Precalculus

by Carl Stitz & Jeff Zeager

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Publisher
Lakeland Community College & Lorain County Community College
Subjects
Mathematics, Precalculus
Licence
CC BY-NC-SA 3.0, as LibreTexts states it. Non-commercial use only.
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. Acknowledgements
  7. Preface
  8. 1: Relations and Functions
  9. 1.1: Sets of Real Numbers and the Cartesian Coordinate Plane
  10. 1.2: Relations
  11. 1.3: Introduction to Functions
  12. 1.4: Function Notation
  13. 1.5: Function Arithmetic
  14. 1.7: Transformations
  15. 1.6: Graphs of Functions
  16. 2: Linear and Quadratic Functions
  17. 2.1: Linear Functions
  18. 2.2: Absolute Value Functions
  19. 2.3: Quadratic Functions
  20. 2.4: Inequalities with Absolute Value and Quadratic Functions
  21. 2.5: Regression
  22. 3: Polynomial Functions
  23. 3.1: Graphs of Polynomials
  24. 3.2: The Factor Theorem and the Remainder Theorem
  25. 3.3: Real Zeros of Polynomials
  26. 3.4: Complex Zeros and the Fundamental Theorem of Algebra
  27. 4: Rational Functions
  28. 4.1: Introduction to Rational Functions
  29. 4.2: Graphs of Rational Functions
  30. 4.3: Rational Inequalities and Applications
  31. 5: Further Topics in Functions
  32. 5.1: Function Composition
  33. 5.2: Inverse Functions
  34. 5.3: Other Algebraic Functions
  35. 6: Exponential and Logarithmic Functions
  36. 6.1: Introduction to Exponential and Logarithmic Functions
  37. 6.2: Properties of Logarithms
  38. 6.3: Exponential Equations and Inequalities
  39. 6.4: Logarithmic Equations and Inequalities
  40. 6.5: Applications of Exponential and Logarithmic Functions
  41. 7: Hooked on Conics
  42. 7.1: Introduction to Conics
  43. 7.2: Circles
  44. 7.3: Parabolas
  45. 7.4: Ellipses
  46. 7.5: Hyperbolas
  47. 8: Systems of Equations and Matrices
  48. 8.1: Systems of Linear Equations- Gaussian Elimination
  49. 8.2: Systems of Linear Equations- Augmented Matrices
  50. 8.3: Matrix Arithmetic
  51. lek
  52. 8.4: Systems of Linear Equations: Matrix Inverses
  53. 8.5: Determinants and Cramer’s Rule
  54. 8.6: Partial Fraction Decomposition
  55. 8.7: Systems of Non-Linear Equations and Inequalities
  56. 9: Sequences and the Binomial Theorem
  57. 9.1: Sequences
  58. 9.2: Summation Notation
  59. 9.3: Mathematical Induction
  60. 9.4: The Binomial Theorem
  61. 10: Foundations of Trigonometry
  62. 10.1: Angles and their Measure
  63. 10.2: The Unit Circle - Cosine and Sine
  64. 10.3: The Six Circular Functions and Fundamental Identities
  65. 10.4: Trigonometric Identities
  66. 10.5: Graphs of the Trigonometric Functions
  67. 10.6: The Inverse Trigonometric Functions
  68. 10.7: Trigonometric Equations and Inequalities
  69. 11: Applications of Trigonometry
  70. 11.1: Applications of Sinusoids
  71. 11.2: The Law of Sines
  72. 11.3: The Law of Cosines
  73. 11.4: Polar Coordinates
  74. 11.5: Graphs of Polar Equations
  75. 11.6: Hooked on Conics Again
  76. 11.7: Polar Form of Complex Numbers
  77. 11.8: Vectors
  78. 11.9: The Dot Product and Projection
  79. 11.10: Parametric Equations
  80. Back Matter
  81. Index
  82. Glossary
  83. Detailed Licensing