Mathematics

Mathematics
http://math.rice.edu/
220 Herman Brown Hall
713-348-4829

Mike Wolf
Department Chair
mwolf@rice.edu

Mathematics lies at the foundation of many disciplines in the sciences, engineering fields, and the social sciences, and this influence is growing as these subjects become increasingly quantitative. Recognizing this important role in the wide variety of directions available to our degree recipients, the program in mathematics provides undergraduates with a spectrum of choices. These range from nontheoretical treatments of calculus and courses in combinatorics, elementary number theory, and projective geometry to a broad variety of sophisticated mathematics, including real and complex analysis, differential geometry, abstract algebra, algebraic and geometric topology, algebraic geometry, dynamics, and partial differential equations.

Faculty research interests range from differential geometry, ergodic theory, group representations, partial differential equations, and probability to real analysis, mathematical physics, complex variables, algebraic geometry, number theory, combinatorics, geometric topology, algebraic topology, and dynamics.

Master's Program

  • Master of Arts (MA) Degree in the field of Mathematics*

Doctoral Program

Chair

Michael Wolf

Professors

​Michael Boshernitzan
David Damanik
Robert M. Hardt
Shelly Harvey
Frank Jones
Alexander Kiselev
Alan Reid
Stephen W. Semmes

Associate Professors

Zhiyong Gao
Anthony Varilly-Alvarado

Assistant Professors

Gregory Chambers
Milivoje Lukic
Ronen Mukamel

Professors Emeriti

Robin Forman
F. Reese Harvey
John Hempel
John C. Polking
Raymond S. Wells

Sr. Instructor

Stephen Wang

Instructors

Gokalp Alpan
Jennifer Berg
John Calabrese
Anastassia Etropolski
Neil Fullarton
Betul Orcan-Ekmekci
Siran Li
Arindam Roy
Selim Sukhataiev
Changhui Tan

Clinical Assistant Professor

Robin Ward (with RUSMP)

Adjunct Faculty

Ray Johnson

Research Professor

Michael Field

For Rice University degree-granting programs:
To view the list of official course offerings, please see Rice’s Course Catalog
To view the most recent semester’s course schedule, please see Rice's Course Schedule

Mathematics (MATH)

MATH 101 - SINGLE VARIABLE CALCULUS I

Short Title: SINGLE VARIABLE CALCULUS I

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Lower-Level

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: Credit cannot be earned for MATH 101 and MATH 112.

Course URL: math.rice.edu

MATH 102 - SINGLE VARIABLE CALCULUS II

Short Title: SINGLE VARIABLE CALCULUS II

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Lower-Level

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: math.rice.edu

MATH 111 - CALCULUS: DIFFERENTIATION AND ITS APPLICATIONS

Short Title: CALCULUS: DIFFERENTIATION

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Lower-Level

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 aleady has credit for MATH 101, MATH 102, MATH 112, MATH 211, MATH 212, or MATH 221 without permission.

Course URL: math.rice.edu

MATH 112 - CALCULUS: INTEGRATION AND ITS APPLICATIONS

Short Title: CALCULUS: INTEGRATION + APPS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Lower-Level

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: Credit cannot be earned for MATH 112 and MATH 101.

Course URL: math.rice.edu

MATH 211 - ORDINARY DIFFERENTIAL EQUATIONS AND LINEAR ALGEBRA

Short Title: ORD DIFFERENTIAL EQUATIONS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Lower-Level

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

Short Title: MULTIVARIABLE CALCULUS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Lower-Level

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: Credit cannot be earned for MATH 212 and MATH 222.

Course URL: math.rice.edu

MATH 221 - HONORS CALCULUS III

Short Title: HONORS CALCULUS III

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Lower-Level

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

Short Title: HONORS CALCULUS IV

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Lower-Level

Description: See MATH 221. A student may not receive credit for both MATH 222 and MATH 212. Mutually Exclusive: Credit cannot be earned for MATH 222 and MATH 212.

MATH 238 - SPECIAL TOPICS

Short Title: SPECIAL TOPICS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Internship/Practicum, Lecture, Laboratory, Seminar

Credit Hours: 1-4

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Lower-Level

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

Short Title: TOPICS IN UNDERGRADUATE MATH

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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: math.rice.edu

MATH 302 - ELEMENTS OF ANALYSIS

Short Title: ELEMENTS OF ANALYSIS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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

Short Title: ELEMENTS OF KNOT THEORY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 221 or MATH 354 or MATH 355

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: math.rice.edu

MATH 306 - ELEMENTS OF ABSTRACT ALGEBRA

Short Title: ELEMENTS OF ABSTRACT ALGEBRA

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): (MATH 354 or MATH 355) and (MATH 302 or MATH 354 or MATH 221)

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: Credit cannot be earned for MATH 306 and MATH 356.

