The course will cover the following topics from the Essential Calculus, Early Transcendentals, 2ed Edition by James Stewart.
| Section in Textbook | Topic |
| Review of integration | |
| 5.5 |
Change of variables
|
| 6.1 |
Integration by parts
|
| 6.2 | Trig substitution |
| 6.3 | Partial fractions |
| 6.5 | Approximations |
| 6.6 |
Improper integrals
|
| 7.1 | Areas |
| 7.2 | Volumes |
| 7.3 | Volumes |
| 7.4 | Arclength |
| 7.7 |
Differential equations
|
| 8.1 | Sequences |
| 8.2 | Series |
| 8.3 |
Tests for series convergence
|
| 8.4 |
Tests for series convergence
|
| 8.5 | Power series |
| 8.6 |
Functions to power series
|
| 8.7 | Power series |
| 9.1 |
Parametric curves
|
| 9.2 |
Calculus with parametric curves
|
| 9.3 |
Polar coordinates
|
| 9.4 |
Calculus with polar curves
|