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MATH1002: Linear Algebra (2014 - Semester 1)

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Unit: MATH1002: Linear Algebra (3 CP)
Mode: Normal-Day
On Offer: Yes
Level: Junior
Faculty/School: School of Mathematics and Statistics
Unit Coordinator/s:
Session options: Semester 1
Versions for this Unit:
Campus: Camperdown/Darlington
Pre-Requisites: None.
Prohibitions: MATH1902, MATH1012, MATH1014
Brief Handbook Description: MATH1002 is designed to provide a thorough preparation for further study in mathematics and statistics. It is a core unit of study providing three of the twelve credit points required by the Faculty of Science as well as a Junior level requirement in the Faculty of Engineering.

This unit of study introduces vectors and vector algebra, linear algebra including solutions of linear systems, matrices, determinants, eigenvalues and eigenvectors.
Assumed Knowledge: HSC Mathematics or MATH1111
Timetable: MATH1002 Timetable
T&L Activities: Lectures: Two 1 hour lectures and one 1 hour tutorial per week.

Practical Work:

Learning outcomes are the key abilities and knowledge that will be assessed in this unit. They are listed according to the course goal supported by each. See Assessment Tab for details how each outcome is assessed.

Science literacy (mathematical)
1. Competency in applying mathematical logic and rigour to solving problems;
2. Competency in representing vectors both algebraically and geometrically in R2 and R3, and being able to perform arithmetic with them;
3. Competency in using vectors to solve classical geometric problems;
4. Competency in performing and manipulating dot and cross products;
5. Competency in setting up systems of linear equations;
6. Competency in solving systems of linear equations using Gaussian elimination;
7. Competency in performing matrix arithmetic and calculating matrix inverses and determinants;
8. Competency in finding eigenvalues and eigenvectors;
9. Competency in diagonalising a matrix;
10. Competency in expressing mathematical ideas and arguments coherently in written form.
Assessment Methods:
# Name Group Weight Due Week Outcomes
1 Quiz 1 No 15.00 Week 6 1, 2, 3, 4,
2 Quiz 2 No 15.00 Week 11 1, 5, 6, 7, 10,
3 Final Exam No 65.00 Exam Period 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,
4 Assignment No 5.00 Week 8 1, 10,
Assessment Description: Quiz 1. Solving a range of short answer and multiple choice questions on material in the first half of the course

Quiz 2. Solving a range of short answer and multiple choice questions on material in the first two thirds of the course

Assignment. Solving a range of extended answer questions, providing coherent arguments and explanations and accurate answers.

Final exam. Approximately the first third of the exam is answering multiple choice questions. The remainder of the exam is devoted to answering extended long aswer questions.
Note on Resources: As set out in the Junior Mathematics Handbook

Note that the "Weeks" referred to in this Schedule are those of the official university semester calendar https://web.timetable.usyd.edu.au/calendar.jsp

Week Description
Week 6 Assessment Due: Quiz 1
Week 8 Assessment Due: Assignment
Week 11 Assessment Due: Quiz 2
Exam Period Assessment Due: Final Exam

Course Relations

The following is a list of courses which have added this Unit to their structure.

