Engineering

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ECM1201 - Mathematics for Engineers (2019)

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MODULE TITLEMathematics for Engineers CREDIT VALUE15
MODULE CODEECM1201 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 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 industrial engineering problems. Furthermore, you will learn to use mathematical software package such (Matlab), which will improve your ability to apply quantitative methods using high performance modern computers.


 

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 industrial engineering problems. You will develop a 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 improve your understanding of engineering principles and the ability to apply them to analyse key engineering processes. It will also 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 increase 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 demonstrate skills in algebraic manipulation

2 recognise trigonometric, exponential, logarithmic and hyperbolic functions, and solve equations involving these functions

3 use differentiation to solve maximum and minimum problems

4 demonstrate an understanding of the concepts of complex numbers

5 use vector algebra to analyse problems involving lines and planes, apply the scalar (dot) product and vector (cross) product to vectors

6 demonstrate an understanding of the basic concepts of probability

Discipline Specific Skills and Knowledge

7 use mathematical software, (Matlab) to solve a mathematical problem.

Personal and Key Transferable / Employment Skills and Knowledge

8 apply mathematical principles to systematically analyse problems

9 extract the essential mathematics from real-world problems and to begin to be able to model such problems in familiar mathematical language

10 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
  • algebra and functions
  • vector algebra
  • differential calculus and applications
  • complex numbers
  • statistics and regression
  • introduction to programming in Matlab (in all the above areas)
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 Lectures
Scheduled learning and teaching activities 18 Tutorials
Scheduled learning and teaching activities 12 Matlab exercises
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   1-6, 8-10 Informal feedback provided in tutorials
       
       
       
       

 

SUMMATIVE ASSESSMENT (% of credit)
Coursework 40 Written Exams 60 Practical Exams 0
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 1-6,8-10 Annotated Scripts
Coursework 1 - Take Home Questions 10 1 x 6 hours 1-6,8-10 Annotated Scripts + Oral
Coursework 2 - Python Code Academy 10 1 x 6 hours 1-6,8-10 Annotated Scripts + Oral
Coursework 3 - Take Home Coursework 20 1 x 12 hours 7-10 Oral + written
         

 

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%) 1-3,5-7 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]
CREDIT VALUE 15 ECTS VALUE 7.5
PRE-REQUISITE MODULES None
CO-REQUISITE MODULES None
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 Differentiation; trigonometry; Matlab; vectors; complex numbers; probability