MATH 323: Formal Mathematical Reasoning and Writing

Section 1, Spring 2008


Last modified May 20, 2008 4:40 PM Go to Assignments
(Updated May 3)
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)
  • 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
and

Selin Kalaycıoğlu, Graduate Teaching Assistant
  • Office: Math 513
  • Email: kalaycioglu@math.arizona.edu
    Always include a "Subject" with any email. Email without a meaningful Subject line may be discarded without being opened.
  • Phone: 621-6883
and

Matt Hall, Undergraduate Teaching Assistant
  • Email: mjh2@email.arizona.edu
    Always include a "Subject" with any email. Email without a meaningful Subject line may be discarded without being opened.


Announcements
NEW Final Exam Problem 4, Comments

Some Solutions for the Final Exam

Projects II and IV Scores Summary

Project VI Scores

Projects I and III Scores

Semester Exam Scores Summary
Summary of Exercises Assigned from Textbook, Sections 8, 10, 11, 12, 16 (pdf document
SOLUTION, Project VI, Problem 3 (Examples) (pdf document)
SOLUTION, Lesson 53a (Word document)

SOLUTIONS, Project IV"

Previously posted solutions to homework, in-class work, and projects have been posted at the SOLUTIONS link under Important Links on the left below.

READ

Induction Warnings

Induction Checklist

READ


Notes on Functions:
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.)
Images and Pre-images, discussion
Images and Pre-images, pictures
Functions and Inverse Functions
Defining Functions
Function Warnings: Codomains
Exam 3 Comments (pdf document)
comments on where you have seen some of the Exam 3 problems before
Exam 3 Solutions, 1 (pdf document)
Exam 3 Solutions, 2-6 (pdf document)
Exam 3 Scores.
Exam 2 Comments,
comments on some of the errors made in the student solutions to Exam 2. (Corrected Mar 11.)
Exam 2 Scores.
Exam 2 Solutions, 0-3 (pdf document).
Exam 2 Solutions, 4-7 (pdf document).
Proof Structure (pdf document)
Proof Structure (Word document)


READ

HDYSTP

Discussion of homework errors (from emails of Feb 5)


READ

Proving Theorems, three methods This is a review of some of what was discussed on the first two days of class.

Discussion of Lesson 1.
The purpose of this Lesson, and the discussion in class, and this online discussion, is to help you avoid the errors in negation which many students are still making when negating sentences with plural subjects or plural predicates.

Exam 1 Scores.
Exam 1 Solutions, 2-4b (pdf document).
Exam 1 Solutions, 4c-6 (pdf document).

Course Policy   READ!


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.

See other Important Links on the lower left.

Last modified May 19

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 23: 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
Friday, May 16

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

Last modified May 11

Lessons

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


60. Sect. 2 and 16 (due 5/05/08 or 5/07/08)

59. Sect. 16 (due 5/05/08)

58. Nonsense (due 5/02/08)
Handed out in class on Apr 30.

57. Sect. 2 and 7 and Project VI (due 4/30/08)

56a. Sect. 10 (due 5/05/08)

56. Sect. 10 (due 4/30/08)

55. Sect. 16 (due 4/28/08)
(Corrected Apr 25.)

54a. Sect. 12 (due 5/02/08)

54. Sect. 12 (due 4/28/08)

53a. Sect. 16 (due 4/30/08)
(Updated Apr 26, 11:50 PM.)

