CID Number 
MATH 220 
Discipline 
Mathematics 
Date Approved 
March 31, 2011 
General Course Description
A second course in differential and integral calculus of a single variable: integration; techniques of integration; infinite sequences and series; polar and parametric equations; applications of integration. Primarily for Science, Technology, Engineering & Math Majors.
Minimum Units
4.0
Any rationale or comments
Prerequisite(s)
Single Variable Calculus I Early Transcendentals (Math 210, CAN 18).
Corequisite(s)
Advisories/Recommendations
Course Content
 Areas between curves;
 Volume, volume of a solid of revolution;
 Additional techniques of integration including integration by parts and trigonometric substitution;
 Numerical integration; trapezoidal and Simpson's rule;
 Improper integrals;
 Applications of integration to areas and volumes;
 Additional applications such as work, arc length, area of a surface of revolution, moments and centers of mass, separable differential equations, growth and decay;
 Introduction to sequences and series;
 Multiple tests for convergence of sequences and series;
 Power series, radius of convergence, interval of convergence;
 Differentiation and integration of power series;
 Taylor series expansion of functions;
 Parametric equations and calculus with parametric curves; and
 Polar curves and calculus in polar coordinates;
Laboratory Activities
Course Objectives
Upon successful completion of the course, students will be able to:

Evaluate definite and indefinite integrals using a variety of integration formulas and techniques;

Apply integration to areas and volumes, and other applications such as work or length of a curve;

Evaluate improper integrals;

Apply convergence tests to sequences and series;

Represent functions as power series; and

Graph, differentiate and integrate functions in polar and parametric form.
Methods of Evaluation
Tests, examinations, homework or projects where students demonstrate their mastery of the learning objectives and their ability to devise, organize and present complete solutions to problems.
Sample Textbooks
A college level textbook designed for science, technology, engineering and math majors, and supporting the learning objectives of this course.
Notes