Precalculus

by Carl Stitz & Jeff Zeager

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Publisher
Lakeland Community College & Lorain County Community College
Subjects
Mathematics
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

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  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1: Relations and Functions
  7. 1.1: Sets of Real Numbers and the Cartesian Coordinate Plane
  8. 1.1.1: exercise temp
  9. 1.2: Relations
  10. 1.3: Introduction to Functions
  11. 1.4: Function Notation
  12. 1.5: Function Arithmetic
  13. 1.6: Graphs of Functions
  14. 1.7: Transformations
  15. 1.E: Relations and Functions (Exercises)
  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. 2.E: Linear and Quadratic Functions (Exercises)
  23. 3: Polynomial Functions
  24. 3.1: Graphs of Polynomials
  25. 3.2: The Factor Theorem and the Remainder Theorem
  26. 3.3: Real Zeros of Polynomials
  27. 3.4: Complex Zeros and the Fundamental Theorem of Algebra
  28. 3.E: Polynomial Functions (Exercises)
  29. 4: Rational Functions
  30. 4.1: Introduction to Rational Functions
  31. 4.2: Graphs of Rational Functions
  32. 4.3: Rational Inequalities and Applications
  33. 4.E: Rational Functions (Exercises)
  34. 5: Further Topics in Functions
  35. 5.1: Further Topics in Functions (Exercises)
  36. 5.2: Function Composition
  37. 5.3: Inverse Functions
  38. 5.4: Other Algebraic Functions
  39. 6: Exponential and Logarithmic Functions
  40. 6.1: Introduction to Exponential and Logarithmic Functions
  41. 6.2: Properties of Logarithms
  42. 6.3: Exponential Equations and Inequalities
  43. 6.4: Logarithmic Equations and Inequalities
  44. 6.5: Applications of Exponential and Logarithmic Functions
  45. 6.E: Exponential and Logarithmic Functions (Exercises)
  46. 7: Hooked on Conics
  47. 7.1: Introduction to Conics
  48. 7.2: Circles
  49. 7.3: Parabolas
  50. 7.4: Ellipses
  51. 7.5: Hyperbolas
  52. 7.E: Hooked on Conics (Exercises)
  53. 8: Systems of Equations and Matrices
  54. 8.1: Systems of Linear Equations- Gaussian Elimination
  55. 8.2: Systems of Linear Equations- Augmented Matrices
  56. 8.3: Systems of Linear Equations- Matrix Inverses
  57. 8.4: Matrix Arithmetic
  58. 8.5: Determinants and Cramer’s Rule
  59. 8.6: Partial Fraction Decomposition
  60. 8.7: Systems of Non-Linear Equations and Inequalities
  61. 8.E: Systems of Equations and Matrices (Exercises)
  62. 9: Sequences and the Binomial Theorem
  63. 9.1: Sequences
  64. 9.2: Summation Notation
  65. 9.3: Mathematical Induction
  66. 9.4: The Binomial Theorem
  67. 9.E: Sequences and the Binomial Theorem (Exercises)
  68. 10: Foundations of Trigonometry
  69. 10.1: The Unit Circle- Cosine and Sine
  70. 10.2: Angles and their Measure
  71. 10.3: The Six Circular Functions and Fundamental Identities
  72. 10.4: Trigonometric Identities
  73. 10.5: Graphs of the Trigonometric Functions
  74. 10.6: The Inverse Trigonometric Functions
  75. 10.7: Trigonometric Equations and Inequalities
  76. 10.E: Foundations of Trigonometry (Exercises)
  77. 11: Applications of Trigonometry
  78. 11.1: Applications of Sinusoids
  79. 11.2: The Law of Sines
  80. 11.3: The Law of Cosines
  81. 11.4: Polar Coordinates
  82. 11.5: Graphs of Polar Equations
  83. 11.6: Hooked on Conics Again
  84. 11.7: Polar Form of Complex Numbers
  85. 11.8: Vectors
  86. 11.9: The Dot Product and Projection
  87. 11.E: Applications of Trigonometry (Exercises)
  88. 11.10: Parametric Equations
  89. Back Matter
  90. Index
  91. Glossary
  92. Detailed Licensing