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MODULE TITLE	Advanced Mathematics for Engineers	CREDIT VALUE	15
MODULE CODE	ENG1205DA	MODULE CONVENER	Unknown

DURATION: TERM	1	2	3
DURATION: WEEKS	4	4	0

Number of Students Taking Module (anticipated)	25

DESCRIPTION - summary of the module content

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 to solve problems. This module will help you enhance your learning from ECM1201 Foundation Mathematics for Engineers and further develop the mathematical skills necessary to complete your engineering degree programme.

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

AIMS - intentions of the module

This module will cover topics which are fundamental to engineers in their professional careers, focussing on the direct application of mathematics to engineering problems. You will continue to develop your knowledge and understanding of mathematical principles necessary to underpin your education in a number of engineering disciplines, and to enable you to apply mathematical methods, tools and notations proficiently in the analysis and solution of engineering problems.

Furthermore, this module will deepen your understanding of engineering principles and improve your ability to apply them to analyse more complex engineering processes. It will enhance your ability to identify, classify and describe the performance of systems and components through the use of analytical methods and modelling techniques. Finally, it will further develop your understanding and ability to apply a systems approach to engineering problems.

INTENDED LEARNING OUTCOMES (ILOs) (see assessment section below for how ILOs will be assessed)

Discipline and Module Intended Learning Outcomes:

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

Module Specific Skills and Knowledge:

1 solve problems using integral calculus

2 perform arithmetic operations on matrices, including finding eigenvalues and eigenvectors

3 solve first and second order ordinary differential equations and apply them to simple problems in mechanics, electrical circuit theory and evolution problems (e.g. radioactive half-life)

Discipline Specific Skills and Knowledge:

4 apply techniques of partial differentiation to solve simple problems

5 understand the key concepts of solving mathematical problems using numerical methods on a computer. For example numerical root finders, optimisation or runga- kutta methods

Personal and Key Transferable / Employment Skills and Knowledge:

6 apply mathematical principles to systematically analysis problems

7 extract the essential mathematics from real-world problems 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

SYLLABUS PLAN - summary of the structure and academic content of the module

Integration;
matrices;
first and second order ordinary differential equations;
numerical methods
Python (relating to the above)

LEARNING AND TEACHING

LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)

Scheduled Learning & Teaching Activities	64.00	Guided Independent Study	48.00	Placement / Study Abroad	38.00

DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS

Category	Hours of study time	Description
Scheduled learning and teaching activities	24	Lectures
Scheduled learning and teaching activities	24	Tutorials
Scheduled learning and teaching activities	16	Laboratory (Coding Python)
Guided independent study	48	Lecture and assessment preparation, private study
Placement	38	Learning at work

ASSESSMENT

FORMATIVE ASSESSMENT - for feedback and development purposes; does not count towards module grade

Form of Assessment	ILOs Assessed	Feedback Method
Tutorial Worksheets	All	Informal feedback provided in tutorials

SUMMATIVE ASSESSMENT (% of credit)

Coursework	60	Written Exams	40	Practical Exams

DETAILS OF SUMMATIVE ASSESSMENT

Form of Assessment	% of Credit	Size of Assessment (e.g. duration/length)	ILOs Assessed	Feedback Method
Examination	40	2 hours	All	Annotated Scripts
Take Home Question 1	20	8 hours	All	Oral Feedback in class + solutions
Take Home Question 2	20	8 hours	All	Oral Feedback in class + solutions
Take Home Question 3	20	8 hours	All	Oral Feedback in class + solutions

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
Examination	Examination	All	Referral/deferral period
Take Home Question 1	Take Home Question 1 (20%)	All	Referral/deferral period
Take Home Question 2	Take Home Question 2 (20%)	All	Referral/deferral period
Take Home Question 3	Take Home Question 3 (20%)	All	Referral/deferral period

RE-ASSESSMENT NOTES

Deferral – if you have been deferred for any assessment you will be expected to submit the relevant assessment. The mark given for a re-assessment taken as a result of deferral will not be capped and will be treated as it would be if it were your first attempt at the assessment.

Referral – if you have failed the module overall (i.e. a final overall module mark of less than 40%) you will be expected to submit the relevant assessment.. The mark given for a re-assessment taken as a result of referral will be capped at 40%.

If the Deferral or Referral relates to

Examination – A similar Examination which assesses the same Intended Learning outcomes would be set

Coursework 1 : A similar coursework which assesses the same Intended Learning Outcomes would be set.

Coursework 2: A similar coursework which assesses the same Intended Learning Outcomes would be set.

Coursework 3: A similar coursework which assesses the same Intended Learning Outcomes would be set.

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

Basic reading:

ELE: http://vle.exeter.ac.uk/

Web based and Electronic Resources:

Other Resources:

Reading list for this module:

Type	Author	Title	Edition	Publisher	Year	ISBN	Search
Set	Stroud, K.A	Engineering Mathematics	7th	Palgrave Macmillan	2013	978-1-137-03120-4	[Library]
Set	Stroud, K.A. & Booth, D.J.	Advanced Engineering Mathematics	5th	Palgrave Macmillan	2011	978-0-230-27548-5	[Library]

CREDIT VALUE	15	ECTS VALUE	7.5

PRE-REQUISITE MODULES	ECM1200
CO-REQUISITE MODULES

NQF LEVEL (FHEQ)	4	AVAILABLE AS DISTANCE LEARNING	No
ORIGIN DATE	Monday 06 March 2017	LAST REVISION DATE	Wednesday 04 October 2023

KEY WORDS SEARCH	Integration; differential equations; partial differentiation; matrices; vector calculus

ENG1205DA - Advanced Mathematics for Engineers (2023)