Tuesday evening the students went out to dinner at Corona Village with the speaker for Wednesday and me. Taco Tuesday was in full swing (all you can eat tacos for $5), and the students even told them that it was my birthday...
Wednesday morning the RMMC began bright and early. Students all received the first part of the time scales book. Allan Peterson began by giving another example of the Variation of Constants and then introduced the regressive vector space.
After the break Martin Bohner went into some examples of Logistic Dynamic Equations. He also showed how the Bernoulli Dynamic Equation boils down to one of the Logistic Equations.
The students returned from lunch and were treated to a wonderful talk on research tools, given by Mike Sollami. Now we are meeting in our groups and working on each of the respective problems.
Wednesday, June 10, 2009
Tuesday, June 9, 2009
Tuesday
Tuesday morning again started bright and early at 8:00 am for most REUers. Martin Bohner started the morning by talking about the exponential function on time scales.
After the coffee/tea break Allan Peterson gave an introduction to dynamic equations defined on time scales.
Following lunch Bryan Shader gave a brief description of some the main types of proof. Bryan gave some good examples that should help the students when they come upon some results.
The next three days will be filled with many good presentations. The talks will be, an introduction to research tools by Mike Sollami, an introduction to LaTeX by David Anton, and a talk about Biostatistics by Kiona Ogle.
After the coffee/tea break Allan Peterson gave an introduction to dynamic equations defined on time scales.
Following lunch Bryan Shader gave a brief description of some the main types of proof. Bryan gave some good examples that should help the students when they come upon some results.
The next three days will be filled with many good presentations. The talks will be, an introduction to research tools by Mike Sollami, an introduction to LaTeX by David Anton, and a talk about Biostatistics by Kiona Ogle.
Monday, June 8, 2009
Monday Morning
We got a bright and early start at 8 am for the first meeting of the RMMC (Rocky Mountain Mathematics Consortium). Allan Peterson gave a brief introduction (definitions and theorems) of the delta derivative.
After a coffee break Martin Bohner gave an introductory lecture to integration over time scales, as well as a start into Taylor series expansion of functions on a time scale, a subtle and difficult topic.
We reconvened after lunch and have broken into groups and started to get serious about some of the research topics that our three professors have chosen.
After a coffee break Martin Bohner gave an introductory lecture to integration over time scales, as well as a start into Taylor series expansion of functions on a time scale, a subtle and difficult topic.
We reconvened after lunch and have broken into groups and started to get serious about some of the research topics that our three professors have chosen.
Saturday, June 6, 2009
Friday, June 5, 2009
Thursday and Friday
Thursday afternoon Greg gave the first of many talks about professional development. Greg highlighted the expectations for our students and the hopes (and dreams) of each of the professors involved in research. We were then given an opportunity to listen to a short presentation from each of the professors after which students gave a preference ranking for each project.
Friday morning two conflicts arose, first was rabbits versus sheep, wherein our model resolved this conflict showing victory for one of the two species, except in a very specific region! Our second conflict arose with Jeff's talk on time scales, this was discrete versus continuous. This conflict was not resolved and promises to give the students ample opportunity to debate (or just form an opinion) in the 7 weeks that remain.
This afternoon students will have an initial meeting with their group as well as another opportunity to see MatLab at work.
This weekend (weather permitting) students are going on a hike at Vedauwoo. Have a great weekend!!
Friday morning two conflicts arose, first was rabbits versus sheep, wherein our model resolved this conflict showing victory for one of the two species, except in a very specific region! Our second conflict arose with Jeff's talk on time scales, this was discrete versus continuous. This conflict was not resolved and promises to give the students ample opportunity to debate (or just form an opinion) in the 7 weeks that remain.
This afternoon students will have an initial meeting with their group as well as another opportunity to see MatLab at work.
This weekend (weather permitting) students are going on a hike at Vedauwoo. Have a great weekend!!
Our project teams have been selected:
Good Vibrations Team
Jeff Selden
Mike Bostick
Casey McKnight
Michelle Zagardo
Peter Muller
Dynamic Systems Team
Hakima Bessaih
Eric Quade
Josh Keller
Kristen Campilonga
Dennis Gucker
Chaos & Computations Team
Dan Stanescu
Patricia Jibben
Daniel McElhaney
Sarah Nowak
Eric Smith
Good Vibrations Team
Jeff Selden
Mike Bostick
Casey McKnight
Michelle Zagardo
Peter Muller
Dynamic Systems Team
Hakima Bessaih
Eric Quade
Josh Keller
Kristen Campilonga
Dennis Gucker
Chaos & Computations Team
Dan Stanescu
Patricia Jibben
Daniel McElhaney
Sarah Nowak
Eric Smith
Thursday, June 4, 2009
Wednesday into Thursday
Wednesday afternoon Dan Stanescu gave a wonderful introduction to discretization of differential equations. The students were set to work on several problems and were given the chance to interact and work in small groups.
Thursday morning the sun was shining and it was a beautiful day, unfortunately there is still much work to be done. Greg Lyng gave a stimulating continuation of a continuous talk... Again students were given some problems to work through, and this time were told to be prepared to present their work.
Hakima Bessaih gave our second talk on difference equations, and gave an introduction to the logistic equation, which will lead discussion into fractals. After a long morning of talks students were allowed a lunch time, we will see what the afternoon holds.
Thursday morning the sun was shining and it was a beautiful day, unfortunately there is still much work to be done. Greg Lyng gave a stimulating continuation of a continuous talk... Again students were given some problems to work through, and this time were told to be prepared to present their work.
Hakima Bessaih gave our second talk on difference equations, and gave an introduction to the logistic equation, which will lead discussion into fractals. After a long morning of talks students were allowed a lunch time, we will see what the afternoon holds.
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