Linear Analysis I

Math 675-001

Fall 2017

This is the web page
It will be updated regularly and always contain the latest information on the course.

General Information:

Instructor: Thomas Wanner
Office: Exploratory Hall 4404
Web Page:
Fax: (703) 993-1491
Office hours: T 11am-12pm, R 4pm-5pm

Lectures: TR 5:55-7:10pm, Exploratory Hall 4106
Prerequisites: A thorough knowledge of advanced calculus and linear algebra is assumed. Also, familiarity with the "Theorem-Proof" style of presentation is important.
Textbook: Introductory Real Analysis by A.N. Kolmogorov and S.V. Fomin (Dover, 1970)

Important Links:


The course introduces basic concepts and techniques of linear functional analysis. These techniques constitute the abstract mathematical framework for solving a variety of applied problems, and applications of the theory will be given throughout the course. We will basically cover Chapters 2, 4, 5, and 6 of the textbook, although not in exactly the same order. Time permitting, some topics from the remaining chapters will be discussed as well. A more detailed syllabus can be found here. It will be updated weekly.

Homework Assignments:

Homework problems will be assigned once a week and posted on the homework page. Some of these assignments will be graded and count towards your homework score. While the remaining ones do not have to be handed in, I do advise everyone strongly to study them and write out the solutions properly. I will go through many of the homework problems in the following class and you will not benefit from this if you have not made a serious attempt at solving them.

Grading Policy:

Your final grade in the course will be determined from your performance in a midterm exam, the homework assignments, and a final exam. Weights for these items will be distributed approximately according to the following schedule:

Homework Midterm Exam Final Exam
40% 30% 30%

The assignment of your course grade is based on the total course score. The following grading scale may serve as a guideline, although changes are possible:

Score above 90% 80% 70% 60% otherwise
Letter grade A B C D F

Thomas Wanner, August 19, 2017.