MSU NREUP Schedule
National Research Experience for Undergraduates Program: May 12, 2014 - June 20, 2014
Acknowledgment: This program is an MAA activity funded by NSF grants DMS-1156582 and DMS-1359016.
| L | Date | Topic | Discussion | Comment |
| 1 | 5/12 | Mathematical Models. General ideas of simplified models. Exponential growth vs linear growth, population dynamics. Logistic model. Afternoon: LaTeX - install on students' laptops |
See e-mailed file. |
External evaluation forms (15 min) 9:30 - safety instructions Daily journal |
| 2 | 5/13 | Introduction to ODEs and Systems of ODEs. Phase Portraits. Modeling Predator-Prey and competing species. SIR models. Further discussion on mathematical modeling. Study stable and unstable equilibrium. Afternoon: Mathematica |
Download the following Mathematica Lab. Have students create models for 3 or
more species - 2 competing prey, 1 predator and vice versa. You can refer to the following e-mailed introduction to Mathematica. |
Daily journal |
| 3 | 5/14 | Morning: Presentation workshop (How not to give a presentation) Afternoon: Introduction to Probability. Study ordinary differential equations vs stochastic differential equations. |
Daily journal | |
| 4 | 5/15 | Morning: Continuation of ODE vs SDE. Master equations for probability model. Afternoon: Lecture on numerical methods for ODEs (Aditya Viswanathan) |
Two hours free time to prepare for a mini presentation on Friday : A system of three species. | Daily journal |
| 5 | 5/16 | Morning: Lab on numerical methods for ODEs - Matlab (Aditya Viswanathan) Afternoon: Mini Presentations (5-10 min) |
Work on weekly report | Daily journal |
|
|
|
|
|
|
| 6 | 5/19 | Morning: 1. Dimensional Analysis. Non-dimensionalizing an equation. 2. One species - SDE model: Derivation of Kolmogorov forward equation. 3. Review Euler method. Afternoon: Numerical simulations for stochastic differential equations with Matlab. |
Weekly report |
|
| 7 | 5/20 | Morning: Phase plane analysis for a system - theory. Afternoon: Experiments with Mathematica on phase plane analysis |
Notes on Phase Plane Analysis Reading assignment: references |
Daily journal- teams of 2 Aaron + Asia Jamilia + Tai Cheyenne + Oz |
| 8 | 5/21 | Morning: Searching for references, citations.
Afternoon: Literature Reviews. |
Reading assignment: references | Daily journal
- teams of 2 Cheyenne + Tai Aaron + Jamilia Oz + Asia |
| 9 | 5/22 | Morning: Discussion of papers. Afternoon: Two hours free time to prepare for a mini presentation: Give a presentation on the main results from one of the references. |
Daily journal
- teams of 2 Aaron + Oz Tai + Asia Jamilia + Cheyenne |
|
| 10 | 5/23 | Morning: (9:30-11:00) Preparation for a presentation. (11:00-12:00) Mini Presentations (5-10 min) Afternoon: Learning probability, graph theory and game strategies through board games. |
Tentatively choose a project: Cancer modeling or Competition of car manufacturers. | Daily journal
- teams of 2 Tai + Aaron Oz + Jamilia Asia + Cheyenne |
|
|
|
|
|
|
| 11 | 5/26 | Memorial Day |
University closed. | No meeting |
| 12 | 5/27 | Special workshop | 10:00-11:00 am Effective Presenting 11:00-noon Personal Statement Writing 2:00-3:30 pm Abstract Writing (Rescheduled) All presentations will be in 1200 Molecular Plant Sciences |
Weekly report |
| 13 | 5/28 | Morning: Team Brainstorming. (State the main assumptions for your model: Construct a simple initial deterministic model.) Afternoon: Numerical simulations for your initial model. |
Daily journal | |
| 14 | 5/29 | Morning: Analysis of your simple initial model. Afternoon: Prepare for a mini presentation on Friday. |
Cancer Model Team: 1. Motivation and Assumptions (No formulas): Cheyenne. 2. Notations and 1 patch model: Aaron. 3. 2 patch model: Jamilia 4. Current results and future work: Asia. Competing Car Companies Team: 1. Motivation and assumptions, Notation and price-only model: Tai. 2. Analysis of a price-only model; price and R&D model: Oz. |
An extra room is reserved in Room A-330, Wells Hall from May 29 to June 13. Daily journal |
| 15 | 5/30 | Morning: 9:30-10:30 Prepare for mini Presentations (5-10 min)
10:30-12:00 Presentations Afternoon: Numerical experiments and work on weekly report. |
One weekly report per team: Write an initial draft of your paper.
