY
Long Title: DIFFERENTIAL GEOMETRY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: . Graduate/Undergraduate Equivalency: MATH 402. Mutually Exclusive: Cannot register for MATH 500 if student has credit for MATH 402. Repeatable for Credit.
MATH 501 - TOPICS DIFFERENTIAL GEOMETRY
Long Title: TOPICS IN DIFFERENTIAL GEOMETRY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Topic to be announced. Repeatable for Credit.
MATH 502 - TOPIC DIFFERENTIAL GEOMETRY
Long Title: TOPICS IN DIFFERENTIAL GEOMETRY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Topic to be announced. Repeatable for Credit.
MATH 513 - PARTIAL DIFFERENTIAL EQNS I
Long Title: PARTIAL DIFFERENTIAL EQUATIONS I
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: First order of partial differential equations. The method of characteristics. Analysis of the solutions of the wave equation, heat equation and Laplace's equation. Integral relations and Green's functions. Potential theory, Dirichlet and Neumann problems. Asymptotic methods: the method of stationary phase, geometrical optics, regular and singular perturbation methods. Additional course work is required beyond the undergraduate course requirements. Cross-list: CAAM 523, Graduate/Undergraduate Equivalency: MATH 423. Recommended Prerequisite(s): MATH 321 AND MATH 322 Mutually Exclusive: Cannot register for MATH 513 if student has credit for MATH 423.
MATH 514 - TOPICS IN PARTIAL DIFF EQNS
Long Title: TOPICS IN PARTIAL DIFFERENTIAL EQUATIONS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 513 OR MATH 423
Description: Continuation of MATH 513. Analysis of the solutions of second order differential equations. Integral relations and Green's functions. Potential theory, Dirichlet and Neumann problems. Asymptotic methods: the method of stationary phase, geometrical optics, regular and singular perturbation methods. Euler and Navier-Stokes equations. Mutually Exclusive: Cannot register for MATH 514 if student has credit for MATH 424.
Course URL: http://math.rice.edu
MATH 515 - INTEGRATION THEORY
Long Title: INTEGRATION THEORY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: . Graduate/Undergraduate Equivalency: MATH 425. Mutually Exclusive: Cannot register for MATH 515 if student has credit for MATH 425.
MATH 516 - TOPICS IN REAL ANALYSIS
Long Title: TOPICS IN REAL ANALYSIS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 425
Description: . Graduate/Undergraduate Equivalency: MATH 426. Mutually Exclusive: Cannot register for MATH 516 if student has credit for MATH 426. Repeatable for Credit.
MATH 517 - COMPLEX ANALYSIS
Long Title: COMPLEX ANALYSIS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Credit cannot be earned for MATH 517 and MATH 382/MATH 427.
MATH 518 - TOPICS IN COMPLEX ANALYSIS
Long Title: TOPICS IN COMPLEX ANALYSIS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 382 OR MATH 427
Description: . Graduate/Undergraduate Equivalency: MATH 428. Mutually Exclusive: Cannot register for MATH 518 if student has credit for MATH 428. Repeatable for Credit.
MATH 521 - ADV TOPIC: REAL ANALYSIS
Long Title: ADVANCED TOPICS IN REAL ANALYSIS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Topic to be announced. Repeatable for Credit.
MATH 522 - TOPICS IN ANALYSIS
Long Title: TOPICS IN ANALYSIS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Topic to be announced. Repeatable for Credit.
MATH 523 - FUNCTIONAL ANALYSIS
Long Title: FUNCTIONAL ANALYSIS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Banach spaces: review of L^p spaces, linear operators, dual space, Hahn-Banach theorem, weak topologies, Banach-Alaoglu theorem, compact and bounded operators, closed graph theorem;
Hilbert spaces: self-adjoint and unitary operators (including spectral theorem), symmetric operators and self-adjoint extensions; if time allows, distributions and Sobolev spaces.
Repeatable for Credit.
MATH 524 - TOPICS IN PDE
Long Title: TOPICS IN PARTIAL DIFFERENTIAL EQUATIONS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Topic to be announced. Repeatable for Credit.
