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

Lecture 37: Infinite series and convergence tests

Lecture 15: Differentials, antiderivatives

Lecture 10: Curve sketching

Lecture 18: Definite integrals

Lecture 27: Trigonometric integrals and substitution

Lecture 36: Improper integrals

Lecture 16: Differential equations, separation of variables

Lecture 39: Final review

Lecture 11: Max-min problems

Lecture 12: Related rates

Lecture 29: Partial fractions

Lecture 13: Newton's method and other applications

Lecture 24: Numerical integration

Lecture 31: Parametric equations, arclength, surface area

Lecture 30: Integration by parts, reduction formulae

Lecture 22: Volumes by disks and shells

Lecture 28: Integration by inverse substitution; completing the square use

Lecture 19: First fundamental theorem of calculus

Lecture 14: Mean value theorem; Inequalities

Lecture 32: Polar coordinates; area in polar coordinates

Lecture 23: Work, average value, probability

Lecture 20: Second fundamental theorem

Lecture 21: Applications to logarithms and geometry

Lecture 25: Exam 3 review

Lecture 33: Exam 4 review

Lecture 35: Indeterminate forms - L'Hôspital's rule

Lecture 35: Indeterminate forms - L'Hôspital's rule

Lecture 06: Exponential and log. Logarithmic differentiation

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

1 - Derivatives, slope, velocity, rate of change

Lecture 11: Sketching (cont.); max-min problems

2 - Limits, Continuity, Trigonometric limits

mit.edu-dz.3303824020.03303824022

Lecture 12: Max-min (cont.); related rates