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. Communication of results, concepts and ideas using mathematics as a language, being able to document the solution to problems in a way that demonstrates a clear, logical and precise approach and working in peer learning teams also feature as appropriate.
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 - 2018
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 and in-class feedback
Tried weekly 2-hour lecture + 2-hour tutorial in T1 of 2017. More students preferred the old 2 x 1-hour lectures and tutorials each week.
Will go back to the old 2 x 1-hour lectures and tutorials each week in 2018.
- Apply interpolation and curve fitting techniques to support the modelling of engineering applications.
- Utilise the concepts of linear transformation and interpretation of eigenvalue problems to analyse problems.
- 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.
- Use mathematics as a language to communicate results, concepts and ideas in context.
- Communicate, work and learn together in peer learning teams where appropriate.
Alignment of Assessment Tasks to Learning Outcomes
| Assessment Tasks | Learning Outcomes | ||||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
| 1 - Written Assessment - 20% | |||||||
| 2 - Group Work - 20% | |||||||
| 3 - Group Work - 20% | |||||||
| 4 - Examination - 40% | |||||||
Alignment of Graduate Attributes to Learning Outcomes
| Graduate Attributes | Learning Outcomes | ||||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | |
| 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 | |||||||
Alignment of Assessment Tasks to Graduate Attributes
| Assessment Tasks | Graduate Attributes | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
| 1 - Written Assessment - 20% | ||||||||||
| 2 - Group Work - 20% | ||||||||||
| 3 - Group Work - 20% | ||||||||||
| 4 - Examination - 40% | ||||||||||
Textbooks
Advanced Mathematics and Applications
Edition: 3rd (2016)
Authors: William .W. Guo
Pearson
Sydney Sydney , NSW , Australia
ISBN: 978 1 4886 1434 7
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.
y.wang2@cqu.edu.au
r.dodd@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
Laplace transforms - 1
Chapter
Sections 2.1-2.2
Events and Submissions/Topic
Exercises 2.1-2.2
Written Assessment Due: Week 4 Thursday (29 Mar 2018) 11:00 pm AEST
Module/Topic
Laplace transforms - 2
Chapter
Sections 2.3-2.4
Events and Submissions/Topic
Exercises 2.3-2.4
Module/Topic
Chapter
Events and Submissions/Topic
Module/Topic
Linear algebra and applications - 1
Chapter
Sections 3.1-3.3
Events and Submissions/Topic
Exercises 3.1-3.3
Module/Topic
Linear algebra and applications - 2
Chapter
Section 3.4
Events and Submissions/Topic
Exercises 3.4
Module/Topic
Numeric methods - 1
Chapter
Sections 4.1-4.2
Events and Submissions/Topic
Exercises 4.1-4.2
Written Assessment Due: Week 8 Tuesday (1 May 2018) 11:00 pm AEST
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
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
Written Assessment Due: Week 12 Thursday (31 May 2018) 11:00 pm AEST
Module/Topic
Chapter
Events and Submissions/Topic
Module/Topic
Chapter
Events and Submissions/Topic
1 Written Assessment
Questions on ODEs covered in Weeks 1-3. Please see the course website for the questions in this assignment.
Week 4 Thursday (29 Mar 2018) 11:00 pm AEST
Week 6 Thursday (19 Apr 2018)
Marked assignments are expected to be returned 2 weeks after the submission deadline.
This is an individual assignment.
The final mark is out of 20. Questions are from contents covered in Weeks 1-3. 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.
- Use mathematics as a language to communicate results, concepts and ideas in context.
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Information Technology Competence
- Cross Cultural Competence
- Ethical practice
2 Group Work
Questions on Laplace transforms, linear algebra and applications covered in Weeks 4-7. Please see the course website for the questions in this assignment.
Week 8 Tuesday (1 May 2018) 11:00 pm AEST
Week 10 Thursday (17 May 2018)
Marked assignments are expected to be returned 2 weeks after the submission deadline.
This is a group assignment. Groups of up to five (5) students are encouraged.
The final mark is out of 20. Questions are from contents covered in Weeks 4-7. 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.
- Utilise the concepts of linear transformation and interpretation of eigenvalue problems to analyse problems.
- Use mathematics as a language to communicate results, concepts and ideas in context.
- Communicate, work and learn together in peer learning teams where appropriate.
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Team Work
- Information Technology Competence
- Ethical practice
3 Group Work
Questions on Numeric methods and Fourier series covered in Weeks 8-11. Please see the course website for the questions in this assignment.
Week 12 Thursday (31 May 2018) 11:00 pm AEST
Review/Exam Week Wednesday (6 June 2018)
It is envisaged that feedback and solutions will be available prior to sitting the standard examination.
This is a group assignment. Groups of up to five (5) students are encouraged.
The final mark is out of 20. Questions are from contents covered in Weeks 8-11. 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.
- Apply interpolation and curve fitting techniques to support the modelling of engineering applications.
- 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.
- Use mathematics as a language to communicate results, concepts and ideas in context.
- Communicate, work and learn together in peer learning teams where appropriate.
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Team Work
- Information Technology Competence
- Ethical practice
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?
