Overview
The unit covers topics in linear algebra, vectors and complex numbers. You will study matrices and operations, systems of linear equations, and different techniques to solve linear systems. You will also study vectors and operations in the 2D plane and 3D space, and applications in scientific analysis and modelling. Complex numbers and applications will be investigated in this unit too. A focus of this unit is to link linear algebra, vectors and complex numbers to contexts in science and engineering subjects in schools.
Details
Pre-requisites or Co-requisites
Prerequisite: MATH12224 Anti-requisite: MATH12172
Important note: Students enrolled in a subsequent unit who failed their pre-requisite unit, should drop the subsequent unit before the census date or within 10 working days of Fail grade notification. Students who do not drop the unit in this timeframe cannot later drop the unit without academic and financial liability. See details in the Assessment Policy and Procedure (Higher Education Coursework).
Offerings For Term 1 - 2023
Attendance Requirements
All on-campus students are expected to attend scheduled classes - in some units, these classes are identified as a mandatory (pass/fail) component and attendance is compulsory. International students, on a student visa, must maintain a full time study load and meet both attendance and academic progress requirements in each study period (satisfactory attendance for International students is defined as maintaining at least an 80% attendance record).
Recommended Student Time Commitment
Each 6-credit Undergraduate unit at CQUniversity requires an overall time commitment of an average of 12.5 hours of study per week, making a total of 150 hours for the unit.
Class Timetable
Assessment Overview
Assessment Grading
This is a graded unit: your overall grade will be calculated from the marks or grades for each assessment task, based on the relative weightings shown in the table above. You must obtain an overall mark for the unit of at least 50%, or an overall grade of 'pass' in order to pass the unit. If any 'pass/fail' tasks are shown in the table above they must also be completed successfully ('pass' grade). You must also meet any minimum mark requirements specified for a particular assessment task, as detailed in the 'assessment task' section (note that in some instances, the minimum mark for a task may be greater than 50%). Consult the University's Grades and Results Policy for more details of interim results and final grades.
All University policies are available on the CQUniversity Policy site.
You may wish to view these policies:
- Grades and Results Policy
- Assessment Policy and Procedure (Higher Education Coursework)
- Review of Grade Procedure
- Student Academic Integrity Policy and Procedure
- Monitoring Academic Progress (MAP) Policy and Procedure - Domestic Students
- Monitoring Academic Progress (MAP) Policy and Procedure - International Students
- Student Refund and Credit Balance Policy and Procedure
- Student Feedback - Compliments and Complaints Policy and Procedure
- Information and Communications Technology Acceptable Use Policy and Procedure
This list is not an exhaustive list of all University policies. The full list of University policies are available on the CQUniversity Policy site.
Feedback, Recommendations and Responses
Every unit is reviewed for enhancement each year. At the most recent review, the following staff and student feedback items were identified and recommendations were made.
Feedback from Unit Evaluation
Students appreciated the support offered to the small number of enrolled students as a whole or individually during the course
Continue to offer a positive supported learning experience
- Represent and solve mathematical and scientific problems using matrices and matrix operators
- Solve systems of linear equations using different techniques of linear algebra
- Analyse geometric relationships and kinematic behaviours of motion using vectors
- Solve geometric and scientific problems using complex numbers
- Communicate results, concepts and ideas in context using mathematics as a language.
Alignment of Assessment Tasks to Learning Outcomes
| Assessment Tasks | Learning Outcomes | ||||
|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |
| 1 - Written Assessment - 25% | |||||
| 2 - Written Assessment - 25% | |||||
| 3 - Examination - 50% | |||||
Alignment of Graduate Attributes to Learning Outcomes
| Graduate Attributes | Learning Outcomes | ||||
|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |
| 1 - Communication | |||||
| 2 - Problem Solving | |||||
| 3 - Critical Thinking | |||||
| 4 - Information Literacy | |||||
| 5 - Team Work | |||||
| 6 - Information Technology Competence | |||||
| 7 - Cross Cultural Competence | |||||
| 8 - Ethical practice | |||||
| 9 - Social Innovation | |||||
| 10 - First Nations Knowledges | |||||
| 11 - Aboriginal and Torres Strait Islander Cultures | |||||
Textbooks
Advanced Mathematics for Engineering and Applied Sciences
- 4th edition (2019)
- Authors: William Guo and Yucang Wang
- Pearson Australia
- Melbourne Melbourne , Victoria , Australia
- ISBN: 9780655700579
- Binding: Paperback
Essentials and Examples of Applied Mathematics
- Edition: 2nd Ed (2021)
- Authors: William Guo
- Pearson Australia
- Melbourne Melbourne , Victoria , Australia
- ISBN: 9780655703624
- Binding: Paperback
Additional Textbook Information
This is the same textbook students used for MATH11246/12223/12224 in 2021 and 2022.
