Math Lessons

 

Pre-Calculus (completed on 2/23/08)

 

P. Prerequisites: Fundamental Concepts of Algebra

1. Graphs, Functions, and Models

2. Polynomial and Rational Functions

3. Exponential and Logarithmic Functions

4. Trigonometric Functions

5. Analytic Trigonometry

6. Additional Topics in Trigonometry

7. Systems of Equations and Inequalities

8. Matrices and Determinants

9. Conic Sections and Analytic Geometry

10. Sequences, Induction, and Probability

11. Introduction to Calculus

 

 

Geometry (to be completed by 6/30/08)

 

1. Lines, Angles, and Triangles

2. Methods of Proof

3. Congruent Triangles

4. Parallel Lines, Distances, and Angle Sums

5. Parallelograms, Trapezoids, Medians, and Midpoints

6. Circles

7. Similarity

8. Trigonometry

9. Areas

10. Regular Polygons and the Circle

11. Locus

12. Analytic Geometry

13. Inequalities and Indirect Reasoning

14. Improvement of Reasoning

15. Constructions

16. Proofs of Important Theorems

17. Extending Plane Geometry into Solid Geometry

18. Transformational Geometry

• Reference: Schaum's Outlines, Geometry (Second Edition), McGraw-Hill, 1989