Complex numbers

Complex numbers in algebraic and polar form

A:

  • Imaginary unit
  • Algebraic form of a complex number – addition, subtraction, multiplication, division
  • Complex conjugate of a complex number
  • Geometric representation of complex numbers in gaussian plain
  • Absolute value of a complex number

B:

  • Polar form of a complex number
  • Polar form of a complex number – multiplication, division
  • Polar and algebraic form conversion of complex numbers

C:

  • Simple equations of two variables with complex coefficients

Powers and roots of complex numbers

A:

  • Powers of complex numbers (de Moivre’s theorem)

B:

  • Roots of complex numbers - Binomial equations with real coefficients

C:

  • Roots of complex numbers - Binomial equations with complex coefficients

Quadratic equations with complex roots

A:

  • Quadratic equations with real coefficients
  • Factoring of quadratic trinomial

B:

  • Quadratic equations with real coefficients (complex problems)
  • Quadratic equations with real coefficients with parameter

C:

  • Quadratic equations with complex coefficients