MATH 215 - Calculus II

Credit Hours: 4
Lecture Hours: 4
Laboratory (or Other) Hours: 0

General Education Code(s): 23MA

Prerequisite(s): MATH 210 or equivalent
Restriction(s): None

Corequisite(s): None

This course is concerned with the integral and its applications, and numerical approximation methods. Technology used is a graphing calculator and a Computer Algebra System. Topics studied are algebraic techniques of integration (such as substitution, parts, and partial fraction decomposition), Reimann, Trapezoid and Simpson numerical approximations to the definite integral, improper integrals, Taylor series, polynomials, and Fourier series. If time permits, a brief introduction to differential equations is included.

Student Learning Outcomes of the Course: The General Education requirement for Mathematics and Quantitative Reasoning is satisfied by MATH 215. To meet this General Education requirement, students will be able to demonstrate mathematical skills and quantitative reasoning, including the ability to:

interpret and draw inferences from appropriate mathematical models such as formulas, graphs, tables, or schematics;
represent mathematical information symbolically, visually, numerically, or verbally as appropriate; and
employ quantitative methods such as arithmetic, algebra, geometry, or statistics to solve problems.

Course-specific SLOs for MATH 215:

Recognize and be able to successfully integrate by hand using substitution, integration by parts and partial fractions
Use a brief Table of Integrals to perform integration
Show how various numerical integration schemes work: Left, Right, Midpoint, Trapezoid, Simpsons
Evaluate improper integrals
Use knowledge of integration to solve application problems
Apply a variety of tests for convergence of infinite series
Approximate functions using Taylor series and Fourier series
Use a computer algebra system to investigate various aspects of integration

Repeatable: No