MATH 753 - Spectral Theory

Special Theory - MATH 753

Lecture Meeting: Friday 16:00 - 19:00

Catalog Description

Hilbert spaces, spectrum of a bounded operator, symbolic calculus: bounded and unbounded self-adjoint operator, L∞ spectral theorem, L2 spectral theorem, Stone’s theorem.

Course Objectives

Teach the students the theory of Operators and some application in Partial differential Equations and related subjects.

Course Outcomes

1) Knowledge and Understanding: During the lecture the student learns to model different types of problems and select the suitable package and existing programs in these packages to solve the given problems

2) Intellectual Skills: By the end of the course the student is expected to solve real-life problems reflecting the student ability to identify the suitable computational technique for a specific type of problems.

3) Practical Skills: By the end of the course student will have the ability to compare the computational methods for advantages and disadvantages, choose the suitable computational method among several existing methods and implement the computational methods using existing computational software.

4) Transferable Skills: Within the lectures the student is able to transfer ideas and experience, work effectively as a part of a group and independently.

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