Course URL: math.rice.edu

MATH 321 - INTRODUCTION TO ANALYSIS I

Short Title: INTRODUCTION TO ANALYSIS I

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 221 or MATH 354 or MATH 302

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: Credit cannot be earned for MATH 321 and MATH 331.

Course URL: math.rice.edu

MATH 322 - INTRODUCTION TO ANALYSIS II

Short Title: INTRODUCTION TO ANALYSIS II

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 321 or MATH 331

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: math.rice.edu

MATH 331 - HONORS ANALYSIS

Short Title: HONORS ANALYSIS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 221 or MATH 302 or MATH 354

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: Credit cannot be earned for MATH 331 and MATH 321.

Course URL: math.rice.edu

MATH 354 - HONORS LINEAR ALGEBRA

Short Title: HONORS LINEAR ALGEBRA

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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: Credit cannot be earned for MATH 354 and MATH 355.

MATH 355 - LINEAR ALGEBRA

Short Title: LINEAR ALGEBRA

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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: Credit cannot be earned for MATH 355 and MATH 354.

MATH 356 - ABSTRACT ALGEBRA I

Short Title: ABSTRACT ALGEBRA I

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): (MATH 354 or MATH 355) and (MATH 302 or MATH 354 or MATH 221)

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: Credit cannot be earned for MATH 356 and MATH 306.

Course URL: math.rice.edu

MATH 365 - NUMBER THEORY

Short Title: NUMBER THEORY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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: math.rice.edu

MATH 366 - GEOMETRY

Short Title: GEOMETRY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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

Short Title: TOPICS IN COMBINATORICS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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

Short Title: CALCULUS ON MANIFOLDS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): (MATH 302 or MATH 321 or MATH 331) and (MATH 354 or MATH 355)

Description: Differentiation and integration on manifolds: calculus on Rn, exterior differentiation, differentiation forms, vector fields, Stokes' theorem.

Course URL: math.rice.edu

MATH 371 - LIE THEORY

Short Title: LIE THEORY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 306 or MATH 356

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: math.rice.edu

MATH 373 - ELLIPTIC CURVES

Short Title: ELLIPTIC CURVES

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 306 or MATH 356

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: math.rice.edu

MATH 374 - INTRODUCTION TO REPRESENTATION THEORY

Short Title: INTRO TO REPRESENTATION THEORY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 306 or MATH 356

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: math.rice.edu

MATH 376 - ALGEBRAIC GEOMETRY

Short Title: ALGEBRAIC GEOMETRY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): (MATH 354 or MATH 355) and (MATH 306 or MATH 356)

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 - INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS

Short Title: INTRO PARTIAL DIFF EQUATIONS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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

Short Title: COMPUTATIONAL COMPLEX ANALYSIS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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. Graduate/Undergraduate Equivalency: MATH 427, MATH 517. Recommended Prerequisite(s): MATH 212 OR 221. Mutually Exclusive: Credit cannot be earned for MATH 382 and MATH 427/MATH 517.

Course URL: math.rice.edu

MATH 390 - UNDERGRADUATE COLLOQUIUM

Short Title: UNDERGRADUATE COLLOQUIUM

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hour: 1

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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 - DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES

Short Title: DIFF GEOM OF CURVES/SURFACES

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 222 or MATH 354 or MATH 302

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: math.rice.edu

MATH 402 - DIFFERENTIAL GEOMETRY

Short Title: DIFFERENTIAL GEOMETRY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 321 or MATH 331

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: Credit cannot be earned for MATH 402 and MATH 500.

Course URL: math.rice.edu

MATH 410 - CALCULUS OF VARIATIONS

Short Title: CALCULUS OF VARIATIONS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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 EQUATIONS I

Short Title: PARTIAL DIFFERENTIAL EQNS I

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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: Credit cannot be earned for MATH 423 and MATH 513.

MATH 424 - TOPICS IN PARTIAL DIFFERENTIAL EQUATIONS

Short Title: TOPICS IN PARTIAL DIFF EQNS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 423

Description: Continuation of MATH 423. Repeatable for Credit.

Course URL: math.rice.edu

MATH 425 - INTEGRATION THEORY

Short Title: INTEGRATION THEORY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 321 or MATH 331

Description: Lebesgue theory of measure and integration. Graduate/Undergraduate Equivalency: MATH 515. Mutually Exclusive: Credit cannot be earned for MATH 425 and MATH 515.

