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## ELEC40010 Mathematics 1A

Lecturer(s): Dr Daniel Nucinkis

### Aims

Mathematics is the foundation of all engineering practices and therefore this mathematics module is the umbrella onto which all other modules in the first year are attached. The module consists of two main parts. One part covers rigorous mathematical principles to ensure depth of knowledge that is going hand-in-hand with the practical application of mathematics where the fundamental mathematical principles are brought to life in an electrical 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.

### Learning Outcomes

Upon successful completion 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.

### Syllabus

Complex Numbers, Functions, Limits, Differentiation, Integration, Series, Vector Algebra, Linear Algebra, First- and Second-order Differential Equations, Time-domain analysis of LTI systems, Multivariable Calculus, Fourier Series, Fourier Transforms. At the appropriate stages in the mathematics syllabus the mathematics will be linked with engineering applications in electromagnetism, signal processing and communications.
Assessment
Exam Duration: 2:00hrs
Coursework contribution: 25%

Term: Autumn

Closed or Open Book (end of year exam): Closed

Coursework Requirement:
Laboratory Experiment
Non-assessed problem sheets

Oral Exam Required (as final assessment): no

Prerequisite module(s): None required

Course Homepage: unavailable

Book List: