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Mathematical Sciences Institute · ANU College of Systems and Society
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.
3-4 written assignments involving problem-solving, proofs of theorems and extension of theory
Learning outcomes 1, 2, 3, 4
Final exam
Learning outcomes 1, 2, 3
The expected workload will consist of approximately 130 hours throughout the semester including: • Face-to-face component which may consist of 3 x 12 hours (36 hours total) of lectures. • Approximately 94 hours of self-directed study which will include preparation for lectures, tutorials and other assessment tasks. The exact workload distribution will vary from year to year.
Partial Differential Equations, by Lawrence C. Evans. Preliminary Reading Chapters 2, 5, 6, 7, 8 of the above book.