M365C Real Analysis I in Fall 2011

M365C Fall 2011

Real Analysis I, unique # 55440


Instructor: Thomas Chen
Office: RLM 12.138.
Office hours: TUE 11:30 AM - 12:30 PM. THU 12:30 - 1:30 PM.
Email: t c A_T m a t h . u t e x a s . e d u
Phone: (512) 471 7180
Lectures: Tuesdays and Thursdays, 9:30 - 11:00 AM
Location: ENS 109.



Grader: William Carlson
Office: RLM 9.128.
Office hours: Thursdays 4 - 5 PM.
Email: w c a r l s o n A_T m a t h . u t e x a s . e d u

Syllabus and Course Information


A rigorous treatment of the real number system, Euclidean spaces, metric spaces, continuity of functions in metric spaces, differentiation and Riemann integration of real-valued functions of one real variable, and uniform convergence of sequences and series of functions.

Syllabus and prerequisites. For important dates, see the academic calendar.

Updated course information will be posted here. Weekly homework assignments will be posted on Blackboard.

Please be sure to check this website regularly.

Textbook: Principles of Mathematical Analysis by Walter Rudin. 3rd Edition, McGraw Hill.

We will treat the material in chapters 1 - 7 of Rudin's book.

Tentative schedule:
  • Week 1 (8/25): Chapter 1
  • Week 2 (8/30, 9/1): Chapter 1
  • Week 3 (9/6, 9/8): Chapter 2 (Q-drop deadline)
  • Week 4 (9/13, 9/15): Chapter 2
  • Week 5 (9/20, 9/22): Chapter 2, Midterm I on Thursday, September 22.
  • Week 6 (9/27, 9/29): Chapter 3
  • Week 7 (10/4, 10/6): Chapter 3
  • Week 8 (10/11, 10/13): Chapter 4
  • Week 9 (10/18, 10/20): Chapters 4, 5
  • Week 10 (10/25, 10/27): Chapter 5
  • Week 11 (11/1, 11/3): Chapters 5, 6
  • Week 12 (11/8, 11/11): Chapter 6
  • Week 11 (11/15, 11/17): Chapter 6, Midterm II on Tuesday, November 15.
  • Week 12 (11/22, 11/24): Chapter 7
  • Week 13 (11/29, 12/1): Chapter 7
Class attendance is required. This is a difficult course; you need to keep track of the material as we go along and stay up to date.

Homework


Collaborations are encouraged, but you have to present your own solutions. Simply copying somebody else's work is not acceptable.

The handin time of the HW's is at the beginning of the Thursday classes (or earlier). No late handins are accepted.

Homework Assignments

Will all be posted on Blackboard under "Course Documents".
  • HW-1 due Thursday, September 1.
  • HW-2 has been posted. Due on Thursday, September 8.
  • HW-3 has been posted. Due on Thursday, September 15. Typo corrected on Sep 8, 10:30 PM.
  • HW-4 has been posted. Due on Thursday, September 29 (extended time due to Midterm 1).
  • Midterm 1 on Thursday, September 22.
    Info is posted on Blackboard. Eventual info updates will be announced here.
    Change of office hours in the week of Sep 19: Office hours on Mo, Sep 19, 12:30 - 2 PM instead Tu, Th.
    Solutions have been posted.
  • HW-5 has been posted. Due on Thursday, October 6.
    Solutions have been posted.
  • HW-6 has been posted. Due on Thursday, October 13.
    Solutions have been posted.
  • HW-7 has been posted. Due on Thursday, October 20.
    Solutions have been posted.
  • HW-8 has been posted. Due on Thursday, October 27.
    Solutions have been posted.
  • HW-9 has been posted. Due on Thursday, November 3.
    Solutions have been posted.
  • Midterm 2 on TUESDAY, November 15.
    Solutions have been posted.
  • HW-10 has been posted. Due on Thursday, November 17.
    Solutions have been posted.
  • HW-11 has been posted. Due on Thursday, December 1.
    Solutions have been posted.
  • HW-12 has been posted. These are exercises that will not be graded.
    Solutions have been posted.
  • FINAL EXAM on FRIDAY, December 9, Time: 2 - 5 PM. Location: WRW 113.
    Office hours: Tuesday, Dec 6, 10 AM - 1 PM.

Exams and Grades


There will be two in-class midterms, and one final exam.

The in-class midterms take place during regular class hours, and in the usual classroom, ENS 109:

Midterm I on Thursday, September 22.

Midterm II on Tuesday, November 15.

Please save these dates, there will be no make-up exams !

Final Exam on Friday, December 9, 2 - 5 PM. Location: WRW 113.

It is implicit in your registration for this class that, barring some unforeseen calamity, you affirm to be present to take the final examination at this time.

The course grade will be determined as follows:

Homework: 10 percent
Midterm 1: 25 percent
Midterm 2: 25 percent
Final Exam: 40 percent


Range of letter grades: A, A-, B+, B, B-, C+, C, C-, D+, D, D-, F.

The University of Texas at Austin provides upon request appropriate academic accommodations for qualified students with disabilities.
For more information, contact the Office of the Dean of Students at 471-6259, 471-4641 TTY.