Mathematics for Energy Systems - 2019 entry
MODULE TITLE | Mathematics for Energy Systems | CREDIT VALUE | 15 |
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MODULE CODE | CSM1040 | MODULE CONVENER | Dr Houry Melkonian (Coordinator) |
DURATION: TERM | 1 | 2 | 3 |
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DURATION: WEEKS | 11 | 0 | 0 |
Number of Students Taking Module (anticipated) | 27 |
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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.
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
The module is designed to deliver first year undergraduate Mathematics using the blended learning approach in learning and teaching. This online activity will be viewed as an educational platform to engage with students and guide their interactions within the course structure. Its primary object is to ensure the achievement of the learning outcomes in a way that helps facilitate the students' transition into Higher Education sealing the gaps they have in their mathematics educational background.
The online platform consists of packages, each package compounds a combination of learning and teaching activities such as recorded lectures which are enhanced by the use of visualiser/power-point presentations, e-summative assessments/quizzes counting towards the final grade of this course, lecture notes and tutorial sheets with model answers.
The following describes the functionality of each of these components:
Video records: Recorded lectures by the module convenor supported by the use of instructional designs that facilitate step-by-step attainment of increasingly complex competencies and skills ensuring the achievement of the expected learning outcomes; the lectures are supported by a variety of different examples rated as 2-5 of difficulty levels (where 0 is very easy and 5 difficult).
e-summative assessments: The course has two summative assessments, the first of which consists of 4 e-quizzes (total: worth of 40%), while the second one is an end of term exam (worth of 60%) . The students must complete an e-quiz quarterly during the term (4 in total) to ensure their understanding before embarking on new challenges and topics (The student will not be able to start the next e-quiz unless achieves 90% in the current one); students will have a finite number of attempts for each e-quiz in this course set at five (5) chances at a maximum; the grades will automatically be released by the end of the e-quiz providing the students with a constructive feedback about the solutions that went wrong and how their performance can be improved for future assessments. The main exam will be attempted after the completion of the whole course at the end of the academic term during which the students' learning and performance levels will be assessed across the topics covered.
Tutorials and model answers: Each week an hour of interactive tutorial sessions will be conducted where the students will have the chance to work in groups, engage and acquire clarifications about any of the challenges they face while they prepare for the lectures (using the recorded videos: visualiser/power-point based presentations as components of the blended learning educational platform). It is also a chance for the students to discuss the outcome and the feedback of their e-quizzes with peers in groups with the help of the module leader and/or the teaching assistants.
Lecture notes and tutorial sheets: Prior to each teaching week, the students will have access to the lecture notes produced during the video recordings, as well as, the tutorial questions designed to cover the learning outcomes.
On successful completion of this module you should be able to:
Module Specific Skills and Knowledge
- 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
- formulate questions in mathematical terms and hence solve problems encountered in engineering-related areas
- take data from a range of sources and undertake simple modelling tasks
Personal and Key Transferable / Employment Skills and Knowledge
- apply mathematical principles to systematically analyse problems;
- communicate mathematical concepts and processes coherently, both orally and in writing, using correct notation.
- demonstrate familiarity with all essential IT systems to support personal study and communicate your ideas including a text processor and a spreadsheet package.
- 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
Scheduled Learning & Teaching Activities | 60 | Guided Independent Study | 90 | Placement / Study Abroad | 0 |
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Category | Hours of study time | Description |
Scheduled learning and teaching activities | 49 | Lectures, tutorials and IT workshops |
Scheduled learning and teaching activities | 11 | ELE-based online quizzes (counts towards the final grade) |
Guided independent study | 90 | Lecture and assessment preparation, private study |
Form of Assessment | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
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Weekly tutorial sheets | 2-3 hours each | 1-4 | Model answers/ informal feedback during tutorials |
Coursework | 40 | Written Exams | 60 | Practical Exams | 0 |
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Form of Assessment | % of Credit | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
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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 |
Original Form of Assessment | Form of Re-assessment | ILOs Re-assessed | Time Scale for Re-assessment |
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1 x Coursework 40% | E-Quiz | All | August ref/def period |
Exam 60% | Written Exam (2 hours) | All | August ref/def period |
1 x Coursework 40% and Exam 60%.
information that you are expected to consult. Further guidance will be provided by the Module Convener
Basic reading:
Web based and Electronic Resources:
Croft, A. & Davison, R. Foundation Maths Website
HELM
MathAid
Other Resources:
MathCentre: www.mathcentre.ac.uk
Reading list for this module:
Type | Author | Title | Edition | Publisher | Year | ISBN |
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Set | Rees, D.G | Foundation of Statistics | Chapman and Hall | 1987 | 9780412285608 | |
Set | Stroud, K.A | Engineering Mathematics | 7th | Palgrave Macmillan | 2013 | 978-1-137-03120-4 |
Set | Croft, A. & Davison, R. | Foundation Maths | 5th | Pearson | 2010 | 9780273729402 |
CREDIT VALUE | 15 | ECTS VALUE | 7.5 |
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PRE-REQUISITE MODULES | None |
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CO-REQUISITE MODULES | None |
NQF LEVEL (FHEQ) | 4 | AVAILABLE AS DISTANCE LEARNING | No |
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ORIGIN DATE | Thursday 6th July 2017 | LAST REVISION DATE | Tuesday 22nd October 2019 |
KEY WORDS SEARCH | Differentiation; integration; calculus; complex number; matrices; vectors |
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Please note that all modules are subject to change, please get in touch if you have any questions about this module.