Engineering Mathematics and Scientific Computing

Module title	Engineering Mathematics and Scientific Computing
Module code	INT1113
Academic year	2020/1
Credits	30
Module staff	Dawn Elizabeth Bird (Convenor)

Duration: Term	1	2	3
Duration: Weeks	10	10

Number students taking module (anticipated)	20

Description - summary of the module content

Module description

This module introduces modern engineering mathematics by teaching maths alongside programming. What you learn in this module will support mathematical content in core modules throughout your programme. You will be introduced to core mathematical tools for modelling engineering systems which will be developed further in Year 2. You will learn about statistical methods of analysis that are vital tools for experimental engineers.

An elementary introduction to programming in python will be provided which will equip you with valuable data processing and modelling skills. The teaching of python will mirror mathematical content, building on knowledge of specialist packages for matrices, differential equations and statistics.

Module aims - intentions of the module

This module aims to provide you with all of the mathematical tools to tackle modern engineering problems. It will allow you to develop strong quantitative skills, such that mathematical tools become second nature so you can focus directly on engineering challenges and concepts. An important aspect of this is to provide a solid foundation in programming.

Intended Learning Outcomes (ILOs)

ILO: Module-specific skills

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

1. Manipulate complex algebraic expressions (including Boolean algebra), functions and vectors
2. Demonstrate knowledge of analytical and numerical differentiation and integration
3. Solve ordinary differential equations
4. Demonstrate foundational knowledge of statistical and probabilistic techniques required for engineering
5. Manipulate matrices, and use them to solve systems of equations and simple eigenvalue problems

ILO: Discipline-specific skills

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

6. Demonstrate knowledge of the key principles of object orientated programme
7. Structure, write and test computer programmes to solve engineering mathematical task
8. Formulate engineering problems into mathematical statements
9. Understand the application of new mathematical methods in the context of real engineering problems

ILO: Personal and key skills

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

10. Demonstrate strong quantitative and problem solving skills
11. Demonstrate a strong foundation in scientific computing in python

Syllabus plan

Functions
Vectors
Differentiation
Integration
Ordinary Differential Equations
Matrices
Statistics and Probability for Engineers
Transformations - Fourier & Laplace

Learning and teaching

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

Scheduled Learning and Teaching Activities	Guided independent study	Placement / study abroad
220	80	0

Details of learning activities and teaching methods

Category	Hours of study time	Description
Scheduled learning and teaching activities (synchronous)	160	Lectures and tutorials
Scheduled learning and teaching activities (synchronous)	20	Computing laboratories
Scheduled Learning and Teaching Activities (asynchronous)	40	Online (ELE) activities
Tutorial preparation and guided independent study	80	Independent study

Assessment

Formative assessment

Form of assessment	Size of the assessment (eg length / duration)	ILOs assessed	Feedback method
Tutorial examples	In tutorials	1-11	Verbal feedback

Summative assessment (% of credit)

Coursework	Written exams	Practical exams
50	50	0

Details of summative assessment

Form of assessment	% of credit	Size of the assessment (eg length / duration)	ILOs assessed	Feedback method
Coursework (online)	30	20 hours 2 worksheets; 20 hours online tests	1-11	Written feedback on formal submission
Written Examination (online)	20	1 hour mid-module exam (online, open book)	1-5, 8-10	Written feedback on formal submission
Written Examination (online)	50	2 hour end of module exam (online, open book)	1-5, 8-10	Written feedback on formal submission

Re-assessment

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 Examination and Coursework (online)	Written exam (referral) (online)	1-11	Next assessment period
Written Examination (online)	Written exam (deferral) (online)	1-5, 8-10	Next assessment 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.

Resources

Indicative learning resources - Basic reading

Author	Title	Edition	Publisher	Year	ISBN
Stroud, K.A	Engineering Mathematics	8th	Macmillan International	2020	987-1-352-01027-5 paperback 987-1-352-01028-2 ebook
Stroud K.A. & Booth Dexter J.	Advanced Engineering Mathematics	6th	Macmillan International	2020	978-1-352-01025-1 paperback 978-1-352-01026-8 ebook
ELE	https://vle.exeter.ac.uk/course/view.php?id=8709

Module has an active ELE page

Key words search

Engineering Mathematics, Programming, Computing, Python

Credit value	30
Module ECTS	15
Module pre-requisites	None
Module co-requisites	None
NQF level (module)	4
Available as distance learning?	Yes
Origin date	19/11/2019
Last revision date	23/07/2020