mat2lal linear algebra
LINEAR ALGEBRA
MAT2LAL
2017
Credit points: 15
Subject outline
Linear algebra is one of the cornerstones of modern mathematics. Simple geometrical ideas, such as lines, planes, rules for vector addition and dot products arise in many places, including calculus, signal processing, mechanics, differential equations and numerical analysis. This subject is an introduction to the mathematics which allows these geometrical ideas to be applied in non-geometrical contexts. Using the key ideas of linear independence and spanning sets we develop the notion of a basis for a vector space. The fact that the space of functions is a vector space lies at the heart of Fourier approximation.
SchoolSchool Engineering&Mathematical Sciences
Credit points15
Subject Co-ordinatorPeter Van Der Kamp
Available to Study Abroad StudentsYes
Subject year levelYear Level 2 - UG
Exchange StudentsYes
Subject particulars
Subject rules
Prerequisites MAT1CLA or (MAT1NLA and MAT1CDE)
Co-requisitesN/A
Incompatible subjectsN/A
Equivalent subjectsN/A
Special conditionsN/A
Learning resources
Readings
| Resource Type | Title | Resource Requirement | Author and Year | Publisher |
|---|---|---|---|---|
| Readings | Printed subject text available from University Bookshop | Prescribed | . | . |
Graduate capabilities & intended learning outcomes
01. Perform calculations using vectors and matrices, including application of the Gaussian algorithm.
- Activities:
- Discussed and demonstrated in lectures. Related problems solved by students in practice classes. Assignment questions, with feedback.
- Related graduate capabilities and elements:
- Discipline-specific GCs(Discipline-specific GCs)
- Writing(Writing)
- Critical Thinking(Critical Thinking)
- Quantitative Literacy/ Numeracy(Quantitative Literacy/ Numeracy)
- Creative Problem-solving(Creative Problem-solving)
02. Describe vector spaces, vector subspaces, and the linear maps between them in terms of bases.
- Activities:
- Discussed and demonstrated in lectures. Related problems solved by students in practice classes. Assignment questions, with feedback.
- Related graduate capabilities and elements:
- Creative Problem-solving(Creative Problem-solving)
- Writing(Writing)
- Critical Thinking(Critical Thinking)
- Quantitative Literacy/ Numeracy(Quantitative Literacy/ Numeracy)
- Discipline-specific GCs(Discipline-specific GCs)
03. Apply the methods of linear algebra in applications including: Fourier approximations, differential equations, quadratic forms, and approximation.
- Activities:
- Discussed and demonstrated in lectures. Related problems solved by students in practice classes. Assignment questions, with feedback.
- Related graduate capabilities and elements:
- Writing(Writing)
- Critical Thinking(Critical Thinking)
- Inquiry/ Research(Inquiry/ Research)
- Creative Problem-solving(Creative Problem-solving)
- Discipline-specific GCs(Discipline-specific GCs)
- Quantitative Literacy/ Numeracy(Quantitative Literacy/ Numeracy)
04. Communicate understanding of basic definitions and utilise them to prove elementary results in linear algebra.
- Activities:
- Discussed and demonstrated in lectures. Related problems solved by students in practice classes. Assignment questions, with feedback.
- Related graduate capabilities and elements:
- Discipline-specific GCs(Discipline-specific GCs)
- Writing(Writing)
- Critical Thinking(Critical Thinking)
- Creative Problem-solving(Creative Problem-solving)
05. Communicate understanding of linear algebra using both words and precise mathematical symbolism.
- Activities:
- Mathematical writing is modelled in lectures and by use of model solutions to practice classes and assignments. Feedback is given on marked assignments on student's progress towards this ILO.
- Related graduate capabilities and elements:
- Writing(Writing)
- Discipline-specific GCs(Discipline-specific GCs)
Subject options
Select to view your study options…
Bendigo, 2017, Semester 2, Day
Overview
Online enrolmentYes
Maximum enrolment sizeN/A
Enrolment information
Subject Instance Co-ordinatorChristopher Lenard
Class requirements
LectureWeek: 31 - 43
Two 1.0 hours lecture per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.
PracticalWeek: 31 - 43
Two 1.0 hours practical per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.
Assessments
| Assessment element | Comments | % | ILO* |
|---|---|---|---|
| 5 fortnightly assignments (total 1500 word equiv) | 30 | 04, 02, 03, 01, 05 | |
| one 3-hour examination | 70 | 01, 02, 03, 04, 05 |
Melbourne, 2017, Semester 2, Day
Overview
Online enrolmentYes
Maximum enrolment sizeN/A
Enrolment information
Subject Instance Co-ordinatorPeter Van Der Kamp
Class requirements
PracticalWeek: 31 - 43
Two 1.0 hours practical per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.
LectureWeek: 31 - 43
Two 1.0 hours lecture per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.
Assessments
| Assessment element | Comments | % | ILO* |
|---|---|---|---|
| 5 fortnightly assignments (total 1500 word equiv) | 30 | 04, 02, 03, 01, 05 | |
| one 3-hour examination | 70 | 01, 02, 03, 04, 05 |