MATH 022 (Calculus 2) is a continuation of the study of the calculus of functions of one variable begun in MATH 021. Topics will include techniques of integration, including integration by parts, trigonometric substitution, and partial fractions; applications of integration, including arc length and surface area; parametric equations and polar coordinates; sequences and series, including analytic tests for convergence; Taylor series; and an introduction to vectors in two and three dimensions. Topics will be presented with a level of depth and rigor appropriate for students pursuing degrees in technical fields such as mathematics, statistics, engineering, or the physical sciences. The computer algebra system Mathematica will be used throughout the course. Students coming from the MATH 019 – 020 sequence without having taken MATH 021 should take MATH 023 instead of MATH 022.

Grades will be based on frequent quizzes and computer labs.