Course URL: math.rice.edu

MATH 426 - TOPICS IN REAL ANALYSIS

Short Title: TOPICS IN REAL ANALYSIS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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: Credit cannot be earned for MATH 426 and MATH 516. Repeatable for Credit.

MATH 427 - COMPLEX ANALYSIS

Short Title: COMPLEX ANALYSIS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Distribution Group: Distribution Group III

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 354 or MATH 222 or MATH 302

Description: Study of the Cauchy-Riemann equation, power series, Cauchy's integral formula, residue calculus, and conformal mappings. Emphasis on the theory. Graduate/Undergraduate Equivalency: MATH 382, MATH 517. Recommended Prerequisite(s): MATH 321 or MATH 331. Mutually Exclusive: Credit cannot be earned for MATH 427 and MATH 382/MATH 517.

Course URL: math.rice.edu

MATH 428 - TOPICS IN COMPLEX ANALYSIS

Short Title: TOPICS IN COMPLEX ANALYSIS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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: Credit cannot be earned for MATH 428 and MATH 518. Repeatable for Credit.

MATH 435 - DYNAMICAL SYSTEMS

Short Title: DYNAMICAL SYSTEMS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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: math.rice.edu

MATH 443 - GENERAL TOPOLOGY

Short Title: GENERAL TOPOLOGY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 321 or MATH 331

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: Credit cannot be earned for MATH 443 and MATH 538.

Course URL: math.rice.edu

MATH 444 - GEOMETRIC TOPOLOGY

Short Title: GEOMETRIC TOPOLOGY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 306 or MATH 356

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: Credit cannot be earned for MATH 444 and MATH 539.

Course URL: math.rice.edu

MATH 445 - ALGEBRAIC TOPOLOGY

Short Title: ALGEBRAIC TOPOLOGY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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: Credit cannot be earned for MATH 445 and MATH 540.

MATH 463 - ABSTRACT ALGEBRA II

Short Title: ABSTRACT ALGEBRA II

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 356

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: Credit cannot be earned for MATH 463 and MATH 563.

MATH 464 - ABSTRACT ALGEBRA III

Short Title: ABSTRACT ALGEBRA III

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Prerequisite(s): MATH 463

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: Credit cannot be earned for MATH 464 and MATH 564.

MATH 465 - TOPICS IN ALGEBRA: INTRODUCTION TO ALGEBRAIC GEOMETRY

Short Title: TOPICS IN ALGEBRA

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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: Credit cannot be earned for MATH 465 and MATH 565. Repeatable for Credit.

MATH 466 - TOPICS IN ALGEBRA II

Short Title: TOPICS IN ALGEBRA II

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Description: Content varies from year to year. Graduate/Undergraduate Equivalency: MATH 566. Mutually Exclusive: Credit cannot be earned for MATH 466 and MATH 566.

MATH 468 - POTPOURRI

Short Title: POTPOURRI

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Description: This course deals with miscellaneous special topics not covered in other courses. Repeatable for Credit.

MATH 471 - MATHEMATICS OF APERIODIC ORDER

Short Title: MATHEMATICS OF APERIODIC ORDER

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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: Credit cannot be earned for MATH 471 and MATH 571.

MATH 479 - MATHEMATICS UNDERGRADUATE RESEARCH

Short Title: MATH UNDERGRADUATE RESEARCH

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Research

Credit Hours: 1-3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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: math.rice.edu

MATH 490 - SUPERVISED READING

Short Title: SUPERVISED READING

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Independent Study

Credit Hours: 1-6

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Description: Repeatable for Credit.

MATH 498 - RESEARCH THEMES IN THE MATHEMATICAL SCIENCES

Short Title: RESEARCH THEMES IN MATH. SCI.

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Seminar

Credit Hours: 1-3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

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: Credit cannot be earned for MATH 498 and MATH 698. Repeatable for Credit.

MATH 499 - MATHEMATICAL SCIENCES VIGRE SEMINAR

Short Title: MATHEMATICAL SCIENCES

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Seminar

Credit Hours: 1-3

Restrictions: Graduate level students may not enroll.

Course Level: Undergraduate Upper-Level

Description: Repeatable for Credit.

MATH 500 - DIFFERENTIAL GEOMETRY

Short Title: DIFFERENTIAL GEOMETRY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: . Graduate/Undergraduate Equivalency: MATH 402. Mutually Exclusive: Credit cannot be earned for MATH 500 and MATH 402. Repeatable for Credit.

MATH 501 - TOPICS IN DIFFERENTIAL GEOMETRY

Short Title: TOPICS DIFFERENTIAL GEOMETRY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Topic to be announced. Repeatable for Credit.

