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