The solutions must be written clearly. The homework is your best chance to learn the material in this course. This includes reasonable handwriting preferably typed in LaTeX!!!! You are encouraged to work with each other on the homework. Your grade will be determined by weekly homework assignments along with one take-home final exam. Through Friday, December 2, we have gotten through the end of Section 19 and the statement of the Law of the Iterated Logarithm in Section

The reference to a theorem from undergraduate analysis is underlined. Rockefeller Hall Instructor: Everything you write should be in your own individual words; direct copying is forbidden! Homework 6, due March 1st: Here are the full notes for the entire semester document is searchable and has working links. Since each f n is continuous and the uniform limit of continuous functions is continuous , we know that f is continuous.

Homework 5, due February 22nd: Knowledge of Lebesgue integration theory, at least on real line. Problems from Gerald B. Modern Techniques and Applications, 2nd edition, Wiley, Since each f n is continuous and the uniform limit of continuous functions is continuous fo,land, we know that f is continuous.

## Remarks on doing the homework.

In particular, you are not allowed to work with each other. So we have shown pf f n converges to f uniformly. Homework 2, due October 12th: Homework 9, due December 7th: A mathematically rigorous course in probability theory which uses measure theory but begins with the basic definitions of independence and expected value in that context.

We will cover most of Chapters Even false starts on problems will help you learn.

Your grade will be determined by weekly homework assignments along with one take-home final exam. If you techniquees a disability-related need for reasonable academic adjustments in this course, please provide me with an accommodation notification letter from Student Disability Services.

It is due on Thursday, December 8 at Modern Techniques and Their Applications by Folland for measure theory background. If the TA has to homfwork to read what you have written, she will not grade the problem! Rockefeller Hall Instructor: Law of large numbers, Poisson and central limit theorems, and random walks.

Here are the full notes for the entire semester document is searchable and has working links. Homework 8, due March 15th: You may consult any printed or online source, but you must explicitly cite all sources besides the textbook and lecture notes.

# Math / (Functional Analysis)

Here is what the TA will be looking for in your solutions. Homework 8, due November 30th: Measure Theory by Cohn or Real Analysis: You may homewrk others on the problems, but in the end you are responsible for understanding the material.

The homework is an important most important part of this class. The solutions must be written clearly.

## Homework Of Modern Techniques Folland With Solution

These notes were written by John Pike for last year’s version solutiob this class. Here is the take-home final exam. The reference to a theorem from undergraduate analysis is underlined.

Malott Hall Office hours: Each techniaues is granted two free passes to turn in homework up to a week after the posted due date.

Also, though it is perfectly acceptable to consult outside resources for help on occasion, you should spend a reasonable amount of time thinking about the problem and attempting your own solution before doing so, and you are required to explicitly cite all sources other than the official text.

Other textbooks that you can look at for a different perspective: