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Intermediate Algebra and Precalculus

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Intermediate Algebra and Precalculus

This course integrates Intermediate Algebra and Trigonometry with Precalculus. Topics include properties of real numbers, polynomials and factoring, equations and inequalities in one and two variables, systems of linear equations, rational expressions and functions, rational exponents and roots, quadratic functions, exponential and logarithmic functions, and trigonometric functions.

Mathematics
Author
Margaret H. Dean
Publisher
Borough of Manhattan Community College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 151 sections
  1. 01: Foundations
  2. 1.00: Prelude to the Foundations of Algebra
  3. 1.02: Use the Language of Algebra
  4. 1.2.0E: Section 1.2E: Exercises
  5. 1.04: Graphs of Equations with Two Variables
  6. 1.05: Chapter 1 Review Exercises
  7. 1.07: Properties of Exponents and Scientific Notation
  8. 1.7.0E: Section 1.7E: Exercises
  9. 02: Solving Linear Equations
  10. 2.01: Prelude to Solving Linear Equations
  11. 2.02: Use a General Strategy to Solve Linear Equations
  12. 2.2.0E: Section 2.2E: Use a General Strategy to Solve Linear Equations (Exercises)
  13. 2.03: Use a Problem Solving Strategy
  14. 2.3.0E: Section 2.3E: Exercises
  15. 2.04: Solve a Formula for a Specific Variable
  16. 2.4.0E: Section 2.4E: Exercises
  17. 2.05: Solve Mixture and Uniform Motion Applications
  18. 2.5.0E: Section 2.5E: Exercises
  19. 2.06: Solve Linear Inequalities
  20. 2.6.0E: Section 2.6E: Exercises
  21. 2.07: Solve Compound Inequalities
  22. 2.7.0E: Section 2.7E: Exercises
  23. 2.08: Solve Absolute Value Inequalities
  24. 2.8.0E: Section 2.8E: Exercises
  25. 2.09: Chapter 2 Review Exercises
  26. 03: Functions
  27. 3.00: Prelude to Functions
  28. 3.02: Functions and Function Notation
  29. 3.2.0E: Section 3.2E: Exercises
  30. 3.03: Domain and Range
  31. 3.3.0E: Section 3.3E: Exercises
  32. 3.04: Rates of Change and Behavior of Graphs
  33. 3.4.0E: Section 3.4E: Exercises
  34. 3.05: Composition of Functions
  35. 3.5.0E: Section 3.5E: Exercises
  36. 3.06: Transformation of Functions
  37. 3.6.0E: Section 3.6E: Exercises
  38. 3.07: Absolute Value Functions
  39. 3.7.0E: Section 3.7E: Exercises
  40. 3.08: Inverse Functions
  41. 3.8.0E: Section 3.8E: Exercises
  42. 04: Polynomial and Rational Functions
  43. 4.01: Prelude to Polynomial and Rational Functions
  44. 4.02: Complex Numbers
  45. 4.2.0E: Section 4.2E: Exercises
  46. 4.03: Quadratic Functions
  47. 4.3.0E: 4.3E: Exercises
  48. 4.04: Power Functions and Polynomial Functions
  49. 4.4.0E: Section 4.4E: Exercises
  50. 4.05: Graphs of Polynomial Functions
  51. 4.5.0E: Section 4.8E: Exercises
  52. 4.06: Dividing Polynomials
  53. 4.07: Zeros of Polynomial Functions
  54. 4.07E: 4.07E: Exercises
  55. 4.08: Rational Functions
  56. 4.8.0E: Exercises
  57. 4.09: Inverses and Radical Functions
  58. 05: Exponential and Logarithmic Functions
  59. 5.01: Prelude to Exponential and Logarithmic Functions
  60. 5.02: Exponential Functions
  61. 5.2E: Exercises
  62. 5.03: Graphs of Exponential Functions
  63. 5.3E: Exercises
