Course Coordinator:Samuel Stephen (sstephen3@usc.edu.au) School:School of Science, Technology and Engineering
UniSC Sunshine CoastUniSC Moreton Bay |
Blended learning | Most of your course is on campus but you may be able to do some components of this course online. |
Please go to unisc.edu.au for up to date information on the
teaching sessions and campuses where this course is usually offered.
In this course you will be introduced to differential equations and other mathematical methods which can be used to explore and model situations in the physical, biological and engineering sciences. The course includes derivation, application, solution techniques, and evaluation of mathematical models using first order, second order, and nth order ordinary and partial differential equations that you will be able to apply in a range of contexts.
| Activity | Hours | Beginning Week | Frequency |
| Blended learning | |||
| Learning materials – You are required to engage and interact with asynchronous materials and activities accessed through Canvas modules, course readings and textbook activities. | 1hr | Week 1 | 12 times |
| Tutorial/Workshop 1 – A blended learning approach is used to deliver the tutorial/workshop component of this course. The tutorial/workshop is synchronous with on-campus engagement and application of learning materials. | 2hrs | Week 1 | 12 times |
Classification and solution methods for, and applications of first order differential equations
Classification and solution methods for, and applications of second order differential equations
An introduction to applications and solutions of partial differential
The Laplace Transform and its uses
Interpreting differential equations in the literature
300 Level (Graduate)
12 units
| Course Learning Outcomes On successful completion of this course, you should be able to... | Graduate Qualities Completing these tasks successfully will contribute to you becoming... | |
| 1 | Recall, explain and apply the theory, tools and techniques of topics related to differential equations. |
Knowledgeable Empowered |
| 2 | Select and combine mathematical tools and techniques to solve mathematical problems in mathematics and science. |
Creative and critical thinker Empowered |
| 3 | Communicate concepts and techniques relevant to the use of applied mathematics, using both written English and mathematical notations, as appropriate. |
Knowledgeable Empowered |
| 4 | Interpret mathematics in the literature. |
Creative and critical thinker Empowered |
Refer to the UniSC Glossary of terms for definitions of “pre-requisites, co-requisites and anti-requisites”.
MTH202 or MTH104
Not applicable
MTH522
Not applicable
Not applicable
Standard Grading (GRD)
| High Distinction (HD), Distinction (DN), Credit (CR), Pass (PS), Fail (FL). |
Early feedback on progress will be provided in tutorial time in the first 3 weeks.
| Delivery mode | Task No. | Assessment Product | Individual or Group | Weighting % | What is the duration / length? | When should I submit? | Where should I submit it? |
| All | 1a | Oral | Individual | 20% | 10 minutes |
Week 4 | In Class |
| All | 1b | Written Piece | Individual | 20% | 10 x set problems |
Week 8 | Online Submission |
| All | 2 | Written Piece | Group | 20% | 1000 words |
Week 11 | Online Assignment Submission with plagiarism check |
| All | 3 | Examination - Centrally Scheduled | Individual | 40% | 2 hours |
Exam Period | Exam Venue |
| All - Assessment Task 1a:Assignment | |||||||||||||
| Goal: | Students successfully completing this task will have demonstrated an understanding of the modelling process with differential equations and applied this knowledge to a real world problem. |
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| Product: | Oral | ||||||||||||
| Authorship Statement: | |||||||||||||
| Format: | Students will negotiate a problem to present to the tutorial group with the tutor. Each student will have 10 minutes to present their solution to the class. |
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| Criteria: |
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| Generic Skills: | Communication, Problem solving, Applying technologies |
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| All - Assessment Task 1b:Assignment Worked examples | |||||||||||||
| Goal: | Students successfully completing this task will have demonstrated an understanding of the modelling process with differential equations and applied this knowledge to real-world problems. |
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| Product: | Written Piece | ||||||||||||
| Authorship Statement: | |||||||||||||
| Format: | Solutions to selected skill and application-based problems. Questions will be given in week 5. To be submitted during the scheduled tutorial class and/or uploaded to Canvas. |
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| Criteria: |
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| Generic Skills: | Communication, Problem solving |
