Welcome to Math 766, Spring 2019

Instructor Geng Chen

    Office: 623 Snow Hall

    Email: gengchen at ku dot edu

    Class webpage: http://people.ku.edu/~g828c364/math766.html

    Class meet: Monday, Wednesday 11:00-12:15 pm, Snow 564

    Office Hours: Monday & Tuesday 2-3. Other hours are by appointment.

    Textbook: William R. Wade, An Introduction to Analysis, Prentice Hall, 4th Edition.

Description

This course is the second part of real analysis at the graduate level following by Math 765. It continues with the following topics from Chapters 7, 8, 10, 11 and 12 (if time is permitted): infinite series of functions, the Topology in the Euclidean spaces, Metric spaces, Differentiability and Integration on R^n. We skip Chapter 9 because Chapter 10 covers the topics of Chapter 9 in a more general setting.

Homework

We plan to have 6 homework assignments. Most homework problems are picked from the book. The homework will be posted on this class webpage. The temporary schedule is given.

Homework 1: (Due on Feb 13), 7.1: 1, 3, 4, 6, 8; 7.2: 1, 2, 4, 5, 7.
Homework 2: (Due on Feb 25), 7.3: 1(a)(b)(c), 2(a)(b)(c), 3, 6; 7.4: 1(a), 2(b).
Homework 3: (Due on March 4), 8.3: 1, 2, 6; 8.4: 3, 6, 7.
Homework 4: (Due on April 3), 10.1: 4, 10; 10.2: 2; 10.3: 1(b); 10.4: 2, 10; 10.6: 3, 5.
Homework 5: (Due on April 15), 11.1: 3, 4; 11.2: 1, 3, 4; 11.3: 4.
Homework 6. (Due on April 22), 11.4: 4; 11.5: 3, 4; 11.6: 1(a)(c), 2(b)(c), 6.
Homework 7 (Final Project). (Due on May 1), State and prove: Arzela Ascoli Theorem and Stone-Weierstrass Theorem (Thm 10.69 on page 379).

Exams

There are two exams:

Exam 1, March 20. (Chapters 7, 8.)
Exam 2, April 24. (Chapters 10, 11.)

Grade computation


Exam 1: 30%
Exam 2: 30%
Seven homework: 35 points
Attendance and performance in class: 5%

A: >=90
B: >=80
C: >=70
D: >=60
F: 0-60

Grades A-, B+ and B- will be considered.

Your Responsibilities

Although I do want you to work together and help each other out, everything you turn in must be your own work! If in doubt, ask! Cheating of any type will not be tolerated and will be harshly dealt with. Please let me know in advance of any circumstances which may prevent you from attending classes.

Missing exam policy

You are supposed to come to every classes. But if you meet an emergency in the exams. You should let me know right after exam (within 1 day), and also prepare paperwork showing your emergency. Then I would give you a makeup exam. If you have conflict on exams due to reasonable and forseeable reasons, then you must let me know two weeks before exams.