Math& 152 ~ Calculus II  
 
 
 

Course Description
This course covers the study of indefinite integrals, applications of integration, techniques of integration, and an introduction to differential equations.

Pre-requisite
Math 151 with a grade of C or higher.

Mode of Delivery (Modes)
Lecture

Offered
Fall, Winter, Spring

Required for:
MATH 153, PHYS &222 (or concurrent), PHYS &223 (or concurrent)


Course Content

Text: Calculus: Early Transcendentals, 5th Ed., Stewart, Cengage

5. Integrals
5.1 Areas and Distances
5.2 The Definite Integral
5.3 The Fundamental Theorem of Calculus
5.4 Indefinite Integrals and the Total Change Theorem
5.5 The Substitution Rule

6. Applications of Integration
6.1 Areas between Curves
6.2 Volume
6.3 Volumes by Cylindrical Shells
6.4 Work
6.5 Average Value of a Function

7. Techniques of Integration
7.1 Integration by Parts
7.2 Trigonometric Integrals
7.3 Trigonometric Substitution
7.4 Integration of Rational Functions by Partial Fractions
7.5 Strategy for Integration
7.6 Integration Using Tables and Computer Algebra System
7.7 Approximate Integration
7.8 Improper Integrals

8. Further Applications of Integration
8.1 Arc Length
8.2 Area of a Surface of Revolution
8.3 Discovery Project: Rotating on a Slant
8.4 Applications to Physics and Engineering
8.5 Applications to Economics and Biology
8.6 Probability