FULLERTON COLLEGE

 

MATH COLLOQUIUM & ASSOCIATION

ARCHIVE OF EVENTS

Fall 2011

Math Colloquia were held jointly with meetings of Math 295 Mathematics Seminar (new course!)) and the Math Association,

Tuesdays, 4-5:50pm in Room 621

(unless otherwise stated below)

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FALL 2011 OFFICERS:

PRESIDENT: DAVID ENG**VICE-PRESIDENT: BEN HARTLEY

INTERCLUB COUNCIL REPRESENTATIVE: ALEX SABIN**SECRETARY: MELISSA RIDDLE

TREASURER: JOSHUA DUBON

*

Co-organizers:

Dr. Dana Clahane dclahane(AT)fullcoll(DOT)edu & Dr. Bill Cowieson wcowieson(AT)fullcoll(DOT)edu

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Date

Speaker

Affiliation

Title of Talk

T 8/16/11

 

(19 students and 2 faculty members participated)

Dr. Dana Clahane

Fullerton College

Characterizing the real sequences that generate bounded power series in one real variable

 

Abstract here

 

Jordan Bakke

UCLA

(former Math 150B student of Dr. Clahane)

An introduction to multisets

 

Abstract here

T 8/23/11

 

(13 students and 3 faculty members participated)

Dr. Bill Cowieson

Fullerton College

Hadwiger’s conjecture that any bounded convex set in n-space can be covered by 2n similar but shrunken copies of the same set (known to be true for n=1,2 but not for n=3)

 

Joshua Dubon

Fullerton College

(Math 295 student of Dr. Clahane and Math 250A student of Stephen Plett)

Composition operators on Bloch-Orlicz spaces

F 8/26/11

 

(10 students and 3 faculty members participated)

Dr. Dana Clahane,

Dr. Bill Cowieson,

Paul Sjoberg, co-coaches

 

Practice Session #1 for Round 1 of the American Mathematical Association of Two-Year Colleges (AMATYC) Student Math League National Competition

Room 615

 

11am-2pm

T 8/30/11

 

(26 students and 4 faculty members participated)

Dr. John Lowengrub

UC Irvine

Feedback, lineages, and cancer

 

Abstract here

 

Melissa Riddle

Fullerton College

(A Math 295 Mathematics Seminar student of Dr. Clahane)

The Riemann hypothesis, also known as the Riemann-zeta conjecture

 

 

 

Math 295 – 4 unsolved problem statements due (2 applied and 2 pure, mutually agreed upon by students and Dr. Clahane)

T 9/6/11

 

23 students and 3 faculty members participated

Dr. Dana Clahane

Fullerton College

Schanuel’s conjecture

 

Abstract here

 

Kevin Oskar Negron

Fullerton College (Dr. Clahane’s Math 295 student) & CSU Fullerton

p-adic calculus

 

Mentor: Dr. Zair Ibragimov

 

Abstract here

T 9/13/11

 

(15 students and 3 faculty members participated)

Dr. Bill Cowieson

Fullerton College

The inverse Galois problem

 

Dylan Knuth

Fullerton College

(one of Dr. Clahane’s Math 295 students)

How many distinct binary operations on the power set of a finite set are quandle operations?

 

 

 

Math 295 Website #1 due

T 9/20/11

 

(15 students and 5 faculty members participated)

Dr. Peter Jipsen

Chapman University

The finite congruence lattice representation problem in universal algebra

 

Click on the above title to view Dr. Jipsen’s notes for this talk

 

Abstract here

 

Nick Systad

Fullerton College

(one of Dr. Clahane’s Math 250A and 295 students)

The unsolved portion of Hilbert’s seventh problem

 

Click on the above title to view Mr. Systad’s presentation

 

 

 

Math 295 – Terminology and examples for problem statements due

T 9/27/11

 

(11 students and 2 faculty members participated)

Dr. Dana Clahane

Fullerton College

The 1/3-2/3 conjecture

 

Don Frank

Fullerton College

 

(Math 295 student of Dr. Clahane)

Erdős’ conjecture that a square cannot be dissected into squares of different sizes (solved) & the Erdős-Strauss conjecture (unsolved)

Th 9/29

 

4-5:30pm, Rm. 621

 

 

Math Association Laboratory Meeting

F 9/30/11

 

(12 students and 3 faculty members participated)

Dr. Dana Clahane,

Dr. Bill Cowieson,

Paul Sjoberg, co-coaches

Fullerton College

Practice Session #2 for Round 1 of the American Mathematical Association of Two-Year Colleges (AMATYC) Student Math League National Competition

