Engineering

Note: If you wish to add a link on another site which will always find the *current* module descriptor please use the following format: http://intranet.exeter.ac.uk/emps/modules/[modulecode] replacing [modulecode] with the appropriate code.

e.g: http://intranet.exeter.ac.uk/emps/modules/ECM1101

ECM1205 - Advanced Mathematics for Engineers (2019)

Back | Download as PDF
MODULE TITLEAdvanced Mathematics for Engineers CREDIT VALUE15
MODULE CODEECM1205 MODULE CONVENERDr Tim Dodwell (Coordinator)
DURATION: TERM 1 2 3
DURATION: WEEKS 2 0 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)

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

Module Specific Skills and Knowledge

1  solve problems using integral calulus

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 analyse 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
  • introduction to Matlab (relating to the above)
LEARNING AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
Scheduled Learning & Teaching Activities 32.00 Guided Independent Study 118.00 Placement / Study Abroad 0.00
DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS
Category Hours of study time Description
Scheduled learning and teaching activities 2/18 Lectures (Tutorials)
Scheduled learning and teaching activities 12 Tutorials
Guided independent study 118 Lecture and assessment preparation, private study

 

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 40 Written Exams 60 Practical Exams
DETAILS OF SUMMATIVE ASSESSMENT
Form of Assessment % of Credit Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
Written exam – closed book 60 2 hours All Annotated Scripts
Coursework 1, 2 and 3 - Open Book take home questions 30 2 x 6 hours All Oral Feedback in class + solutions
Coursework - Python Code Academy 10 1 x 12 hours All Written feedback

 

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
All above Written Exam (100%) All August Ref/Def Period
       
       

 

RE-ASSESSMENT NOTES

If a module is normally assessed entirely by coursework, all referred/deferred assessments will normally be by assignment.

If a module is normally assessed by examination or examination plus coursework, referred and deferred assessment will normally be by examination. For referrals, only the examination will count, a mark of 40% being awarded if the examination is passed. For deferrals, candidates will be awarded the higher of the deferred examination mark or the deferred examination mark combined with the original coursework mark.

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 Macmillan 2013 978-1-137-03120-4 [Library]
Set Stroud K.A. & Booth Dexter 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 Tuesday 22 January 2019
KEY WORDS SEARCH Integration; differential equations; partial differentiation; matrices; vector calculus