Course Syllabus

Week

Topic(s)

1

Points: The Distance  and Midpoint Formulas

2

Graphs of Equations in two Variables: Intercepts, Symmetry

3

Lines: Slope of a line, Graphing a Line, Parallel lines, Perpendicular Lines

4

Circles: Standard Form of the Equation of a Circle, Graphing a Circle, 

Finding the Intercepts of a Circle

5

Planes: Lines and Planes

6

Area: Area of Squares, Rectangles, Parallelograms, Triangles, 

Circles, Sectors and Circle Segments

7

Conics: The Parabola, Ellipse, Hyperbola

8

Conics: The Parabola, Ellipse, Hyperbola

9

Volume and Area of Solid Objects: 

Prisms, Pyramids, Cylinders, Cones, 

Spheres, Cubes

10

Volume and Area of Solid Objects: Prisms, Pyramids, Cylinders, Cones, Spheres, Cubes

11

Projective Geometry: Introduction, 

Projectivities, Perspectivities, 

The Principal of Duality

12

Projective Geometry: Elementary Properties of Points and Lines, 

The Theorem of Desargues and Pappus

13

Projective Geometry: Conics, 

The Intersection of a Line and a Conic, 

Desargues’ Conic Theorem,

14

Applications