Files are in PDF format.

Last updated 3/6/20

Here is the outline for each section.

Section
12.1-12.2 Vectors
12.3 Dot Product
12.4 Cross Product
12.5 Lines and Planes
12.6 Quadric Surfaces
13.1 Vector-Valued Functions and Space Curves
13.2 Calculus of Vector-Valued Functions
13.3 Arc Length, Curvature, and the TNB Frame
13.4 Acceleration
14.1 Multivariable Functions
14.2 Limits of Multivariable Functions
14.3 Partial Derivatives
14.4 Tangent Planes
14.5 The Multivariable Chain Rule
14.6 Directional Derivatives
14.7a Local Extrema
14.7b Global Extrema
14.8 Lagrange Multipliers
Optimization summary
Review for Exam II
15.1 Double Integrals
15.2 Iterated Integrals
15.3 Double Integrals over General Regions
15.4 Double Integrals in Polar Coordinates
15.6 Triple Integrals
15.7-8 Cylindrical and Spherical Coordinates
15.9 General Change of Variables
16.1 Vector Fields
16.2 Line Integrals
16.3 FTCLI
Review for Exam 3
16.4 Green's Theorem
16.5 Curl and Divergence
16.6 Parametric Surfaces
16.7 Surface Integrals
16.8 Stokes' Theorem
16.9 The Divergence Theorem
Review for final