Module manager: Professor Charles Read
Email: C.J.Read@leeds.ac.uk
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2013/14
A-Level Mathematics or equivalent.
| MATH1010 | Mathematics 1 |
| MATH1012 | Mathematics 2 |
| MATH1060 | Introductory Linear Algebra |
This module is not approved as an Elective
The module covers a variety of topics in linear algebra and discrete mathematics, with an emphasis on their application to financial problems.
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.
- 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.
| Delivery type | Number | Length hours | Student hours |
|---|---|---|---|
| Lecture | 33 | 1 | 33 |
| Tutorial | 5 | 1 | 5 |
| Private study hours | 112 | ||
| Total Contact hours | 38 | ||
| Total hours (100hr per 10 credits) | 150 | ||
Studying and revising of course material.
Completing of assignments and assessments.
Regular problem solving assignments
!!! In order to pass the module, students must pass the examination. !!!
| Assessment type | Notes | % of formal assessment |
|---|---|---|
| In-course Assessment | . | 15 |
| Total percentage (Assessment Coursework) | 15 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
| Exam type | Exam duration | % of formal assessment |
|---|---|---|
| Standard exam (closed essays, MCQs etc) | 2.0 Hrs 30 Mins | 85 |
| Total percentage (Assessment Exams) | 85 | |
Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated
The reading list is available from the Library website
Last updated: 2/13/2014
Errors, omissions, failed links etc should be notified to the Catalogue Team