# 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 forall 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 ofvectors 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).]

SchoolSchool Engineering&Mathematical Sciences

Credit points15

Subject Co-ordinatorKatherine Seaton

Subject year levelYear Level 1 - UG

Exchange StudentsYes

## Subject particulars

### Subject rules

Prerequisites VCE Mathematical Methods 3/4 or equivalent

Co-requisitesN/A

Incompatible subjects MAT1CNS, MAT1CPE, MAT1CLA, MAT1CA, MAT1CB

Equivalent subjectsN/A

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

## Graduate capabilities & intended learning outcomes

01. Manipulate and find solution sets to equalities and inequalities involving algebraic expressions.

Activities:
Students are introduced to fundamental concepts in lectures and practice using ideas and techniques covered, under staff supervision, in Practice Classes. Reinforcement practice, feedback and assessment are provided through assignments and online activities.

02. Calculate limits of sequences and sums of infinite series.

Activities:
Students are introduced to fundamental concepts in lectures and practice using ideas and techniques covered, under staff supervision, in Practice Classes. Reinforcement practice, feedback and assessment are provided through assignments and online activities.

03. Solve algebraic problems involving complex numbers, including the use of geometric interpretations to find and describe solutions.

Activities:
Students are introduced to fundamental concepts in lectures and practice using ideas and techniques covered, under staff supervision, in Practice Classes. Reinforcement practice, feedback and assessment are provided through assignments and online activities.

04. Apply vector techniques and matrix operations to find and describe objects in three dimensional space, and find eigenvalues and eigenvectors in two dimensions.

Activities:
Students are introduced to fundamental concepts in lectures and practice using ideas and techniques covered, under staff supervision, in Practice Classes. Reinforcement practice, feedback and assessment are provided through assignments and online activities.

05. Use Gaussian elimination to solve systems of linear equations and interpret the solutions geometrically.

Activities:
Students are introduced to fundamental concepts in lectures and practice using ideas and techniques covered, under staff supervision, in Practice Classes. Reinforcement practice, feedback and assessment are provided through assignments and online activities.

06. Explore and creatively apply the ideas and techniques of mathematics and effectively communicate the processes and outcomes.

Activities:
Students are introduced to fundamental concepts in lectures and practice using ideas and techniques covered, under staff supervision, in Practice Classes. Reinforcement practice, feedback and assessment are provided through assignments and online activities.

07. Present mathematical thinking in written form in a meaningful and succinct way using both words and mathematical notation.

Activities:
Emphasis is placed on this in lectures and practice classes and assignments have specifically allocated marks for, and feedback on improvements to, written mathematical communication.

## Subject options

Select to view your study options…

Start date between: and    Key dates

## Bendigo, 2020, Semester 1, Blended

### Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Enrolment information

Subject Instance Co-ordinatorToen Castle

### Class requirements

Lecture Week: 10 - 22
Two 1.0 hours lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Practical Week: 10 - 22
Two 1.0 hours practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Tutorial Week: 10 - 22
One 1.0 hours tutorial per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Unscheduled Online Class Week: 10 - 22
One 0.5 hours unscheduled online class per week on weekdays during the day from week 10 to week 22 and delivered via online.

### Assessments

3 hour exam (3000 words)Hurdle requirement: To pass the subject, a minimum 40% mark in the examination is mandatory.65 01, 02, 03, 04, 05, 06, 07
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.20 01, 02, 03, 04, 05, 06, 07
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.15 01, 02, 03, 04, 05, 06

## Melbourne, 2020, Semester 1, Blended

### Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Enrolment information

Subject Instance Co-ordinatorKatherine Seaton

### Class requirements

Lecture Week: 10 - 22
Two 1.0 hours lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Practical Week: 10 - 22
Two 1.0 hours practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Unscheduled Online Class Week: 10 - 22
One 0.5 hours unscheduled online class per week on weekdays during the day from week 10 to week 22 and delivered via online.

### Assessments

3 hour exam (3000 words)Hurdle requirement: To pass the subject, a minimum 40% mark in the examination is mandatory.65 01, 02, 03, 04, 05, 06, 07
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.20 01, 02, 03, 04, 05, 06, 07
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.15 01, 02, 03, 04, 05, 06

## Melbourne, 2020, Summer8, Blended

### Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Enrolment information

Subject Instance Co-ordinatorChris Taylor

### Class requirements

Lecture Week: 50
Three 1.0 hours lecture per week on weekdays during the day in week 50 and delivered via face-to-face.

Practical Week: 50
Three 1.0 hours practical per week on weekdays during the day in week 50 and delivered via face-to-face.

Unscheduled Online Class Week: 50
One 0.7 hours unscheduled online class per week on weekdays during the day in week 50 and delivered via online.