Proofs Euler's formula using the MacLaurin series for sine and cosine. Introduces Euler's identify and Cartesian and Polar coordinates.
Describes Oliver Heaviside's method to decompose rational functions of polynomials as they occur when using the Laplace or Z-transforms.
Introduces complex numbers in an intuitive way, drawing a parallel to negative numbers.
Introduce the functions that operate on complex arguments. Shows how arithmetic functions extend from the 1D number line into the 2D complex-plane.
A quadratic equation is any equation that can be rearranged in standard form as ax2+bx+c=0