Video Lectures
Lecture 1
Lecture 2 part a, Exponential functions
Lecture 2 part b, Logarithms and Inverse functions
Lecture 3: Change and Limits
Lecture 4a: Laws of Limits and examples
Lecture 5: Definition of Limit and Squeeze Theorem
Lecture 6: Continuity and the Intermediate Value Theorem
Lecture 7: Limits at Infinity
The Derivative as Rate of Change
Lecture 8a: Derivative as instantaneous rate of change and as limit of average rate of change
Lecture 8b
Lecture 8c
Lecture 9The Derivative as a Function
Lecture 10 a Derivatives of Polynomials and Exponential Functions
Lecture 10 b
Lecture 11 a The Product Rule and Quotient Rule
Lecture 11b
Lecture 12 Derivatives of trigonometric functions
Lecture 13a Proofs of the trig formulas
Lecture 13b Limit of sin(x)/x as x goes to zero and review of trig
Lecture 14 The Chain Rule
Lecture 15 Implicit Differentiation
Lecture 16 Using Implicit Differentiation to find the derivatives of the inverse trig functions
Lecture 17 Derivatives of log functions and logarithmic differentiation
Lecture 18 Differentials
Lecture 19a Max/Min exercises
Lecture 19b Max/Min exercises
Lecture 20 The Mean Value Theorem
Lecture 21 The shape of a curve
Lecture 22 Introduction to L'Hospital's Rule
Lecture 23 Max/Min Word problems part 1
Lecture 24 Max/Min Word problems part 2
Lecture 25 Introduction to the Integral
Lecture 26 The Definite Integral
Lecture 27 The Fundamental Theorem of Calculus part 2
Lecture 28 Change of Variables -- "u-substitution"