Functional Analysis


INSTRUCTOR: Zhuangyi Liu

OFFICE: 3:00-4:30 MWF, PHONE: 726-7179

LECTURE: 9:00-9:50 MWF, Chem 251

TEXTBOOK: Introductory Funcational Analysis with Applications, E. Kreyszig

REFERENCES:
A Course in Functional Analysis, John B. Conway
Functinal Analysis, Walter Rudin
Introduction to Funcational Analysis,Angus E. Taylor

CONTENTS:
Chapter 1, Metric Spaces
Chapter 2, Normed Spaces, Banach Spaces
Chapter 3, Inner Product Spaces, Hilbert Spaces
Chapter 4, Fundamental Theorems for Normed and Banach Spaces
Chapter 7, Spectral Theory of Linear Operators in Normed Spaces
Chapter 8, Compact Linear Operators on Normed Spaces and Their Spectrum
Chapter 9, Spectral Theory of Bounded Self-Adjoint Linear Operators
Chapter 10, Unbounded Lienar Operators in Hilbert Space

HOMEWORK: due every other Wed. (60%)

Midterm Exam: (20%)

FINAL: Takehome (20%)

GRADING SCALE:

  1. 450-500 A
  2. 400-449 B
  3. 350-399 C
  4. 300-349 D

REMARKS:

(1)Tests must be taken at scheduled times. If a test is missed for a valid reason, then a make-up test can be arranged. Midexams will be scheduled at evening so that we can make up for the three classes I will miss in April.
(2)Individuals who have any disability which might affect their ability to perform in the class are encouraged to inform the instructor at the start of the quarter. Adaptation of methods, materials or testing may be made to provide for equal participation.

Email comments and questions to zliu@d.umn.edu