Description

Focuses on definite, indefinite, and improper integrals, techniques of integration and using integration to solve area, volume, work and other application problems.

Grading Basis

Graded

Prerequisites

MATH& 151 with a grade of C (2.0) or better or appropriate placement score

### Course Learning Outcomes

### Core Topics

- Area and distance problems using summation
- Indefinite and definite integral
- Fundamental Theorem of Calculus
- The substitution rule to anti-differentiate
- Using integrals to solve area and volume problems
- Using integrals to solve Work and other similar application problems
- Integrating fundamental and transcendental functions
- Evaluating integrals using techniques of integration including integration by parts, trigonometric substitutions, partial fractions
- Review L’Hopital’s Rule
- Evaluating improper integrals
- (Optional) Using integrals to evaluate arc length, area, and surface area problems
- (Optional) Exponential growth and decay problems
- (Optional) Integrals for probability and statistics