# Engineering

## ECM1201 - Mathematics for Engineers (2019)

MODULE TITLE CREDIT VALUE Mathematics for Engineers 15 ECM1201 Dr Evangelos Papatheou (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 programming (Python) as a means to model mathematical problems and implement computational solutions.

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: SM1p, SM2p

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: EA3p

7 use computer programming (Python) to solve a mathematical problem.

Personal and Key Transferable / Employment Skills and Knowledge: EA2p, EA3p, EA4p, G1p, G3p

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 Python (in all the above areas)
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 Lectures Scheduled learning and teaching activities 18 Tutorials Scheduled learning and teaching activities 12 Coding 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 Written Exams Practical Exams 40 60 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

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

Web based and Electronic Resources:

Other Resources: