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College Algebra (NWTC)

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College Algebra (NWTC)

This text covers a comprehensive range of algebraic principles, including equations and inequalities, functions, polynomial and rational functions, exponential and logarithmic functions, and systems of equations and inequalities. It provides a solid foundation in algebra.

Mathematics
Author
Northeast Wisconsin Technical College
Publisher
College Algebra (NWTC)
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 63 sections
  1. 01: Functions
  2. 1.01: Functions and Function Notation
  3. 1.1E: Functions and Function Notation
  4. 1.02: Domain and Range
  5. 1.2E: Domain and Range
  6. 1.03: Rates of Change and Behavior of Graphs
  7. 1.3E: Rates of Change and Behavior of Graphs
  8. 1.04: Composition of Functions
  9. 1.4E: Composition of Functions
  10. 1.05: Transformation of Functions
  11. 1.5E: Transformation of Functions
  12. 1.06: Inverse Functions
  13. 1.6E: Inverse Functions
  14. 02: Linear Functions
  15. 2.01: Linear Functions
  16. 2.1E: Linear Functions (Exercises)
  17. 2.02: Graphs of Linear Functions
  18. 2.2E: Graphs of Linear Functions (Exercises)
  19. 2.03: Modeling with Linear Functions
  20. 2.3E: Modeling with Linear Functions (Exercises)
  21. 2.04: Fitting Linear Models to Data
  22. 2.4E: Fitting Linear Models to Data (Exercises)
  23. 03: Polynomial Functions
  24. 3.01: Power Functions
  25. 3.1E: Power Functions (Exercises)
  26. 3.02: Quadratic Functions
  27. 3.2E: Quadratic Functions (Exercises)
  28. 3.03: Graphs of Polynomial Functions
  29. 3.3E: Graphs of Polynomial Functions (Exercises)
  30. 3.04: Factor Theorem and Remainder Theorem
  31. 3.4E: Factor Theorem and Remainder Theorem (Exercises)
  32. 3.05: Real Zeros of Polynomials
  33. 3.5E: Real Zeros of Polynomials (Exercises)
  34. 3.06: Complex Zeros
  35. 3.6E: Complex Zeros (Exercises)
  36. 04: Rational and Radical Functions
  37. 4.01: Rational Functions
  38. 4.1.01: Rational Functions (Exercises)
  39. 4.02: Further Topics in Functions
  40. 05: Exponential and Logarithmic Functions
  41. 5.01: Introduction to Exponential and Logarithmic Functions
  42. 5.02: Properties of Logarithms
  43. 5.03: Exponential Equations and Inequalities
  44. 5.04: Logarithmic Equations and Inequalities
  45. 5.05: Applications of Exponential and Logarithmic Functions
  46. 06: Conic Sections
  47. 6.01: Introduction to Conics
  48. 6.02: Circles
  49. 6.03: Ellipses
  50. 6.04: Parabolas
  51. 6.05: Hyperbolas
  52. 07: Systems
  53. 7.01: Prelude to Systems of Equations and Inequalities
  54. 7.02: Systems of Linear Equations - Two Variables
  55. 7.03: Systems of Linear Equations - Three Variables
  56. 7.04: Systems of Nonlinear Equations and Inequalities - Two Variables
  57. 7.05: Partial Fractions
  58. 7.06: Matrices and Matrix Operations
  59. 7.07: Solving Systems with Gaussian Elimination
  60. 7.08: Solving Systems with Inverses
  61. 7.09: Solving Systems with Cramer's Rule
  62. 7.E: Systems of Equations and Inequalities (Exercises)
  63. 7.R: Systems of Equations and Inequalities (Review)