53. Sect. 16 (due 4/25/08)

52. Sect. 12 (due 4/25/08)
(Updated April 23.)

51. Sect. 12 (due 4/23/08)

50. Sect. 12 (due 4/21/08)

49. Sect. 12 (due 4/21/08)

48a. Sect. 10 (due 4/28/08)

48. Sect. 10 (postponed to 4/23/08)
(Updated Apr 19)

47. Sect. 11 (due 4/14/08)

46. Sect. 10 (due 4/14/08)

45b. Sect. 7 (due 4/23/08)
(Updated Apr 21)

45a. Sect. 7 (due 4/18/08)

45. Sect. 7 (due 4/11/08)
(Updated Apr 8)

44.5. Sect. 7 (due 4/18/08)
(Link corrected April 12)

44. Sect. 7 (due 4/11/08)

43.5. Sect. 8 (due 4/16/08)

43. Sect. 8 (due 4/09/08)

42a. Sect. 5 (due 4/14/08)

42. Sect. 5 (due 4/09/08)

41c. Sect. 5 (due 4/21/08)

41b. Sect. 5 (due 4/16/08)

41a. Sect. 5 (due 4/11/08)
(Updated Apr 4)

41. Sect. 5 (due 4/04/08)

40. Sect. 7 (due 4/04/08)

39. Sect. 7 (due 4/02/08)

38a. Sect. 7 (due 4/02/08)
(due again 4/09/08)
(Instructions expanded Apr 2)

38. Sect. 7 (due 3/31/08)

37b. Sect. 7 (due 3/28/08)

37a. Sect. 7 (due 3/26/08)

36b. Sect. 7 (due 3/28/08)

36a. Sect. 7 (due 3/26/08)
(due again 3/31/08)

35a. Sect. 7 (due 3/31/08)

35. Sect. 7 (due 3/24/08)

34b. Sect. 5 (due 4/02/08)

34a. Sect. 5 (due 3/26/08)
Updated Mar 15, 8 AM.
Problem 6 clarified Mar 21, 2:30 PM.


34. Sect. 5 (due 3/14/08)

33. Sect. 7 (due 3/14/08)

32. Sect. 7 (due 3/12/08)

31. Sect. 7 (due 3/10/08)

30a. Sect. 7 (due 3/24/08)

30. Sect. 7 (due 3/10/08)

29. Sect. 6 (due 3/7/08)

28. Sect. 6 (due 3/3/08)

27. Sect. 6 (due 3/3/08)

26. Sect. 6 (postponed to 3/7/08)

25. Sect. 6 (due 2/29/08)
Updated Feb 27

24. Sect. 6 (due 2/29/08)

23. Sect. 6 (due 2/27/08)

22. Elementary (due 2/27/08)

21a. Sect. 5 (due 3/3/08)

21. Sect. 5 (due 2/25/08)

20a. Sect. 6 (due 2/29/08)

20. Sect. 6 (due 2/25/08)

19. Sect. 6 (due 2/22/08)

18. Sect. 4 (due 2/22/08)

17. Sect. 2, 6 (due 2/20/08)

16b. Sect. 4 (due 2/27/08)

16a. Sect. 4 (due 2/22/08)
(Updated 5:05 PM Tuesday, Feb 19)

16. Sect. 4 (due 2/18/08)

15. Sect. 4 (due 2/15/08)

14a. Sect. 4 (due 2/18/08)
(Updated 11:30 AM Thursday, Feb 14)

14. Sect. 4 (due 2/13/08)

13b. Sect. 3 (due 2/20/08)

13a. Sect. 2, 3 (due 2/18/08)
(Updated 11:30 AM Thursday, Feb 14)

13. Sect. 2, 3 (due 2/13/08)

12b. Sect. 4 (due 2/20/08)

12a. Sect. 4 (due 2/15/08)

12. Sect. 3, 4 (due 2/11/08)

11. Sect. 2 (due 2/6/08)

10. Sect. 2, 3 (due 2/4/08)

9a. Sect. 2 (due 2/4/08)

 9. Sect. 2 (due 2/1/08)

 8. Sect. 1 (due 2/1/08)

 7. Sect. 2 (due 1/30/08)

 6. Sect. 1 (due 1/30/08)

 5. Sect. 1 (due 1/28/08)

 4. Sect. 1 (due 1/28/08)

 3. Sect. 1 (due 1/25/08)

 2. Sect. 1 (due 1/25/08)

 1. Sect. 1 (due 1/18/08)

 0. Course Policy (for 1/18/08)

Write to your instructor laetsch@math.arizona.edu