# Engineering Mathematics and Scientific Computing

Module title Engineering Mathematics and Scientific Computing INT1113 2021/2 30 Dawn Elizabeth Bird (Convenor)
 Duration: Term Duration: Weeks 1 2 3 10 10
 Number students taking module (anticipated) 40

## Description - summary of the module content

### 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 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.

## 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
• 2. Demonstrate knowledge of analytical and numerical differentiation and integration
• 3. Solve ordinary differential equations
• 4. Demonstrate foundational knowledge of statistical and probabilistic techniques required for engineering
• 5. Manipulate matrices, and use them to solve systems of equations and simple eigenvalue problems

### 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
• 7. Structure, write and test computer programmes to solve engineering mathematical task
• 8. Formulate engineering problems into mathematical statements
• 9. Understand the application of new mathematical methods in the context of real engineering problems

### ILO: Personal and key skills

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

• 10. Demonstrate strong quantitative and problem solving skills
• 11. Demonstrate a strong foundation in scientific computing in python

## Syllabus plan

### Syllabus plan

• Algebra (Refresher Unit)
• Functions
• Vectors
• Differentiation
• Integration
• Ordinary Differential Equations
• Matrices
• Statistics and Probability for Engineers
• Transformations - Fourier & Laplace

## Learning and teaching

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

Scheduled Learning and Teaching ActivitiesGuided independent studyPlacement / study abroad
220800

### Details of learning activities and teaching methods

CategoryHours of study timeDescription
Scheduled learning and teaching activities (synchronous)160Lectures and tutorials
Scheduled learning and teaching activities (synchronous)20Computing laboratories
Scheduled Learning and Teaching Activities (asynchronous)40Online (ELE) activities
Tutorial preparation and guided independent study80Independent study

## Assessment

### 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
50500

### Details of summative assessment

Form of assessment% of creditSize of the assessment (eg length / duration)ILOs assessedFeedback method
Coursework (online)302 worksheets, 10 hours each1-11Written feedback on formal submission
Written Examination (online)202 hour mid-module exam (online, open book)1-5, 8-10Written feedback on formal submission
Written Examination (online)502 hour end of module exam (online, open book)1-5, 8-10Written feedback on formal submission

## Re-assessment

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

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

### Re-assessment notes

Deferral – if you miss an assessment for reasons judged legitimate by the Mitigation Committee, the applicable assessment will normally be deferred. See ‘Details of reassessment’ for the form that assessment usually takes. When deferral occurs there is ordinarily no change to the overall weighting of that assessment.

Referral – if you have failed the module overall (i.e. a final overall module mark of less than 40%) you will be required to take a re-sit exam. Only your performance in this exam will count towards your final module grade. A grade of 40% will be awarded if the examination is passed.

## Resources

### 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 ELE https://vle.exeter.ac.uk/course/view.php?id=8709

Module has an active ELE page

### Key words search

Engineering Mathematics, Programming, Computing, Python

Credit value 30 15 None None 4 No 19/11/2019 15/07/2021