• 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 2010
• Course Calendar Fall 2010 (with links to online text)

See this page.