# LINEAR ALGEBRA

MAT2LAL

2016

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

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

Resource TypeTitleResource RequirementAuthor and YearPublisher
ReadingsPrinted subject text available from University BookshopPrescribed..

## 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.
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.
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.
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.
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.
Writing(Writing)
Discipline-specific GCs(Discipline-specific GCs)

## Subject options

Select to view your study options…

Start date between: and    Key dates

## Bendigo, 2016, 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

fortnightly assignments3004, 02, 03, 01, 05
one 3-hour examination7001, 02, 03, 04, 05

## Melbourne, 2016, Semester 2, Day

### Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Enrolment information

Subject Instance Co-ordinatorPeter Van Der Kamp

### 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.