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Math C097: Support for Precalculus Corequisite: MATH C170

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Math C097: Support for Precalculus Corequisite: MATH C170

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.

Mathematics
Author
Chau D. Tran
Publisher
Coastline College
Source
LibreTexts
License
CC BY
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 80 sections
  1. 1.01: Academic Success Skills
  2. 1.1.01: The Power to Learn
  3. 1.1.02: It's All in the Mindset
  4. 1.1.03: Failure Is Not an Option
  5. 1.1.04: Active Learning from Lectures
  6. 1.1.05: Active Learning from Reading
  7. 1.1.06: Taking Notes
  8. 1.1.07: How to Manage Time
  9. 1.1.08: Enhanced Strategies for Time and Task Management
  10. 1.1.09: Goal Setting and Motivation
  11. 1.1.10: Test Taking and Preparation
  12. 1.1.11: Pre- Mid- and Post-Test-Taking Strategies
  13. 1.1.12: Test-Taking Strategy Specifics
  14. 1.02: Algebra Support
  15. 1.2.01: Real Numbers Linear Inequalities and Interval Notation
  16. 1.2.02: Basics of the Graphing Calculator
  17. 1.2.03: Polynomial Expressions
  18. 1.2.04: Adding and Subtracting Polynomial Expressions
  19. 1.2.05: Properties of Exponents
  20. 1.2.06: Multiplying Polynomial Expressions
  21. 1.2.07: The Greatest Common Factor and Factor by Grouping
  22. 1.2.08: Solving Polynomial Equations
  23. 1.2.09: Factoring ax bx c when a 1
  24. 1.2.10: Factoring ax bx c when a1
  25. 1.2.11: Factoring Special Products
  26. 1.2.12: General Strategy for Factoring Polynomials
  27. 1.2.13: Simplifying Multiplying and Dividing Rational Expressions
  28. 1.2.14: Adding and Subtracting Rational Expressions
  29. 1.2.15: Simplifying Complex Rational Expressions
  30. 1.2.16: Solving Rational Equations
  31. 1.2.17: Simplifying Expressions with Roots
  32. 1.2.18: Simplifying Radical Expressions
  33. 1.2.19: Simplifying Rational Exponents
  34. 1.2.20: Adding Subtracting and Multiplying Radical Expressions
  35. 1.2.21: Dividing Radical Expressions
  36. 1.2.22: Solving Radical Equations
  37. 1.2.23: Complex Numbers
  38. 1.2.24: Solving Quadratic Equations Using the Square Root Property
  39. 1.2.25: Solving Quadratic Equations by Completing the Square
  40. 1.2.26: Solving Quadratic Equations Using the Quadratic Formula
  41. 1.2.27: Solving Equations in Quadratic Form
  42. 1.2.EA: Exercises for Polynomials Expressions
  43. 1.2.EB: Exercises for Factoring Polynomial Expressions and Solving Polynomial Equations
  44. 1.2.EC: Exercises for Rational Expressions and Equations
  45. 1.2.ED: Exercises for Radical Expressions and Equations
  46. 1.2.EE: Exercises for Quadratic Equations
  47. 1.03: Inequalities and Functions
  48. 1.3.01: Prelude to Inequalities and Functions
  49. 1.3.02: Solving Nonlinear Inequalities
  50. 1.3.03: Functions and Function Notation
  51. 1.3.04: Graphing Functions and Common Function Behavior
  52. 1.3.05: Finding Information About Functions From Graphs
  53. 1.3.06: Average Rate of Change
  54. 1.3.07: Transformations of Functions
  55. 1.3.08: Algebra and Composition of Functions
  56. 1.3.09: Inverse Functions
  57. 1.3.E: Functions (Exercises)
  58. 1.3.R: Functions (Review)
  59. 1.04: Polynomial and Rational Functions
  60. 1.4.01: Prelude to Polynomial and Rational Functions
  61. 1.4.02: Quadratic Functions
  62. 1.4.03: Graphs of Polynomial Functions
  63. 1.4.04: Polynomial Division
  64. 1.4.05: Zeros of Polynomials
  65. 1.4.06: Introduction to Rational Functions
  66. 1.4.07: Graphing Rational Functions
  67. 1.4.E: Polynomial and Rational Functions (Exercises)
  68. 1.4.R: Polynomial and Rational Functions(Review)
  69. 1.05: Exponential and Logarithmic Functions
  70. 1.5.01: Prelude to Exponential and Logarithmic Functions
  71. 1.5.02: Exponential Functions
  72. 1.5.03: Graphing Exponential Functions
  73. 1.5.04: Logarithmic Functions
  74. 1.5.05: Graphing Logarithmic Functions
  75. 1.5.06: Laws of Logarithms
  76. 1.5.07: Exponential and Logarithmic Equations
  77. 1.5.08: Applications of Exponential and Logarithmic Functions
  78. 1.5.09: Trigonometry Preview - Circles
  79. 1.5.E: Exponential and Logarithmic Functions (Exercises)
  80. 1.5.R: Exponential and Logarithmic Functions (Review)