ENGINEERING MATHEMATICS III - 2026/7

Module Overview

This module builds on the fundamental tools and concepts introduced in the Year 1 mathematics modules MAT1044 Engineering Mathematics and EEE1032 Mathematics II: Engineering Mathematics. A broad range of mathematical topics are covered with applications to problems in electronic engineering.

Module provider

Computer Science and Electronic Eng

Module Leader

TORRIELLI Alessandro (Maths & Phys)

Number of Credits: 15

ECTS Credits: 7.5

Framework: FHEQ Level 5

Module cap (Maximum number of students): N/A

Module Availability

Semester 1

Prerequisites / Co-requisites

None

Module content

Indicative content includes:

• Mechanics:

Revision topics: partial derivatives, higher partial derivatives, gradient and Laplacian of a two-variable scalar function; differentiation of a single-variable vector function and applications to classical mechanics.

Core topics: partial derivatives, higher partial derivatives, gradient and Laplacian of a three-variable

scalar function; divergence and curl of a vector function; translational motion in 3D (kinematics, forces, dynamics, Newton's laws, momentum, equilibrium, work, power, kinetic and potential energy, and conservative forces); rotational motion in 3D (kinematics, moments, dynamics, angular momentum, angular inertia, and general equilibrium).

• Advanced Fourier Series and Transforms: 

Revision topics: Fourier series and Fourier transforms.

Core topics: the Dirac delta function and its Fourier transform; further properties of Fourier transforms; convolution; cross-correlation and autocorrelation; applications in electronic engineering.

• Laplace Transforms:     

Core topics: Laplace transform (definition and properties); calculating Laplace transforms; table of Laplace transforms; inverse Laplace transform using tables and partial fractions; applications to initial value problems arising in electronic engineering.

• Z Transforms:       

Core topics: Z transform (definition and properties); calculating Z transforms; table of Z transforms; inverting Z transform using tables; applications in electronic engineering.

• Partial Differential Equations (PDEs):     

Core topics: introduction to linear PDEs; method of separation of variables; examples including the heat equation and wave equation. 

Extension topic: Maxwell¿s equations in the theory of classical electromagnetism.

Assessment pattern

Alternative Assessment

None

Assessment Strategy

The assessment strategy for this module is designed to provide students with the opportunity to demonstrate the learning outcomes. The written examination will assess the knowledge and assimilation of mathematical terminology, notation, concepts and techniques, as well as the ability to work out solutions to previously unseen problems under time-constrained conditions. The assignments give the students a chance to practise the required techniques shortly after they have been taught and in problems of a similar level to those that they will meet in the exam.

Thus, the summative assessment for this module consists of the following.

• Two take-home problem sheets, submitted as coursework.
• Closed-book written examination.

 Formative assessment and feedback

For the module, students will receive formative assessment/feedback in the following ways.

·         During lectures, by question and answer sessions

·         During office hour meetings with students

·         By means of unassessed tutorial problems in the notes (with answers/model solutions)

·         Via assessed coursework

Any deadlines given here are indicative. For confirmation of exact dates and times, please check the assessment calendar issued to you.

Module aims

• Extend students' understanding of mathematical concepts and techniques.
• Provide students with an understanding of mechanics, advanced Fourier series, Fourier transforms, Laplace transforms, Z transforms and partial differential equations.
• Enable students to apply their mathematical knowledge and skills to electronic engineering problems.

Learning outcomes

Methods of Teaching / Learning

The learning and teaching strategy is designed to:

• Provide students with revision of two-variable differential and vector calculus, and Fourier series and transforms from Year 1.
• Provide students with an understanding of mechanics, advanced Fourier series, Fourier transforms, Laplace transforms, Z transforms and partial differential equations, supported by extensive use of examples and applications.
• Provide students with experience of mathematical methods used to understand and solve electronic engineering problems.

The learning and teaching methods include:

• Three one-hour lectures for eleven weeks, with module notes provided to complement the lectures. These lectures provide a structured learning environment and opportunities for students to ask questions and to practice methods taught.
• Eleven tutorials for guided discussion of solutions to problem sheets (provided to students in advance) to reinforce their understanding of mathematical concepts and methods, and enable students to engage in solving mathematical problems relating to electronic engineering.
• Formative online unassessed courseworks designed to provide students with opportunities to consolidate learning. Feedback on these unassessed courseworks will provide students with guidance on their progress and understanding.
• Lectures will cover core topics. Video recordings of core topics covered in lectures may be provided. These recordings are intended to give students an opportunity to review parts of lectures which they may not fully have understood and should not be seen as an alternative to attending lectures.
• Additional video recordings of revision topics and extension topics will be provided. Extension topics will also be covered via problems discussed in tutorials using a flipped learning approach.

Indicated Lecture Hours (which may also include seminars, tutorials, workshops and other contact time) are approximate and may include in-class tests where one or more of these are an assessment on the module. In-class tests are scheduled/organised separately to taught content and will be published on to student personal timetables, where they apply to taken modules, as soon as they are finalised by central administration. This will usually be after the initial publication of the teaching timetable for the relevant semester.

Reading list

https://readinglists.surrey.ac.uk
Upon accessing the reading list, please search for the module using the module code: EEE2035

Other information

The Faculty of Engineering and Physical Sciences is committed to developing graduates with strengths in Digital Capabilities, Employability, Global and Cultural Capabilities, Resourceness and Resilience, and Sustainability. This module is designed to allow students to develop knowledge, skills and capabilities in the following areas:

Digital Capabilities: The SurreyLearn page for EEE2035 features a dynamic discussion forum where students can pose questions and engage with others using e.g. LaTeX and MathML tools. This enhances their digital competencies while facilitating collaborative learning and information sharing. Students also complete digital assessments which enable them to further develop their digital capabilities.

Employability: The module EEE2035 equips students with skills which significantly enhance their employability. The mathematical proficiency gained hones critical thinking and problem-solving abilities. Students learn to analyse real-world problems and apply mathematical techniques to arrive at solutions. These are highly sought after skills in electronic engineering and in many professions.

Global and Cultural Capabilities: Students enrolled in EEE2035 originate from a variety of countries and have a wide range of cultural backgrounds. Students are encouraged to work together during problem-solving teaching activities in tutorials and lectures, which naturally facilitates the sharing of different cultures.

 Resourcefulness and Resilience: EEE2035 is a module which demands the analytical ability to perform mathematical calculations accurately. Students will gain skills in mathematically modelling electronic engineering problems, and will complete assessments which challenge them and build resilience.

Programmes this module appears in

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2026/7 academic year.