Math 001: College Algebra

by Zoya Kravets

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Publisher
Mission College
Subjects
Mathematics
Licence
CC BY, as LibreTexts states it
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: Prerequisites
  7. 1.0: Prelude to Prerequisites
  8. 1.1: Real Numbers - Algebra Essentials
  9. 1.2: Exponents and Scientific Notation
  10. 1.3: Radicals and Rational Expressions
  11. 1.4: Polynomials
  12. 1.5: Factoring Polynomials
  13. 1.6: Rational Expressions
  14. 2: Equations and Inequalities
  15. 2.0: Prelude to Equations and Inequalities
  16. 2.1: The Rectangular Coordinate Systems and Graphs
  17. 2.2: Linear Equations in One Variable
  18. 2.3: Models and Applications
  19. 2.4: Complex Numbers
  20. 2.5: Quadratic Equations
  21. 2.6: Other Types of Equations
  22. 2.7: Linear Inequalities and Absolute Value Inequalities
  23. 3: Functions
  24. 3.0: Introduction to Functions
  25. 3.1: Functions and Function Notation
  26. 3.2: Domain and Range
  27. 3.3: Rates of Change and Behavior of Graphs
  28. 3.4: Composition of Functions
  29. 3.5: Transformation of Functions
  30. 3.6: Absolute Value Functions
  31. 3.7: Inverse Functions
  32. 3.8: Chapter Review
  33. 3.8.0: Key Terms
  34. 3.8.1: Key Equations
  35. 3.8.2: Key Concepts
  36. 3.9: Exercises
  37. 3.9.0: Review Exercises
  38. 3.9.1: Practice Test
  39. 4: Linear Functions
  40. 4.0: Introduction to Linear Functions
  41. 4.1: Linear Functions
  42. 4.1.0: Graphs of Linear Functions
  43. 4.2: Modeling with Linear Functions
  44. 4.3: Chapter Review
  45. 4.3.0: Key Terms
  46. 4.3.1: Key Equations
  47. 4.3.2: Key Concepts
  48. 4.4: Exercises
  49. 4.4.0: Review Exercises
  50. 4.4.1: Practice Test
  51. 5: Polynomial and Rational Functions
  52. 5.0: Introduction to Polynomial and Rational Functions
  53. 5.1: Quadratic Functions
  54. 5.2: Power Functions and Polynomial Functions
  55. 5.3: Graphs of Polynomial Functions
  56. 5.4: Dividing Polynomials
  57. 5.5: Zeros of Polynomial Functions
  58. 5.6: Rational Functions
  59. 5.7: Inverses and Radical Functions
  60. 5.8: Solving Polynomial and Rational Inequalities
  61. 5.9: Chapter Review
  62. 5.9.0: Key Terms
  63. 5.9.1: Key Equations
  64. 5.9.2: Key Concepts
  65. 5.10: Exercises
  66. 5.10.0: Review Exercises
  67. 5.10.1: Practice Test
  68. 6: Exponential and Logarithmic Functions
  69. 6.0: Introduction to Exponential and Logarithmic Functions
  70. 6.1: Exponential Functions
  71. 6.2: Graphs of Exponential Functions
  72. 6.3: Logarithmic Functions
  73. 6.4: Graphs of Logarithmic Functions
  74. 6.5: Logarithmic Properties
  75. 6.6: Exponential and Logarithmic Equations
  76. 6.7: Exponential and Logarithmic Models
  77. 6.8: Fitting Exponential Models to Data
  78. 6.9: Chapter Review
  79. 6.9.0: Key Terms
  80. 6.9.1: Key Equations
  81. 6.9.2: Key Concepts
  82. 6.10: Exercises
  83. 6.10.0: Review Exercises
  84. 6.10.1: Practice Test
  85. 7: Systems of Equations and Inequalities
  86. 7.0: Introduction to Systems of Equations and Inequalities
  87. 7.1: Systems of Linear Equations - Two Variables
  88. 7.2: Systems of Linear Equations - Three Variables
  89. 7.3: Systems of Nonlinear Equations and Inequalities - Two Variables
  90. 7.4: Partial Fractions
  91. 7.5: Matrices and Matrix Operations
  92. 7.6: Solving Systems with Gaussian Elimination
  93. 7.7: Solving Systems with Inverses
  94. 7.8: Solving Systems with Cramer's Rule
  95. 7.9: Chapter Review
  96. 7.9.0: Key Terms
  97. 7.9.1: Key Equations
  98. 7.9.2: Key Concepts
  99. 7.10: Exercises
  100. 7.10.0: Review Exercises
  101. 7.10.1: Practice Test
  102. 8: Analytic Geometry
  103. 8.0: Prelude to Analytic Geometry
  104. 8.1: Distance and Midpoint Formulas and Circles
  105. 8.1E: Exercises
  106. 8.2: The Ellipse
  107. 8.3: The Hyperbola
  108. 8.4: The Parabola
  109. 9: Sequences and Series
  110. 9.0: Prelude to Sequences, Probability and Counting Theory
  111. 9.1: Sequences and Their Notations
  112. 9.2: Arithmetic Sequences
  113. 9.3: Geometric Sequences
  114. 9.4: Series and Their Notations
  115. Back Matter
  116. Index
  117. Glossary
  118. Detailed Licensing
  119. Detailed Licensing