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College Algebra and Trigonometry

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College Algebra and Trigonometry

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.

AlgebraMathematics
Author
Richard W. Beveridge
Publisher
Clatsop Community College
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 73 sections
  1. 01: Algebra Review
  2. 1.01: Algebraic Simplification
  3. 1.02: Factoring
  4. 1.03: Quadratic Equations
  5. 1.04: Complex Numbers
  6. 1.05: Quadratic Equations with Complex Roots
  7. 1.06: Multiplying and Dividing Rational Expressions
  8. 1.07: Adding and Subtracting Rational Expressions
  9. 1.08: Complex Fractions
  10. 1.09: Rational Equations
  11. 02: Polynomial and Rational Functions
  12. 201: Representing Intervals
  13. 202: Solution by Graphing
  14. 203: Solution of Polynomial Inequalities by Graphing
  15. 204: Solution of Rational Inequalities by Graphing
  16. 205: Finding Factors from Roots
  17. 206: Polynomial Long Division
  18. 207: Synthetic Division
  19. 208: Roots and Factorization of Polynomials
  20. 03: Exponents and Logarithms
  21. 3.01: Exponential and Logistic Applications
  22. 3.02: Logarithmic Notation
  23. 3.03: Solving Exponential Equations
  24. 3.04: Solving Logarithmic Equations
  25. 3.05: Applications of the Negative Exponential Function
  26. 04: Functions
  27. 401: Function Notation
  28. 402: Domain and Range of a Function
  29. 403: Maximum and Minimum Values
  30. 404: Transformations
  31. 405: Toolbox Functions
  32. 406: Piecewisedefined Functions
  33. 407: Composite functions
  34. 408: Inverse Functions
  35. 409: Optimization
  36. 05: Conic Sections Circle and Parabola
  37. 5.01: The Equation of the Circle
  38. 5.02: The Equation of the Parabola
  39. 5.03: Applications of the Parabola
  40. 06: Sequences and Series
  41. 6.01: Sequences
  42. 6.02: Arithmetic and Geometric Sequences
  43. 6.03: Series
  44. 6.04: Sum of a Series
  45. 07: Combinatorics
  46. 7.01: The Fundamental Principle of Counting
  47. 7.02: Factorial Notation and Permutations
  48. 7.03: Permutations and Combinations
  49. 7.04: General Combinatorics Problems
  50. 7.05: Distinguishable Permutations
  51. 7.06: Probability
  52. 08: Right Triangle Trigonometry
  53. 8.01: Measuring Angles
  54. 8.02: The Trigonometric Ratios
  55. 8.03: Solving Triangles
  56. 8.04: Applications
  57. 8.05: More Applications
  58. 09: Graphing the Trigonometric Functions
  59. 9.01: Trigonometric Functions of Non-Acute Angles
  60. 9.02: Graphing Trigonometric Functions
  61. 9.03: The Vertical Shift of a Trigonometric Function
  62. 9.04: Phase Shift
  63. 9.05: Combining the Transformations
  64. 10: Trigonometric Identities and Equations
  65. 10.01: Reciprocal and Pythagorean Identities
  66. 10.02: Double-Angle Identities
  67. 10.03: Trigonometric Equations
  68. 10.04: More Trigonometric Equations
  69. 11: The Law of Sines and The Law of Cosines
  70. 11.01: The Law of Sines
  71. 11.02: The Law of Sines - the ambiguous case
  72. 11.03: The Law of Cosines
  73. 11.04: Applications