David Jerison

Lecture 01: Derivatives, slope, velocity, rate of change

Lecture 02: Limits, continuity. Trigonometric limits.

Lecture 03: Derivatives of products, quotients, sine, cosine.

Lecture 04: Chain rule. Higher derivatives.

Lecture 05: Implicit differentiation, inverses.

Lecture 06: Exponential and log. Logarithmic differentiation; hyperbolic functions.

Lecture 07: Continuation and Review

Lecture 38: Taylor's series

Lecture 01: Derivatives, slope, velocity, rate of change.

Lecture 09: Linear and quadratic approximations