Module manager: Dr D J Borman
Email: d.j.borman@leeds.ac.uk
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2013/14
This module is not approved as an Elective
To enable students to:
- understand the principles of general basis mathematical techniques of relevance to Civil Engineers;
- appreciate the physical situations where these mathematical techniques are useful;
- develop confidence in their mathematical abilities so that when this mathematics arises in the solution of an engineering problem they are able to understand (rather than merely accept) the results;
- develop sufficient mathematical competence to cope with the compulsory content of a Civil Engineering degree.
- Numbers, functions and essential results from calculus: Functions; Differentiation: definition, first derivatives, second derivatives, techniques, maxima and minima; Curvature and radius of curvature; Methods of integration: definitions, basic functions, parts, substitutions, partial fractions; Numerical integration: the trapezium rule, Simpson's rule; Volumes and centroids.
- Linear Equations: Solution of systems of linear equations by echelon method; linear equations arising from spring systems. Matrix Algebra: Operations with matrices; basic definitions; addition, scalar multiplication and matrix multiplication; Determinants; definition; rules for determinants; determinant calculation by application of the rules for determinants; Inverse of a matrix; definition; calculation by elementary operations; Linear equations (as matrices); applications of the inverse matrix; Eigenvalues and eigenvectors; calculation of eigenvalues and eigenvectors; illustration of an engineering application.
| Delivery type | Number | Length hours | Student hours |
|---|---|---|---|
| Consultation | 5 | 1 | 5 |
| Lecture | 22 | 1 | 22 |
| Practical | 10 | 1 | 10 |
| Private study hours | 63 | ||
| Total Contact hours | 37 | ||
| Total hours (100hr per 10 credits) | 100 | ||
The problems sheets will be used to monitor the progress of the student through out the course of the module.
| Assessment type | Notes | % of formal assessment |
|---|---|---|
| Problem Sheet | problem sheet 1 | 5 |
| Problem Sheet | problem sheet 2 | 5 |
| Problem Sheet | problem sheet 3 | 5 |
| Total percentage (Assessment Coursework) | 15 | |
Resit 100% exam only
| Exam type | Exam duration | % of formal assessment |
|---|---|---|
| Standard exam (closed essays, MCQs etc) | 2.0 Hrs 0 Mins | 85 |
| Total percentage (Assessment Exams) | 85 | |
External Resit 100% University exam only
The reading list is available from the Library website
Last updated: 17/10/2013
Errors, omissions, failed links etc should be notified to the Catalogue Team