Malone Global University Logo Malone Global University

Algebra

Condensed Math Topics – Index

A tutor’s guide and expanded learning resource. Explore topics in order or jump to the one you need.

  1. Polynomials
  2. Basic Structure of a Polynomial
  3. Polynomial Operations
  4. Adding Polynomials
  5. Subtracting Polynomials
  6. Multiplying Polynomials (FOIL)
  7. Substitution, Association, Distribution, and Equivalence Statements
  8. Special Polynomial Forms
  9. Dividing Polynomials
  10. Rational Expressions
  11. Equivalence Statements
  12. Factoring
  13. Difference of Squares, Cubics, and Other Formulas
  14. Factoring By Grouping
  15. Graphing Functions
  16. A Function Defined Plainly
  17. Types of Functions
  18. Linear Equations
  19. Linear Equation Formulas
  20. Systems of Equations
  21. Substitution Method
  22. Elimination Method
  23. Function Notation and Intercept Notation
  24. Direct and Indirect Notation
  25. The Inverse of a Function
  26. Identity Function
  27. Injective, Surjective and Bijective
  28. Finding the Inverse for a Function
  29. Chart of Squares
  30. Inverse of a Line
  31. Finding the Inverse for a Cubic Function
  32. Finding the Inverse for Any Function
  33. Compositions
  34. Difference Between an Anti-Function and Inverse Function
  35. Quadratics
  36. Classification of Numbers by Set Notation
  37. Quadratic Formula
  38. Deriving the Quadratic Formula
  39. Completing the Square
  40. Al Khwarizmi Identity
  41. Graphing Quadratics
  42. The Discriminant
  43. Cubics, Quartics, and Higher Powered Quadratics
  44. Exponential Functions
  45. Logarithmic Functions
  46. Graphing Cubics
  47. Cubic Formula
  48. Inequalities
  49. Interval Notation
  50. Recap Using Greek Methods
  51. Conic Sections
  52. Parabolas
  53. Al Khwarizmi’s Identity Revisited
  54. Graphing with Real Roots
  55. Complex Numbers
  56. Graphing Sideways Parabolas
  57. Parametric Formulas
  58. Vertex Formula
  59. Distance and Midpoint Formula
  60. Circles
  61. Ellipses
  62. Hyperbolas
  63. Linear and Nonlinear Systems of Equations
  64. Systems with Three Variables
  65. Matrix Elimination
  66. Determinants and Cramer’s Rule
  67. Business Applications of Matrices
  68. Linear Algebra for College Students
  69. Set Notation
  70. Unions and Intersections
  71. Color Theory
  72. Absolute Value Principle
  73. Inequalities with Absolute Value
  74. Equations with Absolute Value
  75. Graphing Inequalities
  76. Inequalities in Two Variables
  77. Linear Inequalities
  78. Graphing Linear Inequalities
  79. Vertical Lines
  80. Linear Programming
  81. Linear Programming Word Problems
  82. Sequences, Series, and Sigma Notation
  83. Arithmetic Sequences and Series
  84. Geometric Sequences and Series
  85. Infinite Geometric Series
  86. Bungee Jump
  87. Combinatorics
  88. Combinatorics: Permutations
  89. Fundamental Counting Principle
  90. Combinatorics: Combinations
  91. Deriving the Combination Formula
  92. Binomial Coefficient Notation
  93. Gaussian Sums
  94. Number Letter Cypher
  95. Geometric Sequence of Imperial Measurement System
  96. Final Matrix
  97. Final Number to Letter Function
  98. How to Draw Squares and Cubes
  99. Activity: 2D Pairings from 3 Dimensions
  100. Activity: Planes of Existence from 3 Combinations
  101. Matrix in 3 Dimensions
  102. Base Systems
  103. The Binomial Theorem
  104. Pascal’s Triangle
  105. The Binomial Theorem Using Binomials
  106. Probability
  107. Key Words, Phrases, and Ideas
  108. Average, Median, and Mode
  109. Coin Toss
  110. Die Rolls
  111. Cards in a Deck
  112. Cubes
  113. City Blocks and Taxicab Algebra