This course is designed to help students understand the meaning of derivatives and how to apply them to critical contexts in mathematics and science. After introductory material, students will learn to calculate the position, velocity, and acceleration of straight-line motion and rates of change in applied contexts other than motion. They will also focus on related rates problems and techniques for approximating values of a function using local linearity and linearization. Finally, the course will cover using L'Hospital's rule for determining limits of indeterminate forms.
Overview
Syllabus
- Introduction.
- 4.1 Interpreting the Meaning of the Derivative in Context.
- 4.2 Straight-Line Motion: Connecting Position, Velocity, and Acceleration.
- 4.3 Rates of Change in Applied Contexts Other Than Motion.
- 4.4 Introduction to Related Rates.
- 4.5 Solving Related Rates Problems.
- 4.6 Approximating Values of a Function Using Local Linearity and Linearization.
- 4.7 Using L'Hospital's Rule for Determining Limits of Indeterminate Forms.
- Summary.
Taught by
Krista King