IT Resources
- CQUniversity Student Email
- Internet
- Unit Website (Moodle)
All submissions for this unit must use the referencing style: Harvard (author-date)
For further information, see the Assessment Tasks.
w.guo@cqu.edu.au
Week 1
Begin Date: 06 Mar 2023Module/Topic
Unit introduction
Fundamentals of matrices
Chapter
Textbook - Advanced Mathematics for Engineering and Applied Sciences (4th Ed.): Sections 2.1.1-2.1.2.1
Events and Submissions/Topic
Read Sections 2.1.1-2.1.2.1
Complete Week 1 exercises
Week 2
Begin Date: 13 Mar 2023Module/Topic
Matrix multiplications
Chapter
Textbook - Advanced Mathematics for Engineering and Applied Sciences (4th Ed.): Section 2.1.2.2
Events and Submissions/Topic
Read Section 2.1.2.2
Complete Week 2 exercises
Week 3
Begin Date: 20 Mar 2023Module/Topic
Determinants and basic operations
Chapter
Textbook - Advanced Mathematics for Engineering and Applied Sciences (4th Ed.): Section 2.1.3
Events and Submissions/Topic
Read Section 2.1.3
Complete Week 3 exercises
Week 4
Begin Date: 27 Mar 2023Module/Topic
The inverse of a matrix
Chapter
Textbook - Advanced Mathematics for Engineering and Applied Sciences (4th Ed.): Section 2.1.4
Events and Submissions/Topic
Read Section 2.1.4
Complete Week 4 exercises
Week 5
Begin Date: 03 Apr 2023Module/Topic
Linear systems and Cramer’s rule
Chapter
Textbook - Advanced Mathematics for Engineering and Applied Sciences (4th Ed.): Sections 2.2.1-2.2.3
Events and Submissions/Topic
Read Sections 2.2.1-2.2.3
Complete Week 5 exercises
Vacation Week
Begin Date: 10 Apr 2023Module/Topic
Vacation Week (no class)
Chapter
Events and Submissions/Topic
Week 6
Begin Date: 17 Apr 2023Module/Topic
Gauss elimination and the method of inverse matrix
Chapter
Textbook - Advanced Mathematics for Engineering and Applied Sciences (4th Ed.): Sections 2.2.4-2.2.5
Events and Submissions/Topic
Read Sections 2.2.4-2.2.5
Complete Week 6 exercises
Week 7
Begin Date: 24 Apr 2023Module/Topic
Concepts and properties of vectors
Chapter
Textbook for MATH11246 (used in 2021/2022) - Essentials and Examples of Applied Mathematics (2nd Ed.): Sections 8.1.1-8.1.2
Events and Submissions/Topic
Read Sections 8.1.1-8.1.2
Complete Week 7 exercises
Assignment 1 Due: Week 7 Wednesday (26 Apr 2023) 11:59 pm AEST
Week 8
Begin Date: 01 May 2023Module/Topic
Multiplications of vectors
Chapter
Textbook for MATH11246 (used in 2021/2022) - Essentials and Examples of Applied Mathematics (2nd Ed.): Section 8.1.3
Events and Submissions/Topic
Read Section 8.1.3
Complete Week 8 exercises
Week 9
Begin Date: 08 May 2023Module/Topic
Applications of vectors
Chapter
Textbook for MATH11246 (used in 2021/2022) - Essentials and Examples of Applied Mathematics (2nd Ed.): Sections 8.2
Events and Submissions/Topic
Read Section 8.2
Complete Week 9 exercises
Week 10
Begin Date: 15 May 2023Module/Topic
Complex numbers in rectangular systems and applications
Chapter
Textbook for MATH11246 (used in 2021/2022) - Essentials and Examples of Applied Mathematics (2nd Ed.): Sections 9.1 & 9.4.1-9.4.2
Events and Submissions/Topic
Read Sections 9.1 & 9.4.1-9.4.2
Complete Week 10 exercises
Week 11
Begin Date: 22 May 2023Module/Topic
Complex numbers in other systems
Chapter
Textbook for MATH11246 (used in 2021/2022) - Essentials and Examples of Applied Mathematics (2nd Ed.): Sections 9.2-9.3
Events and Submissions/Topic
Read Sections 9.2-9.3
Complete Week 11 exercises
Week 12
Begin Date: 29 May 2023Module/Topic
Unit review and examination preparation
Chapter
Events and Submissions/Topic
Review/Exam Week
Begin Date: 05 Jun 2023Module/Topic
Chapter
Events and Submissions/Topic
Exam Week
Begin Date: 12 Jun 2023Module/Topic
Chapter
Events and Submissions/Topic
1 Written Assessment
This is an individual assignment. This assignment is to test student's learning outcomes of topics studied in Weeks 1-6. The assignment details are provided on the Moodle website.
