office hours: Mon, Wed, Fri 2:05 pm - 3:05 pm or by appointment
Course Assistant: Jafar Jafarov
office hours: Tue, Thu 1:00 pm - 4:00 pm
Classes: Mon, Wed, Fri 1:15 pm - 2:05 pm, from 04/01/2013 to 06/05/2013 Room: Building 380, Room 380-Y Course book: N. Young, "An introduction to Hilbert space" (1988) Chapter 1 & 2 Additional Material: Student script of the MATH 175 course given by Leon Simon in spring 2011. This is not a substitute to the course book. General: Math 175 is designed to give an undergraduate introduction to functional analysis. Course content: We will cover most of the first 12 chapters of
the text, together with some supplementary material on the Lebesgue
integral which will be posted on the class web-page. In one sentence: We will study
linear operators on infinite-dimensional spaces. Prerequisites: Math 115 or Math 171 or similar. You should be familiar with proofs and be able to prove small statements by themselves. Style: Compared to courses of the Math 50 series, the emphasis lies more on a rigorous verification of mathematical statements than just on understanding and applying them. Goal: A deep understanding of the material that allows you to solve problems which are at least one level removed from
routine and cookbook applications. I am very much looking forward to show you the fascination and beauty of the course.
Organization of the course
Homeworks will be assigned weekly, they can be downloaded from
the course website. The homeworks are collected during the lecture at Fridays, unless otherwise
specified. There will be no homework in the first and in the last week.
There will be a take-home midterm exam. The exam will be handed out in the lecture at Fri 05/03/2013 and will be collected
in the lecture at Mon 05/06/2013.
The final exam will take place at Wednesday, June 12, 2013 from 8.30 am - 11.30 am in the room 380D.
The final grade will be based on the homework assignments (30%), the midterm (30%) and the final (40%).
The lowest homework score will be dropped (more precisely, since
problem sets might have different maximal scores, the homework, in
which the most points are lost, will be given a full score) .
The course will use coursework for entering the grades. Students should enroll on coursework
in the course Sp13-MATH-175-01.
Please be sure you are aware of the requirements
Stanford Honor Code and your responsibilities under the code.