MATH 323: Formal Mathematical Reasoning and Writing

Section 3, 1 PM MWF, Spring 2012

Last modified May 10, 2012 9:20 PM Go to Assignments
(Updated Apr 27)
Mathematics Makes Sense!
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 Umar Islambekov's discussion times 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 tutoring room IN THE REC CENTER.
      (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

Umar Islambekov, Graduate Teaching Assistant
  • Office: Math Room 514
  • Discussion times/Office hours (subject to change):
    • Tuesdays, 1 PM to approx. 2 PM, Math Room 514.
    • Thursdays, 2 PM to approx. 3 PM, Math Room 514.
  • Phone: (520) 626-0657
  • Email: uislambekov@math.arizona.edu


 Announcements
NEW

Project IV Scores.

Comments on Archimedes Lesson (pdf document).

Comments on Archimedes Lesson (html document).

Exam 4 Raw Scores (unadjusted)

Exam 4 Score Adjustments

Exam 4 Solutions (pdf document).
Updated noon, April 28.

Exam 3 Scores

Exam 3 Solutions, Problems 1-4a (pdf document).
Updated 11:30 PM, April 9.

See Project IV information under Important Links on the lower left.

See Project III information under Important Links on the lower left.
NEW Notice that the Friday 2 PM “office hour” has been moved to the ThinkTank tutoring room IN THE REC CENTER

Exam 2a Solutions, Problems 0-3 (pdf document.
Exam 2b Solutions, Problems 4, 5, 7 (pdf document) (Prob. 7 updated 4:10 PM Mar 13).
Exam 2a Solutions, Problems 8-10 (pdf document.

Exam 2 Scores

READ

Notes on Functions:
Images and Pre-images, discussion
Images and Pre-images, pictures
Surjective Proofs, discussion
(The discussion sbove also applies to proofs that the range of a function is a certain set, and that the image of a given set is a certain set.)
Defining Functions
Function Warnings: Codomains
Functions and Inverse Functions

READ


Notes on Set Builder Notation:
Set Builder Notation discussion

READ

Notes on Induction:
Induction Guidelines

Induction Checklist

Quiz on Starting Proofs

Exam 1 Scores

Solutions, Exam 1, Problems 2-6 (pdf document)
NEW
How To Write Things

Project Groups.
Updated Jan 30.
Comments on Lesson 1, including partial solutions (misprints in solutions corrected, noon, Jan 16, 2012).
Additional Project I Information

Final Version of Project I is due Friday, Feb 24.

Project Integrity Statement
This should be submitted as a cover sheet with your final version of any group project. Note that this requires you to vouch for the participation of all members of the group in the solution of the project, including but not limited to yourself.
Be sure to read all information below, including information about sending me your email address.

Course Policy   READ!
Email address:  As soon as possible,  please send me (laetsch@math.arizona.edu) an email, from which I will take your email address to add to the list of email addresses for the class. 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. You will be receiving email at least once a week, often at least once a day.
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.
Always include a Subject when sending email.
Also, if your email is regarding something for which I need to know who you are, such as a question about registration or scores, be sure to include your NAME (with last name) and your SECTION NUMBER. Remember, your email address alone does not necessarily tell me who you are.
Students with Disabilities: If you anticipate barriers related to the format or requirements of this course, please meet with me so that we can discuss ways to ensure your full participation in the course. If you determine that disability-related accommodations are necessary, it is very important that you be registered with Disability Resources (621-3268; drc.arizona.edu) and notify me of your eligibility for reasonable accommodations. We can then plan how best to coordinate your accommodations.

See other Important Links on the lower left.

Last modified May 10, 2012

The shame of speaking unskilfully were small if the tongue onely thereby were disgrac'd: But as the Image of a King in his Seale ill-represented is not so much a blemish to the waxe, or the Signet that seal'd it, as to the Prince it representeth, so disordered speech is not so much injury to the lips that give it forth, as to the disproportion and incoherence of things in themselves, so negligently expressed. Neither can his Mind be thought to be in Tune, whose words do jarre; nor his reason in frame, whose sentence is preposterous; nor his Elocution clear and perfect, whose utterance breaks itself into fragments and uncertainties. Negligent speech doth not onely discredit the person of the Speaker, but it discrediteth the opinion of his reason and judgement; it discrediteth the force and uniformity of the matter and substance. If it be so then in words, which fly and 'scape censure, and where one good Phrase asks pardon for many incongruities and faults, how then shall he be thought wise whose penning is thin and shallow? How shall you look for wit from him whose leasure and head, assisted with the examination of his eyes, yeeld you no life or sharpnesse in his writing?

