{"id":309,"date":"2021-09-29T21:11:05","date_gmt":"2021-09-29T21:11:05","guid":{"rendered":"https:\/\/blog.metu.edu.tr\/burakk\/?page_id=309"},"modified":"2021-10-18T11:36:09","modified_gmt":"2021-10-18T11:36:09","slug":"math-452-spring-2021","status":"publish","type":"page","link":"https:\/\/blog.metu.edu.tr\/burakk\/math-452-spring-2021\/","title":{"rendered":"MATH 452 (Fall 2021)"},"content":{"rendered":"

MATH 452, Introduction to functional analysis<\/strong>
\nCourse Syllabus<\/p>\n\n\n\n\n\n\n\n\n\n\n
Instructor:<\/strong><\/td>\nAsst. Prof. Burak Kaya<\/td>\n<\/tr>\n
E-mail:<\/strong><\/td>\nburakk@metu.edu.tr<\/td>\n<\/tr>\n
Website:<\/strong><\/td>\nhttp:\/\/blog.metu.edu.tr\/burakk<\/a><\/td>\n<\/tr>\n
Office:<\/strong><\/td>\nM-126<\/td>\n<\/tr>\n
Phone number:<\/strong><\/td>\n+90 (312) 210 2996<\/td>\n<\/tr>\n
Office hours:<\/strong><\/td>\nAnnounced at this link<\/a><\/td>\n<\/tr>\n
Class hours:<\/strong><\/td>\nWednesday 10:40-12:30
\nFriday 14:40-15:30<\/td>\n<\/tr>\n
Classroom:<\/strong><\/td>\nM-13<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

Prerequisites:<\/strong> \u00a0 There are no official prerequisites for this course<\/a>. 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.<\/p>\n

Instruction method:<\/strong> Although the instruction method for this course has been announced<\/a> as “hybrid”, 100% of the lectures will be held face-to-face. <\/strong>I would like to point out that this possibility (that all lectures are held face-to-face) was stated in the relevant announcement.<\/p>\n

I will be holding lectures online only in the case<\/strong> that I have to be quarantined due to COVID-19 precautions. I am hoping that I stay not infected and this situation never occurs.<\/p>\n

While the lectures will be held face-to-face, I will also be recording each lecture and the recordings will be available each week on ODTU Class and YouTube. Consequently, students who do not want to show up for the class can watch the lecture videos online.<\/strong><\/p>\n

Course description:<\/strong> This is an introductory undergraduate level course to functional analysis<\/a>. 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.\u00a0 (If time permits, we may cover some basic results regarding Hilbert spaces, though, there is a separate course MATH497 for this topic.)<\/p>\n

Textbook:<\/strong> I am going to TeX lecture notes for this course, which will mostly be based on Prof. Dr. Zafer Nurlu’s past lecture notes for this class. These TeXed lecture notes will be available in the teaching material<\/a> section of my departmental web site every week before the lectures. (You may check out my previously TeXed lecture notes for MATH320 and MATH501 to get a sense of what you should expect.) Besides these lecture notes, students who wish to have a textbook may take a look at the following textbook.<\/p>\n