College Algebra

by Jay Abramson

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College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebraoffers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

Description from LibreTexts.

Publisher
Arizona State University
Subjects
Mathematics, Algebra
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: Prerequisites
  7. 1.1: Prelude to Prerequisites
  8. 1.2: Real Numbers - Algebra Essentials
  9. 1.3: Exponents and Scientific Notation
  10. 1.4: Radicals and Rational Expressions
  11. 1.5: Polynomials
  12. 1.6: Factoring Polynomials
  13. 1.7: Rational Expressions
  14. 2: Equations and Inequalities
  15. 2.1: Prelude to Equations and Inequalities
  16. 2.2: The Rectangular Coordinate Systems and Graphs
  17. 2.3: Linear Equations in One Variable
  18. 2.4: Models and Applications
  19. 2.5: Complex Numbers
  20. 2.6: Quadratic Equations
  21. 2.7: Other Types of Equations
  22. 2.8: Linear Inequalities and Absolute Value Inequalities
  23. 3: Functions
  24. 3.1: Prelude to Functions
  25. 3.2: Functions and Function Notation
  26. 3.3: Domain and Range
  27. 3.4: Rates of Change and Behavior of Graphs
  28. 3.5: Composition of Functions
  29. 3.6: Transformation of Functions
  30. 3.7: Absolute Value Functions
  31. 3.8: Inverse Functions
  32. 4: Linear Functions
  33. 4.1: Introduction to Linear Functions
  34. 4.2: Linear Functions
  35. 4.3: Modeling with Linear Functions
  36. 4.4: Fitting Linear Models to Data
  37. 5: Polynomial and Rational Functions
  38. 5.1: Prelude to Polynomial and Rational Functions
  39. 5.2: Quadratic Functions
  40. 5.3: Power Functions and Polynomial Functions
  41. 5.4: Graphs of Polynomial Functions
  42. 5.5: Dividing Polynomials
  43. 5.6: Zeros of Polynomial Functions
  44. 5.7: Rational Functions
  45. 5.8: Inverses and Radical Functions
  46. 5.9: Modeling Using Variation
  47. 6: Exponential and Logarithmic Functions
  48. 6.1: Prelude to Exponential and Logarithmic Functions
  49. 6.2: Exponential Functions
  50. 6.3: Graphs of Exponential Functions
  51. 6.4: Logarithmic Functions
  52. 6.5: Graphs of Logarithmic Functions
  53. 6.6: Logarithmic Properties
  54. 6.7: Exponential and Logarithmic Equations
  55. 6.8: Exponential and Logarithmic Models
  56. 6.9: Fitting Exponential Models to Data
  57. 7: Systems of Equations and Inequalities
  58. Front Matter
  59. TitlePage
  60. InfoPage
  61. 7.1: Prelude to Systems of Equations and Inequalities
  62. 7.2: Systems of Linear Equations - Two Variables
  63. 7.3: Systems of Linear Equations with Three Variables
  64. 7.4: Systems of Nonlinear Equations and Inequalities - Two Variables
  65. 7.5: Partial Fractions
  66. 7.6: Matrices and Matrix Operations
  67. 7.7: Solving Systems with Gaussian Elimination
  68. 7.8: Solving Systems with Inverses
  69. 7.9: Solving Systems with Cramer's Rule
  70. Back Matter
  71. Index
  72. 8: Analytic Geometry
  73. 8.1: Prelude to Analytic Geometry
  74. 8.2: The Ellipse
  75. 8.3: The Hyperbola
  76. 8.4: The Parabola
  77. 8.5: Rotation of Axes
  78. 8.6: Conic Sections in Polar Coordinates
  79. 9: Sequences, Probability, and Counting Theory
  80. 9.1: Prelude to Sequences, Probability and Counting Theory
  81. 9.2: Sequences and Their Notations
  82. 9.3: Arithmetic Sequences
  83. 9.4: Geometric Sequences
  84. 9.5: Series and Their Notations
  85. 9.6: Counting Principles
  86. 9.7: Binomial Theorem
  87. 9.8: Probability
  88. Back Matter
  89. Index
  90. Glossary
  91. Detailed Licensing