Course Listings

Use the pull-down menus to find classes based on day of the week, department, campus, course number or term. View courses at a glance for a quick view of all courses by day, campus and term.

Introduction to college algebra. Elementary equations, linear equations, exponents and radicals, quadratic equations. Recommended for students who would benefit from reviewing high school algebra. This course does not count for credit if taken after any higher mathematics course.

Properties and graphs of the basic functions: polynomial, rational, exponential, logarithmic, and trigonometric. Complex numbers, theory of equations, and selected topics.

Primarily for the behavioral sciences, this course covers topics chosen from elementary linear algebra and its applications, finite probability, and elementary statistics.

Elements of differential and integral calculus. Examples drawn from the behavioral and social sciences.

Logarithmic differentiation, implicit differentiation, inverse trigonometric functions, related rates. L'Hôpital's Rule, curve sketching. Fundamental theorem of calculus. Techniques of integration, including integration by substitution and by parts, partial fractions, trigonometric substitutions, numerical integration, areas, and volumes.Prerequisite: MATH 212.

Definition of a function, trigonometric, exponential, logarithmic and inverse functions, graphs, limits, continuity, derivative of a function, product, quotient and chain rule, implicit differentiation, linear approximation and differentials, related rates, mean value theorems, curve plotting, optimization problems, Newton's method, and antiderivatives. Prerequisite: three years of high school math, including trigonometry, or MATH 113.

Definite integrals and the fundamental theorem of calculus. Techniques of integration including integration by parts, trigonometric integrals, trigonometric substitutions, partial fractions, numerical integration, and improper integrals. Applications of integration: computation of volumes, arc length, average value of functions, the mean value theorem for integration, work and probability. Sequences and series: the integral and comparison tests, power series, ratio test, introduction to Taylor's formula and Taylor series, using series to solve differential equations. Prerequisite: MATH 220 or equivalent.

Vectors, dot and cross products, equations of lines and planes, polar, cylindrical and spherical coordinates, differentiation of vector functions, velocity and acceleration, arc length, parametric surfaces, functions of several variables, partial derivatives, tangent plane and linear approximations, chain rule for partial derivatives, directional derivative and gradient, max-min problems for functions of several variables, Lagrange multipliers. Prerequisite: MATH 224 or equivalent.

Cylindrical and spherical coordinate systems, double and triple integrals, line and surface integrals. Change of variables in multiple integrals; gradient, divergence, and curl. Theorems of Green, Gauss, and Stokes. Prerequisite: MATH 230.

Basic concepts of linear algebra. Solutions of systems of linear equations; vectors and matrices; subspaces, linear independence, and bases; determinants; eigenvalues and eigenvectors; other topics and applications as time permits. Prerequisite: MATH 230 or equivalent.

Introduction to fundamental mathematical ideas such as sets, functions, equivalence relations, and cardinal numbers, as well as basic techniques of writing proofs. Prerequisite: MATH 240.

Discrete probability spaces, random variables, expected value, combinatorial problems. Special distributions, independence, and conditional probability. Weak law and central limit theorem. Prerequisites: MATH 234, 240.

Convolution, central limit theorem, Markov processes in discrete time, recurrence, and transience. Prerequisite: MATH 234, 240.

Complex numbers, functions of a complex variable, theory of analyticfunctions, series development, analytic continuation, contour integration, conformal mapping. Prerequisite: MATH 240.

Groups and their structure; elementary ring theory; polynomial rings.

Divisibility and primes, congruences, quadratic reciprocity, Diophantine problems. Prerequisite: MATH 230.