Unit convenor and teaching staff |
Unit convenor and teaching staff
Lecturer/Convenor
Elena Vynogradova
Contact via Email
12 Wally's Walk 709
See iLearn for consultation hours
Frank Schoenig
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Credit points |
Credit points
3
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Prerequisites |
Prerequisites
MATH133 or MATH136
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Corequisites |
Corequisites
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Co-badged status |
Co-badged status
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Unit description |
Unit description
This unit develops techniques and skills that are fundamental in the study and application of mathematics at an advanced level. In any successful application, two contrasting but complementary skills must be developed: the ability to formulate a given real-world problem in appropriate mathematical terms; and sufficient knowledge to obtain useful information and testable predictions from that model, by analytical and numerical means. The unit shows how differential equations arise as mathematical models of such real phenomena in science, engineering and the social sciences, and introduces some tools including Fourier series for the study and eventual solution of these equations. Maps arising from discrete time models are also introduced. Fourier series and transforms are particularly useful in those situations where the system response (and indeed many functions) can be seen as a complex sum of simpler vibrations or oscillations. Numerical techniques are briefly discussed; they are essential when analytical methods fail, or provide only limited information about the model.
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Information about important academic dates including deadlines for withdrawing from units are available at https://www.mq.edu.au/study/calendar-of-dates
On successful completion of this unit, you will be able to:
HURDLES: This unit has no hurdle requirements.
ATTENDANCE and PARTICIPATION: Please contact the unit convenor as soon as possible if you have difficulty attending and participating in any classes. There may be alternatives available to make up the work. If there are circumstances that mean you miss a class, you can apply for a Special Consideration.
ASSIGNMENT SUBMISSION: Assignment submission will be online through the iLearn page. The following information is also available on the iLearn page:
Submit assignments online via the appropriate assignment link on the iLearn page. A personalised cover sheet is not required with online submissions. Read the submission statement carefully before accepting it as there are substantial penalties for making a false declaration.
• Assignment submission is via iLearn. You should upload this as a single scanned PDF file.
• Please note the quick guide on how to upload your assignments in the link above.
• Please make sure that each page in your uploaded assignment corresponds to only one A4 page (do not upload an A3 page worth of content as an A4 page in landscape). If you are using an app like Clear Scanner, please make sure that the photos you are using are clear and shadow-free.
• It is your responsibility to make sure your assignment submission is legible.
• If there are technical obstructions to your submitting online, please email us to let us know.
You may submit as often as required prior to the due date/time. Please note that each submission will completely replace any previous submissions. It is in your interests to make frequent submissions of your partially completed work as insurance against technical or other problems near the submission deadline.
LATE SUBMISSION OF WORK: All assignments or assessments must be submitted by the official due date and time. No marks will be given to late work unless an extension has been granted following a successful application for Special Consideration. Please contact the unit convenor for advice as soon as you become aware that you may have difficulty meeting any of the assignment deadlines. It is in your interests to make frequent submissions of your partially completed work. Note that later submissions completely replace any earlier submission, and so only the final submission made before the due date will be marked.
FINAL EXAM POLICY: examinations for individuals or groups of students. All students are expected to ensure that they are available until the end of the teaching semester, that is, the final day of the official examination period. The only excuse for not sitting an examination at the designated time is because of documented illness or unavoidable disruption. In these special circumstances, you may apply for special consideration via ask.mq.edu.au.
SUPPLEMENTARY EXAMINATIONS:
IMPORTANT: If you receive special consideration for the final exam, a supplementary exam will be scheduled in the interval between the regular exam period and the start of the next session. If you apply for special consideration, you must give the supplementary examination priority over any other pre-existing commitments, as such commitments will not usually be considered an acceptable basis for a second application for special consideration. Please ensure you are familiar with the policy prior to submitting an application. You can check the supplementary exam information page on FSE101 in iLearn (https://bit.ly/FSESupp) for dates, and approved applicants will receive an individual notification sometime in the week prior to the exam with the exact date and time of their supplementary examination.
