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Course profile

Methods & Models of Applied Mathematics (MATH3102)

Study period
Sem 2 2024
Location
St Lucia
Attendance mode
In Person

Course overview

Study period
Semester 2, 2024 (22/07/2024 - 18/11/2024)
Study level
Undergraduate
Location
St Lucia
Attendance mode
In Person
Units
2
Administrative campus
St Lucia
Coordinating unit
Mathematics & Physics School

Classical methods and models in applied mathematics: dimensional analysis, perturbation methods, traffic models (continuity equation, shocks, Rankine-Hugoniot condition), introduction to continuum mechanics (elasticity, visco-elasticity, fluid dynamics, Navier-Stokes equation).

The course introduces perturbation theory and continuum mechanics as mathematical modelling tools. These tools are widely used in modelling phenomena in the real world, especially in (fluid) mechanics, mathematical biology and traffic modelling. Applications illustrating the way these tools can be used will be given in a variety of modelling situations.ᅠ

Course requirements

Prerequisites

You'll need to complete the following courses before enrolling in this one:

MATH2100

Incompatible

You can't enrol in this course if you've already completed the following:

MATH7132 (co-taught).

Course contact

Tutor

Mr Anthony Parr

Course staff

Lecturer

Timetable

The timetable for this course is available on the UQ Public Timetable.

Additional timetable information

All classes will be conducted on campus. Consult your personal timetable for times and locations. Students are expected to attend these sessions in person unless they have a valid reason for being unable to attend (such as illness). Tutorials start in week 2.

Aims and outcomes

The course is about introducingᅠperturbation theory and continuum mechanics as mathematical modelling tools.ᅠTheseᅠtools are widely used to modelᅠphenomena in the real world, especially in (fluid and solid) mechanics, mathematical biology and traffic modelling. Applications illustrating the way these tools can be used will be given in a variety of modelling situations. Among other things this course introduces traffic models, models for visco-elasticity and the Navier-Stokes model for fluid dynamics as well as simpler versions of this model for specific geometries and asymptotic regimes.

The tools that you learn form a foundation for further studies in physics, engineering, biology, applied mathematics and pure mathematics.

Learning outcomes

After successfully completing this course you should be able to:

LO1.

Understand and employ perturbation theory in a variety of situations.

LO2.

Formulate and analyse basic models of traffic flow and shock formation.

LO3.

Solve and analyse 1D models for continuum mechanics.

LO4.

Formulate and analyse continuum models in higher dimensions.

Assessment

Assessment summary

Category Assessment task Weight Due date
Tutorial/ Problem Set Assignment 60%

Assignment 1: 9/08/2024 2:00 pm

Assignment 2: 23/08/2024 2:00 pm

Assignment 3: 6/09/2024 2:00 pm

Assignment 4: 20/09/2024 2:00 pm

Assignment 5: 11/10/2024 2:00 pm

Assignment 6: 25/10/2024 2:00 pm

Examination Final exam
  • Hurdle
  • Identity Verified
  • In-person
40%

End of Semester Exam Period

2/11/2024 - 16/11/2024

A hurdle is an assessment requirement that must be satisfied in order to receive a specific grade for the course. Check the assessment details for more information about hurdle requirements.

Assessment details

Assignment

Mode
Written
Category
Tutorial/ Problem Set
Weight
60%
Due date

Assignment 1: 9/08/2024 2:00 pm

Assignment 2: 23/08/2024 2:00 pm

Assignment 3: 6/09/2024 2:00 pm

Assignment 4: 20/09/2024 2:00 pm

Assignment 5: 11/10/2024 2:00 pm

Assignment 6: 25/10/2024 2:00 pm

Task description

Demonstrate your knowledge of the course material on selected problems.

Submission guidelines

Assignments can be downloaded from the Blackboard web site. Please submit your assignment through Blackboard before the due date.

Deferral or extension

You may be able to apply for an extension.

See ADDITIONAL ASSESSMENT INFORMATION for the extension and deferred examination information relating to this assessment item.

