Unit 1 Limits and Continuity

1. Topics 1.5–1.6 · 25 minDetermining Limits Using Algebraic Properties of Limits · Determining Limits Using Algebraic Manipulation
2. Topics 1.7–1.9 · 20 minSelecting Procedures for Determining Limits · Determining Limits Using the Squeeze Theorem · Connecting Multiple Representations of Limits

Unit 2 Differentiation: Definition and Fundamental Properties

1. Topic 2.2 · 19 minDefining the Derivative of a Function and Using Derivative Notation

Unit 3 Differentiation: Composite, Implicit, and Inverse Functions

1. Topic 3.1 · 21 minThe Chain Rule
2. Topic 3.2 · 20 minImplicit Differentiation
3. Topics 3.3–3.4 · 22 minDifferentiating Inverse Functions · Differentiating Inverse Trigonometric Functions

Unit 4 Contextual Applications of Differentiation

1. Topics 4.4–4.5 · 21 minIntroduction to Related Rates · Solving Related Rates Problems

Unit 5 Analytical Applications of Differentiation

1. Topic 5.12 · 22 minExploring Behaviors of Implicit Relations

Unit 7 Differential Equations

1. Topics 7.1–7.2 · 22 minModeling Situations with Differential Equations · Verifying Solutions for Differential Equations

Unit 8 Applications of Integration

1. Topics 8.7–8.8 · 23 minVolumes with Cross Sections: Squares and Rectangles · Volumes with Cross Sections: Triangles and Semicircles
2. Topics 8.13, 9.3 · BC only · 19 minThe Arc Length of a Smooth, Planar Curve and Distance Traveled · Finding Arc Lengths of Curves Given by Parametric Equations

Unit 9 Parametric Equations, Polar Coordinates, and Vector-Valued Functions

1. Topics 9.1–9.2 · BC only · 21 minDefining and Differentiating Parametric Equations · Second Derivatives of Parametric Equations

Unit 10 Infinite Sequences and Series

1. Topics 10.3–10.4 · BC only · 21 minThe nth Term Test for Divergence · Integral Test for Convergence
2. Topics 10.12, 10.10 · BC only · 21 minLagrange Error Bound · Alternating Series Error Bound
3. Topic 10.11 · BC only · 19 minFinding Taylor Polynomial Approximations of Functions