Description

Introduction to limits, derivatives, higher-order derivatives and implicit differentiation. Applications involving maximums and minimums, and related-rates. Analysis of graphs of functions.

Grading Basis

Graded

Prerequisites

MATH& 142 with a C (2.0) or better or appropriate placement score

### Course Learning Outcomes

### Core Topics

- Manipulate functions and their graphs
- Understand and evaluate limits
- Calculate derivatives from the definition
- Calculate derivatives using the rules of differentiation for fundamental and transcendental functions; implicit differentiation
- Use derivatives to solve related rates problems
- Use differentials for linear approximations
- Analyze graphs using derivatives
- Use derivatives to solve optimization problems