ENG1002 | 2022 | University of Exeter

MODULE TITLE	Engineering Mathematics and Scientific Computing	CREDIT VALUE	30
MODULE CODE	ENG1002	MODULE CONVENER	Prof Guangtao Fu (Coordinator)

DURATION: TERM	1	2	3
DURATION: WEEKS	12	12

Number of Students Taking Module (anticipated)	200

DESCRIPTION - summary of the module content

This module introduces modern engineering mathematics by teaching maths alongside programming.

What you learn in this module will support mathematical content in core modules throughout your programme. You will be introduced to core mathematical tools for modelling engineering systems which will be developed further in Year 2. You will learn about statistical methods of analysis that are vital tools for experimental engineers.

An elementary introduction to programming in python will be provided which will equip you with valuable data processing and modelling skills. The teaching of python will mirror mathematical content, building on knowledge of specialist packages for matrices, differential equations and statistics.

AIMS - intentions of the module

This module aims to provide you with all of the mathematical tools to tackle modern engineering problems. It will allow you to develop strong quantitative skills, such that mathematical tools become second nature so you can focus directly on engineering challenges and concepts. An important aspect of this is to provide a solid foundation in programming.

INTENDED LEARNING OUTCOMES (ILOs) (see assessment section below for how ILOs will be assessed)

	Intended Learning Outcome	Assessment
ILO #1	manipulate complex algebraic expressions (including boolean algebra), functions and vectors	E1, C1
ILO #2	demonstrate knowledge of analytical and numerical differentiation and integration	E1, C1
ILO #3	solve ordinary differential equations	E1, C1
ILO #4	demonstrate foundational knowledge of statistical and probabilistic techniques required for engineering	E1, C1
ILO #5	manipulate matrices, and use them to solve systems of equations and simple eigenvalue problems	C1
ILO #6	demonstrate knowledge of the key principles of object orientated programme	C1
ILO #7	structure, write and test computer programmes to solve engineering mathematical task	C1
ILO #8	formulate engineering problems into mathematical statements	C1
ILO #9	understand the application of new mathematical methods in the context of real engineering problems	C1
ILO #10	demonstrate strong quantitative and problem solving skills	E1, C1
ILO #11	demonstrate a strong foundation in scientific computing in python	C1

SYLLABUS PLAN - summary of the structure and academic content of the module

0: Refresher Unit on Algebra

1: Functions;

2: Vectors;

3: Differentiation;

4: Integration;

5: Ordinary Differential Equations;

6: Matrices;

7: Statistics and Probability for Engineers;

8: Transformations - Fourier & Laplace.

LEARNING AND TEACHING

LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)

Scheduled Learning & Teaching Activities	120	Guided Independent Study	180	Placement / Study Abroad	0

DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS

Category	Hours of study time	Description
Lecture	48	2 times 1 hours per week
Laboratory	24	1 hour per week, computational practical
Tutorials	24	1 hour per week
Other	24	Weekly drop in sessions
Independent study	180	Guided independent 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
Online quiz for each topic	10 x Quizzes	-	Verbal

SUMMATIVE ASSESSMENT (% of credit)

Coursework	30	Written Exams	70	Practical Exams	0

DETAILS OF SUMMATIVE ASSESSMENT

Form of Assessment	% of Credit	Size of Assessment (e.g. duration/length)	ILOs Assessed	Feedback Method
Coursework	30	2 Worksheets, 6-10 hours work each, online tests	All	Written or Verbal on request
Exam	70	2 exams, one after each term, January exam 1 hour; May/August exam 2 hours	All	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	Exam (100% - 2 hours)	All	August Ref/Def Period

RE-ASSESSMENT NOTES

Reassessment will be by a single written exam only worth 100% of the module. For deferred candidates, the mark will be uncapped. For referred candidates, the mark will be capped at 40%.

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:

Web based and Electronic Resources:

Other Resources:

Reading list for this module:

Type	Author	Title	Edition	Publisher	Year	ISBN
Set	James, G	Modern Engineering Mathematics	5th	Pearson Education Limited.	2015
Set	Stroud, K.A	Engineering Mathematics	7th	Palgrave Macmillan	2013	978-1-137-03120-4

CREDIT VALUE	30	ECTS VALUE	15

PRE-REQUISITE MODULES	None
CO-REQUISITE MODULES	None

NQF LEVEL (FHEQ)	4	AVAILABLE AS DISTANCE LEARNING	No
ORIGIN DATE	Tuesday 14th May 2019	LAST REVISION DATE	Friday 22nd July 2022

KEY WORDS SEARCH	Engineering mathematics, computer programming, probability, statistics, Python

Engineering Mathematics and Scientific Computing - 2022 entry