Class Information:
- class syllabus revision:
As discussed via email, we will no longer have a final exam on perfect numbers. Your grade will be based on the following scale:
5% rough draft
45% final paper
50% presentation
- A youtube video that I made to show you how to use zoom for our class.
- The final exam study guide is here.
- The syllabus is here
- Information on the presentation and paper is here.
- Ideas for topics for your paper are here.
- Google slides
- Library math research guide
- The Great Internet Mersenne Prime Search
- The known Mersenne primes
- Some papers on Mersenne numbers and even perfect numbers
Example Latex template:
- You can replace the stuff in this template to write a paper with LaTeX if you want. Note it also teaches you how to write in LaTeX at the same time. Note: When you compile it, you may have to compile it twice to get the ?? to dissapear and the references / citations to appear.
LaTeX program download:
- Go here to get windows, mac, or linux versions of LaTeX. I use the MacTex distribution on my mac. I used the MikTex distribution when I was using a Windows PC.
Example powerpoint talks:
- Talk on Gaussian primes
- Talk on expander graphs
Mathematica programs:
- Lucas Lehmer test programs
Perfect numbers links:
- Solving the odd perfect number problem: some old and new approaches, by Jose Arnaldo Dris, Master's thesis, De La Salle University, 2008.
- Perfect Numbers and Mersenne Primes, by Barry Delello, Master's thesis, University of Central Florida, 1986.
- Euclid's proof on perfect numbers from Elements Book IX Prop 36
- Euler was working on this book on number theory. See chapter 3 for the perfect number info. The integral notation is the sigma function. He loved calculations. Take a look at notes 88, 89, and 100.
- Wiki page for Lucas-Lehmer test for the primality of Mersenne numbers.
SCHEDULE | ||
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Week | Monday | Wednesday |
1 |
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1/22 Shaheen first day
|
2 |
1/27
|
1/29 |
3 |
2/3 |
2/5
|
4 |
2/10
|
2/12 |
5 |
2/17
|
2/19 |
6 |
2/24 |
2/26
|
7 |
3/2
|
3/4 work on paper / presentation day |
8 |
3/9
|
3/11 work on paper / presentation day |
9 |
3/16
Yanet C. Pythagorean Theorem
|
3/18
Yesenia T. Rings and ideals of rings
Paul Y. Generalized linear models |
10 |
3/23
Melissa V. Graphs algorithms like Dijkstra and Prim
Jason T. Analysis of variance
|
3/25
Cynthia C. Catalan numbers
Cynthia V. Edge coloring and matching
ROUGH DRAFT OF PAPER IS DUE
|
Spring Break |
3/30 HOLIDAY!
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4/1 HOLIDAY!
|
11 |
4/6
Jonathan T. Cryptography - Diffie Hellman
Ariella R. Magic squares, magic cubes
|
4/8
Angel C. Cryptography - RSA
Daniel M. Special distributions in probability
|
12 |
4/13
Audrey L. Line graphs
Brianne G. Fibonnaci numbers and the golden ratio |
4/15
Joshua D. Traveling salesman and NP-complete problems
Jacob E. Linear algebra and determining the proper college football's ranking/playoffs selections
|
13 |
4/20
Nam H. PageRank
|
4/22
Edgar G. ???
Vinh L. existence/uniqueness of solutions to different equations
|
14 |
4/27
Stephanie L. Combinatorial game theory
Francisco L. topology topic
|
4/29
Stephen D. Basics of measure theory
Janet L. Tesselations
|
15 |
5/4
Nick E. vertex graph coloring
Danny D. Construction of R using Cauchy sequences
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5/6
Luis R. Construction of R using Dedekind cuts
Gosia D. Ulam's sprials
Cecilia G. Recurrence relations
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Finals week |
5/11 Final Exam Period 5pm - 7pm
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5/13
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