Mathematics is the foundation of all engineering practices and therefore this mathematics module is the umbrella onto which many engineering modules are attached. The approach to the material comes in two ways. On the one hand, lectures cover rigorous mathematical principles to ensure depth of knowledge that is, on the other hand, closely related to the engineering applications where the fundamental mathematical principles are brought to life in an engineering context. These applications will form the direct link between what you learn in mathematics and what you apply in your other engineering modules. The module will be the first stage towards ensuring that you have the required robust mathematics skills to proceed to more complex modules in the higher years. The module is structured in two parts, Mathematics 1A and Mathematics 1B, whch are assessed separately.

Upon successful completion of both parts of this module you will be able to:

1. apply the techniques of single-variable calculus to obtain solutions to a wide variety of applications of differentiation and integration.
2. utilize the concepts of complex number, functions, limits and series to perform, among others, Fourier Analysis of periodic and non-periodic functions.
3. use the techniques of vector and linear algebra to analyze and apply the correct solution method in a range of problems involving vectors, matrices and systems of equations.
4. identify and apply the correct approach to solving different types of first- and second-order ordinary differential equations.
5. explain and apply the concepts and techniques of multivariable calculus and tackle problems in their appropriate context.
6. explain where and how the mathematical concepts are applied in engineering problems in electromagnetism, signal processing and communications.

Part A: Complex Numbers, Functions, Limits, Differentiation, Integration, Series, First- and Second-order Differential Equations, Vectors. Part B: Double Integration, Fourier Series, Fourier Transforms, Laplace Transforms, Multivariable Calculus, Linear Algebra. Where appropriate, maths examples will be linked to engineering applications and further reading is available on blackboard to extend insight and knowledge. The applications of several topics will be further explored in Topics in Electrical Engineering.