MATH 401
Functional Analysis
Last Offered Spring 2022
Division III Quantitative/Formal Reasoning
This course is not offered in the current catalog

Class Details

Functional analysis can be viewed as linear algebra on infinite-dimensional spaces. It is a central topic in Mathematics, which brings together and extends ideas from analysis, algebra, and geometry. Functional analysis also provides the rigorous mathematical background for several areas of theoretical physics (especially quantum mechanics). We will introduce infinite-dimensional spaces (Banach and Hilbert spaces) and study their properties. These spaces are often spaces of functions (for example, the space of square-integrable functions). We will consider linear operators on Hilbert spaces and investigate their spectral properties. A special attention will be dedicated to various operators arising from mathematical physics, especially the Schrodinger operator.
The Class: Format: lecture
Limit: 40
Expected: 30
Class#: 3935
Grading: yes pass/fail option, yes fifth course option
Requirements/Evaluation: weekly problem sets, two midterm exams, final exam
Prerequisites: MATH 350 or 351 or permission of instructor
Enrollment Preferences: Mathematics and Physics majors; seniors
Distributions: Division III Quantitative/Formal Reasoning
QFR Notes: This is an advance course in Mathematical Analysis.

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