MATH 527 - ERGODIC THRY&TOP DYNAMICS
Long Title: ERGODIC THEORY AND TOPOLOGICAL DYNAMICS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Topic to be announced. Repeatable for Credit.
MATH 528 - ERGODIC THRY&TOPOLOGICAL DYN
Long Title: ERGODIC THEORY AND TOPOLOGICAL DYNAMICS
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Repeatable for Credit.
MATH 538 - GENERAL TOPOLOGY
Long Title: GENERAL TOPOLOGY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: . Graduate/Undergraduate Equivalency: MATH 443. Mutually Exclusive: Cannot register for MATH 538 if student has credit for MATH 443.
MATH 539 - GEOMETRIC TOPOLOGY
Long Title: GEOMETRIC TOPOLOGY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 356 AND MATH 443
Description: . Graduate/Undergraduate Equivalency: MATH 444. Mutually Exclusive: Cannot register for MATH 539 if student has credit for MATH 444.
MATH 540 - ALGEBRAIC TOPOLOGY
Long Title: ALGEBRAIC TOPOLOGY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 539
Description: . Graduate/Undergraduate Equivalency: MATH 445. Mutually Exclusive: Cannot register for MATH 540 if student has credit for MATH 445.
MATH 541 - TOPICS IN TOPOLOGY
Long Title: TOPICS IN TOPOLOGY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Topic to be announced. Repeatable for Credit.
MATH 542 - TOPICS IN ADVANCED TOPOLOGY
Long Title: TOPICS IN ADVANCED TOPOLOGY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Topic to be announced. Repeatable for Credit.
MATH 543 - TOPICS IN L-D TOPOLOGY
Long Title: TOPICS IN LOW-DIMENSIONAL TOPOLOGY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 1 TO 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Repeatable for Credit.
MATH 563 - ABSTRACT ALGEBRA II
Long Title: ABSTRACT ALGEBRA II
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 357
Description: A first graduate course in Algebra. Advanced topics in group theory: semi-direct products, dual groups, inverse limits and completions. Galois Theory, including infinite Galois Extensions. Advanced topics in ring theory: radicals, local rings, primary decomposition, the prime spectrum of a ring. Groebner Bases; elimination theory. Modules: the Cayley-Hamilton Theorem and
Nakayama's lemma; localization and local properties; composition series and the Jordan-Hölder theorem; structure theorem for finitely generated modules over a PID. Tensor products: universal properties, multilinear algebra. Introduction to categories and functors. Graduate/Undergraduate Equivalency: MATH 463. Mutually Exclusive: Cannot register for MATH 563 if student has credit for MATH 463.
MATH 564 - ABSTRACT ALGEBRA III
Long Title: ABSTRACT ALGEBRA III
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Prerequisite(s): MATH 563
Description: . Graduate/Undergraduate Equivalency: MATH 464. Mutually Exclusive: Cannot register for MATH 564 if student has credit for MATH 464.
MATH 565 - TOPICS IN ALGEBRA
Long Title: TOPICS IN ALGEBRA: INTRODUCTION TO ALGEBRAIC GEOMETRY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Varieties as solution sets of systems of polynomial equations, varieties in projective space, rational and regular functions, maps of varieties, local properties and singularities. Graduate/Undergraduate Equivalency: MATH 465. Mutually Exclusive: Cannot register for MATH 565 if student has credit for MATH 465. Repeatable for Credit.
MATH 566 - TOPICS IN ALGEBRA II
Long Title: TOPICS IN ALGEBRA II
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: . Graduate/Undergraduate Equivalency: MATH 466. Mutually Exclusive: Cannot register for MATH 566 if student has credit for MATH 466. Repeatable for Credit.
MATH 567 - TOPICS IN ALGEBRAIC GEOMETRY
Long Title: TOPICS IN ALGEBRAIC GEOMETRY
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Possible topics include rational points on algebraic varieties, moduli spaces, deformation theory, and Hodge structures. Recommended Prerequisite(s): MATH 463 and MATH 464. Repeatable for Credit.
