Week 1: Three Dimensional Coordinates, Vector Dot and Cross Products
Week 2: Lines and Planes in Three Space, Quadric Surfaces in Three Space
Week 3: Vector Valued Functions, Derivatives and Integrals of Vector Functions
Week 4: Arc length and curvature, Motion in space
Week 5: Functions of Several Variables, Limits and continuity, Partial Derivatives
Week 6: Tangent Planes and Linear Approximations, Chain Rule, Directional derivatives
Week 7: Maximum and minimum values, Lagrange Multipliers
Week 8: Double Integrals Over Rectangles, Double Integrals in Polar Coordinates
Week 9: Applications of Double Integrals, Surface area
Week 10: Triple Integrals in Cartesian, Cylindrical, and Spherical coordinates
Week 11: Vector Fields, Conservative vector fields and potential functions
Week 12: Fundamental theorem of line integrals, Green’s Theorem
Week 13: Curl and divergence, Surface Integrals
Week 14: Stokes’s Theorem, Divergence Theorem