Material on determinants, dot and cross products
.
Material on lines and planes
.
Material on derivatives and curves
.
Length and curvature (and torsion)
.
Acceleration
.
Problems from Chapter 13
.
Review for exam 1
.
Partial Derivatives
.
Chain Rule and Implicit Differetiation
.
Differentiable and Directional Derivatives
.
More Differentiable and Directional Derivatives
.
Max/min problems
.
Lagrange Multipliers
.
Lagrange Multipliers, part II
.
Double Integrals
.
Iterated Integrals
.
Review for exam 2
.
Polar double integrals
.
Triple Integrals
.
Cylindrical and spherical coordinates
.
Coordinate transformations
.
Coordinate transformations II
.
Line integrals I
.
Line integrals II
.
Line integrals III
.
Green's theorem
.
Parametrized Surfaces and surface integrals
.
Flux integrals
.
Stokes' Theorem and the Divergence Theorem
.
More parametrized Surfaces and surface integrals
.
Review for final
.