  64. 5.04: Logarithmic Functions
  65. 5.4E: Exercises
  66. 5.8.00: Exercises
  67. 5.05: Graphs of Logarithmic Functions
  68. 5.5E: Exercises
  69. 5.06: Logarithmic Properties
  70. 5.6E: Exercises
  71. 5.07: Exponential and Logarithmic Equations
  72. 5.7E: Exercises
  73. 06: Trigonometric Functions
  74. 6.00: Prelude to Trigonometric Functions
  75. 6.02: Angles
  76. 6.02E: Exercises
  77. 6.03: Unit Circle - Sine and Cosine Functions
  78. 6.3E: Exercises
  79. 6.04: The Other Trigonometric Functions
  80. 6.4E: Exercises
  81. 6.05: Right Triangle Trigonometry
  82. Section 6.5E: Exercises
  83. 07: Periodic Functions
  84. 7.00: Prelude to Periodic Functions
  85. 7.02: Graphs of the Sine and Cosine Functions
  86. 7.02E: Exercises
  87. 7.03: Graphs of the Other Trigonometric Functions
  88. 7.3E: Exercises
  89. 7.04: Inverse Trigonometric Functions
  90. 7.4E: Exercises
  91. 08: Trigonometric Identities and Equations
  92. 8.00: Prelude to Trigonometric Identities and Equations
  93. 8.02: Simplifying Trigonometric Expressions with Identities
  94. 8.2E: Exercises
  95. 8.03: Sum and Difference Identities
  96. 8.03E: Exercises
  97. 8.04: Double-Angle Half-Angle and Reduction Formulas
  98. 8.05: Solving Trigonometric Equations
  99. 8.08: Exercises
  100. 8.10: Exercises
  101. 09: Systems of Equations and Inequalities
  102. 9.00: Partial Fractions
  103. Chapter 0: Introduction
  104. 0.1: What is this Course All About
  105. 0.2: Sets of Numbers
  106. 0.3: A Function Fable
  107. Chapter 3A: Algebra Topics
  108. 3A.01: Linear Functions
  109. 3A.02: Graphs of Linear Functions
  110. 3A.03: Modeling with Linear Functions
  111. 3A.04: Solve Systems of Linear Equations with Two Variables
  112. 3.3.2.2.0E: Section 3.3.2.2E: Exercises
  113. 3A.05: Solve Applications with Systems of Equations
  114. 3.3.2.3.0E: Section 3.3.2.3E: Exercises
  115. 3A.06: Add and Subtract Polynomials
  116. 3A.06E: Section 3.5.1E: Exercises
  117. 3A.07: Multiply Polynomials
  118. 3A.07E: Exercises
  119. 3A.08: Simplify Expressions with Roots
  120. 3A.08E: Exercises
  121. 3A.09: Simplify Radical Expressions
  122. 3A.09E: Exercises
  123. 3A.10: Rational Exponents
  124. 3A.10E: Exercises
  125. 3A.11: Solve Radical Equations
  126. 3A.11E: Exercises
  127. Chapter 4A: Algebra Topics
  128. 4A.01: Greatest Common Factor and Factor by Grouping
  129. 4A.01.E: Exercises
  130. 4A.02: Factor Trinomials
  131. 4A.02E: Exercises
  132. 4A.03: Factor Special Products
  133. 4A.03E Exercises
  134. 4A.04: General Strategy for Factoring Polynomials
  135. 4A.04E: Section 4.1.1.5E: Exercises
  136. 4A.05: Factoring Review Exercises
  137. 4A.06: Multiply and Divide Rational Expressions
  138. 4.06E: 4.06E: Exercises
  139. 4A.07: Add and Subtract Rational Expressions
  140. 4A.07E: 4A.7E: Exercises
  141. 4A.08: Simplify Complex Rational Expressions
  142. 4A.08E: 4.8E: Exercises
  143. 4A.09: Solve Rational Equations
  144. 4.9E: 4.14.1.5E: Exercises
  145. 4A.10: Solve Rational Inequalities
  146. 4.10E: 4.10E: Exercises
  147. 4A.11: Rational Expression Review Exercises
  148. Chapter 10: Appendix
  149. A: Operations with Integers
  150. B: Working with Fractions
  151. C: Properties of Real Numbers