Lesson Presentations

 Section 2.1 - Rates of Change and Tangents to Curves and Section 2.2 - Limits of a Function and Section

Section 2.3 - Definition of a Limit and Section 2.4 - One-sided Limits

Section 2.5 - Continuity 

Section 2.6 - Limits Involving Infinity: Asymptotes of Graphs 

 Section 3.1 - Tangents and the Derivative at a Point

Section 3.2 - The Derivative as a Function 

 Section 3.3 - Differentiation Rules and Section 3.4 - The Derivative as a Rate of Change

Section 3.5 - Derivatives of Trigonometric Functions and Section 3.6 - The Chain Rule 

Section 3.7 - Implicit Differentiation and Section 3.8 - Derivatives of Inverse Functions and Logarithms

Section 3.9 - Inverse Trigonometric Functions and Section 3.11 - Linearization and Differentials

Section 3.10 - Related Rates

Section 4.1 - Extreme Values of Functions and Section 4.2 - The Mean Value Theorem

Section 4.3 - Monotonic Functions and the First Derivative Test and Section 4.4 - Concavity & Curve Sketching

Section 4.5 - Indeterminate Forms and L'Hopital's Rule and Section 4.6 - Applied Optimization

Section 4.7 - Newton's Method

Section 4.8 - Antiderivatives, Section 5.1 - Area and Estimating w/Finite Sums and Section 5.2 - Sigma Notation and Limits of Finite Sums

Section 5.3 - The Definite Integral and Section 5.4 - The Fundamental Theorem of Calculus

Section 5.5 - Indefinite Integrals and the Substitution Method

Section 5.6 - Substitution and Area Between Curves

Section 6.1 - Volumes Using Cross-sections and Section 6.2 - Volumes Using Cylindrical Shells

Section 6.3 - Arc Length

Section 6.4 - Areas of Surfaces of Revolution

Section 6.5 - Work and Fluid Forces