Course Year(s) Offered
Aeronautical / Science (Medical Science Stream) 2018, 2019, 2020, 2021, 2022
Advanced Computing / Science 2018, 2019, 2020, 2021, 2022, 2023
Advanced Computing / Science (Medical Science) 2018, 2019, 2020, 2021, 2022, 2023
Bachelor of Advanced Computing (Computational Data Science) 2018, 2019, 2020, 2021, 2022, 2023
Advanced Computing / Commerce 2018, 2019, 2020, 2021, 2022, 2023
Bachelor of Advanced Computing (Computational Data Science) - Mid-Year 2021, 2022, 2023
Bachelor of Advanced Computing (Computer Science) 2018, 2019, 2020, 2021, 2022, 2023
Bachelor of Advanced Computing (Cybersecurity) 2022, 2023
Bachelor of Advanced Computing (Computer Science) - Mid-Year 2021, 2022, 2023
Bachelor of Advanced Computing (Cybersecurity) - Mid-Year 2021, 2022, 2023
Bachelor of Advanced Computing (Information Systems) (not offered from 2022+) 2018, 2019, 2020, 2021
Bachelor of Advanced Computing (Software Development) 2018, 2019, 2020, 2021, 2022, 2023
Bachelor of Advanced Computing (Software Development) - Mid-Year 2021, 2022, 2023
Aeronautical Engineering / Arts 2011, 2012, 2013, 2014
Aeronautical Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Aeronautical Engineering / Medical Science 2011, 2012, 2013, 2014
Aeronautical Engineering / Science 2011, 2012, 2013, 2014
Aeronautical Engineering / Law 2010, 2011, 2012, 2013, 2014
Aeronautical Engineering (Space) / Commerce 2010, 2011, 2012, 2013, 2014
Aeronautical Engineering (Space) / Arts 2011, 2012, 2013, 2014
Aeronautical Engineering (Space) / Medical Science 2011, 2012, 2013, 2014
Aeronautical Engineering (Space) / Science 2011, 2012, 2013, 2014
Aeronautical Engineering (Space) / Law 2010, 2011, 2012, 2013, 2014
Biomedical Engineering / Law 2013, 2014
Biomedical Engineering / Arts 2013, 2014
Biomedical Engineering / Commerce 2013, 2014
Biomedical Engineering / Medical Science 2013, 2014
Biomedical Engineering / Science 2013, 2014
Chemical & Biomolecular Engineering / Arts 2011, 2012, 2013, 2014
Chemical & Biomolecular Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Chemical & Biomolecular Engineering / Medical Science 2011, 2012, 2013, 2014
Chemical & Biomolecular Engineering / Science 2011, 2012, 2013, 2014
Chemical & Biomolecular Engineering / Law 2010, 2011, 2012, 2013, 2014
Civil Engineering / Arts 2011, 2012, 2013, 2014
Civil Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Civil Engineering / Design in Architecture 2010, 2011, 2012, 2013, 2014
Civil Engineering / Medical Science 2011, 2012, 2013, 2014
Civil Engineering / Science 2011, 2012, 2013, 2014
Civil Engineering / Law 2010, 2011, 2012, 2013, 2014
Computer Engineering / Commerce 2010
Electrical Engineering / Arts 2011, 2012, 2013, 2014
Electrical Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Electrical Engineering (Bioelectronics) / Arts 2011, 2012
Electrical Engineering (Bioelectronics) / Commerce 2011, 2012
Electrical Engineering (Bioelectronics) / Medical Science 2011, 2012
Electrical Engineering (Bioelectronics) / Science 2011, 2012
Electrical Engineering (Bioelectronics) / Law 2011, 2012
Electrical Engineering / Medical Science 2011, 2012, 2013, 2014
Electrical Engineering / Science 2011, 2012, 2013, 2014
Electrical Engineering (Computer) / Arts 2011, 2012, 2013, 2014
Electrical Engineering (Computer) / Commerce 2011, 2012, 2013, 2014
Electrical Engineering (Computer) / Medical Science 2011, 2013, 2014
Electrical Engineering (Computer) / Science 2011, 2012, 2013, 2014
Electrical Engineering (Computer) / Law 2011, 2012, 2013, 2014
Electrical Engineering (Power) / Arts 2011, 2012, 2013, 2014
Electrical Engineering (Power) / Commerce 2010, 2011, 2012, 2013, 2014
Electrical Engineering (Power) / Medical Science 2011, 2012, 2013, 2014
Electrical Engineering (Power) / Science 2011, 2012, 2013, 2014
Electrical Engineering (Power) / Law 2010, 2011, 2012, 2013, 2014
Electrical Engineering (Telecommunications) / Arts 2011, 2012, 2013, 2014
Electrical Engineering (Telecommunications) / Commerce 2011, 2012, 2013, 2014
Electrical Engineering (Telecommunications) / Medical Science 2011, 2012, 2013, 2014
Electrical Engineering (Telecommunications) / Science 2011, 2012, 2013, 2014
Electrical Engineering (Telecommunications) / Law 2011, 2012, 2013, 2014
Aeronautical Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Aeronautical / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Aeronautical Engineering 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Aeronautical / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Aeronautical / Arts 2023+ 2023
Aeronautical / Commerce 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Aeronautical / Commerce 2023+ 2023
Aeronautical / Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Aeronautical / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Aeronautical / Law 2023+ 2023
Aeronautical / Science - Mid Year 2023
Aeronautical with Space Engineering 2015, 2021, 2022, 2023
Aeronautical with Space / Arts (2022 and earlier) 2015, 2021, 2022
Aeronautical with Space / Arts 2023+ 2023
Aeronautical with Space / Commerce 2015, 2021, 2022
Aeronautical with Space / Commerce 2023+ 2023
Aeronautical with Space / Science 2015, 2021, 2022, 2023
Aeronautical with Space / Science - Mid Year 2023
Aeronautical with Space / Law 2015, 2021, 2022
