2024/25 Undergraduate Module Catalogue
CAPE2000 Mathematical Techniques 2
20 creditsClass Size: 255
Module manager: Dr M Dowker
Email: m.d.dowker@leeds.ac.uk
Taught: Semesters 1 & 2 (Sep to Jun) View Timetable
Year running 2024/25
Pre-requisite qualifications
A-level mathematics or attendance at CAPE1050 Foundation MathematicsPre-requisites
| CAPE1040 | Mathematical Techniques 1 |
This module is not approved as a discovery module
Objectives
The aim of the module is to provide sufficient mathematical background knowledge to support the understanding of the various Engineering disciplines taught across Chemical and Process Engineering.Learning outcomes
At the end of the module students should:
- Have a knowledge of advanced mathematical techniques to enable study in numerate engineering subjects such as heat transfer, fluid dynamics and thermodynamics.
- Have basic skills in statistics and numerical methods.
- Further develop problem solving skills.
Syllabus
- Power series and applications
- Fourier series
- Review of vectors, matrices and determinates
- Concepts of vector calculus
- Applications of vector calculus to fluid dynamics and heat transfer
Statistics - Revision of basic concepts; Discrete distributions: the binomial distribution and Poisson distribution. Continuous distributions: the normal distribution (and the relationship with the binomial distribution); Sampling: properties of the estimated values; sampling distribution of mean and variance; confidence intervals. Significance tests. Goodness of fit.
Numerical Methods - Numerical integration and Error Estimates; Applications using Matlab; Numerical solution of initial value problems; Approximate solution of algebraic equations.
Teaching methods
| Delivery type | Number | Length hours | Student hours |
| Example Class | 20 | 1.00 | 20.00 |
| Lecture | 40 | 1.00 | 40.00 |
| Private study hours | 140.00 | ||
| Total Contact hours | 60.00 | ||
| Total hours (100hr per 10 credits) | 200.00 | ||
Private study
Working through weekly problem sheetsReviewing lectures
Opportunities for Formative Feedback
One formative assessment and weekly problem classes that will provide feedback on progress in preparation for the exams.Methods of assessment
Coursework
| Assessment type | Notes | % of formal assessment |
| Assignment | Assignment | 25.00 |
| Total percentage (Assessment Coursework) | 25.00 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Exams
| Exam type | Exam duration | % of formal assessment |
| Standard exam (closed essays, MCQs etc) | 2 hr | 50.00 |
| Standard exam (closed essays, MCQs etc) | 1 hr | 25.00 |
| Total percentage (Assessment Exams) | 75.00 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
Reading list
The reading list is available from the Library websiteLast updated: 27/09/2024
Browse Other Catalogues
- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue
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