College Algebra and Trigonometry

by Richard W. Beveridge

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This College Algebra text will cover a combination of classical algebra and analytic geometry, with an introduction to the transcendental exponential and logarithmic functions. If mathematics is the language of science, then algebra is the grammar of that language. Like grammar, algebra provides a structure to mathematical notation, in addition to its uses in problem solving and its ability to change the appearance of an expression without changing the value.

Description from LibreTexts.

Publisher
Clatsop Community College
Subjects
Mathematics, Algebra
Licence
CC BY-NC-SA 4.0, as LibreTexts states it. Non-commercial use only.
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: Algebra Review
  7. 1.1: Algebraic Simplification
  8. 1.2: Factoring
  9. 1.3: Quadratic Equations
  10. 1.4: Complex Numbers
  11. 1.5: Quadratic Equations with Complex Roots
  12. 1.6: Multiplying and Dividing Rational Expressions
  13. 1.7: Adding and Subtracting Rational Expressions
  14. 1.8: Complex Fractions
  15. 1.9: Rational Equations
  16. 2: Polynomial and Rational Functions
  17. 2.1: Representing Intervals
  18. 2.2: Solution by Graphing
  19. 2.3: Solution of Polynomial Inequalities by Graphing
  20. 2.4: Solution of Rational Inequalities by Graphing
  21. 2.5: Finding Factors from Roots
  22. 2.6: Polynomial Long Division
  23. 2.7: Synthetic Division
  24. 2.8: Roots and Factorization of Polynomials
  25. 3: Exponents and Logarithms
  26. 3.1: Exponential and Logistic Applications
  27. 3.2: Logarithmic Notation
  28. 3.3: Solving Exponential Equations
  29. 3.4: Solving Logarithmic Equations
  30. 3.5: Applications of the Negative Exponential Function
  31. 4: Functions
  32. 4.1: Function Notation
  33. 4.2: Domain and Range of a Function
  34. 4.3: Maximum and Minimum Values
  35. 4.4: Transformations
  36. 4.5: Toolbox Functions
  37. 4.6: Piecewise-defined Functions
  38. 4.7: Composite functions
  39. 4.8: Inverse Functions
  40. 4.9: Optimization
  41. 5: Conic Sections - Circle and Parabola
  42. 5.1: The Equation of the Circle
  43. 5.2: The Equation of the Parabola
  44. 5.3: Applications of the Parabola
  45. 6: Sequences and Series
  46. 6.1: Sequences
  47. 6.2: Arithmetic and Geometric Sequences
  48. 6.3: Series
  49. 6.4: Sum of a Series
  50. 7: Combinatorics
  51. 7.1: The Fundamental Principle of Counting
  52. 7.2: Factorial Notation and Permutations
  53. 7.3: Permutations and Combinations
  54. 7.4: General Combinatorics Problems
  55. 7.5: Distinguishable Permutations
  56. 7.6: Probability
  57. 8: Right Triangle Trigonometry
  58. 8.1: Measuring Angles
  59. 8.2: The Trigonometric Ratios
  60. 8.3: Solving Triangles
  61. 8.4: Applications
  62. 8.5: More Applications
  63. 9: Graphing the Trigonometric Functions
  64. 9.1: Trigonometric Functions of Non-Acute Angles
  65. 9.2: Graphing Trigonometric Functions
  66. 9.3: The Vertical Shift of a Trigonometric Function
  67. 9.4: Phase Shift
  68. 9.5: Combining the Transformations
  69. 10: Trigonometric Identities and Equations
  70. 10.1: Reciprocal and Pythagorean Identities
  71. 10.2: Double-Angle Identities
  72. 10.3: Trigonometric Equations
  73. 10.4: More Trigonometric Equations
  74. 11: The Law of Sines and The Law of Cosines
  75. 11.1: The Law of Sines
  76. 11.2: The Law of Sines - the Ambiguous Case
  77. 11.3: The Law of Cosines
  78. 11.4: Applications
  79. Back Matter
  80. Index
  81. Glossary
  82. Detailed Licensing