Table of Contents

1. Basic Algebraic Operations.

2. Geometry.

3. Functions and Graphs.

4. The Trigonometric Functions.

5. Systems of Linear Equations; Determinants.

6. Factoring and Fractions.

7. Quadratic Equations.

8. Trigonometric Functions of Any Angle.

9. Vectors and Oblique Triangles.

10. Graphs of the Trigonometric Functions.

11. Exponents and Radicals.

12. Complex Numbers.

13. Exponential and Logarithmic Functions.

14. Additional Types of Equations and Systems of Equations.

15. Equations of Higher Degree.

16. Matrices.

17. Inequalities.

18. Variation.

19. Sequences and the Binomial Theorem.

20. Additional Topics in Trigonometry.

21. Plane Analytic Geometry.

22. Introduction to Statistics.

23. The Derivative.

24. Applications of the Derivative.

25. Integration.

26. Applications of Integration.

27. Differentiation of Transcendental Functions.

28. Methods of Integration.

29. Expansion of Functions in Series.

30. Differential Equations.

Supplementary Topics.

Appendix A: Study Aids.

Appendix B: Units of Measurement; The Metric System.

Appendix C: The Graphing Calculator.

Appendix E: A Table of Integrals