Aeronautical with Space / Law 2023+ 2023
Aeronautical with Space / Project Management 2019+ 2021, 2022, 2023
Aeronautical with Space / Science (Medical Science Stream) 2021, 2022
Aeronautical with Space Engineering (mid-year) 2021, 2022, 2023
Biomedical Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Biomedical / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Biomedical Engineering 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Biomedical / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Biomedical / Arts 2023+ 2023
Biomedical / Commerce 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Biomedical / Commerce 2023+ 2023
Biomedical /Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Biomedical / Science (Health) 2018, 2019, 2020, 2021, 2022, 2023
Biomedical / Science (Medical Science) - Mid-Year 2023
Biomedical / Science - Mid Year 2023
Biomedical / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Biomedical / Law 2023+ 2023
Chemical & Biomolecular Engineering 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Chemical & Biomolecular / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Chemical & Biomolecular / Arts 2023+ 2023
Chemical & Biomolecular / Commerce 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Chemical & Biomolecular / Commerce 2023+ 2023
Chemical & Biomolecular / Commerce 2023+ (mid-year) 2023
Chemical & Biomolecular / Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Chemical & Biomolecular / Science - Mid Year 2023, 2024, 2025
Chemical & Biomolecular / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Chemical & Biomolecular / Law 2023+ 2023
Chemical & Biomolecular Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Chemical & Biomolecular / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Civil / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Civil Engineering 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Civil / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Civil / Arts 2023+ 2023
Civil / Commerce 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Civil / Commerce 2023+ 2023
Civil / Commerce 2023+ (mid-year) 2023
Civil / Design in Architecture 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Civil / Project Management 2015, 2016, 2017, 2018
Civil / Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Civil / Science - Mid Year 2023
Civil / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Civil / Law 2023+ 2023
Civil Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Electrical / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Electrical Engineering 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Electrical / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Electrical / Arts 2023+ 2023
Electrical / Commerce 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Electrical / Commerce 2023+ 2023
Electrical / Project Management 2015, 2016, 2017, 2018
Electrical / Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Electrical / Science - Mid Year 2023
Electrical / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Electrical / Law 2023+ 2023
Electrical Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Mechanical Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Mechanical / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Mechanical Engineering 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Mechanical / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Mechanical / Arts 2023+ 2023
Mechanical / Commerce 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Mechanical / Commerce 2023+ 2023
Mechanical / Commerce 2023+ (mid-year) 2023
Mechanical / Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Mechanical / Science - Mid Year 2023
Mechanical / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Mechanical / Law 2023+ 2023
Mechanical with Space Engineering 2015, 2021, 2022, 2023
Mechanical with Space / Arts (2022 and earlier) 2015, 2021, 2022
Mechanical with Space / Arts 2023+ 2023
Mechanical with Space / Commerce 2015, 2021, 2022
Mechanical with Space / Commerce 2023+ 2023
Mechanical with Space / Science 2015, 2021, 2022, 2023
Mechanical with Space / Science - Mid Year 2023
Mechanical with Space / Law 2015, 2021, 2022
Mechanical with Space / Law 2023+ 2023
Mechanical with Space / Project Management 2019+ 2021, 2022, 2023
Mechanical with Space Engineering (mid-year) 2021, 2022, 2023
Mechatronic Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Mechatronic / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Mechatronic with Space / Project Management 2019+ 2021, 2022, 2023
Mechatronic Engineering 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Mechatronic / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Mechatronic / Arts 2023+ 2023
Mechatronic / Commerce 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Mechatronic / Commerce 2023+ 2023
Mechatronic / Commerce 2023+ (mid-year) 2023
Mechatronic / Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Mechatronic / Science (Health) 2018, 2019, 2020, 2021, 2022
Mechatronic / Science - Mid Year 2023
Mechatronic / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Mechatronic / Law 2023+ 2023
Mechatronic with Space Engineering 2015, 2021, 2022, 2023
Mechatronic with Space / Arts (2022 and earlier) 2015, 2021, 2022
Mechatronic with Space / Arts 2023+ 2023
