The course offers an introduction to the calculus of single-variable functions, covering limits, fundamental principles of differentiation and integration, techniques for finding derivatives of algebraic and trigonometric functions, and applications of derivatives.
Prerequisites
MAT 181 or higher with a grade of “C” or higher or math placement as established by District policy
1. Analyze mathematical functions.
2. Accurately compute limits of functions.
3. Apply limits to determine if a function is continuous.
4. Compute derivatives using the limit definition of the derivative.
5. Compute derivatives using standard rules of differentiation.
6. Define the geometric concept of a derivative.
7. Utilize differentiation techniques to analyze the behavior of mathematical functions.
8. Define the geometric interpretation of the definite integral.
9. Compute definite and indefinite integrals using fundamental integration techniques.
10. Apply differentiation methods to solve optimization problems.
11. Apply differentiation techniques to solve related rates problems.
12. Apply differentiation to solve problems in physics.