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