MATH 215 - Calculus II

Credit Hours: 4
Lecture Hours: 4
Laboratory Hours: 0

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: General Education SLO’s:

1.Students will demonstrate the ability to interpret and draw inferences from mathematical models such as formulas, graphs, tables, and schematics.
Students will demonstrate the ability to represent mathematical information symbolically, visually, numerically and verbally.
Students will demonstrate the ability to employ quantitative methods such as, arithmetic, algebra, geometry, or statistics to solve problems.
Students will demonstrate the ability to estimate and check mathematical results for reasonableness.
Students will demonstrate the ability to recognize the limits of mathematical and statistical methods.

Course-specific SLO’s:

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