# Syllabus

Week |
Topic(s) |

1 |
Elements of Analytic Geometry, Cartesian Coordinates in the Plane: Lines in the Plane, Review of Trigonometry |

2 |
Polar Coordinates, Change of Coordinates: Rotation and Translation |

3 |
Vectors in the Plane: Directed Line Segments and Vectors, Algebra of Vectors |

4 |
Scalar Product, Angle Between Two Vectors, Lines, Half Lines and Line Segments |

5 |
Distance, Bisectors, Symmetry, Convex Sets, Half Planes, Polygons |

6 |
Conic Sections: Fundamental Definitons, The Parabola, Central Conics The Ellipse, The Hyperbola, Asymptotes of an Hyperbola |

7 |
Conic Sections: Fundamental Definitons, The Parabola, Central Conics The Ellipse, The Hyperbola, Asymptotes of an Hyperbola |

8 |
Conic Sections: Fundamental Definitons, The Parabola, Central Conics The Ellipse, The Hyperbola, Asymptotes of an Hyperbola |

9 |
Algebra of Vectors in 3-Space, Scalar Product and Cross Product of Vectors in 3-Space |

10 |
Planes and Lines in 3-Space, Distance from a Point to a Plane or to a Line |

11 |
The General Quadratic Equation, Tangents and Polars Families of Planes and Lines, Vectors in n-Space, Vectors with Complex Components |

12 |
Surfaces: Spheres and Cylinders, Surfaces of Revolutions |

13 |
Canonical Equations of Quadratic Surfaces, Change of Coordinates in 3-Space, Cylindrical Coordinates |

14 |
Spherical Coordinates, The General Quadratic Equations |