Calculus Tutorial

All of the YouTube videos on this page were created and posted by Professor Dave Explains. This series is a thorough approch to mathematics that begins with basic arithmatic and ends with vector calculus. We hope that you find these tutorials useful.

Intro to Calculus	Differentiation 1: Tangent Line Slope	Differentiation 2: Rate of Change
Limits	Definition of Derivatives	Derivatives of Polynomials
Derivatives of Trig Functions	The Chain Rule	Derivatives of Logs and Exponentials
Implicit Differentiation	Higher Derivatives	Related Rates
Local Maxima and Minima	Graphing Functions and Derivatives	Optimization
L’Hospital’s Rule	Integration: Area under a Curve	Fundamental Theorum of Calculus
Properties of Integrals	Indefinite Integrals	Trigonometric Integrals
Integration by Substitution	Integration by Parts	Integration by Trig Substitution
Advanced Integration	Improper Integrals	The Area between Two Curves
Calculating Volume by Revolution	Calculating Volume by Shells	Mean Value Theorem
Convergence and Divergence	Estimating Sums	Alternating Series
Power Series	Taylor and Maclaurin Series	Hyperbolic Functions
3D Coordinates and the Right Hand Rule	Vectors	Vector Dot Product