Overview
Techniques of advanced mathematics and applications are developed through a selection of various methods to solve linear and non-linear differential equations in science and engineering. You will study interpolation, curve fitting, and utilise the concepts of linear transformations and interpretation of eigenvalues to analyse a variety of scientific and engineering problems. Numerical methods for solving ordinary differential equations, the Fourier Analysis of periodic and non-periodic functions and partial differential equations with initial and boundary conditions are included. You will communicate results, concepts and ideas using mathematics as a language and be able to document the solution to problems in a way that demonstrates a clear, logical and precise approach.
Details
Pre-requisites or Co-requisites
Pre-requisite: MATH11219
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 - 2022
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 Student evaluation
Sufficient learning & teaching material provided.
Provide the same amount of learning resources.
Feedback from Student evaluation
Good split of exams and assignments.
Continue to maintain a similar mix of assessment items.
Feedback from In class
It would be better to have face-to-face tutorial support.
Look into providing face-to-face on-campus tutorial support.
Feedback from In-class
Students were appreciative for providing individual attention, keeping frequent engagement, providing the tutorial solutions with appropriate scaffolding.
Continue to provide individual support, and add guidelines to students on how to seek individual support so all students can take advantage of it.
- Model engineering application problems by applying interpolation and curve fitting techniques
- Analyse problems using the concepts of linear transformation and the interpretation of eigenvalues
- Use numerical methods to solve ordinary differential equations
- Apply Fourier Analysis to periodic and non-periodic functions in the solution of scientific and engineering problems
- Solve simple partial differential equations with initial and boundary conditions
- Communicate results, concepts and ideas in context using mathematics as a language.
The Learning Outcomes for this unit are linked with the Engineers Australia Stage 1 Competency Standards for Professional Engineers in the areas of 1. Knowledge and Skill Base, 2. Engineering Application Ability and 3. Professional and Personal Attributes at the following levels:
Introductory
1.4 Discernment of knowledge development and research directions within the engineering discipline. (LO: 1N 3N)
2.3 Application of systematic engineering synthesis and design processes. (LO: 1N)
Intermediate
1.1 Comprehensive, theory-based understanding of the underpinning natural and physical sciences and the engineering fundamentals applicable to the engineering discipline. (LO: 1I 2I 3I 4I 5N)
1.5 Knowledge of engineering design practice and contextual factors impacting the engineering discipline. (LO: 1I 2I 3I 4I)
2.2 Fluent application of engineering techniques, tools and resources. (LO: 1I 2I 3I 4N 5N)
3.2 Effective oral and written communication in professional and lay domains. (LO: 6I)
3.4 Professional use and management of information. (LO: 6I)
Advanced
1.2 Conceptual understanding of the mathematics, numerical analysis, statistics, and computer and information sciences which underpin the engineering discipline. (LO: 1A 2A 3A 4A 5I 6I)
1.3 In-depth understanding of specialist bodies of knowledge within the engineering discipline. (LO: 1I 3I 4A 5I)
1.6 Understanding of the scope, principles, norms, accountabilities and bounds of sustainable engineering practice in the specific discipline. (LO: 1A)
2.1 Application of established engineering methods to complex engineering problem solving. (LO: 1I 2A 3I 4I 5N)
Note: LO refers to the Learning Outcome number(s) which link to the competency and the levels: N – Introductory, I – Intermediate and A - Advanced.