Late submission

A penalty of 10% of the maximum possible mark will be deducted per 24 hours from time submission is due for up to 7 days. After 7 days, you will receive a mark of 0.

You are required to submit assessable items on time. If you fail to meet the submission deadline for any assessment item without an approved extension, a penalty of 10% of the maximum possible mark allocated for the assessment item, or one grade per day if graded on the basis of 1-7, will be deducted per day for up to 3 calendar days, at which point any submission will not receive any marks. Each 24 hour block is recorded from the time the submission is due. 

Final exam

  • Hurdle
  • Identity Verified
  • In-person
Mode
Written
Category
Examination
Weight
40%
Due date

End of Semester Exam Period

2/11/2024 - 16/11/2024

Task description

The final examination in this course will be held during the end-of-semester examination period. It will be an in-person exam held on campus.

Hurdle requirements

See COURSE GRADING INFORMATION for the hurdle relating to this assessment item.

Exam details

Planning time 10 minutes
Duration 120 minutes
Calculator options

Any calculator permitted

Open/closed book Closed Book examination - no written materials permitted
Exam platform Paper based
Invigilation

Invigilated in person

Submission guidelines

Deferral or extension

You may be able to defer this exam.

See ADDITIONAL ASSESSMENT INFORMATION for the extension and deferred examination information relating to this assessment item.

Course grading

Full criteria for each grade is available in the Assessment Procedure.

Grade Description
1 (Low Fail)

Absence of evidence of achievement of course learning outcomes.

Course grade description: Students who obtain a final mark of less than 20% will obtain a grade of 1.

2 (Fail)

Minimal evidence of achievement of course learning outcomes.

Course grade description: Students who obtain a final mark of at least 20%, and less than 45%, will obtain a grade of 2.

3 (Marginal Fail)

Demonstrated evidence of developing achievement of course learning outcomes

Course grade description: Students who obtain a final mark of at least 45%, will obtain a grade of 3, provided that they obtain a mark of at least 35% on the final exam.

4 (Pass)

Demonstrated evidence of functional achievement of course learning outcomes.

Course grade description: Students who obtain a final mark of at least 50%, will obtain a grade of 4, provided that they obtain a mark of at least 40% on the final exam.

5 (Credit)

Demonstrated evidence of proficient achievement of course learning outcomes.

Course grade description: Students who obtain a final mark of at least 65%, will obtain a grade of 5, provided that they obtain a mark of at least 50% on the final exam.

6 (Distinction)

Demonstrated evidence of advanced achievement of course learning outcomes.

Course grade description: Students who obtain a final mark of at least 75%, will obtain a grade of 6

7 (High Distinction)

Demonstrated evidence of exceptional achievement of course learning outcomes.

Course grade description: Students who obtain a final mark of at least 85% will obtain a grade of 7

Supplementary assessment

Supplementary assessment is available for this course.

Should you fail a course with a grade of 3, you may be eligible for supplementary assessment. Refer to my.UQ for information on supplementary assessment and how to apply. 

Supplementary assessment provides an additional opportunity to demonstrate you have achieved all the required learning outcomes for a course.  

If you apply and are granted supplementary assessment, the type of supplementary assessment set will consider which learning outcome(s) have not been met.  

Supplementary assessment in this course will be a 2-hour examination similar in style to the end-of-semester examination. To receive a passing grade of 3S4, you must obtain a mark of 50% or more on the supplementary assessment. 

Additional assessment information

Artificial Intelligence

The assessment tasks in this course evaluate students’ abilities, skills and knowledge without the aid of Artificial Intelligence (AI). Students are advised that the use of AI technologies to develop responses is strictly prohibited and may constitute misconduct under the Student Code of Conduct.

Applications for Extensions to Assessment Due Dates

Extension requests are submitted online via my.UQ – applying for an extension. Extension requests received in any other way will not be approved. Additional details associated with extension requests, including acceptable and unacceptable reasons, may be found at my.UQ.

