This course provides the background for an introductory level, trigonometry-based calculus course. Topics include functions and their graphs, with an emphasis on functions that commonly appear in calculus including polynomials, rational functions, trigonometric functions, exponential functions, and logarithmic functions. The course also includes the analytic geometry of conic sections. One hour each week will be devoted to a collaborative learning workshop.

This is the third course in three-course sequence (COS-MATH-171, -172, -173). The course includes sequences, convergence and divergence of series, representations of functions by infinite series, curves defined by parametric equations, and polar coordinates. Also included are applications of calculus to curves expressed in parametric and polar form.

This course is principally a study of the calculus of functions of two or more variables, but also includes a study of vectors, vector-valued functions and their derivatives. The course covers limits, partial derivatives, multiple integrals, Stokes' Theorem, Green's Theorem, the Divergence Theorem, and applications in physics. Credit cannot be granted for both this course and MATH-219.

This course provides an introduction to boundary value problems. Topics include Fourier series, separation of variables, Laplace's equation, the heat equation, and the wave equation in Cartesian and polar coordinate systems.