Week 7 Wednesday (26 Apr 2023) 11:59 pm AEST
Week 9 Wednesday (10 May 2023)
It is envisaged that feedback and solutions will be available in two weeks, or as soon as the marking process is completed.
- The final mark is out of 25. Questions are awarded the full marks allocated if they are error-free, partial marks if there are some problems, and no marks if not attempted or contain so many errors as to render the attempt to be without value. To ensure maximum benefit, answers to all questions should be neatly and clearly presented and all appropriate working should be shown. Assignments will receive NO marks if submitted after the solutions are released.
- Due to the increasing number of cases where mathematical solutions can be obtained from software packages, the working that does not follow the approaches taught in this unit will not attract any credit against the question even the solution is correct.
- Represent and solve mathematical and scientific problems using matrices and matrix operators
- Solve systems of linear equations using different techniques of linear algebra
- Communicate results, concepts and ideas in context using mathematics as a language.
2 Written Assessment
This is an individual assignment. This assignment is to test student's learning outcomes of topics studied in Weeks 7-11. The assignment details are provided on the Moodle website.
Week 12 Wednesday (31 May 2023) 11:59 pm AEST
Review/Exam Week Wednesday (7 June 2023)
It is envisaged that the feedback and solutions will be available before the exam if all students submitted this assignment on time.
- The final mark is out of 25. Questions are awarded the full marks allocated if they are error-free, partial marks if there are some problems, and no marks if not attempted or contain so many errors as to render the attempt to be without value. To ensure maximum benefit, answers to all questions should be neatly and clearly presented and all appropriate working should be shown. Assignments will receive NO marks if submitted after the solutions are released.
- Due to the increasing number of cases where mathematical solutions can be obtained from software packages, the working that does not follow the approaches taught in this unit will not attract any credit against the question even the solution is correct.
- Analyse geometric relationships and kinematic behaviours of motion using vectors
- Solve geometric and scientific problems using complex numbers
- Communicate results, concepts and ideas in context using mathematics as a language.
Examination
Calculator - all non-communicable calculators, including scientific, programmable and graphics calculators are authorised
As a CQUniversity student you are expected to act honestly in all aspects of your academic work.
Any assessable work undertaken or submitted for review or assessment must be your own work. Assessable work is any type of work you do to meet the assessment requirements in the unit, including draft work submitted for review and feedback and final work to be assessed.
When you use the ideas, words or data of others in your assessment, you must thoroughly and clearly acknowledge the source of this information by using the correct referencing style for your unit. Using others’ work without proper acknowledgement may be considered a form of intellectual dishonesty.
Participating honestly, respectfully, responsibly, and fairly in your university study ensures the CQUniversity qualification you earn will be valued as a true indication of your individual academic achievement and will continue to receive the respect and recognition it deserves.
As a student, you are responsible for reading and following CQUniversity’s policies, including the Student Academic Integrity Policy and Procedure. This policy sets out CQUniversity’s expectations of you to act with integrity, examples of academic integrity breaches to avoid, the processes used to address alleged breaches of academic integrity, and potential penalties.
What is a breach of academic integrity?
A breach of academic integrity includes but is not limited to plagiarism, self-plagiarism, collusion, cheating, contract cheating, and academic misconduct. The Student Academic Integrity Policy and Procedure defines what these terms mean and gives examples.
Why is academic integrity important?
A breach of academic integrity may result in one or more penalties, including suspension or even expulsion from the University. It can also have negative implications for student visas and future enrolment at CQUniversity or elsewhere. Students who engage in contract cheating also risk being blackmailed by contract cheating services.
Where can I get assistance?
For academic advice and guidance, the Academic Learning Centre (ALC) can support you in becoming confident in completing assessments with integrity and of high standard.
What can you do to act with integrity?
