Definition and notation. Construction of a short table of transforms. Discussion of some of the properties of the transform such as Linearity, the First Shift Theorem and the Derivative property. Determination of inverse transforms via table look-up and partial fraction expansions. The solution of ordinary differential equations with constant coefficients and specified initial conditions subject to the various inputs which arise in electrical engineering problems.

The trigonometric form of the Fourier series representation of periodic signals such as the square wave, sawtooth waveform and the triangular waveform. Simplification of the formulae for Fourier coefficients for even and odd functions. Discrete frequency spectra – amplitude and phase spectra.

Review of prerequisites from probability theory including the Normal distribution. Discussion of the distribution of the sample mean via the Central Limit theorem. Confidence intervals for population means. Hypothesis tests – null hypothesis, alternative hypothesis. One-tailed and two-tailed tests.

Introduction to the Maple software package. Use of the package to implement a wide variety of the mathematical functions and techniques used in engineering. Application of Maple packages dealing with Laplace transforms and differential equations.