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: Hyperbolic functions and exam 1 review
Lecture 09: Linear and quadratic approximations
Lecture 13: Newton's method and other applications
Lecture 14: Mean value theorem; Inequalities
Lecture 15: Differentials, antiderivatives
Lecture 16: Differential equations, separation of variables
Lecture 18: Definite integrals
Lecture 19: First fundamental theorem of calculus
Lecture 20: Second fundamental theorem
Lecture 21: Applications to logarithms and geometry
Lecture 22: Volumes by disks and shells
Lecture 23: Work, average value, probability
Lecture 24: Numerical integration
Lecture 27: Trigonometric integrals and substitution
Lecture 28: Integration by inverse substitution; completing the square
Lecture 30: Integration by parts, reduction formulae
Lecture 31: Parametric equations, arclength, surface area
Lecture 32: Polar coordinates; area in polar coordinates
Lecture 35: Indeterminate forms - L'Hôspital's rule
Lecture 36: Improper integrals
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