MATH 425B/525B: Real Analysis of Several Variables

Section 1, Spring 2012

Last modified May 3, 2012 5:38 AM Go to Assignments below.
(Updated Apr 30 )
Offered by: 
Department of Mathematics, 
with the assistance of 
Ted Laetsch
  • Office: Math Room 205 (around to the right if you use the elevator to get to the second floor)
  • Office Hours/Discussion times:
    (See Jos Thomas' office hours below.)
    Discussion times are tentative. Changes will be posted here and announced in email to class.
    • Mondays, approx. 11:00 AM to approx. 11:50 AM, in Math Room 205.
    • Wednesdays, approx. 2:00 PM to approx. 2:50 PM, in Math Room 205.
    • Fridays, approx. 2:00 PM to approx. 3:00 PM, in the ThinkTank algebra tutoring room.
      (Priority is given to algebra ThinkTank students.)
    • Other times by appointment. Feel free to ask for an appointment at any time. Email is the best way to arrange an appointment.
  • Email: laetsch@math.arizona.edu
    Always include a "Subject" with any email. Email without a meaningful Subject line may be discarded without being opened.
  • Phone: 621-6860 with voice mail
  • My Classes:
    • MWF, 10 - 10:50 AM, Math 425B/525B
    • MWF,   1 -   1:50 PM, Math 323-3
and
Joseph Thomas(Graduate Teaching Assistant)
http://math.arizona.edu/~jthomas/math425ab/
Office Hours/Discussion times:
Discussion times are tentative. Changes will be posted here and announced in email to class.
  • Monday 12:00-1:00
  • Tuesday 2:00-3:00
  • Wednesday 3:00-4:00
  • Thursday 2:00-3:00
 Announcements
NEW
Notes on Stokes Formula, pp 1-2,
Notes on Stokes Formula, p 3

Coordinate Systems Solutions, Exercises 7-8.
Updated Thursday night, April 26.
Second Exam Scores.
Arclength Formula Proof, page 1 (preliminary version). (pdf document)
Coordinate Systems, pages 1-2. (pdf document updated 6 AM April 14)
Coordinate Systems, page 3. (pdf document updated 6 AM April 14)
First Exam Scores.

Project III, Derivatives.
Due Friday, March 23.
Updated Feb 27:
Exercises on bilinear functions, p. 1.

Link corrected Feb 28:
Exercises on bilinear functions, p. 2.

Posted Feb 29:
Exercises on bilinear functions, p. 3.

Updated Feb 26:
Notes on derivatives, p. 1.
Notes on derivatives, p. 2. (Updated Feb 26.)
Exercises on derivatives.

Equality of mixed second order derivatives (discussed in class on Feb 22, and the in-class discussion is probably necessary both for understanding the point and understanding what is going on)
Solutions, Exam 1, Problems 1-2.
Properties of translation of sets, relevant to Section 10.3, Exercise 7.
Solutions, Project I, Problems 1-3 (pdf document)
Neighborhoods. a summary of definitions of “neighborhood” and “interior point”, as discussed in class on Jan 25.
Course Policy
Email address:  As soon as possible,  please send me an email, from which I will take your email address to add to the list of email addresses for the class. If you have not yet sent me your email address, please do so as soon as possible. Be sure to include your NAME and your COURSE and section number.  Also, be sure to indicate in your email that this is the email address you want me to use for my email address list, since I do not check every email I receive to see if you are on my email list.
If you have sent me your email address and you are not receiving email from me, let me know.
Please note that when I send email to the class, everyone in the class might be able to see all email addresses.
I welcome email inquiries from students about homework questions, or any other questions you may have about the course. If you ask me a question about homework, however, please remember two things:
  • I don't necessarily have with me when I read your email the textbook or the worksheet which describes the problem you are asking me about. Even if the entire details of the assignment are written out online, it may be inconvenient to open my browser and check the assignment. So please give me a description of the problem you are asking me about.
  • Inquiries received the night before the assignment is due might not be answered in time to help you with homework due the following day.
Students with Disabilities: If you anticipate issues related to the format or requirements of this course, please meet with me to discuss ways to ensure your full participation in the course. If you determine that formal, disability-related accommodations are necessary, it is very important that you be registered with Disability Resources (621-3268) and notify me of your eligibility for reasonable accommodations. We can then plan how best to coordinate your accommodations.

Last modified May 2, 2012

 

Important Links

Assignments

Be sure to read the homework information in the Course Policy link to the left.
Links to the Lessons are to the right. right
left Links to the Projects (if any) are to the left.
CURRENT FINAL EXAM, Wednesday, May 9, 10:30 AM.
Last modified May 3  
Lessons 

Click on the Number of the Lesson to go to the Lesson.


46. Polar Coordinates (due May 2)

45. Permutation notation (due Apr 30)

44. Sect. 19.2-20.1 (due Apr 25)

42a. Arclength (due Apr 23)

42. Arclength (due Apr 18)

41. Coordinates (due Apr 16)

40a. Sect. 20.1 (due Apr 20)

40. Sect. 20.1 (due Apr 16)
(Updated Apr 14.)

39. Sect. 20.1 (due Apr 13)

38. Coordinates (due Apr 11)

37. Appendix B (due Apr 11)

36. Coordinates (due Apr 6)

35. Coordinates (due Apr 9)

34. Coordinates (postponed to Apr 9)
(Updated April 7)

33. Coordinates (due Apr 4)

32. Coordinates (due Apr 4)

31. Coordinates (due Apr 2)

30. Sect. 19.1 (due Apr 2)

29. Sect. 19.1 (due Mar 30)

28. Sect. 19.1 (due Mar 28)

27. Sect. 18.3 (due Mar 21)

26. Sect. 18.3 (due Mar 19)

25. Sect. 18.2 (due Mar 9)

24. Sect. 18.1 (due Mar 9)

23. Cartesian Products (due Mar 5)

22. Sect. 14.2-14.3 (due Mar 5)

21. Bilinear (due Mar 5)

20. Bilinear (due Feb 29)

19. Sect. 14.1 (due Feb 29)

18. Derivatives (due Feb 27)
(Updated Feb 26.)

17. Derivatives (due Feb 24)

16. Sect. 13.3 (due Feb 24)

15. Derivatives (due Feb 22)

14. Sect. 13.2 (due Feb 22)

13. Sect. 13.1 (due Feb 20)

12. Sect. 11.3 (due Feb 17)

11. Sect. 11.2 (due Feb 8)

10. Sect. 11.2 (due Feb 8)
(updated Feb 5

  9. Sect. 10.3 (due Feb 6)

  8. Sect. 10.3 (due Feb 6)

  7. Sect. 11.1 (due Feb 3)
(corrected 9:30 AM, Jan 31)

  6. Sect. 11.1 (due Feb 1)
(corrected 9:30 AM, Jan 31)

  5. Sect. 10.2 (due Jan 30)

  4. Sect. 10.2 (due Jan 30)

3a. Sect. 10.1 (due Feb 1)

  3. Sect. 10.1 (due Jan 25)

  2. Sect. 9.5 (due Jan 23)

1a. Sect. 8.1-8.3 (due Jan 20)

  1. Sect. 8.1-8.3 (due Jan 18)
Corrected 2:15 PM Jan 12

Write to your instructor laetsch@math.arizona.edu