Study information

# Mathematics for Energy Systems - 2023 entry

MODULE TITLE CREDIT VALUE Mathematics for Energy Systems 15 ENE1006 Dr Mark Callaway (Coordinator)
DURATION: TERM 1 2 3
DURATION: WEEKS 11 0 0
 Number of Students Taking Module (anticipated) 27
DESCRIPTION - summary of the module content

Mathematics is at the heart of all Science and Engineering subjects. This module covers topics that are fundamental to engineers in their professional careers.

In particular, there is a strong emphasis on the direct application of mathematics to engineering problems.

AIMS - intentions of the module
This module will consolidate and improve your mathematical skills to the extent necessary for you to engage in a BEng or MEng engineering degree programme, also these skills will be useful in your future career. You will develop a knowledge and understanding of mathematical principles necessary to underpin your education in engineering-related areas and enable you to apply mathematical methods, tools and notations proficiently in the analysis and solution of engineering problems.
This module covers Specific Learning Outcomes in Engineering, which apply to accredited programmes at Bachelors/MEng/Masters level. These contribute to the educational requirements for CEng registration (as defined under the UK Standard for Professional Engineering Competence – UK-SPEC).
This module correlates to references U2, E1, E2, E3 and E4. These references are indices of the specific learning outcomes expected of Bachelors/MEng/Masters candidates set out in UK-SPEC, codified with reference to systems used by professional accrediting institutions. A full list of the standards can be found on the Engineering Council's website, at http://www.engc.org.uk
INTENDED LEARNING OUTCOMES (ILOs) (see assessment section below for how ILOs will be assessed)

On successful completion of this module you should be able to:

## Module Specific Skills and Knowledge

1. demonstrate an understanding of the concepts of, and work with, functions in one, two or three variables, complex number and analytic functions, vector algebra involving lines and planes including the scalar (dot) and vector (cross) product, matrices including eigenvalues and eigenvectors of a matrix, differentiation and integration and first and second order ordinary differential equations (applying them to simple problems in mechanics, electrical circuit theory and evolution problems), essential statistics and probability;

## Discipline Specific Skills and Knowledge

1. formulate questions in mathematical terms and hence solve problems encountered in engineering-related areas
2. take data from a range of sources and undertake simple modelling tasks

## Personal and Key Transferable / Employment Skills and Knowledge

1. apply mathematical principles to systematically analyse problems;
2. communicate mathematical concepts and processes coherently, both orally and in writing, using correct notation.
3. demonstrate familiarity with all essential IT systems to support personal study and communicate your ideas including a text processor and a spreadsheet package.
SYLLABUS PLAN - summary of the structure and academic content of the module

- Algebra and functions;

- Complex numbers and complex variables;

- Vector algebra;

- Matrices;

- Differential calculus and applications;

- Integral calculus;

- First and second order ordinary differential equations;

- Partial differentiation;

- Statistics;

- Probability

- MATLAB

LEARNING AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
 Scheduled Learning & Teaching Activities Guided Independent Study Placement / Study Abroad 54 90 0
DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS
 Category Hours of study time Description Scheduled learning and teaching activities 44 Lectures, tutorials and IT workshops Scheduled learning and teaching activities 10 ELE-based online quizzes (formative and summative) Guided independent study 96 Lecture and assessment preparation, private study

ASSESSMENT
FORMATIVE ASSESSMENT - for feedback and development purposes; does not count towards module grade
Form of Assessment Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
Weekly tutorial sheets 2-3 hours each 1-4 Model answers/ informal feedback during tutorials

SUMMATIVE ASSESSMENT (% of credit)
 Coursework Written Exams Practical Exams 40 60 0
DETAILS OF SUMMATIVE ASSESSMENT
Form of Assessment % of Credit Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
4 ELE quizzes 4x10% 1-2 hours each 1-4

ELE-based quiz feedback and oral feedback during tutorials

Written exam (closed book) 60% 2 hours 1-4 Annotated scripts

DETAILS OF RE-ASSESSMENT (where required by referral or deferral)
Original Form of Assessment Form of Re-assessment ILOs Re-assessed Time Scale for Re-assessment
1 x Coursework 40% E-Quiz All August ref/def period
Exam 60% Written Exam (2 hours) All August ref/def period

RE-ASSESSMENT NOTES

1 x Coursework 40% and Exam 60%.

RESOURCES
INDICATIVE LEARNING RESOURCES - The following list is offered as an indication of the type & level of
information that you are expected to consult. Further guidance will be provided by the Module Convener

Web based and Electronic Resources:

Croft, A. & Davison, R. Foundation Maths Website

HELM

MathAid

Other Resources:

MathCentre: www.mathcentre.ac.uk