MATH 571 - MATHEMATICS OF APERIODIC ORDER
Long Title: MATHEMATICS OF APERIODIC ORDER
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Mathematical models of quasicrystals, whose discovery in the early 1980's led to a paradigm shift in materials science. Topics include: classical theory of ordered structures (i.e., lattices modeling crystals), Delone subsets and tilings of Euclidean space, aperiodically ordered structures generated by inflation or cut-and-project schemes. Graduate/Undergraduate Equivalency: MATH 471. Recommended Prerequisite(s): MATH 356 Mutually Exclusive: Cannot register for MATH 571 if student has credit for MATH 471.
MATH 590 - CURRENT MATHEMATICS SEMINAR
Long Title: CURRENT MATHEMATICS SEMINAR
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Seminar
Credit Hours: 1
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Lectures on topics of recent research in mathematics delivered by mathematics graduate students and faculty. Repeatable for Credit.
MATH 591 - GRADUATE TEACHING SEMINAR
Long Title: GRADUATE TEACHING SEMINAR
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Seminar
Credit Hours: 1
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Discussion on teaching issues and practice lectures by participants as preparation for classroom teaching of mathematics. Repeatable for Credit.
MATH 680 - MATHEMATICS COLLOQUIUM
Long Title: MATHEMATICS COLLOQUIUM
Department: Mathematics
Grade Mode: Satisfactory/Unsatisfactory
Language of Instruction: Taught in English
Course Type: Lecture
Credit Hours: 1
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Presentations of research topics in mathematics and related fields. Repeatable for Credit.
MATH 681 - TOPOLOGY SEMINAR
Long Title: TOPOLOGY SEMINAR
Department: Mathematics
Grade Mode: Satisfactory/Unsatisfactory
Language of Instruction: Taught in English
Course Type: Seminar
Credit Hours: 1
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Presentations of research in topology and related areas. Repeatable for Credit.
MATH 682 - ALGEBRAIC GEOMETRY SEMINAR
Long Title: ALGEBRAIC GEOMETRY SEMINAR
Department: Mathematics
Grade Mode: Satisfactory/Unsatisfactory
Language of Instruction: Taught in English
Course Type: Seminar
Credit Hours: 1
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Presentations of research in algebraic geometry and related areas. Repeatable for Credit.
MATH 683 - GEOMETRY AND ANALYSIS SEMINAR
Long Title: GEOMETRY AND ANALYSIS SEMINAR
Department: Mathematics
Grade Mode: Satisfactory/Unsatisfactory
Language of Instruction: Taught in English
Course Type: Seminar
Credit Hours: 1
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Presentations of research in geometric analysis, mathematical physics, dynamics and related areas. Repeatable for Credit.
MATH 690 - SUPERVISED READING
Long Title: SUPERVISED READING
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Independent Study
Credit Hours: 1 TO 6
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Repeatable for Credit.
MATH 698 - RESEARCH THEMES IN MATH. SCI.
Long Title: RESEARCH THEMES IN THE MATHEMATICAL SCIENCES
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Seminar
Credit Hours: 1 TO 3
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: A seminar course that will cover selected theme of general research in the mathematical sciences from the perspectives of mathematics, computational and applied mathematics and statistics. The course may be repeated multiple times for credit. Cross-list: CAAM 698, STAT 698, Graduate/Undergraduate Equivalency: MATH 498. Mutually Exclusive: Cannot register for MATH 698 if student has credit for MATH 498. Repeatable for Credit.
MATH 699 - MATHEMATICAL SCIENCES
Long Title: MATHEMATICAL SCIENCES VIGRE SEMINAR
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Seminar
Credit Hours: 1 TO 9
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Repeatable for Credit.
MATH 800 - GRADUATE THESIS AND RESEARCH
Long Title: GRADUATE THESIS AND RESEARCH
Department: Mathematics
Grade Mode: Standard Letter
Language of Instruction: Taught in English
Course Type: Research
Credit Hours: 1 TO 15
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Description: Repeatable for Credit.