Corequisite Precalculus

by Katherine Skelton

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This course includes, but not limited to piece-wise, composite, inverse, polynomial, rational, exponential, and logarithmic functions. Also discussed are properties of functions, their relationship to equations and inequalities, as well as applications, and circles.

Description from LibreTexts.

Publisher
Highline 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. TitlePage
  3. InfoPage
  4. Acknowledgements
  5. Course Audience and Printing Information
  6. Table of Contents
  7. Licensing
  8. 1: Academic Success Skills
  9. 1.1: The Power to Learn
  10. 1.2: It's All in the Mindset
  11. 1.3: Failure Is Not an Option
  12. 1.4: Active Learning from Lectures
  13. 1.5: Active Learning from Reading
  14. 1.6: Taking Notes
  15. 1.7: How to Manage Time
  16. 1.8: Enhanced Strategies for Time and Task Management
  17. 1.9: Goal Setting and Motivation
  18. 1.10: Test Taking and Preparation
  19. 1.11: Pre- Mid- and Post-Test-Taking Strategies
  20. 1.12: Test-Taking Strategy Specifics
  21. 2: Algebra Support
  22. 2.1: Real Numbers, Linear Inequalities, and Interval Notation
  23. 2.2: Basics of the Graphing Calculator
  24. 2.3: Polynomial Expressions
  25. 2.4: Adding and Subtracting Polynomial Expressions
  26. 2.5: Properties of Exponents
  27. 2.6: Multiplying Polynomial Expressions
  28. 2.7: The Greatest Common Factor and Factor by Grouping
  29. 2.8: Solving Polynomial Equations
  30. 2.9: Factoring ax² + bx + c when a =1
  31. 2.10: Factoring ax² + bx + c when a≠1
  32. 2.11: Factoring Special Products
  33. 2.12: General Strategy for Factoring Polynomials
  34. 2.13: Simplifying, Multiplying, and Dividing Rational Expressions
  35. 2.14: Adding and Subtracting Rational Expressions
  36. 2.15: Simplifying Complex Rational Expressions
  37. 2.16: Solving Rational Equations
  38. 2.17: Simplifying Expressions with Roots
  39. 2.18: Simplifying Radical Expressions
  40. 2.19: Simplifying Rational Exponents
  41. 2.20: Adding, Subtracting, and Multiplying Radical Expressions
  42. 2.21: Dividing Radical Expressions
  43. 2.22: Solving Radical Equations
  44. 2.23: Complex Numbers
  45. 2.24: Solving Quadratic Equations Using the Square Root Property
  46. 2.25: Solving Quadratic Equations by Completing the Square
  47. 2.26: Solving Quadratic Equations Using the Quadratic Formula
  48. 2.27: Solving Equations in Quadratic Form
  49. 2.EA: Exercises for Polynomials Expressions
  50. 2.EB: Exercises for Factoring Polynomial Expressions and Solving Polynomial Equations
  51. 2.EC: Exercises for Rational Expressions and Equations
  52. 2.ED: Exercises for Radical Expressions and Equations
  53. 2.EE: Exercises for Quadratic Equations
  54. 3: Inequalities and Functions
  55. 3.1: Prelude to Inequalities and Functions
  56. 3.2: Solving Nonlinear Inequalities
  57. 3.3: Functions and Function Notation
  58. 3.4: Graphing Functions and Common Function Behavior
  59. 3.5: Finding Information About Functions From Graphs
  60. 3.6: Average Rate of Change
  61. 3.7: Transformations of Functions
  62. 3.8: Algebra and Composition of Functions
  63. 3.9: Inverse Functions
  64. 3.E: Functions (Exercises)
  65. 3.R: Functions (Review)
  66. 4: Polynomial and Rational Functions
  67. 4.1: Prelude to Polynomial and Rational Functions
  68. 4.2: Quadratic Functions
  69. 4.3: Graphs of Polynomial Functions
  70. 4.4: Polynomial Division
  71. 4.5: Zeros of Polynomials
  72. 4.6: Introduction to Rational Functions
  73. 4.7: Graphing Rational Functions
  74. 4.E: Polynomial and Rational Functions (Exercises)
  75. 4.R: Polynomial and Rational Functions(Review)
  76. 5: Exponential and Logarithmic Functions
  77. 5.1: Prelude to Exponential and Logarithmic Functions
  78. 5.2: Exponential Functions
  79. 5.3: Graphing Exponential Functions
  80. 5.4: Logarithmic Functions
  81. 5.5: Graphing Logarithmic Functions
  82. 5.6: Laws of Logarithms
  83. 5.7: Exponential and Logarithmic Equations
  84. 5.8: Applications of Exponential and Logarithmic Functions
  85. 5.9: Trigonometry Preview - Circles
  86. 5.E: Exponential and Logarithmic Functions (Exercises)
  87. 5.R: Exponential and Logarithmic Functions (Review)
  88. Back Matter
  89. Index
  90. Glossary
  91. Detailed Licensing