MATH 502 - TOPICS IN DIFFERENTIAL GEOMETRY

Short Title: TOPIC DIFFERENTIAL GEOMETRY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Topic to be announced. Repeatable for Credit.

MATH 513 - PARTIAL DIFFERENTIAL EQUATIONS I

Short Title: PARTIAL DIFFERENTIAL EQNS I

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: 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: Credit cannot be earned for MATH 513 and MATH 423.

MATH 515 - INTEGRATION THEORY

Short Title: INTEGRATION THEORY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: . Graduate/Undergraduate Equivalency: MATH 425. Mutually Exclusive: Credit cannot be earned for MATH 515 and MATH 425.

MATH 516 - TOPICS IN REAL ANALYSIS

Short Title: TOPICS IN REAL ANALYSIS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Prerequisite(s): MATH 425

Description: . Graduate/Undergraduate Equivalency: MATH 426. Mutually Exclusive: Credit cannot be earned for MATH 516 and MATH 426. Repeatable for Credit.

MATH 517 - COMPLEX ANALYSIS

Short Title: COMPLEX ANALYSIS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Graduate/Undergraduate Equivalency: MATH 382, MATH 427. Mutually Exclusive: Credit cannot be earned for MATH 517 and MATH 382/MATH 427.

MATH 518 - TOPICS IN COMPLEX ANALYSIS

Short Title: TOPICS IN COMPLEX ANALYSIS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Prerequisite(s): MATH 382 or MATH 427

Description: . Graduate/Undergraduate Equivalency: MATH 428. Mutually Exclusive: Credit cannot be earned for MATH 518 and MATH 428. Repeatable for Credit.

MATH 521 - ADVANCED TOPICS IN REAL ANALYSIS

Short Title: ADV TOPIC: REAL ANALYSIS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Topic to be announced. Repeatable for Credit.

MATH 522 - TOPICS IN ANALYSIS

Short Title: TOPICS IN ANALYSIS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Topic to be announced. Repeatable for Credit.

MATH 523 - FUNCTIONAL ANALYSIS

Short Title: FUNCTIONAL ANALYSIS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: 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 PARTIAL DIFFERENTIAL EQUATIONS

Short Title: TOPICS IN PDE

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Topic to be announced. Repeatable for Credit.

MATH 527 - ERGODIC THEORY AND TOPOLOGICAL DYNAMICS

Short Title: ERGODIC THRY&TOP DYNAMICS

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Topic to be announced. Repeatable for Credit.

MATH 528 - ERGODIC THEORY AND TOPOLOGICAL DYNAMICS

Short Title: ERGODIC THRY&TOPOLOGICAL DYN

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Repeatable for Credit.

MATH 538 - GENERAL TOPOLOGY

Short Title: GENERAL TOPOLOGY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: . Graduate/Undergraduate Equivalency: MATH 443. Mutually Exclusive: Credit cannot be earned for MATH 538 and MATH 443.

MATH 539 - GEOMETRIC TOPOLOGY

Short Title: GEOMETRIC TOPOLOGY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Prerequisite(s): MATH 356 and MATH 443

Description: . Graduate/Undergraduate Equivalency: MATH 444. Mutually Exclusive: Credit cannot be earned for MATH 539 and MATH 444.

MATH 540 - ALGEBRAIC TOPOLOGY

Short Title: ALGEBRAIC TOPOLOGY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Prerequisite(s): MATH 539

Description: . Graduate/Undergraduate Equivalency: MATH 445. Mutually Exclusive: Credit cannot be earned for MATH 540 and MATH 445.

MATH 541 - TOPICS IN TOPOLOGY

Short Title: TOPICS IN TOPOLOGY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Topic to be announced. Repeatable for Credit.

MATH 542 - TOPICS IN ADVANCED TOPOLOGY

Short Title: TOPICS IN ADVANCED TOPOLOGY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Topic to be announced. Repeatable for Credit.

MATH 543 - TOPICS IN LOW-DIMENSIONAL TOPOLOGY

Short Title: TOPICS IN L-D TOPOLOGY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 1-3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Repeatable for Credit.

MATH 563 - ABSTRACT ALGEBRA II

Short Title: ABSTRACT ALGEBRA II

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Prerequisite(s): MATH 356

Description: . Graduate/Undergraduate Equivalency: MATH 463. Mutually Exclusive: Credit cannot be earned for MATH 563 and MATH 463.

MATH 564 - ABSTRACT ALGEBRA III

Short Title: ABSTRACT ALGEBRA III

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Prerequisite(s): MATH 563

Description: . Graduate/Undergraduate Equivalency: MATH 464. Mutually Exclusive: Credit cannot be earned for MATH 564 and MATH 464.

