Precalculus (Schaum) – Fred Safier – 1st Edition


This text reviews algebra and trigonometry and prepares students for first year calculus courses at university. It shows in simple steps how to apply the basic principles to actual problems, and is suitable for struggling students who want to master the basics before starting a university level calculus course.

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  • 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
  • Citation

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