Study information

# Engineering Mathematics and Scientific Computing

Module title Engineering Mathematics and Scientific Computing INT1113 2023/4 30 Dawn Elizabeth Bird (Convenor)
 Duration: Term Duration: Weeks 1 2 3 10 10
 Number students taking module (anticipated) 40

## Module description

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 data-centric engineering in the era of big data.

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.

## Module 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)

### ILO: Module-specific skills

On successfully completing the module you will be able to...

• 1. manipulate complex algebraic expressions (including Boolean algebra), functions and vectors [E1,C1]
• 2. demonstrate knowledge of analytical and numerical differentiation and integration [E1,C1]
• 3. solve ordinary differential equations [E1,C1]
• 4. demonstrate foundational knowledge of statistical and probabilistic techniques required for engineering [E1,C1]
• 5. manipulate matrices, and use them to solve systems of equations and simple eigenvalue problems [C1

### ILO: Discipline-specific skills

On successfully completing the module you will be able to...

• 6. demonstrate knowledge of the key principles of object orientated programme [C1
• 7. structure, write and test computer programmes to solve engineering mathematical task [C1]
• 8. formulate engineering problems into mathematical statements [C1]
• 9. understand the application of new mathematical methods in the context of real engineering problems [C1]

### ILO: Personal and key skills

On successfully completing the module you will be able to...

• 10. demonstrate strong quantitative and problem solving skills [E1,C1]
• 11. demonstrate a strong foundation in scientific computing in python [C1]

## Syllabus plan

• Algebra (Refresher Unit)

• Functions

• Vectors

• Differentiation

• Integration

• Ordinary Differential Equations

• Matrices

• Statistics and Probability for Engineers

• Transformations - Fourier & Laplace

## Learning activities and teaching methods (given in hours of study time)

Scheduled Learning and Teaching ActivitiesGuided independent studyPlacement / study abroad
22080

## Details of learning activities and teaching methods

CategoryHours of study timeDescription
Scheduled learning and teaching activities (synchronous) 120Lectures and tutorials
Scheduled learning and teaching activities (synchronous) 40Computing laboratories
Scheduled Learning and Teaching Activities (asynchronous) 40Online (ELE) activities
Tutorial preparation and guided independent study 100Independent study

## Formative assessment

Form of assessmentSize of the assessment (eg length / duration)ILOs assessedFeedback method
Online ELE Quizzes2 hours per week1-11Online feedback

## Summative assessment (% of credit)

CourseworkWritten examsPractical exams
30700

## Details of summative assessment

Form of assessment% of creditSize of the assessment (eg length / duration)ILOs assessedFeedback method
Coursework302 worksheets, 10 hours each1-11Written feedback on formal submission
Written Examination201 hour mid-module exam1-5, 8-10Written feedback on formal submission
Written Examination502 hour end of module exam 1-5, 8-10Written feedback on formal submission
0
0
0

## Details of re-assessment (where required by referral or deferral)

Original form of assessmentForm of re-assessmentILOs re-assessedTimescale for re-assessment
Written exam and coursework Written exam (referral) 1-11Next assessment period
Written exam Written exam (deferral)1-5, 8-10Next assessment period

## Re-assessment notes

The pass mark for award of credit in this module is 40%. Referral is the process whereby a further attempt at the module examination, following an initial failure, is permitted without the requirement to repeat any attendance. Referral will constitute one formal examination – coursework and component exams will not be included in the re-assessment.

Resubmission of coursework is impractical since coursework answers and feedback are given to students after marking.

The grade for the referred examination, and therefore the module grade, will be capped at 40%.

The grade for a deferral will combine grades awarded for coursework and deferred examinations.

## Indicative learning resources - Basic reading

 Author Title Edition Publisher Year ISBN Stroud, K.A Engineering Mathematics 8th Macmillan International 2020 987-1-352-01027-5 paperback 987-1-352-01028-2 ebook Stroud K.A. & Booth Dexter J. Advanced Engineering Mathematics 6th Macmillan International 2020 978-1-352-01025-1 paperback 978-1-352-01026-8 ebook

### Key words search

Engineering Mathematics, Programming, Computing, Python

Credit value 30 15 None None 4 Yes 19/11/2019 20/06/2023