Math 485 - 13 Jan 11
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Semester long project:
-Midterm time: written progress and presentation on progress
-End of semester: poster session and nal report
-Assigned a grad
Math 485 24 Feb 11
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Project midterm report format
1) initial stage of investigation
list of papers
few sentence description of each paper
A paragraph explaining why we ch
Math 485 - 1 March 11
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We are presenting 31 March 11
Predator-Prey (last lecture)
Competing species (two species competing for the same natural
resource)
Math 485 - 1 March 11
Math 485 - 3 March 11
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Math 485 - 3 March 11
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Math 485 - 3 March 11
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Math 485 - 3 March 11
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Math 485
Math 485 - 8 March 11
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Math 485 - 8 March 11
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Math 485 - 8 March 11
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Math 485 - 8 March 11
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Math 485
Math 485 - 10 March 11
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Math 485 - 10 March 11
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Math 485 - 10 March 11
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Stability of xed points
1) nd the xed points
2) st
Math 485 - 21 April 11
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Connect between dynamic systems and ordinary differential equations
For a given equation
Math 485 - 21 April 11
2) poincare return map
Page 2 of 5 - A
REPORT ABOUT A MLS MODEL
1. Introduction to the model
The proposed player index is represented by the following:
Where:
GS: number of games started (determines how many games a player started in a
se
At this point in the presentation, one of the major questions one could ask
is: what are the applications of these models? Essentially, how can we use these
models to demonstrate viral dynamics so tha
Math 485 - 8 Feb 11
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soln: curves tangent to v = ( f(x,y) , g(x,y) ) for all t
1) what kind of solution curve is allowed by v(x,y) (vector)
2) How do solution curves t togethe
Math 485 - 22 Feb 11
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Math 485 - 22 Feb 11
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when a stone hits, it goes
down and comes back up
with the same magnitude
and opposite direction
rigid b
Math 485 - 18 Jan 11
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One of the Greatest Modeling Project in Human History: Solar System
Over time:
Circular orbits
Circles within circles
Kepler: elliptical: equal area ->
Math 485 - 27 Jan 11
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Projects:
In about a week
Need to decide which paper to work on
Do a strict imitation and repeat the results, unless we don't have the
same resources
Math 485 - 20 Jan 11
Direction vector
mixed product
Triple (?) product
N body problem
1) calculus
2) Newton'sGravitational Law
3) Force
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Math 485 - 20 Jan 11
Page 2 of 3 - Ja
Math 485 - 25 Jan 11
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Two body problem:
= integral of angular momentum
Math 485 - 25 Jan 11
Integral of energy:
be a solution to the two body problem
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Math 485 - 1 Feb 11
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The wave traveling around a stadium
Objective: model the stadium wave
Set up principles and rules that dictate when and how the
wave happens
Elements:
Math 485 - 17 Feb 11
Page 1 of 3 - Feb 17, 2011
Stone Skipping
Assume the stone is a round disk and the mass is evenly distributed
S_inside =
contact area, is a
function of time
rho_water =
density
C
Math 485 - 15 Feb 11
multi-scale analysis
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Math 485 - 15 Feb 11
Observations:
1) f = Pi, - Pi are again equilibrium solutions
2) f = Pi is now stable (condition to come)
Pa
Math 485 - 3 Feb 11
assume a solution does exist
therefore no equilibrium state
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Math 485 - 3 Feb 11
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Examples in Classical Mechanics
Review on second
Future directions:
It is important to take into account that our model considers the effectiveness of ribavirin and
interferon alone, an older treatment option, rather than newer, more effective treat