2011/12 Undergraduate Module Catalogue
MATH1331 Linear Algebra with Applications
15 creditsClass Size: 90
Module manager: Professor C Read
Email: read@maths.leeds.ac.uk
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2011/12
Pre-requisite qualifications
A-Level Mathematics or equivalent.This module is mutually exclusive with
| MATH1010 | Mathematics 1 |
| MATH1012 | Mathematics 2 |
| MATH1015 | Linear Algebra 1 |
| MATH1060 | Introductory Linear Algebra |
This module is not approved as an Elective
Module summary
The module covers a variety of topics in linear algebra and discrete mathematics, with an emphasis on their application to financial problems.Objectives
On completion of this module students should be able to:(a) use Gaussian elimination to solve systems of linear equations;
(b) work with the basic concepts of linear algebra: linear independence, bases, dimension, linear independence;
(c) compute the product of matrices;
(d) compute the inverse of a specified invertible matrix; calculate the determinant of a square matrix, with numerical and algebraic entries;
(e) compute the eigenvalues and eigen vectors of a specified matrix; determine whether a specified matrix can be diagonalized;
(f) model and solve problems in linear programming;
(g) use stochastic matrices to determine the limiting behaviour of simple Markov processes.
Syllabus
- Linear equations: manipulation of inequalities, matrices, Gaussian elimination, linear independence, bases, dimension, linear transformations, matrix algebra, inverse matrices, determinants, eigenvalues and eigenvectors, diagonalisation.
- Linear programming: feasible sets, slack resources, the simplex method, marginal analysis.
- Theory of games: games and strategies, mixed strategies, determining optimal mixed strategies.
- Markov processes: transition matrices, stochastic matrices, regular and absorbing stochastic matrices, convergence to stable states.
Teaching methods
| Delivery type | Number | Length hours | Student hours |
| Lecture | 33 | 1.00 | 33.00 |
| Tutorial | 5 | 1.00 | 5.00 |
| Private study hours | 112.00 | ||
| Total Contact hours | 38.00 | ||
| Total hours (100hr per 10 credits) | 150.00 | ||
Opportunities for Formative Feedback
Regular problem solving assignmentsMethods of assessment
Coursework
| Assessment type | Notes | % of formal assessment |
| In-course Assessment | . | 15.00 |
| Total percentage (Assessment Coursework) | 15.00 | |
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 30 mins | 85.00 |
| Total percentage (Assessment Exams) | 85.00 | |
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: 27/02/2012
Browse Other Catalogues
- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue
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