Dusty Wilson

Chapter 12: Vectors and the Geometry of Space

12.1: 3D Coordinates (self-study)
12.2: Vectors
12.3: The Dot Product
12.4: The Cross Product
12.5: Equations of Lines and Planes
12.6: Graphing: Quadric Surfaces

Chapter 10: Parametric Equations and Polar Coordinates

10.1: Graphing: Parametric Curves
10.2: Calculus with Parametric Curves
10.5: Conic Sections (self-study)

Chapter 13: Vector Functions

13.1: Graphing: Vector Functions and Space Curves
13.2: Derivatives and Integrals of Vector Functions
13.3: Arc Length and Curvature (my examples)
13.4: Motion in Space

Chapter 11: Infinite Sequences and SeriesCh 11

History of Power Series
Lessons on Convergence and Divergence
11.8: Power Series
11.9: Representations of Functions as Power Series
11.10: Taylor and Maclaurin Series
11.11: Applications of Taylor Polynomials

Chapter 14: Partial Derivatives

14.1: Functions of Several Variables (self-study)
14.3: Partial Derivatives
14.4: Tangent Planes and Linear Approximations
14.5: The Chain Rule
14.6: Directional Derivatives and the Gradient Vector

Chapter 15: Multiple Integrals

15.1: Double Integrals over Rectangles
15.2: Double Integrals over General Regions