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Differential Equations (MAST20030)
Undergraduate level 2Points: 12.5Dual-Delivery (Parkville)
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About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Semester 2
Overview
Availability | Semester 2 - Dual-Delivery |
---|---|
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 understand the structure of the general solutions. It balances basic theory with concrete applications. Topics include:
- linear ordinary differential equations and initial-value problems, including systems of first-order linear ordinary differential equations;
- Taylor series solutions of linear ordinary differential equations;
- Laplace transform methods for solving dynamical models with discontinuous inputs;
- boundary-value problems for linear ordinary differential equations and their interpretation in terms of eigenvalues and eigenfunctions;
- Fourier series solutions of certain linear partial differential equations on spatially bounded domains using separation of variables and eigenfunction expansion;
- Fourier transform solutions of certain linear partial differential equations on unbounded spatial domains.
Intended learning outcomes
At the completion of this subject, students should be able to:
- Explain how linear algebra dictates the structure of the solution space of a linear differential equation;
- Apply series methods to construct solutions of linear differential equations and initial-/boundary-value problems;
- Utilise transform methods to find exact solutions of certain initial-/boundary-value problems;
- Employ eigenfunction expansions in solving linear partial differential equations that naturally arise in applications.
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: 11 April 2024
Eligibility and requirements
Prerequisites
One of
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST20009 | Vector Calculus |
Semester 2 (Dual-Delivery - Parkville)
Semester 1 (Dual-Delivery - Parkville)
|
12.5 |
MAST20032 | Vector Calculus: Advanced | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
AND
One of
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10007 | Linear Algebra |
Summer Term (Dual-Delivery - Parkville)
Semester 2 (Dual-Delivery - Parkville)
Semester 1 (Dual-Delivery - Parkville)
|
12.5 |
MAST10008 | Accelerated Mathematics 1 | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
MAST10022 | Linear Algebra: Advanced | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
MAST10013 UMEP Maths for High Achieving Students
MAST10018: Linear Algebra Extension Studies
AND
One of
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10006 | Calculus 2 |
Semester 1 (Dual-Delivery - Parkville)
Semester 2 (Dual-Delivery - Parkville)
Summer Term (Dual-Delivery - Parkville)
|
12.5 |
MAST10009 | Accelerated Mathematics 2 | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST10021 | Calculus 2: Advanced | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST10019: Calculus Extension Studies
Corequisites
None
Non-allowed subjects
MAST30029 Partial Differential Equations (prior to 2014)
MAST30023 Differential Equations for Engineers (prior to 2012)
Students may not enrol in MAST20009 Vector Calculus and MAST20030 Differential Equations concurrently.
Passing MAST20030 Differential Equations precludes subsequent credit for MAST20029 Engineering Mathematics.
Concurrent enrolment in both MAST20030 Differential Equations and MAST20029 Engineering Mathematics is not permitted.
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: 11 April 2024
Assessment
Description | Timing | Percentage |
---|---|---|
Three written assignments due at regular intervals amounting to a total of up to 50 pages
| During the teaching period | 30% |
A written examination
| During the examination period | 70% |
Last updated: 11 April 2024
Dates & times
- Semester 2
Coordinator Antoinette Tordesillas Mode of delivery Dual-Delivery (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 25 July 2022 to 23 October 2022 Last self-enrol date 5 August 2022 Census date 31 August 2022 Last date to withdraw without fail 23 September 2022 Assessment period ends 18 November 2022 Semester 2 contact information
Time commitment details
Estimated total time commitment of 170 hours
Last updated: 11 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 Science Discipline subjects - new generation B-SCI Informal specialisation Applied Mathematics Major Applied Mathematics - Breadth options
This subject is available as breadth in the following courses:
- Bachelor of Arts
- Bachelor of Commerce
- Bachelor of Design
- Bachelor of Environments
- Bachelor of Fine Arts (Acting)
- Bachelor of Fine Arts (Animation)
- Bachelor of Fine Arts (Dance)
- Bachelor of Fine Arts (Film and Television)
- Bachelor of Fine Arts (Music Theatre)
- Bachelor of Fine Arts (Production)
- Bachelor of Fine Arts (Screenwriting)
- Bachelor of Fine Arts (Theatre)
- Bachelor of Fine Arts (Visual Art)
- Bachelor of Music
- 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: 11 April 2024