Math 4710 & 5710 (Spring 2025) Homepage

4710 Syllabus Schedule

5710 Syllabus AsULearn

Extra Problems to Ponder

News & Announcements

5/07

Done! Presentations went very well. I've sent out a final grade report.

Just because this class is over doesn't mean we need to be strangers. If you every have any questions mathematical or otherwise, don't hesistate to ask. I'm happy to help if I can!

4/21

Last Things:
• "Almost Final Exam" is due Wednesday at 5:30pm.
• Homework #10 [Source: (.tex)] is due Wednesday, April 30^th.
• Final Project Presentations - Wednesday, May 7^th 8-10:30am.
   → Final Project Guidelines

A last handout:
• Separation Axioms + Odds and Ends [Source: (.tex)]

4/09

(Planned) Remaining Items:
• Homework #9 [Source: (.tex)] is due Friday.
• Almost Final Exam (coming soon - Monday?)
• Homework #10 (?due last day of class?)
• Final Project Presentations - Wednesday, May 7^th 8-10:30am.
   → Final Project Guidelines

4/02

Homework #9 [Source: (.tex)] is due Friday, April 11^th.

3/26

Homework #8 [Source: (.tex)] is due Wed., April 2^nd Friday, April 4^th.

Mistakes were made! I've amended problem #2 accordingly. Sorry all!

3/05

Semi-Relevant Resources:
• A maple worksheet showing circles in various metrics.
• Inner Product Space Definitions [Source: (.tex)]
• $\mathbb{R}^n$'s Structures [Source: (.tex)]

Homework #7 [Source: (.tex)] is due Wednesday, March 19^th.

2/26

Homework #6 [Source: (.tex)] is due Wednesday, March 5^th.

2/17

Homework #5 [Source: (.tex)] is due Monday, February 24^th Wednesday, February 26^th.

2/10

Homework #4 [Source: (.tex)] is due Monday, February 17^th.

1/29

Homework #3 [Source: (.tex)] is due Monday, February 3^rd.

Set Test is Wednesday, February 5^th.
[The take home portion of the Set Test will be due Monday, February 10^th at the beginning of class.]

The old Test #1 from Fall 2014's tests provides an idea of the kinds of things I might ask. As noted in class, I think its in class portion might be a bit too long. Also, suggested homework from Munkres might be good to ponder. Finally, our Homeworks #1, #2, & #3 plus their answer keys are (or will be when I send them out) great study resources

Note: I should have Homework #2's key sent out on Monday and Homework #3's key sent out on Tuesday.

1/27

Handouts & Resources:
• Cantor-Schroder-Bernstein [Source: (.tex)]
• Zermelo-Frankel Axiom of Choice Set Theory [Source: (.tex)]
• A paper (with Mike Bosse) discussing cardinals and ordinals:
      Types of Infinity
• If you care, math-garden.com has
      proofs of cardinal arithmetic formulas [see Chapter 8].

1/24

Sort of Relevant:
• Well Order <==> Math Induction in the context of the integers:
      Euclidean Algorithm and Basic Number Theory [Source: (.tex)]

1/22

Homework #2 [Source: (.tex)] is due Wednesday, January 29^nd.

1/17

Semi-Relevant Handouts:
• Equivalence Relations and Partial Orders [Source: (.tex)]
    Companion video: Equiv. Rels., Partitions, and Partial Orders (75 mins)
• Characterizing the Reals [Source: (.tex)]
• Axioms for the Reals [Source: (.tex)]

1/15

Handout:
• ?Fun? Function Facts [Source: (.tex)]

Homework #1 [Source: (.tex)] is due Wednesday, January 22^nd.

1/03

The syllabi for Math 4710 & Math 5710, tentative schedule, & asULearn have been updated.

If you have any questions specifically about this course, please feel free to contact Dr. Bill Cook at: cookwj@appstate.edu