Quadratic equations Derives the equation for the roots of a general quadratic equation.

Complex Functions [latex][/latex]All our arithmetic functions gracefully extend from the one-dimensional number line into the 2-dimensional \(\mathbb{C}\)-plane. We will introduce the functions that operate on complex arguments.

Complex Numbers Instead of projecting the future merits of complex numbers, we will introduce them in an intuitive way. We draw a parallel to negative numbers that have been universally accepted around the same time.

Laurent Series Named after Pierre Alphonse Laurent, a French mathematician and Military Officer, published in the series 1843. The Laurent series is a representation of a complex function f(z) as a series. Unlike the Taylor series which expresses \(f(z)\) as a series of terms with non-negative powers of \(z\), a Laurent series includes terms with negative powers. …

Partial Fraction Expansion Oliver Heaviside (1850-1925), was an English electrical engineer, mathematician and physicist who among many things adapted complex numbers to the study of electrical circuits. He introduced a method to decompose rational function of polynomials as they occur when using the Laplace transform to solve differential equations. Whenever the denominator of a rational function can be …

Complex Arithmetic Formulas Complex arithmetic formulas written in LaTex used in the HP-41 program. Includes everything from power to trigonometric functions.

Euler’s formula Proofs Euler's formula using the MacLaurin series for sine and cosine. Introduces Euler's identify and Cartesian and Polar coordinates.

Complex Arithmetic in Extended Memory for HP-41cv/cx Introduces complex number operations to the HP-41CV and HP-41CX pocket calculators. Easy to use. Magnitude of functions. Runs in extended memory.

Complex Arithmetic with Adjustable Branch Cut for HP-41cv/cx This program introduces complex number operations to the HP-41 calculator. You can adjust the branch cut in the complex plane.