Ben Jonson (emphasis added)

Important Links

Assignments

Be sure to read homework links which are listed under "Other course information" to the left and are also available through the Course Policy.
Links to the Lessons are to the right. to the right
to the left Links to the Projects are to the left.
Each class period beginning Jan 20: Turn in a 3"x5" index card with what you consider to be the most important mathematical fact or proof strategy stated during the previous class period.  More information.
CURRENT

FINAL EXAM, Monday, May 7, 1 PM.

NOTE: All due dates are tentative. Assignments, or parts of assignments, may be postponed to a later date.

Lessons

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

60. Sect. 12 (due 5/2/12)

59. Sect. 11 (due 4/30/12)

58. Sect. 12 (due 4/25/12)

57. Sect. 10 (due 4/23/12)

56. Sect. 10 (due 4/20/12)

55. Sect. 10 (due 4/18/12)

54. Sect. 10 (due 4/18/12)

52. Sect. 7 (due 4/23/12)

51. Sect. 7 (due 4/16/12)

50. Sect. 7 (due 4/11/12)

47.4. Sect. 7 (due 4/20/12)
(Updated 4:20 AM April 19)

47.3. Sect. 7 (due 4/18/12)

47.2. Sect. 7 (due 4/13/12)
(Corrected 6:45 PM April 12)

47.1. Sect. 7 (due 4/11/12)

46a. Sect. 8 (due 4/13/12)

46. Sect. 8 (due 4/9/12)

45.2. Sect. 7 (due 4/13/12)

45.1. Sect. 7 (due 4/9/12)

44. Sect. 7 (due 4/9/12)

43. Sect. 7 (due 4/6/12)

42. Sect. 7 (due 4/2/12)

41. Sect. 7 (due 3/30/12)
(Updated 8:30 PM Mar 28)

40a. Sect. 7 (due 4/2/12)

40. Sect. 7 (due 3/28/12)

39. Sect. 7 (due 3/28/12)

38. Sect. 6 (due 3/26/12)
(Updated 3 PM Mar 22.)

37. Sect. 7 (due 3/26/12)

36. Sect. 7 (due 3/23/12)

35. Sect. 6 (due 3/21/12)

34. Sect. 6 (due 3/19/12)

33. Sect. 6 (due 3/9/12)

32. Sect. 6 (due 3/9/12)

31. Sect. 6 (due 3/5/12)
(Updated 7:20 AM Mar 3.)

30. Sect. 6 (due 3/19/12)

29. Sect. 6 (due 3/2/12)

28a. Sect. 5 (due 3/7/12)

28. Sect. 5 (due 2/29/12)

27. Sect. 6 (due 2/29/12)
(Updated Feb 28.)

26a. Sect. 6 (due 3/2/12)

26. Sect. 6 (due 2/27/12)

25. Sect. 4 (due 2/27/12)
(link updated Feb 25)

24. Sect. 4 (due 2/24/12)

23a. Sect. 5 (due 2/29/12)

23. Sect. 5 (due 2/22/12)

21. Sect. 6 (due 2/20/12)

20. Sect. 4 (due 2/20/12)

19. Sect. 4-5 (due 2/17/12)
(Updated 2:30 PM Feb 11.)

18b. Sect. 3 (due 2/22/12)

18a. Sect. 3 (due 2/20/12)

18. Sect. 3 (due 2/15/12)

17. Sect. 4 (due 2/15/12)
(corrected 10:45 AM Feb 9)

16a. Sect. 5 (due 2/17/12)

16. Sect. 5 (due 2/13/12)

15. Sect. 3 (due 2/13/12)

14. Sect. 3 (due 2/10/12)

13. Sect. 3 (due 2/8/12)

12a. Sect. 2 (due 2/15/12)

12. Sect. 2 (due 2/8/12)

11. Sect. 2 (due 2/6/12)

10. Sect. 2 (due 2/1/12)

 9. Sect. 2 (due 1/30/12)

 8. Sect. 1 (due 1/30/12)

 7. Sect. 1 (due 1/30/12)

 6. Sect. 1 (due 1/27/12)

 5. Sect. 1 (due 1/25/12)

 4. Sect. 1 (due 1/25/12)

 3. Sect. 1 (due 1/23/12)

 2. Sect. 1 (due 1/20/12)

 1. Sect. 1 (due 1/13/12)

Write to your instructor laetsch@math.arizona.edu