Mathematics for Engineers

The details
Computer Science and Electronic Engineering (School of)
Colchester Campus
Undergraduate: Level 4
Thursday 05 October 2023
Friday 15 December 2023
10 August 2023


Requisites for this module


CE262, CE269

Key module for

BENGH610 Electronic Engineering,
BENGH611 Electronic Engineering (Including Year Abroad),
BENGH61P Electronic Engineering (Including Foundation Year),
BENGHP10 Electronic Engineering (Including Placement Year),
MENGH613 Electronic Engineering,
MENGH614 Electronic Engineering (Integrated Masters, Including Placement Year),
BENGH641 Communications Engineering,
BENGHP41 Communications Engineering (Including Foundation Year),
BENGHPK1 Communications Engineering (Including Placement Year),
BENGHQ41 Communications Engineering (Including Year Abroad),
BENGH615 Robotic Engineering,
BENGH616 Robotic Engineering (Including Year Abroad),
BENGH617 Robotic Engineering (Including Placement Year),
BENGH618 Robotic Engineering (Including Foundation Year),
BSC H631 Electronics,
BSC H632 Electronics (Including Year Abroad),
BSC H633 Electronics (Including Placement Year),
BENGH730 Mechatronic Systems,
BENGH731 Mechatronic Systems (Including Year Abroad),
BENGH732 Mechatronic Systems (Including Placement Year),
BENGH733 Mechatronic Systems (Including Foundation Year),
BENGH169 Neural Engineering with Psychology,
BENGH170 Neural Engineering with Psychology (including Placement Year),
BENGH171 Neural Engineering with Psychology (including Year Abroad),
BENGH172 Neural Engineering with Psychology (including Foundation Year),
BSC H737 Mechatronics,
BSC H738 Mechatronics (including Placement Year),
BSC H739 Mechatronics (including Year Abroad),
BSC H167 Neural Technology with Psychology,
BSC H168 Neural Technology with Psychology (including Year Abroad),
BSC H176 Neural Technology with Psychology (including Placement Year),
BSC H717 Robotics,
BSC H718 Robotics (including Placement Year),
BSC H719 Robotics (including Year Abroad)

Module description

This module will introduce engineering mathematics to students, including a number of special functions: trigonometric, lorgarithmic and exponential. It will explain the operations of differentiation and integration. Complex number operations are demonstrated along with complex routes of polynomials. Students will also learn to perform basic operations with vectors and matrices and find the Fourier series of aa given period function, and explain the concept of a spectrum.

Module aims

The aim of this module is to introduce engineering mathematics to students of electronic engineering and telecommunications. The course will be illuminated by lectures, practical laboratory sessions and assignments in MATLAB.

Module learning outcomes

After completing this module, students will be expected to be able to:

1.Recognise, and perform routine calculations with a number of special functions, including trigonometric, logarithmic and exponential functions.

2. Define and explain the operations of differentiation and integration, and use appropriate rules to find derivatives and integrals.

3. Execute basic operations with vectors (including products of vectors) and matrices (+, -, x, determinants, inverse), and solve systems of linear equations via matrices.

4. Execute basic operations with complex numbers (+, -, x, /, *), and convert between Cartesian and polar forms. Find roots of polynomials (real and complex).

5. Find the Fourier series of a given periodic function, and explain the concept of the spectrum of a periodic function.

Module information

Outline Syllabus

1. Special Functions
Polynomial, trigonometric, logarithmic and exponential functions
Powers and Logatithms; The inverse operations; Rules of logarithms
Right-angle triangles,;The quadratic function; Symmetry of functions and their graphs
Visualisation with MATLAB

2. Differentiation
The derivative function
Some comon derivativesFinding the derivative of combinations of functionsApplications of differentiation
Visualisation with MATLAB

3. Integration
The integral as the area under a graph
Finding integralsApplications of integrationnumerical methods of integrationNumerical integration with MATLAB

4. Vectors and Matrices
Vectors and vector quantities;
Basic vectors; Products of vectors;
Vector calculation (addition, substraction and multiplication)
Matrix calculations (addition, subtraction and multiplication)
The matrix form of a set of linear equations
Determinants and inversion of 2x2 matrices
Visualisation with MATLAB

5. Complex Numbers
The square-root of negative numbers, and the number j
Cartesian representation of complex numbers: addition, subtraction, multiplication and division;
Complex numbers and operations
Polar representation: multiplication and division, conversion between forms
Applications to A.C. Linear circuits
Complex arithmetic with MATLAB

6. Fourier Series
Periodic functions obtained by adding sinusoids
Sine and cosine seriesThe Fourier series of symmetric periodic functionsAmplitude and phase representation of a Fourier seriesComputation and visualisation of Fourier series with MATLAB

Learning and teaching methods

Lectures (20 hours) and Labs (20 hours)


This module does not appear to have a published bibliography for this year.

Assessment items, weightings and deadlines

Coursework / exam Description Deadline Coursework weighting
Exam  Main exam: In-Person, Open Book (Restricted), 120 minutes during January 
Exam  Reassessment Main exam: In-Person, Open Book (Restricted), 120 minutes during September (Reassessment Period) 

Exam format definitions

  • Remote, open book: Your exam will take place remotely via an online learning platform. You may refer to any physical or electronic materials during the exam.
  • In-person, open book: Your exam will take place on campus under invigilation. You may refer to any physical materials such as paper study notes or a textbook during the exam. Electronic devices may not be used in the exam.
  • In-person, open book (restricted): The exam will take place on campus under invigilation. You may refer only to specific physical materials such as a named textbook during the exam. Permitted materials will be specified by your department. Electronic devices may not be used in the exam.
  • In-person, closed book: The exam will take place on campus under invigilation. You may not refer to any physical materials or electronic devices during the exam. There may be times when a paper dictionary, for example, may be permitted in an otherwise closed book exam. Any exceptions will be specified by your department.

Your department will provide further guidance before your exams.

Overall assessment

Coursework Exam
50% 50%


Coursework Exam
50% 50%
Module supervisor and teaching staff
Dr Eirina Bourtsoulatze, email: e.bourtsoulatze@essex.ac.uk.
Dr Eirina Bourtsoulatze, Dr Perdikis
School Office, email: csee-schooloffice (non-Essex users should add @essex.ac.uk to create full e-mail address), Telephone 01206 872770



External examiner

Dr Lakjaya Buluwela
Imperial College of Science Technology and Medicine
Reader in Cancer Medicine
Available via Moodle
No lecture recording information available for this module.


Further information

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