# Engineering

## ECM1205 - Advanced Mathematics for Engineers (2019)

MODULE TITLE CREDIT VALUE Advanced Mathematics for Engineers 15 ECM1205 Dr Ki Young Koo (Coordinator)
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)

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

Module Specific Skills and Knowledge: SM1p, SM2p, EA2p, EA3p, EA4p

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: SM1p, SM2p, EA2p, EA3p, EA4p

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: G1p, G3p

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
• 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 32 118 0
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 Written Exams 40 60
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
Take Home Question #1 10 8 hours All Oral Feedback in class + solutions
Take Home Question #2 15 8 hours All Oral Feedback in class + solutions
Take Home Question #3 15 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
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

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

Web based and Electronic Resources:

Other Resources: