Schedule of Lectures
Lecture Section Topics
1 Vectors in the Plane
2 Vectors in Three Dimensions
3 Dot Product
4 Cross Product
5 Planes in Three-Space
6 Parametric equations
7 Vector-Valued Functions
8 Calculus of Vector-Valued Functions
9 Arc-Length and Speed; Curvature
10 Motion in Three-Space; Planetary Motion
11 Functions of Two or More Variables
12 A Survey of Quadric Surfaces
13 Limits and Continuity
14 Partial Derivatives
15 Differentiability and Tangent Planes
16 Gradient and Directional Derivatives
17 Chain Rule
18 Optimization
19 Lagrange Multipliers