Coordinate systems

Vectors

Partial differentation

Multiple integration

For students to develop the ability to compute basic vector quantities, including the dot and cross products, and derivatives of vector functions;

For students to develop a geometric understanding of vectors (without components), including the dot and cross products, and motion in space.

For students to develop the ability to visualize curves and surfaces in space;

For students to develop the ability to relate multiple representations of functions of several variables, such as the relationship between graphs and level sets.

For students to develop the ability to evaluate partial derivatives;

For students to develop the ability to set up optimization problems involving several variables;

For students to develop the ability to evaluate the gradient of a function;

For students to develop a geometric understanding of the gradient, including its relationship to level sets.

For students to develop the ability to evaluate multiple integrals;

For students to develop the ability to set up multiple integrals in standard coordinate systems;

Course Homepage Fall 2016

Course Calendar Fall 2016 (with links to online text)

Course Homepage Fall 2010

Course Calendar Fall 2010 (with links to online text)

All activities for Multivariable Calculus
(old list)

All small whiteboard questions for Multivariable Calculus
(What are SWBQs?)