Linear and Quadratic Approximations

Lecture Description

Course Description

This introductory calculus course covers differentiation and integration of functions of one variable, with applications.

Course Index

1. Derivatives, slope, velocity, rate of change
2. Limits, Continuity, Trigonometric limits
3. Derivatives of products, quotients, sine, cosine
4. Chain rule, Higher derivatives
5. Implicit differentiation, inverses
6. Exponential and log Logarithmic differentiation; hyperbolic functions
7. Hyperbolic functions (cont.) and exam 1 review
8. Linear and Quadratic Approximations
9. Curve Sketching
10. Max-min problems
11. Related Rates