Room 615

 

 

Click here to view a .pdf file containing outlines of solutions to the Fall 2005 exam

 

11am-2pm

T 10/4/11

 

(13 students and 3 faculty members participated)

Dr. Bill Cowieson

Fullerton College

The Cameron-Erdős conjecture

 

Alex Higgins

Fullerton College

 

(Math 295 and Math 250A student of Dr. Clahane)

Weighted perfectness and the question of whether or not there is an odd perfect number

 

Click here to view Mr. Higgins’ presentation slides (joint with Jin Choe) on this problem

Th 10/6/11

 

4-5:30pm, Rm. 621

 

 

Math Association Laboratory Meeting

F 10/7/11

 

(16 students and 3 faculty members participated)

Dr. Dana Clahane,

Dr. Bill Cowieson,

Paul Sjoberg, co-coaches

 

Practice Session #3 for Round 1 of the American Mathematical Association of Two-Year Colleges (AMATYC) Student Math League National Competition

Room 615

 

11am-2pm

T 10/11/11

 

(12 students and 2 faculty members participated)

Dr. Dana Clahane

Fullerton College

The Erdős-Szekeres conjecture

 

Jose Sanchez

Fullerton College (a Math 150B Calculus II & Math 295 Mathematics Seminar student of Dr. Clahane)

Counting the number of groups of a given order and the gnu hunting conjecture

Th 10/13/11

 

4-5:30pm, Rm. 621

 

 

Math Association Laboratory Meeting

 

 

 

Math 295 Website #2 due

F 10/14/11

 

(14 students and 3 faculty members participate)

Dr. Dana Clahane,

Dr. Bill Cowieson,

Paul Sjoberg, co-coaches

 

Practice Session #4 for Round 1 of the American Mathematical Association of Two-Year Colleges (AMATYC) Student Math League National Competition

Room 615

 

11am-2pm

T 10/18/11

 

(14 students and 2 faculty members participated)

Dr. Dana Clahane

Fullerton College

The AgohGiuga conjecture

 

Justin Gottula

Fullerton College

(a Math 299 student of Dr. Clahane)

Using C++ to generate or count quandle tables on finite sets

Th 10/20/11

 

(10 students and 1 faculty member participated)

 

4-5:30pm, Rm. 621

 

 

Math Association Laboratory Meeting

F 10/21/11

 

(18 students and 3 faculty members participated)

Dr. Dana Clahane,

Dr. Bill Cowieson,

Paul Sjoberg, co-coaches

 

Final Practice Session #5 for Round 1 of the American Mathematical Association of Two-Year Colleges (AMATYC) Student Math League National Competition

Room 615

 

11am-2pm

T 10/25/11

 

(15 students and 3 faculty members participated)

Dr. Bill Cowieson

Fullerton College

Andrica’s conjecture

 

Dylan Knuth

Fullerton College

(a Math 295 student of Dr. Clahane)

Can the sum of five sixth powers of positive integers be equal to the sixth power of another positive integer?

 

 

 

Math 295 – Problem histories due, with references cited

Th 10/27/11

 

4-5:30pm, Rm. 621

 

 

Math Association Laboratory Meeting

Fri 10/28/11

 

(A record 77 students participated)

Dr. Dana Clahane,

Dr. Bill Cowieson,

Paul Sjoberg, co-coaches

 

Round 1 of the American Mathematical Association of Two-Year Colleges (AMATYC) Student Math League National Competition

Room 615

 

Arrive before 10am and NO LATER than 11am

 

National and Regional Results

HERE

T 11/1/11

 

(15 students and 3 faculty members participated)

Dr. Dana Clahane

UC Irvine

DERIVATIONS: An introduction to non-associative algebras; OR playing havoc with the product rule?

 

Re-introduction to talks by Dr. Bernie Russo, Part I and Part II

 

Kalen Kochan

Fullerton College (Math 295 student of Dr. Clahane)

Questions naturally arising from the Cameron-Erdős conjecture

Th 11/3/11

 

4-5:30pm, Rm. 621

 

 

Math Association Laboratory Meeting

F 11/4/11

 

(11 students and 3 faculty members participated)

Dr. Dana Clahane,

Dr. Bill Cowieson,

Paul Sjoberg, co-coaches

 

AMATYC Round 1 Wrap-up

&

Practice Session #1 for the Putnam Competition

Room 615

11am-2pm

T 11/8/11

 

(16 students and 2 faculty members participated)

Dr. Dana Clahane

Fullerton College

Artin’s conjecture on primitive roots

 

Joshua Dubon

Fullerton College

 

(Math 250A student of Stephen Plett and 295 student of Dr. Clahane)

What are the sums of the various p-series when p is odd and greater than 1? Are they irrational? Are they transcendental?

