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PMTH213 Linear Algebra

Updated: 14 December 2011
Credit Points 6
Offering
Responsible Campus Teaching Period Mode of Study
Armidale Trimester 2 Off Campus
Armidale Trimester 2 On Campus
Intensive School(s)
Start Finish Attendance Notes
21 June 2012 23 June 2012 Non-Mandatory
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

Topics covered include vector spaces, linear transformations, matrices, determinants, eigenvalues and eigenvectors, Cayley-Hamilton Theorem, diagonalisation, inner product spaces, orthogonality, Gram-Schmidt orthogonalisation, classification of real quadratic forms. Three lectures and a one-hour tutorial per week.
Materials Text information will be published prior to commencement of the teaching period.
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.
Learning Outcomes (LO) Upon completion of this unit, students will be able to:
  1. unify material learnt in earlier units, specifically algebra (MATH101), differential equations (MATH102) and multivariate calculus (PMTH212);
  2. develop both theoretical understanding and computing methods;
  3. prepare themselves for later studies in algebra, statistics, functional analysis, complex variables, differential geometry, signal processing, harmonic analysis;
  4. illustrate, demonstrate and teach modern mathematics.

Graduate Attributes (GA)
Attribute Taught Assessed Practised
1 Knowledge of a Discipline
Knowledge gained by the student in lectures will be applied in collaboration with the lecturer to problems and examples in tutorials. The student will then map this experience onto further problem-solving tasks in assignments, where the identification of central concepts in the discipline, and the student's ability to articulate them, will be assessed. 		True True True
2 Communication Skills
The student will be encouraged to participate actively in discussion during lectures and tutorials. Written communication skills, particularly with regard to construction and presentation of logical expositions and arguments, will be taught and assessed. 		True True True
3 Global Perspectives
Students are shown applications to other branches of mathematics, natural and social sciences. Problems in other disciplines and everyday situation are used to motivate and formulate mathemathical notions and techniques for analysing them, especially to extend analytical skills to understanding the world and seeing interconnections. 		True True True
4 Information Literacy
The student will be guided in the use of online resources, library and internet access to recommended references, particularly in conjunction with assignment tasks. 		True True True
5 Life-Long Learning
The student will discover the breadth of the discipline through this introductory unit and will become aware of its ongoing development as a field of higher degree research. 		True True
6 Problem Solving
The student will encounter in this unit a field of knowledge that is intensely problem-based, and will acquire skill in connecting ideas within a network of logical relationships. A high emphasis will be placed on the development of analytical and deductive reasoning. 		True True True
7 Social Responsibility
Students are encouraged to learn cooperatively, meet to explain the material to each other, support each other, and learn from and through each other, but with adherence to principles of personal integrity,submitting only material legitimately their own. 		True True
8 Team Work
The student will be encouraged to participate in interactive discussion with other students regarding ideas and problems addressed in the unit. Written assignment submissions must be the student's own work, but may be the outcome of group discussion. 		True True
   

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