Lectures
P.1 Graphs & Models
P.2 Linear Models & Rates of Change
P.3 Functions & Their Graphs
1.1 A Preview of Calculus
1.2 Finding Limits Graphically & Numerically
1.3 Evaluating Limits Analytically
1.5 Infinite Limits
2.1 The Derivative and the Tangent Line Problem
2.2 Basic Differentiation Rules & Rates of Change
2.3 Product & Quotient Rules and Higher-Order Derivatives
2.4 The Chain Rule
2.5 Implicit Differentiation
2.6 Related Rates
3.1 Extrema on an Interval
3.2 Rolle's Theorem & Mean Value Theorem
3.3 Increasing & Decreasing Functions; First Derivative Test
3.4 Concavity & the Second Derivative Test
3.5 Limits at Infinity
3.6 A Summary of Curve Sketching
3.7 Optimization Problems
3.8 Newton's Method
3.9 Differentials
4.1 Antiderivatives & Indefinite Integration
4.2 Area
4.3 Riemann Sums & Definite Integrals
4.4 The Fundamental Theorem of Calculus
4.5 Integration by Substitution
1.4 One-Sided Limits & Continuity
P.1 Graphs & Models Expanded Lecture
P.2 Linear Models & Rates of Change Expanded Lecture