Th 11/10/11

 

4-5:30pm, Rm. 621

 

 

Math Association Laboratory Meeting

 

 

 

Math 295 – Experimentations on 4 unsolved problems due

Th 11/11

 

(5 students and 1 faculty member participated)

Dr. Dana Clahane

Fullerton College

Putnam Extravaganza #2

Room 615

11am-2pm

T 11/15/11

 

(45 students and 4 faculty members participated)

Dr. Andrei Jorza

Cal Tech

The Birch and Swinnerton-Dyer conjecture

 

(click on the title above to see a .pdf file containing Dr. Jorza’s presentation)

 

Abstract here

 

Kevin Oskar Negron

Fullerton College & CSU Fullerton

(Math 250A and 295 student of Dr. Clahane)

Isometries in metric and ultrametric spaces

 

Abstract here

 

 

 

Math 295 Website #3 due

Th 11/17/11

 

4-5:30pm, Rm. 621

 

 

Math Association Laboratory Meeting

F 11/18/11

 

(9 students and 1 faculty member participated)

Dr. Dana Clahane,

coach

Fullerton College

Practice Session #3 for the Putnam Competition

Room 615

11am-2pm

T 11/22/11

 

(15 students and 2 faculty members participated)

Dr. Bill Cowieson

Fullerton College

The Bateman-Horn conjecture

 

Melissa Riddle

Fullerton College (Math 250A and 295 student of Dr. Clahane)

The Jacobian conjecture

Th 11/24/11

 

 

NO Math Association Laboratory Meeting – THANKSGIVING!

T 11/29/11

 

(13 students and 3 faculty members participated)

Marianna Jagodina

Fullerton College

(Math Instructor completing Math 299 projects – Dr. Clahane)

Using Fourier series to show that the 2-series is π2/6

 

Abstract here

 

Dr. Dana Clahane

Fullerton College

Beal’s conjecture

 

 

 

Math 295 Thesis first drafts due

Th 12/1/11

 

4-5:30pm, Rm. 621

 

 

Math Association Laboratory Meeting

S 12/3/11

 

(16 students participated)

Dr. Dana Clahane,

Dr. Bill Cowieson,

Faculty Supervisors

 

William Lowell Putnam Mathematical Competition

8-4pm

Room 621

T 12/6/11

 

(15 students and 3 faculty members participated)

Dr. Joseph Dimuro

Biola University

On zero-sum problems

 

(Click on the above title to view an interactive slide show for this interesting talk)

 

Abstract here

 

Nick Systad

Fullerton College (Dr. Clahane’s Math 250A and 295 student)

Introduction to the mathematics of risk analysis

 

Abstract here

 

 

 

Math 295 Website #4 due

S 12/10/11

 

1pm-7:15pm

Room 615

 

(42 persons participated, including 28 students and 3 faculty members)

Current and former California Community College students

Organized by Dr. Dana Clahane

& sponsored by Project GPS2 and ENGAGE in STEM

2nd Annual California Community College Student Math Conference

 

FLYER HERE

 

Schedule of Talks/Program

HERE

 

Photo slideshow of the conference

HERE

T 12/13/11

 

(10 students and 3 faculty members participated)

Chris Thornton

UCI

 

(Fullerton College ’11)

 

(former Math 299 student of Dr. Clahane)

Password strength and entropy

 

Abstract here

 

 

 

MATH 295 FINAL THESIS DUE

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BACK TO THE MATH COLLOQUIA EVENTS HOME PAGE

*

-There is risk, but there is also reward.-

This webpage was established in June 2010

 

Dr. Clahane would like to thank FC students Joshua Dubon and Ben Hartley, for volunteering their time to provide valuable homework grading assistance that increased available time to organize this enrichment activity.  Dr. Clahane would also like to thank his colleague and co-organizer Dr. Bill Cowieson, who has graciously given of his time to help organize several aspects of the colloquium and help develop it, but has also contributed many excellent talks during the past two years at the Colloquium.

 

Webpage visual design by:

Ivan Luna (former student) and Dr. Dana Clahane

 

Webpage conceptual design, content, and page maintenance by:

Dr. Dana Clahane

(all rights/copyrights reserved)

 

MATHEMATICS & COMPUTER SCIENCE DIVISION

FULLERTON COLLEGE

321 E. Chapman Ave. Fullerton, CA 92832

714-992-7041