LINEAR ALGEBRA

MAT2LAL

2020

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.

SchoolEngineering and Mathematical Sciences

Credit points15

Subject Co-ordinatorPeter Van Der Kamp

Available to Study Abroad/Exchange StudentsYes

Subject year levelYear Level 2 - UG

Available as ElectiveNo

Learning ActivitiesN/A

Capstone subjectNo

Subject particulars

Subject rules

PrerequisitesMAT1CLA OR (MAT1CDE AND MAT1NLA)

Co-requisitesN/A

Incompatible subjectsN/A

Equivalent subjectsN/A

Quota Management StrategyN/A

Quota-conditions or rulesN/A

Special conditionsN/A

Minimum credit point requirementN/A

Assumed knowledgeN/A

Readings

Printed subject text available from University Bookshop

Resource TypePrescribed

Resource RequirementN/A

AuthorN/A

YearN/A

Edition/VolumeN/A

PublisherN/A

ISBNN/A

Chapter/article titleN/A

Chapter/issueN/A

URLN/A

Other descriptionN/A

Source locationN/A

Career Ready

Career-focusedNo

Work-based learningNo

Self sourced or Uni sourcedN/A

Entire subject or partial subjectN/A

Total hours/days requiredN/A

Location of WBL activity (region)N/A

WBL addtional requirementsN/A

Graduate capabilities & intended learning outcomes

Graduate Capabilities

DISCIPLINE KNOWLEDGE AND SKILLS

Intended Learning Outcomes

01. Perform calculations using vectors and matrices, including application of the Gaussian algorithm.
02. Describe vector spaces, vector subspaces, and the linear maps between them in terms of bases.
03. Apply the methods of linear algebra in applications including: Fourier approximations, differential equations, quadratic forms, and approximation.
04. Communicate understanding of basic definitions and utilise them to prove elementary results in linear algebra.
05. Communicate understanding of linear algebra using both words and precise mathematical symbolism.

Subject options

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Start date between: and    Key dates

Bendigo, 2020, Semester 2, Day

Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Subject Instance Co-ordinatorChristopher Lenard

Class requirements

Lecture Week: 31 - 43
Two 1.00 h lecture per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

Practical Week: 31 - 43
Two 1.00 h practical per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

Assessments

Assessment elementCommentsCategoryContributionHurdle% ILO*
5 fortnightly assignments (total 1500 word equiv)N/AN/AN/ANo30 SILO1, SILO2, SILO3, SILO4, SILO5
One 3-hour examinationN/AN/AN/ANo70 SILO1, SILO2, SILO3, SILO4, SILO5

Melbourne (Bundoora), 2020, Semester 2, Day

Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Subject Instance Co-ordinatorPeter Van Der Kamp

Class requirements

Lecture Week: 31 - 43
Two 1.00 h lecture per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

Practical Week: 31 - 43
Two 1.00 h practical per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.

Assessments

Assessment elementCommentsCategoryContributionHurdle% ILO*
5 fortnightly assignments (total 1500 word equiv)N/AN/AN/ANo30 SILO1, SILO2, SILO3, SILO4, SILO5
One 3-hour examinationN/AN/AN/ANo70 SILO1, SILO2, SILO3, SILO4, SILO5