Engineering Mathematics

Module title	Engineering Mathematics
Module code	INT1106
Academic year	2019/0
Credits	30
Module staff	Andrew Mackenzie Robertson (Convenor)

Duration: Term	1	2	3
Duration: Weeks	12	12

Number students taking module (anticipated)	30

Module description

Today, mathematics as a mode of thought and expression is more valuable than ever before. Learning to think and express yourself in mathematical terms is an essential part of your becoming an engineer who is able to describe engineering processes and systems and solve problems.
Your mathematical skills will be extended to the level necessary to complete a BEng or MEng engineering degree programme. This module takes you deeper than you are likely to have gone before in mathematics and it covers what you will need throughout your professional career, focussing on the direct application of mathematics to engineering problems.

Module aims - intentions of the module

The purpose of this module is to extend students' mathematical skills to the level necessary to complete a BEng or MEng degree programme. It covers topics which are fundamental to engineers in their professional careers and places emphasis on the application of mathematics to engineering problems.

Intended Learning Outcomes (ILOs)

ILO: Module-specific skills

On successfully completing the module you will be able to...

1. Work with functions in 1, 2 and 3 variables, applying the appropriate techniques to the solution of problems.
2. Solve first and second order ordinary differential equations.
3. Demonstrate an understanding of the concepts of complex number and analytic functions, change the form of complex numbers, and carry out arithmetic operations with complex numbers
4. Use vector algebra to analyse problems involving lines and planes, apply the scalar and vector products to vectors
5. Perform basic arithmetic operations on matrices.

ILO: Discipline-specific skills

On successfully completing the module you will be able to...

6. Apply mathematical principles to systematically analyse problems
7. Extract the essential mathematics from real-world problems given in written and verbal language and to begin to be able to model such problems in familiar mathematical language
8. Communicate mathematical concepts and processes coherently, both orally and in writing, using correct notation
9. Use mathematical software (including MATLAB) to solve mathematical problems

ILO: Personal and key skills

On successfully completing the module you will be able to...

10. Carry out directed private study using textbooks and other provided resources

Syllabus plan

Algebra and functions
Differential calculus and its application to simple problems in mechanics and evolution problems
Vector algebra to analyse problems involving lines and planes and applying the scalar and vector products to vectors
Complex numbers
Integration
First and second order differential equations
Matrices
Partial differentiation
Further integral calculus
Vector Calculus

Learning activities and teaching methods (given in hours of study time)

Scheduled Learning and Teaching Activities	Guided independent study	Placement / study abroad
144	156	0

Details of learning activities and teaching methods

Category	Hours of study time	Description
Scheduled Learning and Teaching activities	72	Lectures. These introduce concepts, provide a broad background, introduce methods and give general guidance.
Scheduled learning and Teaching activities	72	Tutorials. These sessions will explore particular topics in greater depth and provide students with an opportunity to consolidate their knowledge by solving questions. Included are tutorials on using MATLAB.
Directed private study	156	Preparation for lectures. CMA/TMA/Tutorial problem solving. Reading and research.

Formative assessment

Form of assessment	Size of the assessment (eg length / duration)	ILOs assessed	Feedback method
Tutorial examples	In tutorials	1-8, 10	Verbal feedback on review

Summative assessment (% of credit)

Coursework	Written exams	Practical exams
25	75	0

Details of summative assessment

Form of assessment	% of credit	Size of the assessment (eg length / duration)	ILOs assessed	Feedback method
Written assignments. On-line assessments. MATLAB assignment.	25	Coursework assessments	1-9	Written feedback on formal submission
Written examination	75	1.5 hour closed book exam end of semester 1 (25%) 2 hour closed book exam end of semester 2 (50%)	1-8	Written feedback on formal submission

Details of re-assessment (where required by referral or deferral)

Original form of assessment	Form of re-assessment	ILOs re-assessed	Timescale for re-assessment
Written exam	Written exam (referral)	1-8	Usually taken in next exam period
Written exam	Written exam (deferral)	1-8	Usually taken in next exam period

Re-assessment notes

Deferral – if you miss an assessment for reasons judged legitimate by the Mitigation Committee, the applicable assessment will normally be deferred. See ‘Details of reassessment’ for the form that assessment usually takes. When deferral occurs there is ordinarily no change to the overall weighting of that assessment.

Referral – if you have failed the module overall (i.e. a final overall module mark of less than 40%) you will be required to take a re-sit exam. Only your performance in this exam will count towards your final module grade. A grade of 40% will be awarded if the examination is passed.

Indicative learning resources - Basic reading

Stroud, K. (2013) Engineering Mathematics, 7th edition, Basingstoke: Palgrave Macmillan, ISBN: 978-1-137-0312-4

Stroud, K. (2003) Advanced Engineering Mathematics, 5th edition, Basingstoke: Palgrave Macmillan, ISBN: 978-0-230-27548-5

Indicative learning resources - Web based and electronic resources

ELE – http://vle.exeter.ac.uk/

Key words search

Engineering mathematics, Mathematics

Credit value	30
Module ECTS	15
NQF level (module)	4
Available as distance learning?	No
Origin date	17/11/2011
Last revision date	15/07/2018