Mathematics for Engineers

The details
Computer Science and Electronic Engineering (School of)
Colchester Campus
Undergraduate: Level 4
Thursday 03 October 2024
Friday 13 December 2024
02 May 2024


Requisites for this module


CE262, CE269, CE294

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, logarithmic 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 a given period function and explain the concept of a spectrum.

Module aims

The aims of this module are:

  • To introduce engineering mathematics to students of electronics, robotics, neural engineering and telecommunications. The course will be illuminated by lectures, practical laboratory sessions and assignments in MATLAB.

Module learning outcomes

By the end of 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 Logarithms; The inverse operations; Rules of logarithms

2. Differentiation
The derivative function
Some common derivatives
Finding the derivative of combinations of functions
Applications of differentiation
Visualisation with MATLAB

The integral as the area under a graph
Finding integrals
Applications of integration numerical methods of integration
Numerical integration with MATLAB

4. Vectors and Matrices
Vectors and vector quantities;
Basic vectors; Products of vectors;
Vector calculation (addition, subtraction, 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 are obtained by adding sinusoids
Sine and cosine series
The Fourier series of symmetric periodic functions

Learning and teaching methods

This module will be delivered via:

  • Lectures (20 hours),
  • Labs (20 hours) and
  • Classes (10 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
Coursework   Progress Test 1 - (in person, closed book)     20% 
Coursework   Progress Test 2 - (in person, closed book)    20% 
Coursework   Take Home Lab Exercises 1 - Take-home open book exercises submitted to FASER    25% 
Coursework   Take Home Lab Exercises 2 - Take-home open book exercises submitted to FASER    25% 
Coursework   Lab Quizzes (5 in-lab quizzes) Closed Book    10% 
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

No external examiner information available for this module.
Available via Moodle
No lecture recording information available for this module.


Further information

* Please note: due to differing publication schedules, items marked with an asterisk (*) base their information upon the previous academic year.

Disclaimer: The University makes every effort to ensure that this information on its Module Directory is accurate and up-to-date. Exceptionally it can be necessary to make changes, for example to programmes, modules, facilities or fees. Examples of such reasons might include a change of law or regulatory requirements, industrial action, lack of demand, departure of key personnel, change in government policy, or withdrawal/reduction of funding. Changes to modules may for example consist of variations to the content and method of delivery or assessment of modules and other services, to discontinue modules and other services and to merge or combine modules. The University will endeavour to keep such changes to a minimum, and will also keep students informed appropriately by updating our programme specifications and module directory.

The full Procedures, Rules and Regulations of the University governing how it operates are set out in the Charter, Statutes and Ordinances and in the University Regulations, Policy and Procedures.