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MAT 1350: Precalculus Part I

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MAT 1350: Precalculus Part I

Algebra is the study of mathematical symbols and the rules for manipulating these symbols. It is a unifying thread of almost all of mathematics. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values.

Mathematics
Tác giả
Jay Abramson
Nhà xuất bản
Prince George's Community College
Nguồn
LibreTexts
Giấy phép
CC BY
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Đọc trực tuyến Tải PDF (nguồn mở)
Mục lục· 113 mục
  1. 01: Prerequisites
  2. 1.00: Prelude to Prerequisites
  3. 1.01: Real Numbers - Algebra Essentials
  4. 1.02: Exponents and Scientific Notation
  5. 1.03: Radicals and Rational Expressions
  6. 1.04: Polynomials
  7. 1.05: Factoring Polynomials
  8. 1.06: Rational Expressions
  9. 02: Equations and Inequalities
  10. 2.00: Prelude to Equations and Inequalities
  11. 2.01: The Rectangular Coordinate Systems and Graphs
  12. 2.02: Linear Equations in One Variable
  13. 2.03: Models and Applications
  14. 2.04: Complex Numbers
  15. 2.05: Quadratic Equations
  16. 2.06: Other Types of Equations
  17. 2.07: Linear Inequalities and Absolute Value Inequalities
  18. 2.08: Circles
  19. 03: Functions
  20. 3.00: Prelude to Functions
  21. 3.01: Functions and Function Notation
  22. 3.02: Domain and Range
  23. 3.03: Rates of Change and Behavior of Graphs
  24. 3.04: Composition of Functions
  25. 3.05: Transformation of Functions
  26. 3.06: Absolute Value Functions
  27. 3.07: Inverse Functions
  28. 3.08: Linear Functions
  29. 3.8.00: Introduction to Linear Functions
  30. 3.8.01: Linear Functions
  31. 3.8.02: Modeling with Linear Functions
  32. 3.8.03: Fitting Linear Models to Data
  33. 04: Linear Functions
  34. 4.00: Introduction to Linear Functions
  35. 4.01: Linear Functions
  36. 4.02: Modeling with Linear Functions
  37. 4.03: Fitting Linear Models to Data
  38. 05: Polynomial and Rational Functions
  39. 5.00: Prelude to Polynomial and Rational Functions
  40. 5.01: Quadratic Functions
  41. 5.02: Power Functions and Polynomial Functions
  42. 5.03: Graphs of Polynomial Functions
  43. 5.04: Dividing Polynomials
  44. 5.05: Zeros of Polynomial Functions
  45. 5.06: Rational Functions
  46. 5.07: Inverses and Radical Functions
  47. 5.08: Modeling Using Variation
  48. 5.09: Solving Quadratic Inequalities
  49. 5.10: Solving Polynomial and Rational Inequalities
  50. 06: Exponential and Logarithmic Functions
  51. 6.00: Prelude to Exponential and Logarithmic Functions
  52. 6.01: Exponential Functions
  53. 6.02: Graphs of Exponential Functions
  54. 6.03: Logarithmic Functions
  55. 6.04: Graphs of Logarithmic Functions
  56. 6.05: Logarithmic Properties
  57. 6.06: Exponential and Logarithmic Equations
  58. 6.07: Exponential and Logarithmic Models
  59. 6.08: Fitting Exponential Models to Data
  60. 07: The Unit Circle - Sine and Cosine Functions
  61. 7.00: Introduction to The Unit Circle- Sine and Cosine Functions
  62. 7.01: Angles
  63. 7.02: Right Triangle Trigonometry
  64. 7.03: Unit Circle
  65. 7.04: The Other Trigonometric Functions
  66. 08: Periodic Functions
  67. 8.00: 8.1 Introduction to Periodic Functions
  68. 8.01: Graphs of the Sine and Cosine Functions
  69. 8.02: Graphs of the Other Trigonometric Functions
  70. 8.03: Inverse Trigonometric Functions
  71. 09: Trigonometric Identities and Equations
  72. 9.00: Prelude to Trigonometric Identities and Equations
  73. 9.01: Solving Trigonometric Equations with Identities
  74. 9.02: Sum and Difference Identities
  75. 9.03: Double-Angle Half-Angle and Reduction Formulas
  76. 9.04: Sum-to-Product and Product-to-Sum Formulas
  77. 9.05: Solving Trigonometric Equations
  78. 10: Further Applications of Trigonometry
  79. 10.00: Prelude to Further Applications of Trigonometry
  80. 10.01: Non-right Triangles - Law of Sines
  81. 10.02: Non-right Triangles - Law of Cosines
  82. 10.03: Polar Coordinates
  83. 10.04: Polar Coordinates - Graphs
  84. 10.05: Polar Form of Complex Numbers
  85. 10.06: Parametric Equations
  86. 10.07: Parametric Equations- Graphs
  87. 10.08: Vectors
  88. 11: Systems of Equations and Inequalities
  89. 11.00: Prelude to Systems of Equations and Inequalities
  90. 11.01: Systems of Linear Equations - Two Variables
  91. 11.02: Systems of Linear Equations with Three Variables
  92. 11.03: Systems of Nonlinear Equations and Inequalities - Two Variables
  93. 11.04: Partial Fractions
  94. 11.05: Matrices and Matrix Operations
  95. 11.06: Solving Systems with Gaussian Elimination
  96. 11.07: Solving Systems with Inverses
  97. 11.08: Solving Systems with Cramer's Rule
  98. 12: Analytic Geometry
  99. 12.00: Prelude to Analytic Geometry
  100. 12.01: The Ellipse
  101. 12.02: The Hyperbola
  102. 12.03: The Parabola
  103. 12.04: Rotation of Axes
  104. 12.05: Conic Sections in Polar Coordinates
  105. 13: Sequences Probability and Counting Theory
  106. 13.00: Prelude to Sequences Probability and Counting Theory
  107. 13.01: Sequences and Their Notations
  108. 13.02: Arithmetic Sequences
  109. 13.03: Geometric Sequences
  110. 13.04: Series and Their Notations
  111. 13.05: Counting Principles
  112. 13.06: Binomial Theorem
  113. 13.07: Probability