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Module Specifications

Current Academic Year 2010 - 2011
This information is provisional and subject to change.

Module Title Linear Algebra II
Module Code MS104
School Maths
Online Module Resources

Module Co-ordinatorDr Tom BradyOffice NumberX144
Level 1 Credit Rating 7.5
Pre-requisite None
Co-requisite None
Module Aims
  • To consolidate material in Linear Algebra I
  • To familiarise student with eigen problems and their applications
  • To encourage use of computer packages (e.g. Mathematica0 in the solution of applied problems.


Learning Outcomes
  • Students should be familiar with the notions of eigenvector, orthogonal projection, change of basis and canonical forms for matrices.
  • Students should be familiar with computational procedures need to solve numerical problems.


Indicative Time Allowances
Hours
Lectures 36
Tutorials 12
Laboratories 0
Seminars 0
Independent Learning Time 64.5
Total 112.5
Placements
Assignments
NOTE
Assume that a 7.5 credit module load represents approximately 112.5 hours' work, which includes all teaching, in-course assignments, laboratory work or other specialised training and an estimated private learning time associated with the module.

Indicative Syllabus

· Eigenvalues & Eigenvectors: Diagonalisation, applications.

· Orthogonality: Projection, orthgonal matrices

· Change of Basis: Co-ordination and change of Basis. Matrix representations andsimilarity.

· Eigenvalues: Further applications and Computations: Diagonalization of Quadraticforms. Applications to Geometry.

· Complex Scalars: Algebra of complex numbers. Jordon Canonical Form

· Computational Approach to Linear Algebra: Mathematica.

Assessment
Continuous Assessment25% Examination Weight75%
Indicative Reading List
A text is not required. However, the following may be helpful and is close in spiritto the material.Fraleigh, Beauregard; Linear Algebra, 3 rd Edition, Addison Wesley.
Programme or List of Programmes
PFCMSPilot Foundation Course (Maths)
Timetable this semester: Timetable for MS104
Date of Last Revision18-JUN-08
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