Which text should I get for Math 220?
There are two choices of textbook for Math 220. I have some suggestions on this at the website for my Math 220 sections.
Recent Courses
Here are the web sites for the previous time I taught each course.
- Introductory Calculus (Math 120), Fall 2009.
- Calculus 3 (Math 221), Spring 2009.
- Numerical Methods and Mathematical Computing (Math 245), Fall 2008.
- Mathematical Computing and Programming Laboratory (Math 246), Fall 2008.
- Calculus 2 (Math 220), Spring 2007
- Numerical Analysis 1 (Math 545), Spring 2007.
- Numerical Analysis 2 (Math 645), Fall 1999.
Curriculum Vitae
For everything about my recent professional activities (up to February 2008), read my Curriculum Vitae.Mathematical Interests
My main research area is self-focusing of nonlinear waves, particularly as it occurs in plasma physics laser propagation and vibrations in long biological molecules: proteins and DNA. Much if this work involves numerical methods for approximation solution of these and other nonlinear evolution equations. Recently I have added consideration of random effects to the mathematical models, leading to Stochastic Differential Equations.
Some Recent Talks, Publications, and Preprints
- My recent work on wave propagation in biopolymers is described in the PDF presentation for my talk at the Nonlinear Evolution Equations and Dynamic Systems Workshop on the 22nd of June 2007 at L'Ametlla de Mar, Spain. A paper based on this is scheduled to appear in the new Journal of Discrete and Dynamic Systems Series S, volume 1, number 2 pages 317-327 June 2008. It has already appeared online: see DSCS-S website)
- Other recent work is described in the PDF slideshow Modeling thermal effects on nonlinear wave motion in biopolymers by a discrete nonlinear Schrödinger equation with damping and stochastic driving for a talk at the SIAM Conference on Nonlinear Waves and Coherent Structures, September 9-12, 2006.
- The paper Wave energy self-trapping by self-focusing in large molecular structures: a damped stochastic discrete nonlinear Schrödinger equation model on joint work with CofC undergraduate Barron Whitehead, appeared in Physica D: Nonlinear Phenomena volume 225, 1 January 2007, pages 1-12. It is also published online at DOI online. This link should work from on-campus at the CofC, or anywhere else with a suitable online subscription. Otherwise, a preprint version from January 2006 is available online, but the final version is substantially revised, particularly by the use of improved numerical methods, which are described in the more recent talk above.
- The paper Beam stabilization in the 2D nonlinear Schrödinger equation with attractive potential by beam splitting and radiation appeared in Physical Review E volume 70, 046614, 28 October 2004. There is a preprint available.
- The paper Regularization and control of self-focusing in the 2D cubic Schrödinger equation by attractive linear potentials appeared in Physica D: Nonlinear Phenomena volume 184, 1 October 2003, pages 226-236. This was a special issue on Complexity and Nonlinearity in Physical Systems to Honor Alan Newell. Yes, there is a preprint available.
- There are also rather disorganized collections of older papers and slideshows for talks.
Other Links
- The Math Department's home page (note the changed URL).
- The Math Department's Faculty List
- The College's Home Page
- The Society for Industrial and Applied Mathematics (SIAM).
- The SIAM South-Eastern Atlantic Section (SIAM-SEAS).
- The SIAM-SEAS 2008 Conference
- A recipe for scones
- For more recipes and some photographs, visit my new personal (non-work) home page.
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