Here you can find links to all the videos that I’ve created for my Calculus I course.
Unit 1: Precalculus Review
1.1.2 Representations of Functions
1.1.3 Piecewise Defined Functions
1.2.2 Other Types of Functions
1.3.2 Combinations of Functions
A.D.2 Trigonometric Identities
A.D.3 Graphs of Trigonometric Functions
1.5.3 Inverse Trigonometric Functions
Unit 2: The Basics of Limits
2.3.2 Direct Substitution Property
Unit 3: More on Limits
2.5.2 Continuity of Elementary Functions
2.5.3 Intermediate Value Theorem
2.6.1 Idea of a Limit at Infinity
2.6.2 Techniques for Evaluating Limits at Infinity
Unit 4: The Definition of the Derivative
2.7.1 The Definition of the Derivative
Unit 5: Basic Differentiation Rules
3.1.2 New Derivatives from Old
3.1.3 Different Types of Derivative Problems
3.3.1 Derivatives of sin and cos
3.3.2 Derivatives of other Trigonometric Functions
Unit 6: The Chain Rule
3.4.2 The Chain Rule Together with Other Rules
3.4.3 Other Types of Chain Rule Problems
3.5.1 Implicit Differentiation
3.5.2 Applications of Implicit Differentiation
3.5.3 Derivatives of Inverse Trigonometric Functions
3.6.3 Logarithmic Differentiation
Unit 7: Rates of Change
3.7.1 Rates of Change in General
3.7.2 Rates of Change in Physics
3.7.3 Rates of Change in Social Sciences
3.9.1 Dealing with two Dependent Variables
3.9.2 Distance and Similar Triangle Problems
3.9.3 More Complicated Related Rates Problems
Unit 8: Basic Applications
3.10.3 Approximating Values of Functions
Unit 9: Derivatives, Limits, and the Mean Value Theorem
Unit 10: Derivatives and Graphs
4.1.1 Absolute and Local Maxima and Minima
4.1.2 Fermat’s Theorem and Critical Numbers
4.1.3 The Extreme Value Theorem and the Closed Interval Method
4.3.1 What f′ says about the graph of f
4.3.2 What f′′ says about the graph of f
4.3.3 The Basics of Curve Sketching
4.5.1 Guidelines for Sketching a Curve
Unit 11: Applied Optimization
4.7.1 Using a Formula to Optimize a Function
4.7.2 Distance, Area, Volume Problems
Unit 12: Additional Applications
Math to the People 