NUMBER SYSTEMS AND LINEAR ALGEBRA

MAT1NLA

2021

Credit points: 15

Subject outline

In this subject, you will learn and apply mathematical concepts and develop skills that provide a foundation for all studies in mathematical sciences. Your knowledge of algebra, functions, sets and number systems will be reviewed and extended, with significant coverage of complex numbers adding to your repertoire. After consideration of sequences and series, you proceed to a module on Logic and Proof. You will also explore a coherent treatment of vectors and vector geometry that includes matrices and solutions of systems of linear equations via the Gauss-Jordan algorithm, and brief treatment of eigenvalues and eigenvectors. An emphasis is placed on you improving your understanding of mathematical concepts and results so they can be appropriately applied, and your development of reasoning skills and ability to clearly present written arguments, essential in both study and employment. [Engineering students will work to achieve the stage one competencies 1.2 (conceptual understanding of the underpinning mathematics, numerical analysis and statistics), 3.2 (effective written communication) and 3.4 (management of self).]

SchoolEngineering and Mathematical Sciences

Credit points15

Subject Co-ordinatorKatherine Seaton

Available to Study Abroad/Exchange StudentsYes

Subject year levelYear Level 1 - UG

Available as ElectiveNo

Learning ActivitiesN/A

Capstone subjectNo

Subject particulars

Subject rules

Prerequisites VCE Mathematical Methods 3/4 or equivalent

Co-requisitesN/A

Incompatible subjectsMAT1CNS OR MAT1CB OR MAT1CA OR MAT1CLA OR MAT1CPE

Equivalent subjectsN/A

Quota Management StrategyN/A

Quota-conditions or rulesN/A

Special conditionsMay not be taken by students who are currently enrolled in MAT1ICA.

Minimum credit point requirementN/A

Assumed knowledgeN/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

Intended Learning Outcomes

01. Manipulate and find solution sets to equalities and inequalities involving algebraic expressions.
02. Calculate limits of sequences and sums of infinite series.
03. Solve algebraic problems involving complex numbers, including the use of geometric interpretations to find and describe solutions.
04. Apply vector techniques and matrix operations to find and describe objects in three dimensional space, and find eigenvalues and eigenvectors in two dimensions.
05. Use Gaussian elimination to solve systems of linear equations and interpret the solutions geometrically.
06. Explore and creatively apply the ideas and techniques of mathematics and effectively communicate the processes and outcomes.
07. Present mathematical thinking in written form in a meaningful and succinct way using both words and mathematical notation.

Subject options

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Start date between: and    Key dates

Bendigo, 2021, Semester 1, Blended

Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Subject Instance Co-ordinatorToen Castle

Class requirements

LectureWeek: 10 - 22
Two 1.00 h lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

PracticalWeek: 10 - 22
Two 1.00 h practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

TutorialWeek: 10 - 22
One 1.00 h tutorial per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Unscheduled Online ClassWeek: 10 - 22
One 0.50 h unscheduled online class per week on weekdays during the day from week 10 to week 22 and delivered via online.
Videos and reading materials

Assessments

Assessment elementCommentsCategoryContributionHurdle% ILO*
3 hour exam (3000 words) Hurdle requirement: To pass the subject, a minimum 40% mark in the examination is mandatory.N/AN/AN/AYes65 SILO1, SILO2, SILO3, SILO4, SILO5, SILO6, SILO7
5 assignments (1000 word equiv)N/AN/AN/ANo20 SILO1, SILO2, SILO3, SILO4, SILO5, SILO6, SILO7
5 online diagnostic tasks (500 word equiv)N/AN/AN/ANo15 SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

Melbourne (Bundoora), 2021, Semester 1, Blended

Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Subject Instance Co-ordinatorKatherine Seaton

Class requirements

LectureWeek: 10 - 22
Two 1.00 h lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

PracticalWeek: 10 - 22
Two 1.00 h practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Unscheduled Online ClassWeek: 10 - 22
One 0.50 h unscheduled online class per week on weekdays during the day from week 10 to week 22 and delivered via online.
Videos and reading materials

Assessments

Assessment elementCommentsCategoryContributionHurdle% ILO*
3 hour exam (3000 words) Hurdle requirement: To pass the subject, a minimum 40% mark in the examination is mandatory.N/AN/AN/AYes65 SILO1, SILO2, SILO3, SILO4, SILO5, SILO6, SILO7
5 assignments (1000 word equiv)N/AN/AN/ANo20 SILO1, SILO2, SILO3, SILO4, SILO5, SILO6, SILO7
5 online diagnostic tasks (500 word equiv)N/AN/AN/ANo15 SILO1, SILO2, SILO3, SILO4, SILO5, SILO6