Involves a study of limits, continuity, derivatives and integrals; computations of derivatives—sum, product, and quotient formulas, chain rule, implicit differentiation, applications of derivatives to optimization problems and related rate problems; mean-value theorem; definite integrals and fundamental theorem of calculus; application of definite integrals to computations of areas (length, surface) and volumes.
Objectives:
By the end of this course, students will be able to:
1. Demonstrate knowledge of basic precalculus concepts and skills;
2. Evaluate limits;
3. Recognize continuity and use the properties of continuous functions;
4. Find derivatives of algebraic and trigonometric functions using the definition or basic rules of differentiation;
5. Find rates of change;
6. Solve related rate problems;
7. Analyze and sketch the graphs of curves;
8. Find extreme values in optimization problems.
