Mathematics 713 Homepage

713 ABSTRACT REAL ANALYSIS (3+0) 3 credits 
Instructor  Course Section                       Time
------------------------------------------------------------------------
Eric Olson  001 Math 713 Abstract Real Analysis  MW 1:00-2:15am AB634

Announcements

[08-Dec-10] Fatou's Lemma

I've written a page that fills in the details about why gn converges pointwise to f in the proof given in our text of Fatou's Lemma.

[06-Dec-10] Take Home Quiz

There will be a take home quiz due Monday December 6. Here are some clarifications to the take home exam:

[04-Dec-10] No Recitation Saturday December 4

Recitation on Saturday December 4 is cancelled. However, I'm can come Saturday morning at 10am to hold addditional office hours. If you plan to come on Saturday morning please send an email to ejolson at unr.edu to confirm our meeting. Recitation will be held as usual Friday December 3 at 4pm.

[26-Nov-10] No Recitation on Thanksgiving

Recitations on Friday November 26 and Saturday November 27 are cancelled because of the Thanksgiving holiday.

[17-Nov-10] Midterm

There will be a exam on November 17. The exam is comprehensive. Please look at the review sheet.

[29-Oct-10] No Recitation on Nevada Day

Recitation on Friday October 29 is cancelled because of the holiday; however, there will be a recitation as usual on Saturday October 30 from 1-2pm.

[24-Oct-10] Typo in Homework 5

There was a error in problem 1 of homework assignment 5. The sum defining Bn(f) should have been from 0 to n rather than from 0 to infinity. The online version of homework 5 has now been changed to correct this error.

[23-Oct-10] Recitation Schedule

The recitation schedule will continue unchanged as long as there is sufficient interest. In particular, we will meet weekly on Friday from 4-5pm and Saturday from 1-2pm in the seminar room on the 3rd floor of DMS.

[11-Oct-10] Weierstrass Theorem Handout

Please read the proof of the Weierstrass approximation theorem which appears on pages 288-293 of Real Analysis with Real Applications by Davidson and Donsig.

[06-Oct-10] Quiz

There will be a quiz on October 6.

[29-Sep-10] Practice Quiz

We will take a practice quiz on Septemer 29 in preparation for the real quiz on October 6. The practice quiz will count as one homework assignment. Please look at the review sheet. Also note that I will be in a meeting on September 29 and unable to hold my usual office hours.

[27-Sep-10] Relatively Closed Subsets

The discussion on closed sets relative to a subset of the real numbers begun in class is concluded by working problem 2.52 on page 64 of McDonald and Weiss.

[27-Sep-10] Corrections to Notes

A student found an error on page 16 of the review summary from September 24 in the demonstration that the set E' of accumulation points is closed. There is now a corrected version of this proof.

[13-Sep-10] Lecture Notes

If you are reading the lecture notes and find an error, I would appreciate it if you tell me so I can make changes and post corrections.

[10-Sep-10] Review Sessions

Review are scheduled weekly for Friday from 4-5pm and Saturday 1-2pm. The first meeting will be on September 10 and continue each week as long as there is sufficient attendance. We will meet Friday in the seminar room on the 3rd floor of DMS. On Saturday DMS is locked so we will meet outside the building at the main entrance and walk to the room together. If you plan on coming late on Saturday please send me an email to make arrangements.

Course Information

Instructor:
Eric Olson

email:
ejolson at unr edu

Office:
MTW 11-noon Davidson Mathematics and Science Center 238 and by appointment.

Homepage:
http://fractal.math.unr.edu/~ejolson/713/

Texts: 
    I will be using the same book that has been used in the past:

 .  McDonald & Weiss, A Course in Real Analysis, Academic 
    Press, 1999.

Alex Kumjian has a webpage which contains solutions to many of
the homework problems from this text.

I have also ordered two supplementary texts
  
 .  Aliprantis & Burkinshaw, Principles of Real Analysis 3rd Ed,
    Academic Press, 1998.
  
 .  Aliprantis & Burkinshaw, Problems in Real Analysis 2nd Ed,
    Academic Press, 1998.

"Problems in Real Analysis" is a solution guide to the exercises
appearing in the "Principles of Real Analysis."  Another text is

 .  Jewgeni Dshalalow, Real Analysis, Chapman and Hall, 2001

which is available electronically through the UNR library.  A free
electronic text is

 .  William Ziemer, Modern Real Analysis, 1995
  
One way to prepare for 713 is to reread your undergraduate
analysis book.  If you did your undergraduate degree here, that
would be Math 310.  A nice undergraduate analysis book is 

 .  Frank Dangello, Michael Syfried, Introductory Real Analysis,
    Houghton Mifflin Company, 2000.

Grading

     2 Quizzes                 50 points each
     1 Midterm                 75 points each
     1 Final Exam             100 points
  7-10 Homework Assignments   4-6 points each
  --------------------------------------------
                              320 points total

Homework

Calendar

Aug 23  McDonald and Weiss Chapter 1
Aug 25  McDonald and Weiss Chapter 1

Aug 30  McDonald and Weiss Chapter 1
Sep 1   McDonald and Weiss Chapter 1

Sep 6   Labor Day (no class)
Sep 8   McDonald and Weiss Chapter 2

Sep 13  McDonald and Weiss Chapter 2
Sep 15  McDonald and Weiss Chapter 2

Sep 20  McDonald and Weiss Chapter 2
Sep 22  McDonald and Weiss Chapter 3

Sep 27  McDonald and Weiss Chapter 3
Sep 29  Practice Quiz

Oct 04  Discussion of Practice Quiz
Oct 06  Real Quiz

Oct 11  McDonald and Weiss Chapter 3
Oct 13  McDonald and Weiss Chapter 3

Lecture Notes

Review Session Notes

Quizzes and Exams

Final Exam

The final exam will be held on Monday, December 13 at noon-2pm in AB634.

Equal Opportunity Statement

The Mathematics Department is committed to equal opportunity in education for all students, including those with documented physical disabilities or documented learning disabilities. University policy states that it is the responsibility of students with documented disabilities to contact instructors during the first week of each semester to discuss appropriate accommodations to ensure equity in grading, classroom experiences and outside assignments.

Academic Conduct

Bring your student identification to all exams. Work independently on all exams and quizzes. Behaviors inappropriate to test taking may disturb other students and will be considered cheating. Don't talk or pass notes with other students during an exam. Don't read notes or books while taking exams given in the classroom. You may work on the programming assignments in groups of two if desired. Homework may be discussed freely. If you are unclear as to what constitutes cheating, please consult with me.
Last Updated: Wed Apr 21 14:42:01 PDT 2010