MATH6202 Theory of Partial Differential Equations

Offered By	Department of Mathematics
Academic Career	Graduate Coursework
Course Subject	Mathematics
Offered in	Second Semester, 2011, First Semester, 2012, and Second Semester, 2012
Unit Value	6 units
Course Description	The course will discuss the three main classes of equations: elliptic, parabolic and hyperbolic. Topics will include: Fundamental solutions Maximum principles Regularity (smoothness) of solutions Variational problems Holder and Sobolev spaces Note: Graduate students attend joint classes with later year undergraduate students but are assessed separately.
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 4. Apply partial differential equations to specific research problems in mathematics or other fields
Indicative Assessment	4-5 written assignments involving problem-solving, proofs of theorems and extension of theory (20-25% each; LO 1, 2, 3, 4)
Course Classification(s)	AdvancedAdvanced courses are designed for students having reached 'first degree' level of assumed knowledge, which provide a deep understanding of contemporary issues; or 'second degree' and higher levels of knowledge; or for transition to research training programs. and SpecialistSpecialist courses are designed for students having reached 'first degree' level of assumed knowledge, which provide for the acquisition of specialist skills; or 'second degree' and higher level of knowledge; or for transition to research training programs; or knowledge associated with professional accreditation.
Areas of Interest	Mathematics
Eligibility	Bachelor degree; with third year Mathematics.
Requisite Statement	Third year Mathematics is required.
Consent Required	Please contact admin.teaching.msi@anu.edu.au for consent to enrol in this course.
Programs	Master of Mathematical Sciences and Master of Mathematical Sciences
Academic Contact	Dr John Urbas

The information published on the Study at ANU 2011 website applies to the 2011 academic year only. All information provided on this website replaces the information contained in the Study at ANU 2010 website.