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The aim of this unit is to introduce some fundamental concepts of the theory of partial differential equations (PDEs) arising in Physics, Chemistry, Biology and Mathematical Finance. The focus is mainly on linear equations but some important examples of nonlinear equations and related phenomena re introduced as well. After an introductory lecture, we proceed with first-order PDEs and the method of characteristics. Here, we also nonlinear transport equations and shock waves are discussed. Then the theory of the elliptic equations is presented with an emphasis on eigenvalue problems and their application to solve parabolic and hyperbolic initial boundary-value problems. The Maximum principle and Harnack's inequality will be discussed and the theory of Green's functions.
Study level | Undergraduate |
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Academic unit | Mathematics and Statistics Academic Operations |
Credit points | 6 |
Prerequisites:
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6 credit points from (MATH2X21 or MATH2X65 or MATH2067) and 6 credit points from (MATH2X22 or MATH2X61) |
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Corequisites:
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None |
Prohibitions:
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MATH3978 or MATH4078 |
Assumed knowledge:
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[MATH2X61 and MATH2X65] or [MATH2X21 and MATH2X22] |
At the completion of this unit, you should be able to:
This section lists the session, attendance modes and locations the unit is available in. There is a unit outline for each of the unit availabilities, which gives you information about the unit including assessment details and a schedule of weekly activities.
The outline is published 2 weeks before the first day of teaching. You can look at previous outlines for a guide to the details of a unit.
Session | MoA ? | Location | Outline ? |
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Semester 2 2024
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Normal day | Camperdown/Darlington, Sydney |
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Session | MoA ? | Location | Outline ? |
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Semester 2 2025
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Normal day | Camperdown/Darlington, Sydney |
Outline unavailable
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Session | MoA ? | Location | Outline ? |
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Semester 2 2020
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Normal day | Camperdown/Darlington, Sydney |
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Semester 2 2021
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Normal day | Camperdown/Darlington, Sydney |
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Semester 2 2021
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Normal day | Remote |
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Semester 2 2022
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Normal day | Camperdown/Darlington, Sydney |
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Semester 2 2022
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Normal day | Remote |
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Semester 2 2023
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Normal day | Camperdown/Darlington, Sydney |
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