Linear Algebra
Undergraduate
Undergraduate
MATH 1056
Undergraduate
No
101193
4.5
Yes
School of Information Technology and Mathematical Sciences
To develop basic concepts in linear algebra and apply them to problems using analytic and numerical techniques. To provide an introduction to matrix algebra and to use the software package MATLAB to solve problems.
Module 1: Linear Algebra (Applied)
Vectors and matrices, linear dependence of vectors, linear systems of equations, row operation as matrix multiplications, row reduced echelon form (RREF), matrix inverse, determinants, eigenvalues and eigenvectors of a square matrix, degenerate eigenvalues, diagonalisation of a square matrix, application to coupled systems of ordinary differential equations with examples from mechanics and ecology. MATLAB exercises.
Module 2: Linear Algebra (Abstract)
Definition and basic properties of abstract vector spaces; examples; Inner products; Cauchy-Schwarz inequality; Subspaces; Definition of dimension; Finite vector spaces and bases; The isomorphism theorem; Linear Transformations. Basic definitions: rank, null space, etc. The fundamental theorem; Special transformations: projections, orthogonal transformation, symmetric transformations, stochastic matrices; Spectral theorem for symmetric matrices; Matrix functions: matrix exponential, power series.
Larson, Ron 2015, Elementary Linear Algebra, Student edition, Cencage Learning , Boston, Massachusetts, United States
Kleinfeld, Erwin & Kleinfeld, Margaret 2001, Understanding Linear Algebra Using MATLAB, -, Prentice Hall, Upper Saddle River, NJ and London
Common to all relevant programs | |
---|---|
Subject Area & Catalogue Number | Course Name |
MATH 1054 | Calculus 1 |
Nil
Component | Duration | ||
---|---|---|---|
INTERNAL, MAWSON LAKES | |||
Lecture | 4 hours x 13 weeks | ||
Tutorial | 1 hour x 12 weeks | ||
Computer Practical | 1 hour x 12 weeks |
Note: These components may or may not be scheduled in every study period. Please refer to the timetable for further details.
Assignment, Continuous assessment, Examination
EFTSL*: 0.125
Commonwealth Supported program (Band 2)
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* Equivalent Full Time Study Load. Please note: all EFTSL values are published and calculated at ten decimal places. Values are displayed to three decimal places for ease of interpretation.