Math 4710 & 5710 (Spring 2025) Homepage

4710 Syllabus Schedule

5710 Syllabus AsULearn

Extra Problems to Ponder

News & Announcements

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