Module Content

The module covers
  • Solutions of systems of linear equations and their geometric interpretation,
  • Matrix algebra and determinants,
  • Eigenvalues and Eigenvectors,
  • and explains how these topics can be applied to
  • Macro economic models of a closed economy,
  • The Leonief input-output model,
  • Markov processes.

Module Coordinates

  • Lecturer: Ronan Egan
  • Lectures: Wednesday 1.00 in The Anderson Theatre and Friday 11.00 in AM150
  • Tutorials: Wednesday 10.00 in ADB-1020 (Aras de Brun) and Thursday 11.00 in IT204
  • Recomended text: Linear Algebra and its Applications by David C. Lay
  • Problem sheet: available here.
  • Module Website: Information and module documents will be posted to this site, which is linked from the Blackboard MA203 pages. Blackboard will also be used for announcements and for posting grades.

Module Assessment

  • End of semester examination: 60%.
  • Continuous assessment: 30%.
  • Communications skills: 10%.

Supplementary Material and News

A model paper is available here.

Lecture Notes

Lecture Notes
(click on number)

Lecture Summaries
1
Introduction. Course details and a geometric background.
2
The dot product
3
Properties of the dot product, hyperplanes and calculating equations of planes, angles, and distance.
4
Solving a system of linear equations, and row operations on matrices.
5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24