Please note:

  • Requests for an extension to an assessment due date must be submitted through your my.UQ portal and you must provide documentation of your circumstances, as soon as it becomes evident that an extension is needed. Your application must be submitted on or before the assessment item's due date and time.
  • Applications for extension can take time to be processed so you should continue to work on your assessment item while awaiting a decision. We recommend that you submit any completed work by the due date, and this will be marked if your application is not approved. Should your application be approved, then you will be able to resubmit by the agreed revised due date.
  • If an extension is approved, you will be notified via your my.UQ portal and the new date and time for submission provided. It is important that you check the revised date as it may differ from the date that you requested.
  • If the basis of the application is a medical condition, applications should be accompanied by a medical certificate dated prior to the assignment due date. If you are unable to provide documentation to support your application by the due date and time you must still submit your application on time and attach a written statement (Word document) outlining why you cannot provide the documentation. You must then upload the documentation to the portal within 24 hours.
  • If an extension is being sought on the basis of exceptional circumstances, it must be accompanied by supporting documentation (eg. Statutory declaration).
  • For extensions based on a SAP you may be granted a maximum of 7 days (if no earlier maximum date applies). See the Extension or Deferral availability section of each assessment for details. Your SAP is all that is required as documentation to support your application. However, additional extension requests for the assessment item will require the submission of additional supporting documentation e.g., a medical certificate. All extension requests must be received by the assessment due date and time.
  • Students may be asked to submit evidence of work completed to date. Lack of adequate progress on your assessment item may result in an extension being denied.
  • If you have been ill or unable to attend class for more than 14 days, you are advised to carefully consider whether you are capable of successfully completing your courses this semester. You might be eligible to withdraw without academic penalty - seek advice from the Faculty that administers your program.
  • There are no provisions for exemption from an assessment item within UQ rules. If you are unable to submit an assessment piece then, under special circumstances, you may be granted an exemption, but may be required to submit alternative assessment to ensure all learning outcomes are met.

Applications to defer an exam

In certain circumstances you can apply to take a deferred examination for in-semester and end-of-semester exams. You'll need to demonstrate through supporting documentation how unavoidable circumstances prevented you from sitting your exam. If you can’t, you can apply for a one-off discretionary deferred exam.

Deferred Exam requests are submitted online via mySi-net. Requests received in any other way will not be approved. Additional details associated with deferred examinations, including acceptable and unacceptable reasons may be found at my.UQ.

Please note:

  • Applications can be submitted no later than 5 calendar days after the date of the original exam.
  • There are no provisions to defer a deferred exam. You need to be available to sit your deferred examination.
  • Your deferred examination request(s) must have a status of "submitted" in mySI-net to be assessed.
  • All applications for deferred in-semester examinations are assessed by the relevant school. Applications for deferred end-of-semester examinations are assessed by the Academic Services Division.
  • You’ll receive an email to your student email account when the status of your application is updated.
  • If you have a medical condition, mental health condition or disability and require alternative arrangements for your deferred exam you’ll need to complete the online alternative exam arrangements through my.UQ. This is in addition to your deferred examinations request. You need to submit this request on the same day as your request for a deferred exam or supplementary assessment. Contact Student Services if you need assistance completing your alternative exam arrangements request.

Learning resources

You'll need the following resources to successfully complete the course. We've indicated below if you need a personal copy of the reading materials or your own item.

Library resources

Find the required and recommended resources for this course on the UQ Library website.

Learning activities

The learning activities for this course are outlined below. Learn more about the learning outcomes that apply to this course.

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Learning period Activity type Topic
Multiple weeks

From Week 1 To Week 13
(22 Jul - 27 Oct)

Lecture

Lectures

There are three hours of lectures per week. The lectures define the course material. They set out the basic theory and demonstrate techniques for problem solving. They cover all the core material required for the course and are also used to provide administrative information for the course.

Multiple weeks

From Week 2 To Week 13
(29 Jul - 27 Oct)

Tutorial

Tutorials

Tutorials provide students with individual assistance. Solutions to tutorial problems will be presented.

Policies and procedures

University policies and procedures apply to all aspects of student life. As a UQ student, you must comply with University-wide and program-specific requirements, including the:

Learn more about UQ policies on my.UQ and the Policy and Procedure Library.