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. Students 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
Prerequisites: MATH12224 Calculus and Linear Algebra B or MATH11219 Applied Calculus
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 2 - 2020
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
Assignment feedback could have been delivered in a more timely fashion.
Unit Coordinator to ensure all marks and work returned within two weeks of submission.
Feedback from Student evaluation
Students had positive remarks on Assessment Requirements and Unit Expectations
Continue to provide the current learning and teaching supports
Feedback from Unit Coordinator reflection
Provide additional supporting communications to students.
Additional weekly communications highlighting unit resources, their availability and expectations for mathematics study will be provided.
- Apply interpolation and curve fitting techniques to support the modelling of scientific and 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 - Written Assessment - 20% | |||||||
| 3 - Written Assessment - 20% | |||||||
| 4 - Take Home Exam - 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 - Written Assessment - 20% | ||||||||||
| 3 - Written Assessment - 20% | ||||||||||
| 4 - Take Home Exam - 40% | ||||||||||
Textbooks
There are no required textbooks.
Additional Textbook Information
New teaching materials will be provided on Moodle weekly.
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
Module/Topic
Unit introduction
Introduction to the new Queensland Mathematics Syllabus
Topic 1: Solving Nonlinear Equation by Newton’s Method
Chapter
New Queensland Mathematics Syllabus
Solving Nonlinear Equation by Newton’s Method
Events and Submissions/Topic
Read notes for Topic 1; Complete Week 1 Exercises
Module/Topic
Topic 2: Interpolations
Chapter
Interpolations
Events and Submissions/Topic
Read notes for Topic 2; Complete Week 2 Exercises
Module/Topic
Topic 3: Curve Fitting by the Least Squares Method
Chapter
Curve Fitting by the Least Squares Method
Events and Submissions/Topic
Read notes for Topic 3; Complete Week 3 Exercises
Module/Topic
Topic 4: Introduction to Ordinary Differential Equations (ODEs)
Chapter
Introduction to Ordinary Differential Equations (ODEs)
Events and Submissions/Topic
Read notes for Topic 4; Complete Week 4 Exercises
Written Assessment Due: Week 4 Friday (7 Aug 2020) 11:59 pm AEST
Module/Topic
Topic 5: First-Order Ordinary Differential Equations
Chapter
First-Order Ordinary Differential Equations
Events and Submissions/Topic
Read notes for Topic 5; Complete Week 5 Exercises
Module/Topic
Chapter
Events and Submissions/Topic
Module/Topic
Topic 6: Numeric Methods for Ordinary Differential Equations
Chapter
Numeric Methods for Ordinary Differential Equations
Events and Submissions/Topic
Read notes for Topic 6; Complete Week 6 Exercises
Module/Topic
Topic 7: 2nd-Order Constant-Coefficient Homogeneous Linear ODEs
Chapter
2nd-Order Constant-Coefficient Homogeneous Linear ODEs
Events and Submissions/Topic
Read notes for Topic 7; Complete Week 7 Exercises
Written Assessment Due: Week 7 Friday (4 Sept 2020) 11:59 pm AEST
Module/Topic
Topic 8: 2nd-Order Constant-Coefficient Inhomogeneous Linear ODEs
Chapter
2nd-Order Constant-Coefficient Inhomogeneous Linear ODEs
Events and Submissions/Topic
Read notes for Topic 8; Complete Week 8 Exercises
Module/Topic
Topic 9: Introduction to Mathematical Modelling
Chapter
Introduction to Mathematical Modelling
Events and Submissions/Topic
Read notes for Topic 9; Complete Week 9 Exercises
Module/Topic
Discussion: Principles and Good Practices of Effective Teaching in Mathematics
Chapter
Selected articles in effective teaching in mathematics
Events and Submissions/Topic
Read the selected articles; participate in online discussions
Written Assessment Due: Week 10 Friday (25 Sept 2020) 11:59 pm AEST
Module/Topic
Discussion: Strategies and Good Practices in Mathematical Learning Assessment
Chapter
Selected articles in effective mathematical learning assessment
Events and Submissions/Topic
Read the selected articles; participate in online discussions
Module/Topic
Exam Preview and Preparation
Chapter
Events and Submissions/Topic
Module/Topic
Chapter
Events and Submissions/Topic
Module/Topic
Chapter
Events and Submissions/Topic
1 Written Assessment
Questions on topics covered in Weeks 1-3. Please see the unit website for the questions in this assignment.
Week 4 Friday (7 Aug 2020) 11:59 pm AEST
Week 6 Friday (28 Aug 2020)
It is envisaged that feedback and solutions will be available in two weeks, or as soon as the process is completed.
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
- Communicate, work, and learn together in peer learning teams where appropriate.
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Team Work
- Information Technology Competence
- Cross Cultural Competence
- Ethical practice
2 Written Assessment
Questions on topics covered in Weeks 4-6. Please see the unit website for the questions in this assignment.
Week 7 Friday (4 Sept 2020) 11:59 pm AEST
Week 9 Friday (18 Sept 2020)
It is envisaged that feedback and solutions will be available in two weeks, or as soon as the process is completed.
The final mark is out of 20. Questions are from contents covered in Weeks 4-6. 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
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Information Technology Competence
- Ethical practice
3 Written Assessment
Questions on topics covered in Weeks 7-9. Please see the unit website for the questions in this assignment.
Week 10 Friday (25 Sept 2020) 11:59 pm AEST
Week 12 Friday (9 Oct 2020)
It is envisaged that feedback and solutions will be available in two weeks, or as soon as the process is completed.
The final mark is out of 20. Questions are from contents covered in Weeks 7-9. 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.
- Apply interpolation and curve fitting techniques to support the modelling of scientific and 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
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Information Technology Competence
- Ethical practice
4 Take Home Exam
Due to uncertainties of recovery post the COVID-19 pandemic, the Standard Examination for Term 2 of 2020 MATH13218 is temporarily replaced by a Take Home Exam. You are given 24 hours to work on the Take Home Exam. During the 24-hour timeframe, you will need to download the exam from the unit’s Moodle website, complete it and upload it back. Detailed instructions for the Take Home Exam will be communicated near the end of Term 2.
The Take Home Exam will be scheduled during the Exam Week.
The results will be made available on Certification of Grades day. Like a regular exam, your marked answer script will not be returned to you, unless you apply to see it as part of the first step of the review of grade process.
This assessment task is open book. You can reference all notes and study materials. Any submission after the deadline will not be accepted. You are required to do your own work, maintaining academic integrity with all honesty. Your submission may be subject to additional verification in the form of an oral defence through interview with the Unit Coordinator (or nominee). Students unable to satisfactorily answer questions about their submitted solution(s) will receive no marks for the question(s).
Answered 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 scientific and 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
- Use mathematics as a language to communicate results, concepts and ideas in context
- Communication
- Problem Solving
- Critical Thinking
- Ethical practice
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?
