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MTH 165 & 175 College Algebra & Precalculus

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MTH 165 & 175 College Algebra & Precalculus

This course fulfills the Course Objectives for MTH 165 (College Algebra) and MTH 175 (Precalculus) at Monroe Community College, Rochester NY

Mathematics
Publisher
Monroe Community College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 99 sections
  1. 01: Equations and Inequalities
  2. 1.01: Solve Polynomial Equations by Factoring
  3. 1.1e: Exercises - Solve by Factoring
  4. 1.02: Square Root Property Complete the Square and The Quadratic Formula
  5. 1.2e: Exercises - SqRP CTS QF
  6. 1.03: Rational Equations
  7. 1.3e: Exercises - Rational Equations
  8. 1.04: Radical Equations
  9. 1.4e: Exercises - Radical Equations
  10. 1.05: Equations with Rational Exponents
  11. 1.5e: Exercises - Solve Equations with Rational Exponents
  12. 1.06: Equations Quadratic in Form
  13. 1.6e: Exercises - Quadratic in Form
  14. 1.07: Absolute Value Equations and Inequalities
  15. 1.7e: Exercises - Absolute Value
  16. 1.08: Variation - Constructing and Solving Equations
  17. 1.8e: Exercises - Variation
  18. 02: Functions and Their Graphs
  19. 2.01: Functions and Function Notation
  20. 2.1e: Exercises - Functions and Function Notation
  21. 2.02: Attributes of Functions
  22. 2.2e: Exercises - Attributes of Functions
  23. 2.03: Transformations of Functions
  24. 2.3e: Exercises - Transformations
  25. 2.04: Function Compilations - Piecewise Algebraic Combinations and Composition
  26. 2.4e: Exercises - Piecewise Functions Combinations Composition
  27. 2.05: One-to-One and Inverse Functions
  28. 2.5e: Exercises Inverse Functions
  29. 03: Polynomial and Rational Functions
  30. 3.01: Graphs of Quadratic Functions
  31. 3.1e: Exercises - Quadratic Functions
  32. 3.02: Circles
  33. 3.2e: Circle Exercises.
  34. 3.03: Power Functions and Polynomial Functions
  35. 3.3e: Exercises - Polynomial End Behaviour
  36. 3.04: Graphs of Polynomial Functions
  37. 3.4e: Exercises - Polynomial Graphs
  38. 3.05: Dividing Polynomials
  39. 3.5e: Exercises - Division of Polynomials
  40. 3.06: Zeros of Polynomial Functions
  41. 3.6e: Exercises - Zeroes of Polynomial Functions
  42. 3.07: The Reciprocal Function
  43. 3.7e: Exercises for the reciprocal function
  44. 3.08: Polynomial and Rational Inequalities
  45. 3.08e: Exercises - Polynomial and Rational Inequalities
  46. 3.9: Rational Functions
  47. 3.9e: Exercises - Rational Functions
  48. 04: Exponential and Logarithmic Functions
  49. 4.01: Exponential Functions
  50. 4.1e: Exercises - Exponential Functions
  51. 4.02: Graphs of Exponential Functions
  52. 4.2e: Exercises - Graphs of Exponential Functions
  53. 4.03: Logarithmic Functions
  54. 4.3e: Exercises - Logarithm Functions
  55. 4.04: Graphs of Logarithmic Functions
  56. 4.4e: Exercises - Graphs of Logarithmic Functions
  57. 4.05: Logarithmic Properties
  58. 4.5e: Exercises - Properties of Logarithms
  59. 4.06: Exponential and Logarithmic Equations
  60. 4.6e: Exercises - Exponential and Logarithmic Equations
  61. 4.07: Exponential and Logarithmic Models
  62. 4.7e: Exercises - Exponential Applications
  63. 05: Trigonometric Functions and Graphs
  64. 5.01: Angles
  65. 5.1e: Exercises - Angles
  66. 5.02: Right Triangle Trigonometry
  67. 5.2e: Exercises - Right Angle Trigonometry
  68. 5.03: Sine and Cosine Functions
  69. 5.3e: Exercises - Sine and Cosine Functions
  70. 5.04: The Other Trigonometric Functions
  71. 5.4e: Exercises - Other Trigonometric Functions
  72. 5.5: Graphs of the Sine and Cosine Functions
  73. 5.5e: Exercises - Graphs of Sine and Cosine Functions
  74. 5.6: Graphs of the Other Trigonometric Functions
  75. 5.6e: Exercises - Graphs of Other Trigonometric Functions
  76. 06: Analytic Trigonometry
  77. 6.01: Inverse Trigonometric Functions
  78. 6.1e: Exercises - Inverse Trigonometric Functions
  79. 6.02: Trigonometric Equations
  80. 6.2e: Exercises - Trig Equations
  81. 6.03: Verifying Trigonometric Identities
  82. 6.3e: Verifying Trigonometric Identities
  83. 6.04: Sum and Difference Identities
  84. 6.4e: Exercises - Sum and Difference Identities
  85. 6.05: Double-Angle Half-Angle and Reduction Formulas
  86. 6.5e: Exercises: Double Angle Half Angle and Reductions Formulas
  87. 07: Further Applications of Trigonometry
  88. 7.01: Non-right Triangles - Law of Sines
  89. 7.1e: Exercises - Law of Sines
  90. 7.02: Non-right Triangles - Law of Cosines
  91. 7.2e: Exercises - Law of Cosines
  92. 7.03: Vectors in 2D
  93. 7.03e: Exercises - Vectors in 2D
  94. 7.04: Vectors in Three Dimensions
  95. 7.04e: Vectors in 3D
  96. 7.05: The Dot Product
  97. 7.05e: The Dot Product
  98. 7.06: The Cross Product
  99. 7.6e: Exercises - Cross Product