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 