# Linear Algebra (MAST10007)

Undergraduate level 1Points: 12.5On Campus (Parkville)

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## Overview

Year of offer 2019 Undergraduate Level 1 MAST10007 Parkville Summer TermSemester 1Semester 2 Subject EFTSL, Level, Discipline & Census Date

This subject gives a solid grounding in key areas of modern mathematics needed in science and technology. It develops the concepts of vectors, matrices and the methods of linear algebra. Students should develop the ability to use the methods of linear algebra and gain an appreciation of mathematical proof. Little of the material here has been seen at school and the level of understanding required represents an advance on previous studies.

Systems of linear equations, matrices and determinants; vectors in real n-space, cross product, scalar triple product, lines and planes; vector spaces, linear independence, basis, dimension; linear transformations, eigenvalues, eigenvectors; inner products, least squares estimation, symmetric and orthogonal matrices.

## Intended learning outcomes

Students completing this subject should:

• be able to use matrix techniques to represent and solve a system of simultaneous linear equations;
• understand the use of vectors in describing lines and planes in solid geometry;
• understand the extension of vector concepts to abstract vector spaces of arbitrary finite dimension;
• understand linear transformations, their matrix representations and applications;
• become familiar with the use of a computer package for symbolic and numeric calculation.

## Generic skills

In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include:

• problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies;
• analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis;
• collaborative skills: the ability to work in a team;
• time-management skills: the ability to meet regular deadlines while balancing competing commitments; and
• computer skills: the ability to use mathematical computing packages.

## Eligibility and requirements

### Prerequisites

A study score of at least 27 in VCE Specialist Mathematics 3/4, or equivalent, or one of:

Code Name Teaching period Credit Points
MAST10005 Calculus 1
Semester 1
Semester 2
12.5
MAST10006 Calculus 2
Semester 1
Semester 2
12.5
MAST10019 2019

None

### Non-allowed subjects

Students may only gain credit for one of

Code Name Teaching period Credit Points
MAST10007 Linear Algebra
Summer Term
Semester 1
Semester 2
12.5
MAST10008 Accelerated Mathematics 1
Semester 1
12.5
MAST10013 2019
MAST10018 2019

Bachelor of Science students are permitted to complete a maximum of three level-1 Mathematics and Statistics subjects. They are not permitted to complete all four of MAST10005, MAST10006, MAST10007 and MAST10010

### Core participation requirements

The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.

Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home

## Assessment

### Description

Summer semester: Five assignments, either written or online, due at weekly intervals during semester amounting to a total of up to 25 pages (10%), one 45-minute computer laboratory test held at the end of semester (10%), and a 3-hour written examination in the examination period (80%). Up to two of the five assignment based assessments will be completed online.

Semester 1 and 2: Eight to ten assignments (written or online) due at regular intervals during semester amounting to a total of up to 25 pages (10%), one 45-minute computer laboratory test held at the end of semester (10%), and a 3-hour written examination in the examination period (80%). Up to one third of the assignment based assessment will be completed online.

## Dates & times

• Summer Term
Principal coordinator Binzhou Xia On Campus — Parkville Summer Semester: 6 x one hour lectures per week, 2 x one hour practice classes per week, 2 x one hour computer laboratory classes per week. Semester 1 and 2: 3 x one hour lectures per week, 1 x one hour practice class per week, 1 x one hour computer laboratory class per week 170 hours 2 January 2019 to 22 February 2019 11 January 2019 18 January 2019 8 February 2019 2 March 2019

### Summer Term contact information

• Semester 1
Principal coordinator Christine Mangelsdorf On Campus — Parkville Summer Semester: 6 x one hour lectures per week, 2 x one hour practice classes per week, 2 x one hour computer laboratory classes per week. Semester 1 and 2: 3 x one hour lectures per week, 1 x one hour practice class per week, 1 x one hour computer laboratory class per week 170 hours 4 March 2019 to 2 June 2019 15 March 2019 31 March 2019 10 May 2019 28 June 2019

### Semester 1 contact information

• Semester 2
Principal coordinator Craig Hodgson On Campus — Parkville Summer Semester: 6 x one hour lectures per week, 2 x one hour practice classes per week, 2 x one hour computer laboratory classes per week. Semester 1 and 2: 3 x one hour lectures per week, 1 x one hour practice class per week, 1 x one hour computer laboratory class per week 170 hours 29 July 2019 to 27 October 2019 9 August 2019 31 August 2019 27 September 2019 22 November 2019

## Time commitment details

Estimated total time commitment of 170 hours

## Further information

Last updated: 21 March 2019