Department of Mathematics: Math 765- Fall 2017

MATH 765 - Theory of Functions I

Fall 2017

Course Information

Lectures

MW 7:35 - 8:50 a.m.

Room: 302 SNOW HALL

Line # 12435

Exams

Grading

Homework

Course Content

Instructor:	Prof. Rodolfo H. Torres Office: 546 Snow - TE : 864-7310 e-mail: torres"AT"ku.edu web page: http://torres.faculty.ku.edu/765/

Office Hours:	Wednesday 2:00-3:00 p.m. and by appointment.

Textbook:	An Introduction to Analysis by W. R. Wade (4th Edition), Prentice Hall, 2010 (Required). Additional suggested reading: Principles of Mathematical Ananlysis by W. Rudin, McGraw-Hill, 1976.

GTA:	Peter Lewis Office: 547 Snow e-mail: plewis85 "AT" ku.edu web page: http://www.math.ku.edu/~plewis

GTA's Office Hours:	Monday 9:00 a.m. - 10:00 a.m. and Wednesday 3:00-4:00 p.m.

Grader's Office Hours:	By appointment. Contact Ning Wan wan@ku.edu

Optional Problem Session:	Friday 8:00-8:50 a.m. 302 Snow Hall

Prerequisites:	Minimum: Math 223 and Math 290 or equivalent. Preferred: Math 500 or equivalent. If you have not taken Math 500 you are discouraged to take the class unless you talk to the instructor first.

Classes

You should read the book and attempt to solve some of the problems in preparation for each class.

Homework

Homework problems will be assigned practically every week. Homework is a major part of the learning process in Mathematics. It is essential that students work on the problems on a regular basis. Students are encouraged to work and discuss the problems in groups, but they should turn in individual solutions. The problems will be usually listed on the course web page but the students should contact the instructor for the latest update of the assignments. Homework will be collected and distributed during the problem session.

No late homework assignments will be accepted.
Exams The course has two In-class Exams . The specific material to be covered in the in-class exams will be properly announced in advance. The final exam is comprehensive.

IN-CLASS EXAMS: Friday, September 29; and Friday, November 10

FINAL EXAM: Monday, Dec. 11, 7:30 a.m. - 10:00 a.m. (in-class in our usual room)

Grading Your grade in the course will be determined by the number of points that you accumulate. The points are distributed in the following way:

Homework	200 points
In-class Exams 1 and 2	200 points
Final Exam	200 points

Total	600 points

A total of 90% of the points will guarantee an A, 80% a B, 70% a C, and 60% a D.

Course Content

We will try to cover the following material (approximately one section of the book per class; check the Timetable for updated information).

Chapter 1. The Real Number System, Sec. 1.1, 1.2, 1.3, 1.4, 1.5, 1.6. (This should be mostly review and you may have to read some of the material on your own.)
Chapter 2. Sequences in R. Sec. 2.1, 2.2, 2.3, 2.4, 2.5.
Chapter 3. Continuity on R. Sec. 3.1, 3.2, 3.3, 3.4.
Chapter 4. Differentiability on R. Sec. 4.1, 4.2, 4.3, 4.4, 4.5.
Chapter 5. Integrability on R. Sec. 5.1, 5.2, 5.3, 5.4.
Chapter 6. Infinite Series of Real Numbers. Sec. 6.1, 6.2, 6.3, 6.4.
If time permits, we will start with Chapter 7. Infinite Series of Functions
If some of these topics are not covered in 765 for reasons of time, they will covered in Math 766.

Contact the instructor for updates.

Students with disabilities
The staff of Services for Students with Disabilities (SSD), 135 Strong, 785-864-2620, coordinates accommodations and services for KU courses. If you have a disability for which you may request accommodation in KU classes and have not contacted them, please do as soon as possible. Please also see me privately in regard to this course.

Policy on religious observances
Any student in this course who plans to observe a religious holiday which conflicts in any way with the course schedule or requirements should contact the instructor as soon as possible to discuss alternative accommodations

Intellectual Property
Course materials prepared by the instructors, together with the content of all lectures and review sessions presented by the instructors are the property of the instructors. Video and audio recording of lectures and review sessions without the consent of the instructor is prohibited. Permission to make such recordings may be granted by the instructor on a case by case basis, on the condition that these recordings are used only as a study aid by the individual making the recording. Unless explicit permission is obtained from the instructor, recordings of lectures and review sessions may not be modified and must not be transfered or transmitted to any other person, whether or not that individual is enrolled in the course.

Math 765 MathDep R. H. Torres

The instructor reserves the right to modify the information given here and/or any web page for the class.
This file was last modified 11/15/17 01:54:08 PM