Math C170: Precalculus (Tran)

by Chau D. Tran

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This precalculus textmap is intended for college-level Precalculus students and is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text.

Description from LibreTexts.

Publisher
Coastline College
Subjects
Mathematics
Licence
CC BY 4.0, as LibreTexts states it
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. Licensing
  3. TitlePage
  4. InfoPage
  5. Table of Contents
  6. 1: Functions
  7. 1.1: Prelude to Functions
  8. 1.2: Functions and Function Notation
  9. 1.3: Domain and Range
  10. 1.4: Rates of Change and Behavior of Graphs
  11. 1.5: Composition of Functions
  12. 1.6: Transformation of Functions
  13. 1.7: Absolute Value Functions
  14. 1.8: Inverse Functions
  15. 1.E: Functions (Exercises)
  16. 1.R: Functions (Review)
  17. 2: Linear Functions
  18. 2.1: Prelude to Linear Functions
  19. 2.2: Linear Functions
  20. 2.3: Graphs of Linear Functions
  21. 2.4: Modeling with Linear Functions
  22. 2.5: Fitting Linear Models to Data
  23. 2.E: Linear Functions(Exercises)
  24. 2.R: Linear Functions(Review)
  25. 3: Polynomial and Rational Functions
  26. 3.1: Prelude to Polynomial and Rational Functions
  27. 3.2: Complex Numbers
  28. 3.3: Quadratic Functions
  29. 3.4: Power Functions and Polynomial Functions
  30. 3.5: Graphs of Polynomial Functions
  31. 3.6: Dividing Polynomials
  32. 3.7: Zeros of Polynomial Functions
  33. 3.8: Rational Functions
  34. 3.9: Inverses and Radical Functions
  35. 3.10: Modeling Using Variation
  36. 3.E: Polynomial and Rational Functions(Exercises)
  37. 3.R: Polynomial and Rational Functions(Review)
  38. 4: Exponential and Logarithmic Functions
  39. 4.1: Prelude to Exponential and Logarithmic Functions
  40. 4.2: Exponential Functions
  41. 4.3: Graphs of Exponential Functions
  42. 4.4: Logarithmic Functions
  43. 4.5: Graphs of Logarithmic Functions
  44. 4.6: Logarithmic Properties
  45. 4.7: Exponential and Logarithmic Equations
  46. 4.8: Exponential and Logarithmic Models
  47. 4.9: Fitting Exponential Models to Data
  48. 4.E: Exponential and Logarithmic Functions (Exercises)
  49. 5: Trigonometric Functions
  50. 5.1: Prelude to Trigonometric Functions
  51. 5.2: Angles
  52. 5.3: Unit Circle - Sine and Cosine Functions
  53. 5.4: The Other Trigonometric Functions
  54. 5.5: Right Triangle Trigonometry
  55. 5.E: Trigonometric Functions (Exercises)
  56. 5.R: Trigonometric Functions (Review)
  57. 6: Periodic Functions
  58. 6.1: Prelude to Periodic Functions
  59. 6.2: Graphs of the Sine and Cosine Functions
  60. 6.3: Graphs of the Other Trigonometric Functions
  61. 6.4: Inverse Trigonometric Functions
  62. 6.E: Periodic Functions (Exercises)
  63. 6.R: Periodic Functions (Review)
  64. 7: Trigonometric Identities and Equations
  65. 7.1: Prelude to Trigonometric Identities and Equations
  66. 7.2: Solving Trigonometric Equations with Identities
  67. 7.3: Sum and Difference Identities
  68. 7.4: Double-Angle, Half-Angle, and Reduction Formulas
  69. 7.5: Sum-to-Product and Product-to-Sum Formulas
  70. 7.6: Solving Trigonometric Equations
  71. 7.7: Modeling with Trigonometric Equations
  72. 7.E: Trigonometric Identities and Equations (Exercises)
  73. 7.R: Trigonometric Identities and Equations (Review)
  74. 8: Further Applications of Trigonometry
  75. 8.1: Prelude to Further Applications of Trigonometry
  76. 8.2: Non-right Triangles - Law of Sines
  77. 8.3: Non-right Triangles - Law of Cosines
  78. 8.4: Polar Coordinates
  79. 8.5: Polar Coordinates - Graphs
  80. 8.6: Polar Form of Complex Numbers
  81. 8.7: Parametric Equations
  82. 8.8: Parametric Equations - Graphs
  83. 8.9: Vectors
  84. 8.E: Further Applications of Trigonometry (Exercises)
  85. 8.R: Further Applications of Trigonometry (Review)
  86. 9: Systems of Equations and Inequalities
  87. 9.1: Prelude to Systems of Equations and Inequalities
  88. 9.2: Systems of Linear Equations - Two Variables
  89. 9.3: Systems of Linear Equations - Three Variables
  90. 9.4: Systems of Nonlinear Equations and Inequalities - Two Variables
  91. 9.5: Partial Fractions
  92. 9.6: Matrices and Matrix Operations
  93. 9.7: Solving Systems with Gaussian Elimination
  94. 9.8: Solving Systems with Inverses
  95. 9.9: Solving Systems with Cramer's Rule
  96. 9.E: Systems of Equations and Inequalities (Exercises)
  97. 9.R: Systems of Equations and Inequalities (Review)
  98. 10: Analytic Geometry
  99. 10.1: Prelude to Analytic Geometry
  100. 10.2: The Ellipse
  101. 10.3: The Hyperbola
  102. 10.4: The Parabola
  103. 10.5: Rotation of Axes
  104. 10.6: Conic Sections in Polar Coordinates
  105. 10.E: Analytic Geometry (Exercises)
  106. 10.R: Analytic Geometry (Review)
  107. 11: Sequences, Probability and Counting Theory
  108. 11.1: Prelude to Sequences, Probability and Counting Theory
  109. 11.2: Sequences and Their Notations
  110. 11.3: Arithmetic Sequences
  111. 11.4: Geometric Sequences
  112. 11.5: Series and Their Notations
  113. 11.6: Counting Principles
  114. 11.7: Binomial Theorem
  115. 11.8: Probability
  116. 11.E: Sequences, Probability and Counting Theory (Exercises)
  117. 11.R: Sequences, Probability and Counting Theory (Review)
  118. 12: Introduction to Calculus
  119. 12.1: Prelude to Calculus
  120. 12.2: Finding Limits - Numerical and Graphical Approaches
  121. 12.3: Finding Limits - Properties of Limits
  122. 12.4: Continuity
  123. 12.5: Derivatives
  124. 12.E: Introduction to Calculus (Exercises)
  125. 12.R: Introduction to Calculus (Review)
  126. 13: Trigonometric Functions
  127. 13.1: Prelude to Trigonometric Functions
  128. 13.2: Angles
  129. 13.3: Unit Circle - Sine and Cosine Functions
  130. 13.4: The Other Trigonometric Functions
  131. 13.5: Right Triangle Trigonometry
  132. 13.E: Trigonometric Functions (Exercises)
  133. 13.R: Trigonometric Functions (Review)
  134. 14: Appendix
  135. Back Matter
  136. Detailed Licensing
  137. Index
  138. Glossary
  139. Detailed Licensing