### Introduction

This unit describes techniques for using differentiation to solve many important problems. Part C of this unit presents the Mean Value Theorem and introduces notation and concepts used in the study of integration, the subject of the next two units.

**Part A: Approximation and Curve Sketching**

- Session 23: Linear Approximation
- Session 24: Examples of Linear Approximation
- Session 25: Introduction to Quadratic Appoximation
- Session 26: Using Quadratic Approximations
- Session 27: Sketching Graphs I - Polynomials and Rational Functions
- Session 28: Sketching Graphs II - General Strategies
- Problem Set 3

**Part B: Optimization, Related Rates and Newton’s Method**

- Session 29: Optimization Problems
- Session 30: Optimization Problems II
- Session 31: Related Rates
- Session 32: Ring on a String
- Session 33: Newton’s Method
- Problem Set 4

**Part C: Mean Value Theorem, Antiderivatives and Differential Equations**