MATH 452, Introduction to functional analysis
Course Syllabus
| Instructor: | Asst. Prof. Burak Kaya |
| E-mail: | burakk@metu.edu.tr |
| Website: | http://blog.metu.edu.tr/burakk |
| Office: | M-126 |
| Phone number: | +90 (312) 210 2996 |
| Office hours: | Announced at this link |
| Class hours: | Tuesday , 09:40 – 10:30 (M-105) Friday , 10:40 – 12:30 (M-102) |
| Classroom: | M-105 (Tuesday) and M-102 (Friday) |
Prerequisites: There are no official prerequisites for this course. However, by nature of the topic, you are expected to have a good understanding of topology of metric spaces as covered in MATH349 and fundamental results regarding vector spaces and functionals as covered in MATH261.
Course description: This is an introductory undergraduate level course to functional analysis. The aim of the course is to introduce the basic theory of Banach spaces and cover some classical results such as the Hahn-Banach theorem, the uniform boundedness principle, the open mapping and closed graph theorems, as well as, their applications.
Textbook: We are going to use my lecture notes for this course, which are mostly based on Prof. Dr. Zafer Nurlu’s past hand-written lecture notes for this class. These TeXed lecture notes are available in the teaching material section of my departmental web site. Besides these lecture notes, students who wish to have a textbook may take a look at the following textbook.
- Introductory functional analysis with applications by Erwin Kreyszig, ISBN: 978-0-471-50459-7.
A copy of this textbook is available in the library. Actually, the course material that we will cover is pretty classical and consequently, any standard textbook on functional analysis should be fine, as long as you pay attention to potential minor differences in notation and some definitions.
Attendance: Attendance is not mandatory.
Exams and grading: There will be two midterm exams (each out of 100 points) and a final exam (out of 100 points). Your total grade (out of 100 points) will be computed by the following formula:
Total grade=(Midterm 1+Midterm 2)*0.3+Final Exam*0.4
Academic dishonesty policy: You are expected to be familiar with the university’s academic integrity guide for students. No form of academic dishonesty is tolerated.
Make-up policy: No make-ups will be given without an official report. This policy is non-negotiable. If you are going to miss an exam because of extraordinary conditions, which may not be documented via reports, you should contact the course coordinator in advance. You cannot take a make up exam for more than one missed exam. There will be only one general make-up exam that will cover all topics.
Information for students with disabilities: Students who experience difficulties due to their disabilities and wish to obtain academic adjustments and/or auxiliary aids must contact ODTU Disability Support Office and/or course instructor and the advisor of students with disabilities at academic departments as soon as possible. For detailed information, please visit the website of Disability Support Office: https://engelsiz.metu.edu.tr/en/