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## Roger Thelwell

Associate Professor

Department of Mathematics

Roop Hall, Roop 106

MSC 1911

James Madison University

Harrisonburg, Virginia 22807

Voice:(540) 568-5103

Fax:(540) 568-6857

E-Mail:thelwerj@jmu.edu

WEB:http://educ.jmu.edu/~thelwerj

Schedule:Current

## Teaching & Office Hours

In SP20, I am teaching three courses:

- MATH 205: Introductory Calculus I,
- MATH 248: Computers & Numerical Algorithms.
- MATH 440: Fourier Analysis & PDE.
CURRENT SP20 OFFICE HOURS: MWF 3-4

I'll be holding virtual office hours this semester with regularly sceduled contact times. I'll be sitting at my computer, ready to help. The easiest way to get in touch in through email, but during office hours you can also reach me on the phone or have a video chat. For those in 248 and 440: use Piazza!

- If you are in MATH 248 or MATH 440: please use Piazza. You can ask questions publicly, where someone in class will likely be able to help you, or privately to just me.
- If you are in MATH 205: please ask general questions in the Canvas discussion board. That way everyone can see them and benefit from the answer, and maybe someone in class has an answer for you! If you have a specific question, you can always email me.
- via EMAIL: I'll try to answer all current course Piazza and Disscussion posts during office hours, as well as course email. I get a lot of email, though, and so you'll need to help my by including specific text about your course in the subject line: either "MATH 205", "MATH 440". If it is urgent, use something like this "MATH 205 URGENT"
- via PHONE: email me to set up a time, but I'll also try to pickup/call-back during office hours. See the course syllabus for my phone number.
- Video: email to set up a time - Facetime, Zoom, Skype, WebEx, ...

In previous semesters at JMU, I've taught:

- The Joy of Mathematics: Math 103 (SP17)
- Mathematics of Ancient Greece: Math 103 (SM10,SM11,SM13,SM15)
- Introductory Calculus: Math 205 (SP11,FA15,FA18,SP19)
- Calculus with Algebra: Math 231 (FA08,FA09) and 232 (SP07,SP08,SP11,FA14,SP15, SP16, FA16)
- Calculus I : Math 235 (FA09,FA11,FA12,FA13)
- Calculus II: Math 236 (SP13)
- Calculs III: Math 237 (FA12,SP14)
- Linear Algebra and Differential Equations: Math 238 (FA13)
- Computers & Numerical Algorithms: Math 248 (SP10,FA10,SP12,SP14,SP19)
- Methods of Applied Calculus: Math 337 (FA15, FA18)
- Non-linear Dynamics and Chaos: Math 341 (SP17)
- PDE and Fourier Series: Math 440 (FA08, FA09)
- ODE theory: Math 441 (SP09)
- Numerical Analysis: Math 448 (SP16)
- Numerical Analysis for ODE: Math 449 (FA16)

## Research Interests

I am interested in applying mathematics to physical problems. I have worked on problems from atmospheric science, coupled multi-physics, porous media, and nonlinear waves. I'm currently thinking about analytic continuation and ODE. I use both analytic and numeric techniques, while drawing on aspects of dynamical systems, PDE theory, functional analysis and numerical analysis. More specific information can be found here. Links to papers are found here.I'm also involved in the M-cubed program, a six-week summer National Research Experience for Undergraduates Program (NREUP) funded by the MAA. Read more about the NREUP, and about the JMU M-cubed program. While the bad news is that we are currently unable to apply for the external funding that supports this program, the good news is that we are ineligible because JMU is national REU site!

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