Mathematics II
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 |