MATH 565 - TOPICS IN ALGEBRA: INTRODUCTION TO ALGEBRAIC GEOMETRY

Short Title: TOPICS IN ALGEBRA

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: 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: Credit cannot be earned for MATH 565 and MATH 465. Repeatable for Credit.

MATH 566 - TOPICS IN ALGEBRA II

Short Title: TOPICS IN ALGEBRA II

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: . Graduate/Undergraduate Equivalency: MATH 466. Mutually Exclusive: Credit cannot be earned for MATH 566 and MATH 466. Repeatable for Credit.

MATH 567 - TOPICS IN ALGEBRAIC GEOMETRY

Short Title: TOPICS IN ALGEBRAIC GEOMETRY

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: 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

Short Title: MATHEMATICS OF APERIODIC ORDER

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Lecture

Credit Hours: 3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: 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: Credit cannot be earned for MATH 571 and MATH 471.

MATH 590 - CURRENT MATHEMATICS SEMINAR

Short Title: CURRENT MATHEMATICS SEMINAR

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Seminar

Credit Hour: 1

Restrictions: Enrollment is limited to Graduate level students.

Course Level: 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

Short Title: GRADUATE TEACHING SEMINAR

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Seminar

Credit Hour: 1

Restrictions: Enrollment is limited to Graduate level students.

Course Level: 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

Short Title: MATHEMATICS COLLOQUIUM

Department: Mathematics

Grade Mode: Satisfactory/Unsatisfactory

Course Type: Lecture

Credit Hour: 1

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Presentations of research topics in mathematics and related fields. Repeatable for Credit.

MATH 681 - TOPOLOGY SEMINAR

Short Title: TOPOLOGY SEMINAR

Department: Mathematics

Grade Mode: Satisfactory/Unsatisfactory

Course Type: Seminar

Credit Hour: 1

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Presentations of research in topology and related areas. Repeatable for Credit.

MATH 682 - ALGEBRAIC GEOMETRY SEMINAR

Short Title: ALGEBRAIC GEOMETRY SEMINAR

Department: Mathematics

Grade Mode: Satisfactory/Unsatisfactory

Course Type: Seminar

Credit Hour: 1

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Presentations of research in algebraic geometry and related areas. Repeatable for Credit.

MATH 683 - GEOMETRY AND ANALYSIS SEMINAR

Short Title: GEOMETRY AND ANALYSIS SEMINAR

Department: Mathematics

Grade Mode: Satisfactory/Unsatisfactory

Course Type: Seminar

Credit Hour: 1

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Presentations of research in geometric analysis, mathematical physics, dynamics and related areas. Repeatable for Credit.

MATH 690 - SUPERVISED READING

Short Title: SUPERVISED READING

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Independent Study

Credit Hours: 1-6

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Repeatable for Credit.

MATH 698 - RESEARCH THEMES IN THE MATHEMATICAL SCIENCES

Short Title: RESEARCH THEMES IN MATH. SCI.

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Seminar

Credit Hours: 1-3

Restrictions: Enrollment is limited to Graduate level students.

Course Level: 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: Credit cannot be earned for MATH 698 and MATH 498. Repeatable for Credit.

MATH 699 - MATHEMATICAL SCIENCES VIGRE SEMINAR

Short Title: MATHEMATICAL SCIENCES

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Seminar

Credit Hours: 1-9

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Repeatable for Credit.

MATH 800 - GRADUATE THESIS AND RESEARCH

Short Title: GRADUATE THESIS AND RESEARCH

Department: Mathematics

Grade Mode: Standard Letter

Course Type: Research

Credit Hours: 1-15

Restrictions: Enrollment is limited to Graduate level students.

Course Level: Graduate

Description: Repeatable for Credit.

Description and Code Legend

Note: Internally, the university uses the following descriptions, codes, and abbreviations for this academic program. The following is a quick reference: 

Course Catalog/Schedule 

  • Course offerings/subject code: MATH 

Department Description and Code

  • Mathematics: MATH 

Undergraduate Degree Descriptions and Codes

  • Bachelor of Arts degree: BA 
  • Bachelor of Science degree: BS 

Undergraduate Major Description and Code

  • Major in Mathematics (attached to both the BA and BS Degrees): MATH 

Undergraduate Minor Description and Code 

  • Minor in Mathematics: MATM 

Graduate Degree Descriptions and Codes

  • Master of Arts degree: MA
  • Doctor of Philosophy degree: PhD

Graduate Degree Program Description and Code

  • Degree Program in Mathematics: MATH