Introduction: What Is Calculus? (3:22)
Functions and Their Graphs (4:44)
The Intuitive Definition of Limit (1:28)
Actually Finding the Limit (4:08)
Review of Functions and Limits (1:20)
Introduction: Left and Right Hand Limits (4:55)
Limits Involving Infinity (6:36)
Limits Where X Approaches Infinity (5:16)
Determining Limits by Inspection (3:54)
Review of One-Sided Limits and Limits Involving Infinity (0:51)
Introduction: Continuity (2:31)
Determining Continuity (11:11)
The Derivative Definition (3:41)
Derivative Examples (2:51)
Derivative Shortcuts (3:58)
Review of Continuity and Differentiability (1:35)
Rules to Lessen the Work: The Power Rule (4:53)
Rules to Lessen the Work: The e Rule (1:54)
Rules to Lessen the Work: Natural Logarithms (0:42)
Rules to Lessen the Work: The Product Rule (2:37)
Rules to Lessen the Work: The Quotient Rule (1:53)
Applying the Power Rule (2:00)
Applying the Product Rule (2:36)
Review of Derivative Rules and Tangent Lines (1:45)
Higher Derivatives (2:52)
Application of the Chain Rule (2:38)
Application of the Chain Rule and the Power Rule (5:45)
Chain Rule and Power Rule: Special Cases (1:34)
Review of Higher Derivatives and the Chain Rule (0:52)
Functions: Are They Increasing or Decreasing? (5:55)
Determining Concavity (4:17)
Review of Curve Sketching (1:50)
First Derivative Test for Local Extrema (3:17)
Second Derivative Test for Local Extrema (4:39)
Sample Minimum/Maximum Problem (5:27)
Word Problem: Uncle Skippy's Edible Dirt (12:55)
Review of Extrema and Max/Min Word Problems (1:41)
Derivatives and Distance, Motion, Velocity, and Acceleration (5:26)
Word Problem: Velocity and Acceleration (4:54)
Word Problem: Position Function (2:15)
The Definition of the Antiderivative (7:09)
Review of Position, Velocity and Antiderivatives (1:16)
Integration Rules: Integrating a Constant and the Power Rule (7:25)
Integration Rules: Natural Logarithms and the Exponential Rule (1:39)
Simplification and Substitution (5:35)
Application of Substitution (2:18)
Review of Integration Techniques (1:01)
The Definite Integral (3:26)
The Definite Integral in Action (6:47)
The Fundamental Theorem of Calculus (1:42)
Area Between Two Curves (6:32)
Review of Definite Integrals and Riemann Sums (1:04)