Algebra

Definition

Algebra can essentially be considered as doing computations similar to that of arithmetic with non-numerical mathematical objects.

Topics

Manipulating Equations
  • Rearranging Equations
  • Substitution
  • Expanding Brackets
  • Factorising Expressions
  • Polynomial Division
Solving Equations
  • Solving Linear Equations in One Variable
  • Solving Quadratic Equations
  • The Quadratic Formula
  • Completing the Square
  • Solving Cubic Equations
  • Solving Inequalities
  • Simultaneous Equations
  • The Fundamental Theorem of Algebra
Fractions
  • Fractions
  • Partial Fractions
Powers, Logarithms and Factorials
  • Powers
  • Logarithms
  • Factorials
Complex Numbers
  • Complex Arithmetic
  • Modulus and Argument
  • Polar Form and De Moivre's Theorem
  • Complex Roots of Polynomials
  • Euler's Formula and Euler's Identity