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Study information

# Advanced Mathematics for Engineers - 2023 entry

MODULE TITLE CREDIT VALUE Advanced Mathematics for Engineers 15 ENG1205DA 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 Guided Independent Study Placement / Study Abroad 64 48 38
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 Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
Tutorial Worksheets   All Informal feedback provided in tutorials

SUMMATIVE ASSESSMENT (% of credit)
 Coursework Written Exams 60 40
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
Set Stroud, K.A Engineering Mathematics 7th Palgrave Macmillan 2013 978-1-137-03120-4
Set Stroud, K.A. & Booth, D.J. Advanced Engineering Mathematics 5th Palgrave Macmillan 2011 978-0-230-27548-5
CREDIT VALUE ECTS VALUE 15 7.5
PRE-REQUISITE MODULES ECM1200
NQF LEVEL (FHEQ) AVAILABLE AS DISTANCE LEARNING 4 No Monday 6th March 2017 Wednesday 4th October 2023
KEY WORDS SEARCH Integration; differential equations; partial differentiation; matrices; vector calculus

Please note that all modules are subject to change, please get in touch if you have any questions about this module.