Overview
In this unit, you will apply techniques to solve ordinary differential equations (ODEs) from science, engineering, and business domains. You will study the principles of proving for critical thinking and function analysis for logical reasoning in science, engineering and business applications. In this final mathematics unit in the Bachelor of Education (mathematics minor), you will critically analyse strategies and practices in mathematics teaching and assessment design from selected literature.
Details
Pre-requisites or Co-requisites
Prerequisites: MATH12224 Calculus 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 - 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, emails, and in-class feedback
Students appreciated the challenging but enjoyable journey of their mathematics study.
Continue to offer a positive supported learning experience.
- Apply principles of proving for critical thinking
- Use function analysis for logical reasoning in science, engineering, and business applications
- Solve ordinary differential equations with different techniques in science, engineering, and business domains
- Critically analyse strategies and practices in mathematics teaching and assessment design from selected literature.
Alignment of Assessment Tasks to Learning Outcomes
| Assessment Tasks | Learning Outcomes | |||
|---|---|---|---|---|
| 1 | 2 | 3 | 4 | |
| 1 - Written Assessment - 25% | ||||
| 2 - Written Assessment - 25% | ||||
| 3 - Annotated bibliography - 10% | ||||
| 4 - Examination - 40% | ||||
Alignment of Graduate Attributes to Learning Outcomes
| Graduate Attributes | Learning Outcomes | |||
|---|---|---|---|---|
| 1 | 2 | 3 | 4 | |
| 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 - 25% | ||||||||||
| 2 - Written Assessment - 25% | ||||||||||
| 3 - Annotated bibliography - 10% | ||||||||||
| 4 - Examination - 40% | ||||||||||
Textbooks
Advanced Mathematics for Engineering and Applied Sciences
Edition: 4th (2019)
Authors: William Guo & Yucang Wang
Pearson
Melbourne Melbourne , Victoria , Australia
ISBN: 9780655700579
Binding: Paperback
Additional Textbook Information
The textbook is the same book used in MATH13217. If you're new to CQU education mathematics, you may purchase a hard copy of the book from the CQU Bookshop: Advanced Mathematics for Engineering and Applied Sciences (4th Ed) by William Guo and Yucang Wang, published by Pearson in 2019.
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 Ordinary Differential Equations (ODEs)
Chapter
Sections 1.1-1.2.1 in Advanced Mathematics for Engineering and Applied Sciences (4th) (4th AMEAS)
Events and Submissions/Topic
Sections 1.1-1.2.1
Complete Week 1 Exercises
Module/Topic
Separation of Variables
Chapter
Sections 1.2.2-1.2.3 in 4th AMEAS
Events and Submissions/Topic
Sections 1.2.2-1.2.3
Complete Week 2 Exercises
Module/Topic
First-Order Ordinary Linear Differential Equations (ODEs)
Chapter
Section 1.3 in 4th AMEAS
Events and Submissions/Topic
Section 1.3
Complete Week 3 Exercises
Module/Topic
Numeric Methods for Ordinary Differential Equations
Chapter
Section 4.4.1 in 4th AMEAS
Events and Submissions/Topic
Section 4.4.1
Complete Week 4 Exercises
Module/Topic
2nd-Order Constant-Coefficient Homogeneous Linear ODEs
Chapter
Sections 1.4.1-1.4.2 in 4th AMEAS
Events and Submissions/Topic
Sections 1.4.1-1.4.2
Complete Week 5 Exercises
Assignment 1 Due: Week 5 Friday (11 Aug 2023) 11:59 pm AEST
Module/Topic
Chapter
Events and Submissions/Topic
Module/Topic
2nd-Order Constant-Coefficient Inhomogeneous Linear ODEs (1)
Chapter
Section 1.4.3 in 4th AMEAS
Events and Submissions/Topic
Section 1.4.3
Complete Week 6 Exercises
Module/Topic
2nd-Order Constant-Coefficient Inhomogeneous Linear ODEs (2)
Chapter
Section 1.4.3 in 4th AMEAS
Events and Submissions/Topic
Section 1.4.3
Complete Week 7 Exercises
Module/Topic
Euler Equations and Systems of Linear ODEs
Chapter
Section 1.5 in 4th AMEAS
Events and Submissions/Topic
Section 1.5
Complete Week 8 Exercises
Module/Topic
Introduction to Mathematical Modelling
Chapter
Section 1.6 (selected applications) in 4th AMEAS
Events and Submissions/Topic
Section 1.6
Complete Week 9 Exercises
Module/Topic
Literature analysis: 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; prepare annotated bibliography (Part A)
Assignment 2 Due: Week 10 Friday (22 Sept 2023) 11:59 pm AEST
Module/Topic
Literature analysis: Strategies and Good Practices in Mathematical Learning Assessment
Chapter
Selected articles in effective mathematical learning assessment
Events and Submissions/Topic
Read the selected articles; prepare annotated bibliography (Part B)
Module/Topic
Exam Preview and Preparation
Chapter
Exam Preview and Preparation
Events and Submissions/Topic
Module/Topic
Chapter
Events and Submissions/Topic
Module/Topic
Chapter
Events and Submissions/Topic
1 Written Assessment
This is an individual assignment.
Questions on topics covered in Weeks 1-4. Please see the unit website for the questions in this assignment.
Week 5 Friday (11 Aug 2023) 11:59 pm AEST
Week 7 Friday (1 Sept 2023)
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 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.
- Apply principles of proving for critical thinking
- Use function analysis for logical reasoning in science, engineering, and business applications
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Information Technology Competence
2 Written Assessment
This is an individual assignment.
Questions on topics covered in Weeks 5-9. Please see the unit website for the questions in this assignment.
Week 10 Friday (22 Sept 2023) 11:59 pm AEST
Week 12 Friday (6 Oct 2023)
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 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.
- Solve ordinary differential equations with different techniques in science, engineering, and business domains
- Communication
- Problem Solving
- Critical Thinking
- Information Literacy
- Information Technology Competence
3 Annotated bibliography
This is an individual assignment.
Students will be assigned a few selected references in mathematics teaching and learning assessment for analyzing. The outcomes of analysis should be documented as a concise and insightful report in the form of annotated bibliography for submission.
Review/Exam Week Wednesday (11 Oct 2023) 11:59 pm AEST
Upon lodging a formal request for extension, students would have a chance to be granted an extension up to two weeks. Should you do so, be aware of potential interference to your exam during this period.
It is envisaged that the feedback and marks will be available as soon as the latest submissions are marked.
The final mark for this assignment is out of 10. The report should be comprised of two parts for mathematics teaching and learning assessment, respectively. Each part is expected to be within 500-1000 words. Extra long or far short report is not encouraged as the selected references would focus on certain issues.
Marks are awarded based on: 1) the level of your understanding of the approach, the practice, the experience, the issue, the points or alike proposed/shared/raised in the reference; 2) your OWN comments on or opinions/thoughts/criticism of the reported outcomes (could be methods, conclusions, opinions, positions, claims etc.); 3) your OWN reflection on whether anything reported in the reference would be adoptable to or modifiable for your current or future teaching and learning practices.
Please note that your position (agree, partly agree or disagree) on the reference is not part of the marking criteria. It is your logical discourse, or insightful analysis, or evidence-based articulation that is more important. Simply disagreeing/agreeing to the outcomes of a reference without your own reflection is not good enough.
- Critically analyse strategies and practices in mathematics teaching and assessment design from selected literature.
- 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?
