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Advanced Algebra

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Advanced Algebra

Intermediate Algebra is the second part of a two-part course in Algebra that builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study of applications found in most disciplines. Used as a standalone textbook, it offers plenty of review as well as something new to engage the student in each chapter. This textbook introduces functions early and stresses the geometry behind the algebra.

AlgebraMathematics
Author
Anonymous
Publisher
LibreTexts
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 68 sections
  1. 01: Algebra Fundamentals
  2. 1.0E: 1.E: Algebra Fundamentals (Exercises)
  3. 1.01: Review of Real Numbers and Absolute Value
  4. 1.02: Operations with Real Numbers
  5. 1.03: Square and Cube Roots of Real Numbers
  6. 1.04: Algebraic Expressions and Formulas
  7. 1.05: Rules of Exponents and Scientific Notation
  8. 1.06: Polynomials and Their Operations
  9. 1.07: Solving Linear Equations
  10. 1.08: Solving Linear Inequalities with One Variable
  11. 02: Graphing Functions and Inequalities
  12. Functions
  13. Absolute Value Functions
  14. Composition of Functions
  15. Domain and Range
  16. Functions and Function Notation
  17. Inverse Functions
  18. Prelude to Functions
  19. Rates of Change and Behavior of Graphs
  20. Transformation of Functions
  21. 04: Polynomial and Rational Functions
  22. 40E: 4E: Polynomial and Rational Functions (Exercises)
  23. 401: Algebra of Functions
  24. 402: Factoring Polynomials
  25. 403: Factoring Trinomials
  26. 404: Solve Polynomial Equations by Factoring
  27. 405: Rational Functions Multiplication and Division
  28. 406: Rational Functions Addition and Subtraction
  29. 407: Solving Rational Equations
  30. 408: Applications and Variation
  31. 05: Radical Functions and Equations
  32. 5.0E: 5.E: Radical Functions and Equations (Exercises)
  33. 5.01: Roots and Radicals
  34. 5.02: Simplifying Radical Expressions
  35. 5.03: Adding and Subtracting Radical Expressions
  36. 5.04: Multiplying and Dividing Radical Expressions
  37. 5.05: Rational Exponents
  38. 5.06: Solving Radical Equations
  39. 5.07: Complex Numbers and Their Operations
  40. 06: Solving Equations and Inequalities
  41. 60E: 6E: Solving Equations and Inequalities (Exercises)
  42. 601: Extracting Square Roots and Completing the Square
  43. 602: Quadratic Formula
  44. 603: Solving Equations Quadratic in Form
  45. 604: Quadratic Functions and Their Graphs
  46. 605: Solving Quadratic Inequalities
  47. 606: Solving Polynomial and Rational Inequalities
  48. 07: Exponential and Logarithmic Functions
  49. 7.0E: 7.E: Exponential and Logarithmic Functions (Exercises)
  50. 7.01: Composition and Inverse Functions
  51. 7.02: Exponential Functions and Their Graphs
  52. 7.03: Logarithmic Functions and Their Graphs
  53. 7.04: Properties of the Logarithm
  54. 7.05: Solving Exponential and Logarithmic Equations
  55. 7.06: Applications
  56. 08: Conic Sections
  57. 8.0E: 8.E: Conic Sections (Exercises)
  58. 8.01: Distance Midpoint and the Parabola
  59. 8.02: Circles
  60. 8.03: Ellipses
  61. 8.04: Hyperbolas
  62. 8.05: Solving Nonlinear Systems
  63. 09: Sequences Series and the Binomial Theorem
  64. 9.0E: 9.E: Sequences Series and the Binomial Theorem (Exercises)
  65. 9.01: Introduction to Sequences and Series
  66. 9.02: Arithmetic Sequences and Series
  67. 9.03: Geometric Sequences and Series
  68. 9.04: Binomial Theorem