Lecture 1: Dot Product

Lecture 2: Determinants

Lecture 3: Matrices

Lecture 4: Square Systems

Lecture 5: Parametric Equations

Lecture 6: Kepler's Second Law

Lecture 7: Exam Review

Lecture 8: Partial Derivatives

Lecture 9: Max-Min and Least Squares

Lecture 10: Second Derivative Test

Lecture 11: Chain Rule

Lecture 12: Gradient

Lecture 13: Lagrange Multipliers

Lecture 14: Non-Independent Variables

Lecture 15: Partial Differential Equations

Lecture 16: Double Integrals

Lecture 17: Polar Coordinates

Lecture 18: Change of Variables

Lecture 19: Vector Fields

Lecture 20: Path Independence

Lecture 21: Gradient Fields

Lecture 22: Green's Theorem

Lecture 23: Flux

Lecture 24: Simply Connected Regions

Lecture 25: Triple Integrals

Lecture 26: Spherical Coordinates

Lecture 27: Vector Fields in 3D

Lecture 28: Divergence Theorem

Lecture 29: Divergence Theorem (cont.)

Lecture 30: Line Integrals

Lecture 31: Stokes' Theorem

Lecture 32: Stokes' Theorem (cont.)

Lecture 33: Maxwell's Equations

Lecture 34: Final Review

Lecture 35: Final Review (cont.)