INSTRUCTOR

Instructor: Debra Lewis
Office: 359B Baskin Engineering
Phone: 459-2718
E-mail: lewis at ucsc dot edu (checked more often than voicemail or gmail) and/or DebraKLewis at gmail dot com
 

Lecture: TTh 12:00PM-1:45PM, Social Sciences 2 363
Lab: We have the Soc Sci 1 Mac lab reserved Th 4:00-5:45; attendance is optional.
Office hours: M 2-3 and T 9-10, and by appointment
Virtual lab: You can access Mathematica 6.0 using the Instructional Computing Virtual lab.
Course web page: http://people.ucsc.edu/~lewis/Math140 (here)
 

TEXT

Industrial Mathematics: An Introduction to Real World Problem Solving, by Avner Friedman and Walter Littman
 

NOTES, SCANNED MATERIALS FROM TEXTS, ETC.

A few pages from Chapter 2 (Air Quality Modeling) of the text, and from a PDE text
A very brief introduction to PDEs handout from Partial Differential Equations and Boundary Value Problems, by Nahkle Asmar, Prentice Hall, 2nd edition.
Fourier series handout from Partial Differential Equations and Boundary Value Problems, by Nahkle Asmar.
List manipulation in Mathematica, from Introduction to Programming with Mathematica, by R. Gaylord, S. Kamin, and P. Wellin, Springer-Verlag.
Pure ("anonymous") functions in Mathematica, from Introduction to Programming with Mathematica, by R. Gaylord, S. Kamin, and P. Wellin.
Orthogonal projections, from Linear Algebra, by David Lay.
Getting started with Fourier transforms, from Partial Differential Equations and Boundary Value Problems, by Nahkle Asmar.
Lagrange multipliers, from Vector Calculus, second edition, by Susan Colley, Prentice Hall.
Applications of Lagrange multipliers to economics, plus exercises, from Vector Calculus, by Susan Colley.

MATHEMATICA NOTEBOOKS

Discrete difference code for the catalytic converter model
Contour plots for Lagrange multiplier problems and the isoperimetric problem calculations
Sample calculations for the orthogonal projection exercises
Discrete difference schemes
New version of discrete difference schemes
Sample pollution calcs using NDSolve
Warning: Plotting large data sets is slow. You may want to experiment with the inc option in the plotting function in discrete_diff_v2.nb to lower the resolution.  

LINKS TO POSSIBLY USEFUL WEB SITES

Brachistochrone
Curve bank presentation of the brachistochrone, including some animations.
A detailed treatment of the brachistochrone.
History of the brachistochrone, including a really pompous quote from Johann Bernoulli.

Electron beam lithography
Wikipedia article, particularly the section on "Defects in electron-beam lithography".
Information about some actual e-beam devices, just to see what they look like.

Discrete differencing
Discrete differencing, stability, etc.