PMTH213 Linear Algebra
Updated: 21 December 2012| Credit Points | 6 | |||||||||
| Offering |
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| Intensive School(s) |
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| Supervised Exam | There is a UNE Supervised Examination held at the end of the teaching period in which you are enrolled. | |||||||||
| Pre-requisites | MATH101 and MATH102 or candidature in a postgraduate award in the School of Environmental and Rural Science or School of Science and Technology | |||||||||
| Co-requisites | None | |||||||||
| Restrictions | PMTH213A | |||||||||
| Notes | None | |||||||||
| Combined Units | None | |||||||||
| Coordinator(s) | Imre Bokor (imi@turing.une.edu.au) | |||||||||
| Unit Description |
Linear Algebra studies linear transformations between vector spaces. The unit introduces these concepts based on familiar examples, and shows earlier results, like the Fundamental Theorem of Calculus, in a new light. Construction of vector spaces and linear transformations leads to their classification using the notions of basis and of dimension. Matrices, together algebraic operations on them, are introduced as convenient representation and computational tools in the finite dimensional case. The classification of matrices leads to the study of eigenvalues and eigenvectors, determinants, diagonalisation, the Cayley-Hamilton Theorem. Inner product spaces, essential to geometry, are studied, including orthogonality, adjoint transformations, leading to Gram-Schmid orthogonalisation, Riesz's Representation Theorem and Sylvester's classification of real quadratic forms. This unit provides the basis for studying algebra, functional analysis, classical and quantum mechanics, differential geometry, and aspects of statistics.
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| Materials | Textbook information will be displayed approximately 8 weeks prior to the commencement of the teaching period. Please note that textbook requirements may vary from one teaching period to the next. | |||||||||
| Disclaimer | Unit information may be subject to change prior to commencement of the teaching period. |
| Assessment |
Assessment information will be published prior to commencement of the teaching period.
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| Learning Outcomes (LO) |
Upon completion of this unit, students will be able to:
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| Graduate Attributes (GA) |
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