In this course, you will extend the ideas of limits, continuity, derivatives and integrals to parametric and polar functions. You will apply a variety of techniques to calculating integrals to calculate areas, volumes of rotation, arc length and surface area of rotated functions. You will evaluate indeterminate forms of limits and integrals and you will calculate sums of infinite series. You will construct Taylor polynomials. By the end of the course you should be able to do the following:
1. Evaluate and approximate integrals using a variety of techniques and apply integration to solve problems involving area, volume, work, and differential equations.
2. Represent functions using parametric equations, polar equations, and Taylor series and apply calculus techniques to these representations
If you need a copy of the course overview, click on this link: Class outline
If you are in the course and want to see your progress, click on this link: Class Standings
If you need a list of collected assignments, click on this link: Graded Assignments.
If you wish to return to Mr. Smith's home page, click on the link: Home Page.
For calculus resources based on your text book, click on the link below:
Math 185 Calculus
If you wish to link to other resources for calculus, chick on the following: Internet math