Course Overview

Math 261

1. Study of various types of functions including trigonometric functions.
2. Study of limits and continuity.
3. Study of derivatives of explicit and implicit equations in two variables.
4. Study of applications of derivatives to solve related rate problems.
5. Study of applications of derivatives to graph functions.
6. Study of applcations of derivatives to solve optimization problems.
7. Study of integration using riemann sum.
8. Study of definite integration for finding enclosed area by different functions.
9. Study of definite integration for finding volume of solids.
10. Study of definite integration for calculating amount of work in physics applications.
11. Study of various theorems such as

• The Extereme Value Theorem
• The Intermedite Value Theorem
• Fermat's Theorem
• Rolle's Theorem
• The Mean Value Theorem
• The Fundamental Theorem of Calculus

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