Last offered Fall 2011. The old MAT101/102 sequence is being replaced by either MAT100/102 or by MAT100/103 starting in the academic year 2012-13.

# All courses in Spring 2012

Treatment of (mostly) differential calculus. Includes an introduction to integration as well.

Second semester of the 3-semester calculus sequence 103/104/201. Main topics are Integration and Series. Offered Fall and Spring.

Calculus, while very important to scientists and engineers, is but one part of modern mathematics, and the technicality of the subject often obscures the underlying mathematical principles. In response, this course is meant to be an alternative to a first semester calculus course for non-scientists, requiring less mathematical background, but of similar depth. In particular, the course will assume only the standard material from high school algebra and geometry. Math 189 attempts to give students an understanding of what mathematics is, what mathematicians do, and the subject's history. The course emphasizes the understanding of ideas and the ability to express them through mathematical arguments. Offered every other Spring, if staffing permits.

Last offered in Spring 2012. Replaced by MAT175, beginning Fall 2012.
One semester of multivariable mathematics for finance certificate or for math-track economics majors. Covers selected topics from linear algebra and multivariable calculus in order to give minimal preparation for upper division quantitative courses in economics. (Not sufficient preparation for 300-level math courses).

Linear Algebra, mostly in real n-space. Companion course to 201. Main topics are matrices, linear transformations, linear independence and dimension, bases and coordinates, determinants, orthogonal projection, least squares, eigenvalues, eigenvectors and their applications to quadratic forms and dynamical systems. Offered Fall and Spring.

Advanced linear algebra.. More theoretical treatment of vector spaces and matrices than that found in MAT202, but more concrete than that of MAT217. A course for those with a strong mathematical background and interest. Recommended for physics majors. Offered Spring only.

Rigorous course in multivariable analysis. Continuation of MAT215/217 (or MAT203/204, with instructor's permission). Topics include metric spaces, completeness, compactness, total derivatives, partial derivatives, inverse function theorem, implicit function theorem, Riemann integrals in several variables, Fubini's theorem, change of variables theorem, and the theorems of Green, Gauss, and Stokes.

A treatment of the theory of differential equations. The objective is to provide the student with an ability to solve problems in this field. Administered and staffed by the Mechanical Engineering Department (MAE).

This course provides an introduction to partial differential equations, covering PDEs of relevant interest in engineering and science problems.

This course will cover the fundamental theorems and algorithms of graph theory. (Renumbered as MAT375 beginning AY 2012-13)

The mathematical concept of a game is an abstraction which encompasses conflict-cooperation situations in which strategy (not just chance) plays a role. (Renumbered as MAT378 beginning AY 2012-13)

Propositional and predicate calculus. Godel completeness theorem. Finitary methods. Godel incompleteness theorem. (Renumbered as MAT305 beginning AY 2012-13)

Calculus of functions of one complex variable, power series expansions, residues, and conformal mapping. (Renumbered as MAT330 beginning AY 2012-13)

Algebra & Applications: To develop curiousity about algebraic structures by exploring examples that connect to higher mathematics and to applications in computer science, the natural sciences and electrical engineering. (Renumbered as MAT346 beginning AY 2012-13)

An introduction to point set topology, the fundamental group, covering spaces, methods of calculation and applications. (Renumbered as MAT365 beginning AY 2012-13)

Differential geometry is at the basis of modern physical theories, not only of general relativity, Einstein's geometric theory of gravitation, but also of the gauge theories of electromagnetic and nuclear interactions.

Fourier series, Fourier transforms, and applications to the classical partial differential equations. (Renumbered as MAT325 beginning AY 2012-13)

The theory of Lebesgue integration in n-dimensional space. Differentiation theory. Hilbert space theory and applications to Fourier transforms, and partial differential equations. Introduction to fractals. (Renumbered as MAT425 beginning AY 2012-13)

Introduction to numerical methods with emphasis on algorithms, applications and computer implementation issues. (Renumbered as MAT321 beginning AY 2012-13)

An intro to differential equations. Both applications and fundamental theory will be discussed. (Renumbered as MAT322 beginning AY 2012-13)

This interdisciplinary course in collaboration with Molecular Biology, Psychology and the Program in Neuroscience is directed toward upperclass undergraduate students and first-year graduate students with knowledge of linear algebra and differential equations. (Replaced by MAT323 beginning AY 2012-13)

Wiener measure, Stochastic differential equations, Markov diffusion processes etc. (Renumbered as MAT486 beginning AY 2012-13)

Mathematical methods and terminology which are essential for modern theoretical physics.

The study of local fields and its application ot Galois theory.

Introductory course in modern Analysis with applications to Partial Differential Equations,Distribution Theory, Maximal Functions, Littlewood/Paley decompositions and applications, Strichartz inequalities, Bilinear Estimates, Concentrated compactness and applications. (Renumbered as MAT520 beginning AY 2012-13)