Introduction to complex numbers
Definition of imaginary and complex numbers
Arithmetic of complex numbers
Addition, subtraction and multiplication of complex numbers
Complex conjugates and dividing complex numbers
Square roots of complex numbers
Geometric and other representations of complex numbers
Polar form and argument properties
Exponential form of a complex number
Multiplication and division in polar form
Solving equations with complex numbers
Trigonometric identities with de Moivre’s theorem
Solving complex quadratic equations
Fundamental theorem of algebra
Geometrical implications of complex numbers
Adding complex numbers as vectors
Subtracting complex numbers as vectors
Scaling and rotating complex numbers as vectors