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Math 490:  Seminar on Computational Dynamics and Topology
Spring 2008


course advertisement

Meeting time:  MW 9:00-10:20
Meeting place:  Morton 4

Office:  133, Jones Hall
Office Hours:  Mondays 10:30-11:30, Thursdays 2:30-3:30, or by appointment

Grading: 
20% class participation
20% homework and evaluations
20% presentations
40% project

Announcements: 

**Note schedule changes below.** 

Final projects are due at the beginning of the scheduled final exam period: Friday, May 2, 8:30-11:30.


Links and References:

Dynamics:

cobwebbing fun

Dynamical Systems at Wikipedia

Chaos: An Introduction to Dynamical Systems, by Alligood, Sauer, and Yorke (book)

Nonlinear Dynamics and Chaos, by Strogatz (book)

Software for the Global Analysis of Invariant Objects (GAIO)

Computational Topology:

Computational Topology at Wikipedia

Topology at Wikipedia

Computational Homology, by Kaczynski, Mischaikow, and Mrozek (book) (synopsis/review)

Algebraic Topology, by Hatcher (book)

A talk by M. Schatz:  Homological characterization of complex spatiotemporal patterns

A movie from the webpage of Evelyn Sander:
Spinodal Decomposition: A pictorial view of the formation of binary alloys

Computational Homology Project, CHomP



Schedule: 

Date
Material                   
Presenter(s)               
Comments
1/16 (W)
organizational meeting,
project ideas
S. Day
see links and references above
survey, presentation comments, synopsis due next meeting
1/21 (M)
MLK DAY/NO MEETING


1/23 (W)
organizational meeting,
project ideas
S. Day
see links and references above
synopsis, presentation comments due next meeting
1/28 (M)
one-dimensional maps
Alex Penney
pre-proposal due
1/30 (W)
GIS and topology
Erin Gnass
Erin's GIS slides are available on the course Blackboard site (under Course Documents).
2/4 (M)
winding numbers and the Borsuk lemma
Matt Goldman
proposal due
2/6 (W)
short organizational meeting


2/11 (M)
canceled
Brian Ball
to be rescheduled
2/13 (W)
heart data and an intro to computational homology
Taylor Short
By the end of the day, please send a list of the fridays this semester that you are *not* available to meet (9-10:20).
2/18 (M)
fractals
Jemma Moore
Jemma's slides are available on the course Blackboard site (under Course Documents).
2/20 (W)
computational homology, part II
Corey Miller

2/25 (M)
game theory
Drew Hughes

2/27 (W)
time series analysis
Brian Ball

2/29 (F) *
fractals II
Jemma Moore
* Meeting in Morton 239.
3/3 (M)
SPRING BREAK/NO MEETING


3/5 (W)
SPRING BREAK/NO MEETING


3/10 (M)
game theory II
Drew Hughes

3/12 (W)
the ham sandwich theorem
Matt Goldman

3/17 (M) *
CANCELLED


3/19 (W) *
CANCELLED


3/21 (F) *
the boudary operator and GIS
Erin Gnass
* Meeting in Morton 239.
3/24 (M)
time series analysis II
Brian Ball

3/26 (W)
computational homology
Taylor Short

3/31 (M)
computational
homology
Corey Miller

4/2 (W)
dynamics
Alex Penney

4/4 (F) *
2-d and discrete ham sandwich theorems
Matt Goldman
* Meeting in Morton 239.
4/7 (M)
game theory III
Drew Hughes

4/9 (W)
period three implies chaos
Alex Penney

4/14 (M)
computational homology in action
Corey Miller

4/16 (W)
computational homology and spiral waves
Taylor Short

4/18 (F) *
applications of time series analysis
Brian Ball
* Meeting in Morton 239.
4/21 (M)
the mandelbrot set and julia sets in more detail
Jemma Moore

4/23 (W)
computational homology and GIS
Erin Gnass