|
Daily journal |
|
|
|
|
|
|
| 16 | 6/2 | Morning: Team project research. Afternoon: Team reports and work on your paper. |
6:30-7:30pm Abstract Writing workshop which will be in 1200 Molecular Plant Sciences. | Weekly report |
| 17 | 6/3 | Morning: Team project research. Afternoon: Team reports and work on your paper. |
Daily journal | |
| 18 | 6/4 | Morning: Team project research. Merge the work by all team members in the same file, which will give us the basis of a paper. Afternoon: Team reports and work on your paper. |
Cancer modeling team: Asia and Cheyenne are working on noise effect with Matlab in the afternoon. Aaron and Jamilia add figures with detail explanations to the main paper. Competing car companies team: Numerical experiments for the deterministic dynamics in the afternoon. |
Daily journal |
| 19 | 6/5 | Morning: Team project research. Afternoon: Prepare for team presentation on Friday. |
Daily journal | |
| 20 | 6/6 | Morning: Team project research. Lunch: 11:00am-1:00pm Afternoon (1:00pm-3:00pm) :Responsible Conduct of Research (RCR) Training Workshop with Dr. Shobha Ramanand in the basement of West Holmes Hall in room W25E, the Dean's Seminar Room. |
Daily journal | |
|
|
|
|
|
|
| 21 | 6/9 | Morning: Team project research. Afternoon: Team reports and work on your paper. By the end of the day you should have the abstract of your paper ready (100-150 words). |
Registration for MID-SURE (07/23 1:00-4:00 pm - Breslin Center) opens http://urca.msu.edu/midsure |
Daily journal |
| 22 | 6/10 | Morning: Team project research. Lunch: (SROP activity) "Networking Lunch with MSU graduate students" (multi disciplinary) in BPS at 11:30am. Afternoon: Team reports and work on your paper. By the end of the day you should have an introduction ready (about 1 page). |
Daily journal | |
| 23 | 6/11 | Morning: Team project research. Afternoon: Team reports and work on your paper. By the end of the day you should have a complete description of your model including analysis. |
Daily journal | |
| 24 | 6/12 | Morning: Team project research. Afternoon: Team reports and Prepare for team presentation on Friday. |
Daily journal | |
| 25 | 6/13 | Morning: 9:30 am in Holmes Hall: Team Presentations (10-15 min) Afternoon: Complete a draft of the discussion in conclusion sections of your paper. |
9:30am : Joint presentation with SURIEM in the basement of West Holmes Hall in room W25E, the Dean's Seminar Room. | |
|
|
|
|
|
|
| 26 | 6/16 | Morning: Team project research. Afternoon: Team reports and work on your poster. |
Applications of Young mathematician conference open in June 16 and a deadline is July 21. |
Mini paper draft DUE An extra room is reserved in Room A-303, Wells Hall from June 16 to June 18 in the morning. |
| 27 | 6/17 | Morning: Work on your poster. Afternoon: Team reports and work on your paper. |
Submit abstracts to MID-SURE conference. |
Incorporate reviewer comments on paper and poster |
| 28 | 6/18 | Morning: Team project research. Afternoon: Team reports and work on your paper. |
Poster draft DUE Submit a final paper and poster for review |
In the afternoon (2:00 to 4:30), our classrooms are changed (A336 and A322). Incorporate reviewer comments on paper and poster |
| 29 | 6/19 | Morning: Team project research. Afternoon: Team reports and work on your paper. |
Our classrooms are changed (A124, A232, and A234) Final paper and poster DUE |
|
| 30 | 6/20 | Final Team Presentations |
Our classrooms are changed (A132 and A106 (no Wi-Fi coverage for this room)) |