Math 20 (Precalculus: Functions and their Graphs)

This course deals with equations and inequalities, two dimensional coordinate system, graphs of equations, conic sections, functions and their graphs, trigonometric functions and trigonometric identities, inverse trigonometric functions, and solutions of triangles and their applications.

Math 21 (Elementary Analysis I)

This course deals with limits and continuity, derivatives of algebraic and transcendental functions (exponential, logarithmic, trigonometric, hyperbolic, and their inverses), applications of derivatives, antiderivatives and definite integrals, Fundamental Theorem of Calculus, and applications of the definite integral.

Math 22 (Elementary Analysis II)

This course deals with some techniques of integration, improper integrals, infinite sequences and infinite series, power series, parametric equations and polar coordinates, lines in space, planes, cylindrical surfaces, surfaces of revolution, and quadric surfaces, vectors and vector-valued functions, and their applications.

Math 23 (Elementary Analysis III)

This course deals with limits and continuity of functions of several variables, partial derivatives and the total differential, directional derivatives, relative and absolute extrema of functions of several variables, double and triple integrals, applications of multiple integrals, vector fields, line integrals, and surface integrals.