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| All - Assessment Task 2:Written report | |||||||||||||
| Goal: | Students successfully completing this task will write an interpretation of an article including differential equations as a solution to a real-world problem |
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| Product: | Written Piece | ||||||||||||
| Authorship Statement: | |||||||||||||
| Format: | A written report submitted to Canvas. In groups of 2 or 3 students you will choose an article from Nature from those provided on Canvas and write an article for an undergraduate magazine that explains the mathematics used. |
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| Criteria: |
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| Generic Skills: | Communication, Collaboration, Information literacy |
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| All - Assessment Task 3:End of trimester exam | |||||||||||||
| Goal: | The end of trimester examination gives you an opportunity to demonstrate your knowledge, understanding and skills associated with the learning outcomes of the course. |
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| Product: | Examination - Centrally Scheduled | ||||||||||||
| Authorship Statement: | |||||||||||||
| Format: | Individual Solutions to selected skill and application based problems. |
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| Criteria: |
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| Generic Skills: | |||||||||||||
A 12-unit course will have total of 150 learning hours which will include directed study hours (including online if required), self-directed learning and completion of assessable tasks. Student workload is calculated at 12.5 learning hours per one unit.
Please note: Course information, including specific information of recommended readings, learning activities, resources, weekly readings, etc. are available on the course Canvas site– Please log in as soon as possible.
You need regular access to the resource(s) below. Many texts are available as ebooks through the Library at no additional cost.
| Required? | Author | Year | Title | Edition | Publisher |
| Required | Bronson, R. and Costa, G.B | 2014 | Schaum's Outline of Differential Equations | 4th | McGraw-Hill Education |
Not applicable
Academic integrity is the ethical standard of university participation. It ensures that students graduate as a result of proving they are competent in their discipline. This is integral in maintaining the value of academic qualifications. Each industry has expectations and standards of the skills and knowledge within that discipline and these are reflected in assessment.
Academic integrity means that you do not engage in any activity that is considered to be academic fraud; including plagiarism, collusion or outsourcing any part of any assessment item to any other person. You are expected to be honest and ethical by completing all work yourself and indicating in your work which ideas and information were developed by you and which were taken from others. You cannot provide your assessment work to others. You are also expected to provide evidence of wide and critical reading, usually by using appropriate academic references.
In order to minimise incidents of academic fraud, this course may require that some of its assessment tasks, when submitted to Canvas, are electronically checked through Turnitin. This software allows for text comparisons to be made between your submitted assessment item and all other work to which Turnitin has access.
Eligibility for Supplementary Assessment
Your eligibility for supplementary assessment in a course is dependent of the following conditions applying:
(a) The final mark is in the percentage range 47% to 49.4%; and
(b) The course is graded using the Standard Grading scale
Your eligibility for supplementary assessment in a course is dependent of the following conditions applying: The final mark is in the percentage range 47% to 49.4% The course is graded using the Standard Grading scale You have not failed an assessment task in the course due to academic misconduct
Late submissions may be penalised up to and including the following maximum percentage of the assessment task’s identified value, with weekdays and weekends included in the calculation of days late:
(a) One day: deduct 5%;
(b) Two days: deduct 10%;
(c) Three days: deduct 20%;
(d) Four days: deduct 40%;
(e) Five days: deduct 60%;
(f) Six days: deduct 80%;
(g) Seven days: A result of zero is awarded for the assessment task.
The following penalties will apply for a late submission for an online examination:
Less than 15 minutes: No penalty
From 15 minutes to 30 minutes: 20% penalty
More than 30 minutes: 100% penalty
For more information on Academic Learning & Teaching categories including:
For more information, visit https://www.usc.edu.au/explore/policies-and-procedures#academic-learning-and-teaching
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