**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 |