Math 586

Math 586a (Fall semester) 1 unit: 

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) 2 units:

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, host at least 1 speaker, 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). Check the schedule of presentations here. Students are expected to submit the 1/2 page report via D2L 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 uploaded a day before the actual presentation to D2L.
  • You are also expected to submit a written report (~10 page latex-produced, .pdf formatted document) before May 31st to D2L.
  • Your overall participation in the class will be graded as a single score pass/fail.

Math 599 (or Dept 599) 3 units; Fall semester of 2nd year in Program:

In their third semester, students conduct advanced individual study of a research topic in applied mathematics. Each student is expected to select an advisor for this semester/term-long advanced independent study. Students should:

  • present results of the independent study at the fall workshop;
  • submit a written, research paper grade report (~ 20 page latex-produced, .pdf formatted document) by 11:59pm of December 31st. In other details, this activity follows generic rules of the Math586 sequence described above. (586C is the new, yet unofficial, number for the Research and Tutorial Group, Math 599)

Archive:

Schedule for Spring, 2021:  All sessions held via zoom

date professor title & abstract notes
1/13/2021 Misha Chertkov, Applied Mathematics
host: Robert Ferrando
Graphical Models of Pandemic Video
1/20/2021 Marek Rychlik, Mathematics
host: Dan Van Boxel
Sequence-to-sequence mapping problem and CTC Video
held jointly with Math graduate program
1/27/2021 Jan Wehr, Mathematics
host: Fiona McCann
Emergent collective behavior of interacting microswimmers Video
held jointly with Math graduate program
2/3/2021 Leonid Kunyansky, Mathematics
host: Jalen Cates
Inverse problems for partial differential equations, arising in imaging and medical tomography Video
held jointly with Math graduate program
2/10/2021

C.K. Chan, Astronomy & Steward Observatory
host: Marta Sowinski

Imaging Black Hole at Event Horizon Scale-Interferometry Image Reconstructions Video
2/17/2021 Bernard Parent, Aerospace & Mechanical Engineering
host: Vianella Spaeth
Overcoming Stiffness in Simulating Plasma Flows Video
2/24/2021 Laura Miller, Mathematics
host: Dunia Fernandez
Using computational fluid dynamics to understand jellyfish swimming and feeding Video
held jointly with Math graduate program
3/3/2021 Ibrahim Fatkullin, Mathematics
host: Matthew McCaskey
Statistical mechanics of graphs and partitions Video
held jointly with Math graduate program
3/17/2021 Kris Klein, Lunar & Planetary Sciences
host: Erica Papke
Plasma Instabilities in the Young Solar Wind: Thermodynamics far from Equilibrium Video
3/24/2021 Taqi Raza, Management Information Systems
host: Alex Christensen
In(Security) and Un(Availability) of 4G/5G Networked Systems  
3/31/2021

Lise Marie Imbert-Gerard, Mathematics
host: Addie Harrison

Wave propagation in inhomogeneous media: An introduction to Generalized
Plane Waves
Video
held jointly with Math graduate program
4/7/2021 Xubin Zeng, Hydrology & Atmospheric Sciences
host: Alyssa Burritt

The Duet of Machine Learning and Conventional Modeling in Earth System Science: A Personal Journey

Video
4/14/2021 Xueying Tang, Mathematics
host: Nick Bagley
Subtask Analysis of Process Data Through a Predictive Model Video
held jointly with Math graduate program
4/28/2021 Jianqiang Cheng, Systems & Industrial Engineering
host: Bao Do
Computationally Efficient Reformulations and Approximations for Chance Constrained Optimization Video
5/5/2021 Tonatiuh Sanchez-Vizuet, Mathematics
host: Eonho Chang
The hybridizable discontinuous Galerkin method: an application to plasma equilibrium in fusion reactors

Video

held jointly with Math graduate program

Schedule for Spring, 2020:  All sessions held via Zoom

DATE PROFESSOR TALK TITLE & ABSTRACT NOTES
1/15/2020

Roberto Furfaro, Systems & Industrial Engineering
(host: Brian Toner)

Deep Learning Algorithms for Autonomous Guidance: Applications to Hypersonics and Planetary Landing Guidance

 
1/22/2020 Leonid Kunyansky,  Mathematics Inverse problems arising in biomedical imaging *Joint session with Math
1/29/2020 Pavlo Krokhmal, Systems & Industrial Engineering (host: Sheldon Deeny) Modeling and Optimization of Cascading Processes in Networks as Stochastic Processes on Multiscale Graphs  
2/5/2020 Derek Lemoine, Economics (host: Patricia Puente)

Optimal Policy in a Tipping Climate

 
2/12/2020 Sunder Sethuraman, Mathematics (host: Brady Gales) On some "random" directions *Joint session with Math
2/19/2020 Shankar Venkataramani, Mathematics Geometry and Topology in the "real world"
(slides)
*Joint session with Math
2/26/2020 Chris Henderson, Mathematics Qualitative aspects of evolution PDE *Joint session with Math
3/4/2020 Bo Guo, Hydrology / Atmospheric Sciences (host: Adrienne Kinney)

Mathematical modeling of porous media flow for energy and environmental problems in Earth’s subsurface

 
3/11/2020 Spring break - no class    
3/18/2020 Laura Condon, Hydrology / Atmospheric Sciences (host: Sarah Pungitore)

Integrated hydrologic modeling at the continental scale; scientific advances and research needs

Zoom:  https://arizona.zoom.us/j/851715711
3/25/2020 Larry Head, Systems & Industrial Engineering (host: Sheldon Deeny)

V2X Mobility Applications: MMITSS, CV Work Zone, EVA, Cooperative Safety

Zoom:
 https://arizona.zoom.us/j/851715711
4/1/2020 Mihai Surdeanu, Computer Science (host: Teddy Broeren) Our Quest for Interpretable Natural Language Processing Zoom:
 https://arizona.zoom.us/j/851715711
4/8/2020 Ildar Gabitov, Mathematics (host: Will Gammel) Mathematics of  Novel Optical Materials *Joint session with Math Zoom:
https://arizona.zoom.us/j/277692365
4/15/2020 Ronald Brieger, Sociology CANCELLED  
4/22/2020

Ibrahim Fatkullin, Mathematics

(host: Sarah Luca)

Revisiting Quadratic Approximations

*Joint session with Math
Zoom:
https://arizona.zoom.us/j/277692365

4/29/2020

Jian Liu, Systems & Industrial Engineering

(host: Criston Hyett)

Characterizing Spatial-Temporal Patterns with Functional Data Analytics Zoom:
 https://arizona.zoom.us/j/851715711
       

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