| source Rice (X) |
level |
department Mathematics (X) |
MATH 101 - SINGLE VARIABLE CALCULUS I Credits: 3 Differentiation, extrema, Newton's method, integration, fundamental theorem of calculus, area, volume, natural logarithm, exponential, arc length, surface area, Simpson's rule, L'Hopital's rule. May substitute MATH 111-112 or take MATH 101 after completing MATH 111. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 102 - SINGLE VARIABLE CALCULUS II Credits: 3 Continuation of MATH 101. Includes further techniques of integration, as well as infinite sequences and series, tests for convergence, power series, radius of convergence, polar coordinates, parametric equations, and arc length. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 111 - FUNDAMENTAL THEOREM OF CALCULUS Credits: 3 Study of calculus, forming with MATH 112 a slower-paced version of MATH 101/102. Contains less detail in the coverage of infinite series. Students may take MATH 111/112 followed by MATH 102, or MATH 111 followed by MATH 101/102. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 112 - CALCULUS AND ITS APPLICATIONS Credits: 3 Continuation of the study of calculus from MATH 111. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 211 - ORDINARY DIFFERENTIAL EQUATIONS AND LINEAR ALGEBRA Credits: 3 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. Use of the computers in Owlnet as part of each homework assignment required. Credit may not be received for both MATH 211 and MATH 213. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 212 - MULTIVARIABLE CALCULUS Credits: 3 Study of gradient, divergence, and curl, Lagrange multipliers, multiple integrals, as well as line integrals, conservative vector fields, Green's theorem, Stokes's theorem, and Gauss's theorem. May substitute Math 221 and 222. Equivalency: MATH 222. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 213 - BASIC MATHEMATICAL BIOLOGY Credits: 3 Study of systems of differential and difference equations, with special attention to modeling of basic biological processes. Phase plane analysis of ordinary differential systems. Qualitative understanding of solutions of differential equations. Credit may not be received for this course and MATH 211. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 221 - HONORS CALCULUS III Credits: 3 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. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 222 - HONORS CALCULUS IV Credits: 3 See MATH 221. A student may not receive credit for both MATH 222 and MATH 212. Equivalency: MATH 212. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 300 - TOPICS IN UNDERGRADUATE MATH Credits: 3 Treatment of topics in undergraduate mathematics with an emphasis on writing of clear, cogent compete mathematical proofs. Topics vary by year. May be repeated for credit with permission of department. Pre-requisite: MATH 102 College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 321 - INTRODUCTION TO ANALYSIS I Credits: 3 A thorough treatment of basic methods of analysis such as metric spaces, compactness, sequences and series of functions. Also further topics in analysis, such as Hilbert spaces, Fourier series, Sturm- Liouville theory. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 322 - INTRODUCTION TO ANALYSIS II Credits: 3 See MATH 321. Includes proofs of the basic results for multivariable calculus (MATH 321 provides proofs for single-variable calculus). College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 354 - HONORS LINEAR ALGEBRA Credits: 3 Course URL: http://http://math.rice.edu/~cochran Systems of linear equations, matrices, vector spaces, linear transformations, eigenvalues, canonical forms, inner product spaces, bilinear and quadratic forms. 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. Credit may not be received for both MATH 354 and MATH 355. Equivalency: MATH 355. Recommend a 200-level math class. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 355 - LINEAR ALGEBRA Credits: 3 Linear transformations and matrices, solution of linear equations, eigenvalues and eigenvectors, quadratic forms, Jordan canonical form. Credit may not be received for both MATH 354 and MATH 355. Equivalency: MATH 354. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 356 - ABSTRACT ALGEBRA I Credits: 3 Group theory: normal subgroups, factor groups, Abelian groups, permutations, matrix groups, and group action. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 365 - NUMBER THEORY Credits: 3 Properties of numbers depending mainly on the notion of divisibility. Continued fractions. Offered alternate years. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 366 - GEOMETRY Credits: 3 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. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 368 - TOPICS IN COMBINATORICS Credits: 3 Study of combinatorics and discrete mathematics. Topics that may be covered include graph theory, Ramsey theory, finite geometries, combinatorial enumeration, combinatorial games. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 381 - INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS Credits: 3 Laplace transform: inverse transform, applications to constant coefficient differential equations. Boundary value problems: Fourier series, Bessel functions, Legendre polynomials. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 382 - COMPLEX ANALYSIS Credits: 3 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. May not receive credit for this course and MATH 427. Equivalency: MATH 427. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 390 - UNDERGRADUATE COLLOQUIUM Credits: 1 Lectures by undergraduate students on mathematical topics not usually covered in other courses. Presentation of one lecture and attendance at all sessions required. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 401 - DIFFERENTIAL GEOMETRY Credits: 3 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. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 402 - DIFFERENTIAL GEOMETRY Credits: 3 Introduction to Riemannian geometry. Content varies from year to year. Recommended Prerequisite: MATH 401. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 410 - CALCULUS OF VARIATIONS Credits: 3 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. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page
MATH 423 - PARTIAL DIFFERENTIAL EQUATIONS I Credits: 3 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. College: School of Natural Sciences Department: Mathematics
Score: 7.0471325 Details | Listing | Web page