Refer to the Engineering Undergraduate Course Moodle site for further information on the Engineers Australia's Stage 1 Competency Standard for Professional Engineers and course level mapping information https://moodle.cqu.edu.au/course/view.php?id=1511
Alignment of Assessment Tasks to Learning Outcomes
| Assessment Tasks | Learning Outcomes | |||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | |
| 1 - Written Assessment - 20% | ||||||
| 2 - Written Assessment - 20% | ||||||
| 3 - Examination - 60% | ||||||
Alignment of Graduate Attributes to Learning Outcomes
| Graduate Attributes | Learning Outcomes | |||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | |
| 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 - Aboriginal and Torres Strait Islander Cultures | ||||||
Textbooks
Advanced Mathematics for Engineering and Applied Sciences
Fourth Edition (2019)
Authors: William W. Guo, Yucang Wang
Pearson
Melbourne Melbourne , VIC , Australia
ISBN: 9780655700579
Binding: Paperback
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.
s.desilva@cqu.edu.au
Module/Topic
Ordinary differential equations (ODEs) - 1
Chapter
Sections 1.1-1.3
Events and Submissions/Topic
Exercises 1.1-1.3
Module/Topic
Ordinary differential equations (ODEs) - 2
Chapter
Section 1.4
Events and Submissions/Topic
Exercises 1.4
Module/Topic
Ordinary differential equations (ODEs) - 3
Chapter
Sections 1.5-1.6
Events and Submissions/Topic
Exercises 1.5-1.6
Module/Topic
Linear algebra and applications - 1
Chapter
Sections 2.1-2.3
Events and Submissions/Topic
Exercises 2.1-2.3
Module/Topic
Linear algebra and applications - 2
Chapter
Section 2.4
Events and Submissions/Topic
Exercises 2.4
Module/Topic
Chapter
Events and Submissions/Topic
Module/Topic
Laplace transforms - 1
Chapter
Sections 3.1-3.2
Events and Submissions/Topic
Exercises 3.1-3.2
Written Assessment Due: Week 6 Wednesday (20 Apr 2022) 11:00 pm AEST
Module/Topic
Laplace transforms - 2
Chapter
Sections 3.3-3.4
Events and Submissions/Topic
Exercises 3.3-3.4
Module/Topic
Numeric methods - 1
Chapter
Sections 4.1-4.2
Events and Submissions/Topic
Exercises 4.1-4.2
Module/Topic
Numeric methods - 2
Chapter
Sections 4.3-4.4
Events and Submissions/Topic
Exercises 4.3-4.4
Module/Topic
Fourier series - 1
Chapter
Sections 5.1- 5.2
Events and Submissions/Topic
Exercises 5.1-5.2
Written Assessment Due: Week 10 Wednesday (18 May 2022) 11:00 pm AEST
Module/Topic
Fourier series - 2
Chapter
Sections 5.3-5.4
Events and Submissions/Topic
Exercises 5.3-5.4
Module/Topic
Partial differential equations (PDEs)
Chapter
Sections 6.1-6.2 + Review
Events and Submissions/Topic
Exercises 6.1
Module/Topic
Chapter
Events and Submissions/Topic
Module/Topic
Chapter
Events and Submissions/Topic
1 Written Assessment
Questions on ODEs and linear algebra covered in Weeks 1-5. Please see the unit website for the questions in this assignment.
Week 6 Wednesday (20 Apr 2022) 11:00 pm AEST
Week 8 Wednesday (4 May 2022)
We strive to release the assessment marks in 2 weeks after due date.
This is an individual assignment.
The final mark is out of 20. Questions are from contents covered in Weeks 1-5. Questions are awarded 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.
- Analyse problems using the concepts of linear transformation and the interpretation of eigenvalues
- Communicate results, concepts and ideas in context using mathematics as a language.
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Information Technology Competence
2 Written Assessment
Questions on Laplace transforms and and Numeric methods covered in Weeks 6-9. Please see the unit website for the questions in this assignment.
Week 10 Wednesday (18 May 2022) 11:00 pm AEST
Week 12 Wednesday (1 June 2022)
We strive to release the assessment marks in 2 weeks after due date.
This is an individual assignment.
The final mark is out of 20. Questions are from contents covered in Weeks 6-9. 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.
- Model engineering application problems by applying interpolation and curve fitting techniques
- Use numerical methods to solve ordinary differential equations
- Communicate results, concepts and ideas in context using mathematics as a language.
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Information Technology Competence
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?
