| Prerequisites |
You need
to be able to use algebra and
trigonometric techniques easily, and you need to be able to quickly
calculate
derivatives and basic anti-derivatives from Calculus I. |
| Topics |
This
course covers further topics in single-variable calculus, including
techniques of integration; applications of integration; convergence of
sequences and series; parameterized curves; and polar coordinates.
|
Goals
|
By the end of the appropriate section you should be able
- Compute definite and indefinite integrals using a variety of techniques
- Apply integration in modeling settings, drawn from mathematics and the natural and social sciences
- Understand and determine convergence of infinite series, including Taylor series
- Understand and use parameterizations of curves, including in polar coordinates
|