Phu Xuan University Library
Precalculus

External

Precalculus

Author
Carl Stitz & Jeff Zeager
Publisher
Lakeland Community College & Lorain County Community College
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Contents· 72 sections
  1. 01: Relations and Functions
  2. 1.01: Sets of Real Numbers and the Cartesian Coordinate Plane
  3. 1.02: Relations
  4. 1.03: Introduction to Functions
  5. 1.04: Function Notation
  6. 1.05: Function Arithmetic
  7. 1.6: Graphs of Functions
  8. 1.07: Transformations
  9. 02: Linear and Quadratic Functions
  10. 2.01: Linear Functions
  11. 2.02: Absolute Value Functions
  12. 2.03: Quadratic Functions
  13. 2.04: Inequalities with Absolute Value and Quadratic Functions
  14. 2.05: Regression
  15. 03: Polynomial Functions
  16. 3.01: Graphs of Polynomials
  17. 3.02: The Factor Theorem and the Remainder Theorem
  18. 3.03: Real Zeros of Polynomials
  19. 3.04: Complex Zeros and the Fundamental Theorem of Algebra
  20. 04: Rational Functions
  21. 4.01: Introduction to Rational Functions
  22. 4.02: Graphs of Rational Functions
  23. 4.03: Rational Inequalities and Applications
  24. 05: Further Topics in Functions
  25. 5.02: Function Composition
  26. 5.3: Other Algebraic Functions
  27. 5.04: Other Algebraic Functions
  28. 06: Exponential and Logarithmic Functions
  29. 6.01: Introduction to Exponential and Logarithmic Functions
  30. 6.02: Properties of Logarithms
  31. 6.03: Exponential Equations and Inequalities
  32. 6.04: Logarithmic Equations and Inequalities
  33. 6.05: Applications of Exponential and Logarithmic Functions
  34. 07: Hooked on Conics
  35. 7.01: Introduction to Conics
  36. 7.02: Circles
  37. 7.03: Parabolas
  38. 7.04: Ellipses
  39. 7.05: Hyperbolas
  40. 08: Systems of Equations and Matrices
  41. 8.01: Systems of Linear Equations- Gaussian Elimination
  42. 8.02: Systems of Linear Equations- Augmented Matrices
  43. 8.03: Systems of Linear Equations- Matrix Inverses
  44. lek
  45. 8.04: Matrix Arithmetic
  46. 8.05: Determinants and Cramers Rule
  47. 8.06: Partial Fraction Decomposition
  48. 8.07: Systems of Non-Linear Equations and Inequalities
  49. 09: Sequences and the Binomial Theorem
  50. 9.01: Sequences
  51. 9.02: Summation Notation
  52. 9.03: Mathematical Induction
  53. 9.04: The Binomial Theorem
  54. 10: Foundations of Trigonometry
  55. 10.01: Angles and their Measure
  56. 10.02: The Unit Circle- Cosine and Sine
  57. 10.03: The Six Circular Functions and Fundamental Identities
  58. 10.04: Trigonometric Identities
  59. 10.05: Graphs of the Trigonometric Functions
  60. 10.06: The Inverse Trigonometric Functions
  61. 10.07: Trigonometric Equations and Inequalities
  62. 11: Applications of Trigonometry
  63. 11.01: Applications of Sinusoids
  64. 11.02: The Law of Sines
  65. 11.03: The Law of Cosines
  66. 11.04: Polar Coordinates
  67. 11.05: Graphs of Polar Equations
  68. 11.06: Hooked on Conics Again
  69. 11.07: Polar Form of Complex Numbers
  70. 11.08: Vectors
  71. 11.09: The Dot Product and Projection
  72. 11.10: Parametric Equations