NUMBER SYSTEMS AND LINEAR ALGEBRA

MAT1NLA

2020

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).]

School: Engineering and Mathematical Sciences (Pre 2022)

Credit points: 15

Subject Co-ordinator: Chris Taylor

Available to Study Abroad/Exchange Students: Yes

Subject year level: Year Level 1 - UG

Exchange Students: No

Available as Elective: No

Learning Activities: N/A

Capstone subject: No

Subject particulars

Subject rules

Prerequisites: VCE Mathematical Methods 3/4 or equivalent

Co-requisites: N/A

Incompatible subjects: MAT1CLA OR MAT1CNS OR MAT1CA OR MAT1CB OR MAT1CPE

Equivalent subjects: N/A

Quota Management Strategy: N/A

Quota-conditions or rules: N/A

Special conditions: May not be taken by students who are currently enrolled in MAT1ICA.

Minimum credit point requirement: N/A

Assumed knowledge: N/A

Career Ready

Career-focused: No

Work-based learning: No

Self sourced or Uni sourced: N/A

Entire subject or partial subject: N/A

Total hours/days required: N/A

Location of WBL activity (region): N/A

WBL addtional requirements: N/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.

Bendigo, 2020, Semester 1, Blended

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Enrolment information: N/A

Subject Instance Co-ordinator: Toen Castle

Class requirements

LectureWeek: 10 - 22
Two 1.00 hour 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 hour 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 hour 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 hour 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 element	Comments	Category	Contribution	Hurdle	%	ILO*
3 hour exam (3000 words) Hurdle requirement: To pass the subject, a minimum 40% mark in the examination is mandatory.	N/A	Central exam	Individual	Yes	65	SILO1, SILO2, SILO3, SILO4, SILO5, SILO6, SILO7
5 assignments (1000 word equiv) Students in the Summer8 semester will have 4 assignments with a total word equivalence commensurate with the 5 assignments in the other instances.	N/A	Assignment	Individual	No	20	SILO1, SILO2, SILO3, SILO4, SILO5, SILO6, SILO7
5 online diagnostic tasks (500 word equiv) Students in the Summer8 semester will have 4 online diagnostics with a total word equivalence commensurate with the 5 tasks in the other instances.	N/A	Other	Individual	No	15	SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

Melbourne (Bundoora), 2020, Semester 1, Blended

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Enrolment information: N/A

Subject Instance Co-ordinator: Katherine Seaton

Class requirements

LectureWeek: 10 - 22
Two 1.00 hour 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 hour 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 hour 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 element	Comments	Category	Contribution	Hurdle	%	ILO*
3 hour exam (3000 words) Hurdle requirement: To pass the subject, a minimum 40% mark in the examination is mandatory.	N/A	Central exam	Individual	Yes	65	SILO1, SILO2, SILO3, SILO4, SILO5, SILO6, SILO7
5 assignments (1000 word equiv) Students in the Summer8 semester will have 4 assignments with a total word equivalence commensurate with the 5 assignments in the other instances.	N/A	Assignment	Individual	No	20	SILO1, SILO2, SILO3, SILO4, SILO5, SILO6, SILO7
5 online diagnostic tasks (500 word equiv) Students in the Summer8 semester will have 4 online diagnostics with a total word equivalence commensurate with the 5 tasks in the other instances.	N/A	Other	Individual	No	15	SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

Melbourne (Bundoora), 2020, Summer 8, Blended

Overview

Online enrolment: Yes

Maximum enrolment size: N/A

Enrolment information: N/A

Subject Instance Co-ordinator: Chris Taylor

Class requirements

LectureWeek: 50 - 0
Three 1.00 hour lecture per week on weekdays during the day from week 50 to week 0 and delivered via face-to-face.

PracticalWeek: 50 - 0
Three 1.00 hour practical per week on weekdays during the day from week 50 to week 0 and delivered via face-to-face.

Unscheduled Online ClassWeek: 50 - 0
One 0.70 hour unscheduled online class per week on weekdays during the day from week 50 to week 0 and delivered via online.
Videos and reading materials

Assessments

Assessment element	Comments	Category	Contribution	Hurdle	%	ILO*
3 hour exam (3000 words) Hurdle requirement: To pass the subject, a minimum 40% mark in the examination is mandatory.	N/A	Central exam	Individual	Yes	65	SILO1, SILO2, SILO3, SILO4, SILO5, SILO6, SILO7
4 assignments (1000 word equiv)	N/A	Assignment	Individual	No	20	SILO1, SILO2, SILO3, SILO4, SILO5, SILO6, SILO7
4 online diagnostic tasks (500 word equiv)	N/A	Other	Individual	No	15	SILO1, SILO2, SILO3, SILO4, SILO5, SILO6