Handbook home
Differential Equations (MAST20030)
Undergraduate level 2Points: 12.5On Campus (Parkville)
About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Semester 2
Email: david.ridout@unimelb.edu.au
Overview
Availability | Semester 2 |
---|---|
Fees | Look up fees |
Differential equations arise as common models in the physical, mathematical, biological and engineering sciences. This subject covers linear differential equations, both ordinary and partial, using concepts from linear algebra to provide the general structure of solutions for ordinary differential equations and linear systems. The differences between initial value problems and boundary value problems are discussed and eigenvalue problems arising from common classes of partial differential equations are introduced. Laplace transform methods are used to solve dynamical models with discontinuous inputs and the separation of variables method is applied to simple second order partial differential equations. Fourier series are derived and used to represent the solutions of the heat and wave equation and Fourier transforms are introduced. The subject balances basic theory with concrete applications.
Intended learning outcomes
At the completion of this subject, students should be able to
- understand the solution structure of linear ordinary differential equations;
- appreciate how partial differential equations arise in physical applications;
- be able to find exact solutions of simple first and second-order partial differential equations in two variables;
- know how eigenfunction and transform methods arise naturally and can be applied in differential equation problems.
Generic skills
In addition to learning specific skills that will assist students in their future careers in science, engineering, commerce, education or elsewhere, they will have the opportunity to develop generic skills that will assist them in any future career path. These include
- problem-solving skills: the ability to engage with unfamiliar problems and identify relevant strategies;
- analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis.
Last updated: 27 April 2024
Eligibility and requirements
Prerequisites
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST20009 | Vector Calculus |
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
|
12.5 |
plus one of
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10007 | Linear Algebra |
Semester 1 (On Campus - Parkville)
Summer Term (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
|
12.5 |
MAST10008 | Accelerated Mathematics 1 | Semester 1 (On Campus - Parkville) |
12.5 |
No longer available | |||
No longer available |
plus one of
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10006 | Calculus 2 |
Semester 2 (On Campus - Parkville)
Semester 1 (On Campus - Parkville)
|
12.5 |
MAST10009 | Accelerated Mathematics 2 | Semester 2 (On Campus - Parkville) |
12.5 |
No longer available |
Corequisites
None
Non-allowed subjects
Students may only gain credit for one of MAST20030 Differential Equations, MAST30029 Partial Differential Equations (prior to 2014) and MAST30023 Differential Equations for Engineers (prior to 2012).
Students may only gain credit for one of MAST20030 Differential Equations and MAST20029 Engineering Mathematics.
Students may not enrol in MAST20009 Vector Calculus and MAST20030 Differential Equations concurrently.
Inherent requirements (core participation requirements)
The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.
Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home
Last updated: 27 April 2024
Assessment
Additional details
Three written assignments due at regular intervals during semester amounting to a total of up to 50 pages (30%), and a 3-hour written examination in the examination period (70%).
Last updated: 27 April 2024
Dates & times
- Semester 2
Principal coordinator David Ridout Mode of delivery On Campus (Parkville) Contact hours 36 one-hour lectures (three per week), 12 one-hour practice classes (one per week) Total time commitment 170 hours Teaching period 23 July 2018 to 21 October 2018 Last self-enrol date 3 August 2018 Census date 31 August 2018 Last date to withdraw without fail 21 September 2018 Assessment period ends 16 November 2018 Semester 2 contact information
Email: david.ridout@unimelb.edu.au
Time commitment details
Estimated total time commitment of 170 hours
Last updated: 27 April 2024
Further information
- Texts
Prescribed texts
Recommended texts and other resources
Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems, any edition, Wiley
- Related Handbook entries
This subject contributes to the following:
Type Name Informal specialisation Applied Mathematics Major Applied Mathematics Informal specialisation Science-credited subjects - new generation B-SCI and B-ENG. Informal specialisation Selective subjects for B-BMED - Breadth options
This subject is available as breadth in the following courses:
- Available through the Community Access Program
About the Community Access Program (CAP)
This subject is available through the Community Access Program (also called Single Subject Studies) which allows you to enrol in single subjects offered by the University of Melbourne, without the commitment required to complete a whole degree.
Entry requirements including prerequisites may apply. Please refer to the CAP applications page for further information.
- Available to Study Abroad and/or Study Exchange Students
This subject is available to students studying at the University from eligible overseas institutions on exchange and study abroad. Students are required to satisfy any listed requirements, such as pre- and co-requisites, for enrolment in the subject.
Last updated: 27 April 2024