Resources

The navigation panel on the left takes you to some free resources that supplement several books on mathematics written by Eric Hiob:

*Book 1. Mathematics for Electrical Technology*

This book covers algebra, systems of linear equations, matrices, exponents and logarithms, and how these topics apply to DC circuits. Then it covers trigonometry, phasors, and complex numbers, and how these topics apply to AC circuits.*Book 2. Calculus for Electrical Technology*

This book covers derivatives, indefinite and definite integrals, Taylor series, and Fourier series.

It also covers complex Fourier series, Fourier transforms, discrete Fourier transforms and fast Fourier transforms.*Book 3. Differential Equations for Electrical Technology*

This book covers differential equations, Laplace transforms, difference equations, and*z*transforms.

It shows how these topics are applied to analog and digital electric circuits and to stability analysis.*Book 4. Multivariable Calculus for Electrical Technology*

This book covers curves, partial derivatives, multiple integrals, vector fields, line integrals, surface integrals, Gauss’, Green’s and Stokes’ theorems.

It also introduces partial differential equations, including Maxwell's equations, and how to solve them using finite difference methods.

The resources are Excel spreadsheets and Maple workbooks that solve problems found in
these books.

Problem solving in mathematics can be divided into two branches – analytical
methods and numerical methods.

- An
**analytical method**is one solves a problem by manipulating formulas and gives the answer in the form of a formula. (An example is the quadratic formula.) It is the preferred method but unfortunately only simple and idealized problems can be solved this way. Maple is one of the best apps for solving problems analytically.

- A
**numerical method**is one that gives the answer in the form of a table of numbers. It is often the only way of solving messy real-world problems. Excel is one of the best apps for doing this.

Excel comes with a programming language called Visual Basic (VB). This is the same language that the Algebra Coach and the apps of the Math for Technology Suite are written in. If you are learning programming then you can learn a lot by looking at the VB programs (also called macros) in the spreadsheets.