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 |