Name | Weighting | Hurdle | Due |
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One Test | 20% | No | see iLearn |
Two assignments | 40% | No | see iLearn |
Final examination | 40% | No | University Examination Period |
Due: see iLearn
Weighting: 20%
Supervised in class 1 hour test
Due: see iLearn
Weighting: 40%
Assignments on Modelling and Fourier Analysis
Due: University Examination Period
Weighting: 40%
Final examination
Lectures: you should attend two hours of each lecture stream each week, making a total of four hours per week.
Small Group Teaching Activity (SGTA): you should attend one SGTA each week, starting in week 2.
A set of online notes is available on iLearn.
The online notes are intended primarily as a source of reference. These are not intended to be treated as the only source for learning.
The following texts provide useful references for various sections of the course
Other similar texts are available in the Library.
Students are expected to have access to an internet enabled computer with a web browser and Adobe Reader software. Several areas of the university provide wireless access for portable computers. There are computers for student use in the Library.
Difficulties with your home computer or internet connection do not constitute a reasonable excuse for lateness of, or failure to submit, assessment tasks.
Week | Fourier Analysis | Modelling | Task due |
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1 | Series of functions, inner products, Fourier series | Introduction to modelling | |
2 | Fourier series, ctd. | Modelling with ODEs | |
3 | Fourier series: Bessel's inequality | Models from biology, physics... | |
4 | Fourier series: convergence | Models from biology, physics... | |
5 | Fourier series: differentiation and integration | Models from biology, physics... | |
6 | Integration, ctd. Sine, cosine series. | ODEs and phase plane | Assignment 1, Tuesday 11pm |
7 | Fourier series on general intervals. | Modelling with PDEs | |
8 | Application to PDEs. Separation of variables | Heat and diffusion: PDE models | Test, Thursday 3rd October |
9 | Fourier transform | Waves and potentials: PDE models | |
10 | Inverse Fourier transform | Modelling with maps | |
11 | Inverse Fourier transform, ctd. | The logistic map | |
12 | Fourier transforms: application to solving PDEs | Numerical methods for ODEs | Assignment 2, Tuesday 11pm |
13 | Revision | Revision |
Macquarie University policies and procedures are accessible from Policy Central (https://staff.mq.edu.au/work/strategy-planning-and-governance/university-policies-and-procedures/policy-central). Students should be aware of the following policies in particular with regard to Learning and Teaching:
Undergraduate students seeking more policy resources can visit the Student Policy Gateway (https://students.mq.edu.au/support/study/student-policy-gateway). It is your one-stop-shop for the key policies you need to know about throughout your undergraduate student journey.
If you would like to see all the policies relevant to Learning and Teaching visit Policy Central (https://staff.mq.edu.au/work/strategy-planning-and-governance/university-policies-and-procedures/policy-central).
Macquarie University students have a responsibility to be familiar with the Student Code of Conduct: https://students.mq.edu.au/study/getting-started/student-conduct
Results published on platform other than eStudent, (eg. iLearn, Coursera etc.) or released directly by your Unit Convenor, are not confirmed as they are subject to final approval by the University. Once approved, final results will be sent to your student email address and will be made available in eStudent. For more information visit ask.mq.edu.au or if you are a Global MBA student contact globalmba.support@mq.edu.au
Macquarie University provides a range of support services for students. For details, visit http://students.mq.edu.au/support/
Learning Skills (mq.edu.au/learningskills) provides academic writing resources and study strategies to improve your marks and take control of your study.
Students with a disability are encouraged to contact the Disability Service who can provide appropriate help with any issues that arise during their studies.
For all student enquiries, visit Student Connect at ask.mq.edu.au
If you are a Global MBA student contact globalmba.support@mq.edu.au
For help with University computer systems and technology, visit http://www.mq.edu.au/about_us/offices_and_units/information_technology/help/.
When using the University's IT, you must adhere to the Acceptable Use of IT Resources Policy. The policy applies to all who connect to the MQ network including students.
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