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MATH203-12S2 (C) Semester Two 2012
Linear Algebra

15 points, 0.1250 EFTS
09 Jul 2012 - 11 Nov 2012
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Description

Linear algebra is a key part of the mathematical toolkit needed in the modern study of many areas in science, commerce and engineering. This course develops the fundamental concepts of linear algebra, including orthogonality, projections and eigenvalues, with an emphasis on practical applications and use of the computer package MATLAB.

Linear algebra is a key part of the mathematical toolkit needed in the modern study of many areas in science, commerce and engineering. This course develops the fundamental concepts of linear algebra, including orthogonality, projections and eigenvalues, with an emphasis on practical applications and use of the computer package MATLAB.

Topics covered:
Linear systems. Review of Gaussian elimination, partial pivoting. Partitioned matrices. LU factorizations, tridiagonal and band systems. Vector and matrix norms. Condition number. Error analysis. Iterative methods for solving systems of linear equations. Orthogonality, Gram-Schmidt process. QR factorization. Projections, projections as transformations. Least squares approximation. Orthogonal expansions, Fourier series. Eigenvalues and eigenvectors. Characteristic equation, diagonalization. Power method and variants. Hermitian and positive definite matrices, unitary matrices, normal matrices.

Applications:
Linear difference and differential equations, stability analysis; classification of quadratic varieties; recurrence relations; population models; Markov chains.

Learning Outcomes

At the end of the course, students will:

• be proficient in the standard techniques of matrix algebra and vector spaces: matrix factorizations (LU and QR); projections; diagonalization; iterative methods (Gauss-Seidel, power method) and convergence
• understand why these techniques work
• be able to use these techniques in a variety of applications, including using MATLAB to solve standard problems
• have developed problem solving skills both as part of a team and as an individual
• have developed written and oral communication skills, emphasizing the ability to explain what the mathematics means

Pre-requisites

Restrictions

MATH252, MATH254, EMTH203, EMTH204, EMTH211
Lectures
Streams Day Time Where Notes
Stream 01 Monday 12:00pm-1:00pm E8 Lecture Theatre 17 Sep - 14 Oct
Wednesday 12:00pm-1:00pm E6 Lecture Theatre 17 Sep - 14 Oct
Thursday 3:00pm-4:00pm E5 Lecture Theatre 17 Sep - 14 Oct

Tutorials
Streams Day Time Where Notes
Stream 01 Wednesday 8:00am-9:00am Erskine 033 Lab 1 9 Jul - 19 Aug,
3 Sep - 14 Oct
Stream 02 Tuesday 8:00am-9:00am Erskine 035 Lab 2 9 Jul - 19 Aug,
3 Sep - 14 Oct
Stream 03 Wednesday 1:00pm-2:00pm Erskine 035 Lab 2 9 Jul - 19 Aug,
3 Sep - 14 Oct
Stream 04 Friday 4:00pm-5:00pm Erskine 035 Lab 2 9 Jul - 19 Aug,
3 Sep - 14 Oct

Course Coordinator

Clemency Montelle

Lecturers

Clemency Montelle and Chris Price

Assessment

Assessment Due Date Percentage 
Internal Assessment - TBA 50%
Final Examination 50%

Examination and Formal Tests

Exam Thursday 08 Nov 2012 9:30am-12:30pm  

Textbooks

Poole, Linear Algebra: A Modern Introduction, Brookes/Cole.

Course links

MATH203 Homepage

Fees

Domestic fee $622.00
International fee $3,200.00


For further information see Mathematics and Statistics.

All MATH203 Occurrences

  • MATH203-12S2 (C) Semester Two 2012
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