AMATH 731 - Applied Functional Analysis, Fall 2018

AMATH 731: Applied Functional Analysis (Fall 2018)

Instructor: E.R. Vrscay

Department of Applied Mathematics

University of Waterloo


Course Information

Description

This is a core course for graduate students in Applied Mathematics. It will also be of interest to students in Engineering and Science who wish to understand and use methods from classical analysis as well as functional analysis. Basic concepts from functional analysis are introduced and illustrated with applications in various areas such as mechanics, control theory, boundary value problems for PDEs, numerical analysis and quantum mechanics.

Outline

Course "textbook"

Supplementary notes will be provided from time to time. They will be posted below. (Previous versions are already posted here - they will be updated as we progress through the course.)

Recommended References (these books will be placed on one-day reserve at the Davis Library)

Instructor: E.R. Vrscay, MC 6326, ext. 35455, ervrscay-AT-uwaterloo.ca

Prerequisite: Advanced calculus, linear algebra and elementary real analysis

Lecture times: 10:00 - 11:30 a.m., Tuesdays and Thursdays, in MC 6460 (the Applied Math Seminar Room).

First lecture: Tuesday, September 11, 2018 at 10:00 a.m. in MC 6460.

Final examination (written, 2.5 hour, no aids): Monday, December 10, 2018. Time and room to be determined.


Material covered in Fall 2018 lectures to date

Material covered in lectures to date (This list will hopefully be updated at the end of each lecture or week.)

Supplementary Notes

Each set of notes will be revised from its 2017 version before being handed out in class this Fall 2018 term. Titles with "(2018)" have been revised or added this term.


Assignments


Additional References

  • E. Kreysig, "Introductory Functional Analysis with Applications"
  • L.P. Lebedev, I.I. Vorovich and G.M.L., "Functional Analysis: Applications in Mechanics and Inverse Problems, Second Edition"