MATH3341 Theory of Partial Differential Equations Honours

Later Year Course

Offered By	Department of Mathematics
Academic Career	Undergraduate
Course Subject	Mathematics
Offered in	Second Semester, 2009 and Second Semester, 2010
Unit Value	6 units
Course Description	The course will discuss the three main classes of equations, elliptic, parabolic and hyperbolic. It is intended both for mathematics students continuing to honours work and for other students using mathematics at a high level in theoretical physics, engineering and information technology, and mathematical economics. Topics to be covered will include fundamental solutions, maximum principles, regularity (smoothness) of solutions, variational problems, Holder and Sobolev spaces. Note: This is an Honours Pathway Course. It emphasises mathematical rigour and proof.
Learning Outcomes	On satisfying the requirements of this course, students will have the knowledge and skills to: 1. Explain the concepts and language of partial differential equations and their role in modern mathematics and applied contexts 2. Analyse and solve complex problems using partial differential equations as functional and analytical tools 3. Apply problem-solving with partial differential equations to diverse situations in physics, engineering and other mathematical contexts
Indicative Assessment	4 written assignments involving problem-solving, proofs of theorems and extension of theory (25% each; LO 1, 2, 3)
Workload	36 lectures and tutorials by arrangement
Areas of Interest	Mathematics
Requisite Statement	A mark of 60 or more in MATH3320.
Incompatibility	with MATH3127.
Consent Required	Please contact MATHSadmin@maths.anu.edu.au for consent to enrol in this course.
Science Group	C
Academic Contact	Dr John Urbas

The information published on the Study at ANU 2009 website applies to the 2009 academic year only. All information provided on this website replaces the information contained in the Study at ANU 2008 website.