Table of Contents

Schaum's Outline of Precalculus, 2ed

1. Preliminaries

2. Polynomials

3. Exponents

4. Rational and Radical Expressions

5. Linear and Non-Linear Equations

6. Linear and Non-Linear Inequalities

7. Absolute Value in Equations and Inequalities

8. Analytic Geometry

9. Functions

10. Linear Functions

11. Transformations and Graphs

12. Quadratic Functions

13. Algebra of Functions; Inverse Functions

14. Polynomial Functions

15. Rational Functions

16. Algebraic Functions; Variation

17. Exponential Functions

18. Logarithmic Functions

19. Exponential and Logarithmic Equations

20. Trigonometric Functions

21. Graphs of Trignometric Functions

22. Angles

23. Trigonometric Identities and Equations

24. Sum, Difference, Multiple, and Half-Angle Formulas

25. Inverse Trigonometric Functions

26. Triangles

27. Vectors

28. Polar Coordinates; Parametric Equations

29. Trigonometric Form of Complex Numbers

30. Systems of Linear Equations

31. Gaussian and Gauss-Jordan Elimination

32. Partial Fraction Decomposition

33. Non-Linear Systems of Equations

34. Introduction to Matrix Algebra

35. Matrix Multiplication and Inverses

36. Determinants and Cramer's Rule

37. Loci; Parabolas

38. Ellipses and Hyperbolas

39. Rotation of Axes

40. Conic Sections

41. Sequences and Series

42. The Principle of Mathematical Induction

43. Special Sequences and Series

44. The Binomial Theorem

45. Limits, Continuity, Derivatives