MATH 2220 Multivariable Calculus

We used Vector Calculus by Marsden and Tromba as the textbook for this course.

• Week 1: Vectors, Inner Products and Matrices [handout]


• Week 2: Differentiation of Multivariate Functions [handout]


• Week 3: Properties of the Derivative [handout]


• Week 4: Gradients, Directional Derivatives and Higher Order Derivatives [handout]


• Week 5: The Implicit Function Theorem [handout]


• Week 6: Extrema of Real-Valued Functions [handout]


• Week 7: Constrained Extrema and Riemann Integration [handout]


• Week 8: Double Integrals over More General Regions [handout]


• Week 9: Triple Integrals, Cylindrical and Spherical Coordinates [handout]


• Week 10: Change of Variables [handout]


• Week 11: Line Integrals [handout]


• Week 12: Surface Integrals [handout]


• Week 13: Green's, Stokes' and Divergence Theorems [handout]