Mechatronic with Space / Commerce 2015, 2021, 2022
Mechatronic with Space / Commerce 2023+ 2023
Mechatronic with Space / Science 2015, 2021, 2022, 2023
Mechatronic with Space / Law 2015, 2021, 2022
Mechatronic with Space / Law 2023+ 2023
Mechatronic with Space / Science - Mid Year 2023
Mechatronic with Space Engineering (mid-year) 2021, 2022, 2023
Software Engineering (mid-year) 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Software / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Software Engineering 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Software / Arts (2022 and earlier) 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Software / Arts 2023+ 2023
Software / Commerce 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Software / Commerce 2023+ 2023
Software / Project Management 2015, 2016, 2017, 2018
Software / Science 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Software / Science (Health) 2018, 2019, 2020, 2021, 2022
Software / Science - Mid Year 2023
Software / Law 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
Software / Law 2023+ 2023
Mechanical Engineering / Arts 2011, 2012, 2013, 2014
Mechanical Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Mechanical Engineering (Biomedical) / Arts 2011, 2012
Mechanical Engineering (Biomedical) / Commerce 2010, 2011, 2012
Mechanical Engineering (Biomedical) / Medical Science 2010, 2011, 2012
Mechanical Engineering (Biomedical) / Science 2011, 2012
Mechanical Engineering (Biomedical) / Law 2010, 2011, 2012
Mechanical Engineering / Medical Science 2011, 2012, 2013, 2014
Mechanical Engineering / Science 2011, 2012, 2013, 2014
Mechanical Engineering / Law 2010, 2011, 2012, 2013, 2014
Mechanical Engineering (Space) / Arts 2011, 2012, 2013, 2014
Mechanical Engineering (Space) / Commerce 2010, 2011, 2012, 2013, 2014
Mechanical Engineering (Space) / Medical Science 2012, 2013, 2014
Mechanical Engineering (Space) / Science 2011, 2012, 2013, 2014
Mechatronic Engineering / Arts 2011, 2012, 2013, 2014
Mechatronic Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Mechatronic Engineering / Medical Science 2011, 2012, 2013, 2014
Mechatronic Engineering / Science 2011, 2012, 2013, 2014
Mechatronic Engineering (Space) / Arts 2011, 2012, 2013, 2014
Mechatronic Engineering (Space) / Commerce 2010, 2011, 2012, 2013, 2014
Mechatronic Engineering (Space) / Medical Science 2011, 2012, 2013, 2014
Mechatronic Engineering (Space) / Science 2011, 2012, 2013, 2014
Mechatronic Engineering (Space) / Law 2010, 2011, 2012, 2013, 2014
Project Engineering and Management (Civil) / Arts 2011
Project Engineering and Management (Civil) / Commerce 2010, 2011
Project Engineering and Management (Civil) / Science 2011
Software Engineering / Arts 2011, 2012, 2013, 2014
Software Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Software Engineering / Medical Science 2011, 2012, 2013, 2014
Software Engineering / Science 2011, 2012, 2013, 2014
Software Engineering / Law 2010, 2011, 2012, 2013, 2014
Biomedical / Science (Medical Science Stream) 2018, 2019, 2020, 2021, 2022, 2023
Chemical & Biomolecular / Science (Medical Science Stream) 2018, 2019, 2020, 2021, 2022, 2026
Civil / Science (Medical Science Stream) 2018, 2019, 2020, 2021, 2022
Flexible First Year 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Flexible First Year / Science 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023
Flexible First Year / Project Management 2019+ 2019, 2020, 2021, 2022, 2023
Flexible First Year / Arts 2023+ 2023
Flexible First Year / Commerce 2023+ 2023
Flexible First Year / Law 2023+ 2023
Flexible First Year (Stream A) / Arts 2013, 2014
Flexible First Year (Stream A) / Commerce 2011, 2012, 2013, 2014
Flexible First Year (Stream A) / Medical Science 2012, 2013, 2014
Flexible First Year (Stream A) / Science 2012, 2013, 2014
Flexible First Year (Stream B) / Arts 2013, 2014
Flexible First Year (Stream B) / Commerce 2011, 2012, 2013, 2014
Flexible First Year (Stream B) / Science 2012, 2013, 2014
Flexible First Year (Stream B) / Medical Science 2012, 2013, 2014
Mechanical / Science (Medical Science Stream) 2018, 2019, 2020, 2021, 2022
Mechatronic / Science (Medical Science Stream) 2018, 2019, 2020, 2021, 2022
Mechatronic with Space / Science (Medical Science Stream) 2021, 2022
Software / Science (Medical Science Stream) 2018, 2019, 2020, 2021, 2022
Bachelor of Computer Science and Technology 2015, 2016, 2017, 2025

Course Goals

This unit contributes to the achievement of the following course goals:

Attribute Practiced Assessed
Science literacy (mathematical) No 100%

These goals are selected from Engineering & IT Graduate Outcomes Table which defines overall goals for courses where this unit is primarily offered. See Engineering & IT Graduate Outcomes Table for details of the attributes and levels to be developed in the course as a whole. Percentage figures alongside each course goal provide a rough indication of their relative weighting in assessment for this unit. Note that not all goals are necessarily part of assessment. Some may be more about practice activity. See Learning outcomes for details of what is assessed in relation to each goal and Assessment for details of how the outcome is assessed. See Attributes for details of practice provided for each goal.