Weekly schedule

Week 1

Vectors in 2-3 dimensions, dot product

Week 2

Cross product, the equation of a plane

Week 3

Quadratic surfaces, cylindrical and spherical coordinates and vector valued functions

Week 4

Calculus of vector valued functions, arc length and speed

Week 5

Curvature and motion in 3-space

Midterm 1

Week 6

Multi-variable functions and their limits, partial derivatives

Week 7

Differentiability, gradient and directional derivatives

Week 8

The chain rule and optimization

Midterm 2

Week 9

Integration in 2 variables

Week10

Integration on general regions, triple integrals

Week 11

Integration in polar and cylindrical coordinates

Midterm 3

Week 12

Vector fields, line integrals and conservative fields

Week 13

Green and Stoke’s theorems