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Math 490: Seminar on
Computational Dynamics and Topology
Spring 2008
course
advertisement
Meeting
time: MW 9:0010:20
Meeting place:
Morton 4
Office:
133, Jones Hall
Office Hours:
Mondays 10:3011:30, Thursdays 2:303:30, 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,
8:3011:30.
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)

onedimensional
maps

Alex Penney

preproposal 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 (910:20).

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) *

2d 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



