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Unit of study_

PDEs and Applications - MATH4078

Year - 2019

Partial differential equations (PDEs) describe rates of change with respect to more than one variable, for example in both space and time or in two spatial directions. PDEs are powerful tools, used in a vast number of different applications, and of deep intrinsic mathematical interest. This unit will show you how to formulate and analyse PDEs in many different contexts. Many classical examples come naturally from physics, chemistry, and biology. But many more examples exist in areas, such as economics, finance, population dynamics, image analysis, and even the study of mathematics itself. Formulating and analysing PDEs was, for example, critical in proving the Poincare conjecture; a pure mathematical statement about the topology of spheres. This unit will teach you the tricks of the trade for modelling important systems with PDEs. You will learn both the technical skills needed to solve a challenging system of equations; and the insight needed to understand the meaning behind the mathematical expressions that result from solutions and formulations. When you complete this unit you will have a thorough foundational knowledge of classical PDE theory and application and be equipped for further study of research that uses PDE or for employment in scientific areas that use applications of PDEs.

Classes
3 lectures 1 hr/week; tutorial 1 hr/week

Assessment
Quiz (15%), Assignment (15%), Assignment (15%), Exam (55%)

Assumed knowledge
(MATH2X61 and MATH2X65) or (MATH2X21 and MATH2X22)

Pre-requisites

(A mark of 65 or greater in 12cp of 2000 level units) or [12cp from (MATH3061 or MATH3066 or MATH3063 or MATH3076 or MATH3961 or MATH3962 or MATH3963 or MATH3968 or MATH3969 or MATH3971 or MATH3974 or MATH3976 or MATH3977 or MATH3979)]

Prohibitions

MATH3078 or MATH3978

Details

Faculty: Science

Semester 2

05 Aug 2019

Department/School: Mathematics and Statistics Academic Operations
Study Mode: Normal (lecture/lab/tutorial) day
Census Date: 31 Aug 2019
Unit of study level: Honours
Credit points: 6.0
EFTSL: 0.125
Available for study abroad and exchange: Yes
Faculty/department permission required? No
Location
Camperdown
More details
Unit of Study coordinator: Prof Georg Gottwald
HECS Band: 2
Courses that offer this unit

Non-award/non-degree study If you wish to undertake one or more units of study (subjects) for your own interest but not towards a degree, you may enrol in single units as a non-award student. Cross-institutional study If you are from another Australian tertiary institution you may be permitted to undertake cross-institutional study in one or more units of study at the University of Sydney.

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