Math 586

Math 586a (Fall semester): 

In the first semester, students are introduced to the scientific methodologies of data analysis, mathematical modeling, and applied mathematics through individual  study of literature on a selected research topic, followed by a presentation. Each student is expected, within the first three weeks of the semester, to pick an adviser for this semester independent research study. Check the Applied Math faculty listing, communicate with him/her over e-mail or in person, and then inform the Program when an agreement is reached by submitting (a) name of advisor, (b) description of the subject, and (c) list of papers to study (at least 2) no later than September 30.

  • You will have the whole semester to complete the research.  Please schedule regular meetings with the project adviser (recommended pace is once a week). 
  • We will have one session during the last week of the semester when all students from the class present the results of the independent research study in a short (15 min + 5 min for questions) presentation.  Presentation drafts (.ppt or .pdf) should be e-mailed to the Program a day before the actual presentation.
  • Your overall participation in the class will be graded as a single score pass/fail

Math 586b (Spring semester):

The class has two components: (a) faculty presentations once a week;  (b) student independent study of a research topic in applied mathematics:

(a) Each week, a program professor will give a presentation on his/her research. Students are expected to attend, ask questions during the talk and then write a short essay (1/2 page) describing in your own words the field of study presented, formulating the main points of research inquiry in the field (potentially of interest for you if you choose to work with this professor in the future). Students are expected to submit the 1/2 page report for each lecture no later than Sunday, 12pm (four days after respective lecture). 

(b)  Each student is expected, within the first three weeks of the semester, to pick an advisor for this semester independent research study. Check the Applied Math faculty listing here; communicate with him/her over e-mail or in person, and then inform the Program when an agreement is reached also submitting the name of the advisor and description of the subject (title) no later than January 30th.

  • You will have the whole semester to complete the research.  Please schedule regular meetings with the project adviser (recommended pace is once a week). 
  • We will have one session during the last week of the semester when all students from the class present the results of the independent research study in a short (15 min + 5 min for questions) presentation.  Presentation drafts (.ppt or .pdf) should be e-mailed to the Program a day before the actual presentation.
  • You are also expected to submit a written report (~ 10 page latex-produced, .pdf formatted document) before May 31st. 
  • Your overall participation in the class will be graded as a single score pass/fail. 

Archive:

Schedule for Spring, 2019:
The class will meet on Wednesdays at 4:00pm in the Math Bldg., Room 514 unless otherwise indicated in the Notes

Date professor talk title abstract notes
1/16/2019 Calvin Zhang, Mathematics Some research topics in mathematical neuroscience and bio-fluid dynamics abstract  
1/23/2019 Misha Chertkov, Applied Mathematics Interpretable & Tractable Machine Learning for Natural  and Engineering Sciences abstract Joint session with Math (Room 501)
1/30/2019 Eleonora Tubaldi, AME

Nonlinear Dynamics: a transversal analysis to investigate the world we live in

abstract

 

2/6/2019 Robert Sims, Mathematics Locality in Quantum Spin Systems abstract Joint session with Math (Room 501)
2/13/2019 Pierre Deymier, MSE Topological Acoustics abstract  
2/20/2019 Anatoli Tumin, AME Role of boundary layer flow in design of hypersonic vehicles abstract  
2/27/2019 Mathieu Joerger, AME

Multisensory Safety Monitoring for Autonomous Vehicles

abstract  
3/13/2019 Karl Glasner, Mathematics Particle and continuum models for self-organization and self-assembly abstract  
3/20/2019 Aaron Rosengren, AME Mathematical aspects of satellite orbit prediction abstract  
3/27/2019 Joellen Russell, Geosciences TBA    
4/3/2019 Marek Rychlik, Mathematics From Perceptron to Deductron - a tour of Neural Nets and Optical Character Recognition abstract  
4/10/2019 Janek Wehr, Mathematics Quantum mechanics in the presence of disorder abstract Joint session with Math (Room 501)
4/17/2019 Ibrahim Fatkullin, Mathematics Mathematical models in condensed matter physics abstract Joint session with Math (Room 501)
4/24/2019 Ave Arellano, Hydrology & Atmo Science Data Assimilation and Inverse Modeling of the Atmospheric Composition abstract