Math C097: Support for Precalculus Corequisite: MATH C170

by Chau D. Tran

Read here Read at LibreTextsPDF

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
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. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. 1.1: Academic Success Skills
  7. 1.1.1: The Power to Learn
  8. 1.1.2: It's All in the Mindset
  9. 1.1.3: Failure Is Not an Option
  10. 1.1.4: Active Learning from Lectures
  11. 1.1.5: Active Learning from Reading
  12. 1.1.6: Taking Notes
  13. 1.1.7: How to Manage Time
  14. 1.1.8: Enhanced Strategies for Time and Task Management
  15. 1.1.9: Goal Setting and Motivation
  16. 1.1.10: Test Taking and Preparation
  17. 1.1.11: Pre- Mid- and Post-Test-Taking Strategies
  18. 1.1.12: Test-Taking Strategy Specifics
  19. 1.2: Algebra Support
  20. 1.2.1: Real Numbers, Linear Inequalities, and Interval Notation
  21. 1.2.2: Basics of the Graphing Calculator
  22. 1.2.3: Polynomial Expressions
  23. 1.2.4: Adding and Subtracting Polynomial Expressions
  24. 1.2.5: Properties of Exponents
  25. 1.2.6: Multiplying Polynomial Expressions
  26. 1.2.7: The Greatest Common Factor and Factor by Grouping
  27. 1.2.8: Solving Polynomial Equations
  28. 1.2.9: Factoring ax² + bx + c when a =1
  29. 1.2.10: Factoring ax² + bx + c when a≠1
  30. 1.2.11: Factoring Special Products
  31. 1.2.12: General Strategy for Factoring Polynomials
  32. 1.2.13: Simplifying, Multiplying, and Dividing Rational Expressions
  33. 1.2.14: Adding and Subtracting Rational Expressions
  34. 1.2.15: Simplifying Complex Rational Expressions
  35. 1.2.16: Solving Rational Equations
  36. 1.2.17: Simplifying Expressions with Roots
  37. 1.2.18: Simplifying Radical Expressions
  38. 1.2.19: Simplifying Rational Exponents
  39. 1.2.20: Adding, Subtracting, and Multiplying Radical Expressions
  40. 1.2.21: Dividing Radical Expressions
  41. 1.2.22: Solving Radical Equations
  42. 1.2.23: Complex Numbers
  43. 1.2.24: Solving Quadratic Equations Using the Square Root Property
  44. 1.2.25: Solving Quadratic Equations by Completing the Square
  45. 1.2.26: Solving Quadratic Equations Using the Quadratic Formula
  46. 1.2.27: Solving Equations in Quadratic Form
  47. 1.2.EA: Exercises for Polynomials Expressions
  48. 1.2.EB: Exercises for Factoring Polynomial Expressions and Solving Polynomial Equations
  49. 1.2.EC: Exercises for Rational Expressions and Equations
  50. 1.2.ED: Exercises for Radical Expressions and Equations
  51. 1.2.EE: Exercises for Quadratic Equations
  52. 1.3: Inequalities and Functions
  53. 1.3.1: Prelude to Inequalities and Functions
  54. 1.3.2: Solving Nonlinear Inequalities
  55. 1.3.3: Functions and Function Notation
  56. 1.3.4: Graphing Functions and Common Function Behavior
  57. 1.3.5: Finding Information About Functions From Graphs
  58. 1.3.6: Average Rate of Change
  59. 1.3.7: Transformations of Functions
  60. 1.3.8: Algebra and Composition of Functions
  61. 1.3.9: Inverse Functions
  62. 1.3.E: Functions (Exercises)
  63. 1.3.R: Functions (Review)
  64. 1.4: Polynomial and Rational Functions
  65. 1.4.1: Prelude to Polynomial and Rational Functions
  66. 1.4.2: Quadratic Functions
  67. 1.4.3: Graphs of Polynomial Functions
  68. 1.4.4: Polynomial Division
  69. 1.4.5: Zeros of Polynomials
  70. 1.4.6: Introduction to Rational Functions
  71. 1.4.7: Graphing Rational Functions
  72. 1.4.E: Polynomial and Rational Functions (Exercises)
  73. 1.4.R: Polynomial and Rational Functions(Review)
  74. 1.5: Exponential and Logarithmic Functions
  75. 1.5.1: Prelude to Exponential and Logarithmic Functions
  76. 1.5.2: Exponential Functions
  77. 1.5.3: Graphing Exponential Functions
  78. 1.5.4: Logarithmic Functions
  79. 1.5.5: Graphing Logarithmic Functions
  80. 1.5.6: Laws of Logarithms
  81. 1.5.7: Exponential and Logarithmic Equations
  82. 1.5.8: Applications of Exponential and Logarithmic Functions
  83. 1.5.9: Trigonometry Preview - Circles
  84. 1.5.E: Exponential and Logarithmic Functions (Exercises)
  85. 1.5.R: Exponential and Logarithmic Functions (Review)
  86. Back Matter
  87. Index
  88. Glossary
  89. Detailed Licensing
  90. Detailed Licensing