Math 1230

Calculus II

Text: James Stewart, Single Variable Calculus (Concepts & Contexts), 3rd edition, Brooks/Co

Topic

Section
Integration  

Substitution

 5.5

Integration by Parts

5.6

Trig Substitution and Partial Fractions

5.7

More Partial Fractions

 Appendix G

Using Tables and CAS

5.8

Approximating Integrals

5.9

Improper Integration

 5.10
Applications of Integration  

Ares Between Curves

6.1

Volume

 6.2

Arc Length

6.3

Average Value

6.4

Work

 6.5

Probability

 6.7
Differential Equations  

Modeling

 7.1

Direction Fields and Euler's Method

 7.2

Separable Equations

 7.3

Exponential growth and decay

7.4

Logistic Equation

7.5
Infinite Sequences and Series  

Sequences

 8.1

Series

 8.2

Integral Test and Comparison Test

8.3

Other Convergent Tests

8.4

Power Series

8.5

Representing Functions with Power Series

8.6

Taylor and Maclaurin Series

8.7

Binomial Series

 8.8

Applications of Taylor Polynomials

8.9