Mathematics II

Course List
Week Topic File
1 Conics and parametric curves View
1 Parametric curves View
2 Polar coordinates View
2 Conics in polar coordinates, tangents to polar curves, areas in polar coordinates, lengths of polar curves View
3 Analytic geometry in 3D, vectors View
3 Dot product and projections, cross product, planes View
4 Planes and Lines, Quadratic Surfaces View
4 Vector Functions of One Variable, Curves and Parametrizations View
5 Cylindrical and Spherical Coordinates, Functions of Several Variables View
5 Limits and Continuity, Partial Derivatives, Higher Order Derivatives View
6 The Chain Rule, Linear Approximations, Differentiability and Differentials, Gradients and Directional Derivatives View
6 Gradients and Directional Derivatives (cont.), Implicit Functions View
7 The Implicit Function Theorem, Extreme Values View
7 Extreme Values of Funtions Defined on Restricted Domains, Lagrange Multipliers View
8 Lagrange Multipliers (cont.) View
8 Double Integrals, Iteration of Double Integrals in Cartesian Coordinates View
9 Change of Variavles in Double Integrals View
9 Moments and Centers of Mass, Change of Variables in Triple Integrals View
10 Applications of Multiple Integrals, Vector and Scalar Fields View
11 Conservative Fields, Line Integrals View
11 Line Integrals, Line Integrals of Vector Fields View
12 Line Integrals of Vector Fields (cont.), Surfaces and Surface Integrals View
12 Surfaces and Surface Integrals (cont.), Oriented Surfaces and Flux Integrals View
13 Gradient, Divergence, and Curl, Green's Theorem in the Plane View
13 The Divergence Theorem in 3-Space, Stokes' Theorem View