Lecture Slides for AMSC/MATH 420: Spring 2015
Mathematical Modeling

As they become available, lecture slides will be posted here. They are subject to change before or after the lecture date, so please monitor the version date.

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Title	Version	Lecture Date
General Topics
Fitting Linear Statistical Models to Data by Least Squares: Introduction	January 28	January 27
Data representation: Representations and Approximation of Data	February 3	January 29
Fitting Linear Statistical Models to Data by Least Squares: Weighted	January 26	February 3
Data representation: Approximation and Interpolation	February 3	February 5
Data representation: Data dependent representations	February 12	February 12
Data representation: Frames	February 3	read in lieu of lecture on 2/17
Modeling Epidemics
Introduction, Simple Models, and Linear Least Squares	February 11	February 10
SIR Model and Nonlinear Least Squares	February 24	February 24 (postponed from 2/17)
Modified SIR Model and Nondimensionalization	April 9	February 24 and March 3
Assessing How Well a Model Fits the Data	April 9	March 10
Two-Group Compartmental Models	March 31	April 2
Two-Group Model with Interventions	April 7	April 7
Optimizing over Interventions within a Budget	April 14	April 14
Final Thoughts and Caveats	April 21	April 21
Machine Learning
Introduction to Classification	March 3	March 3
Nearest Neighbor Classification	March 5	March 5
PCA	March 12	March 12
Laplacian Eigenmaps	April 16	April 16

Background Material on Linear Algebra: Linear Algebra and Its Applications, Fourth Edition, by David C. Lay, Pearson, 2011.
This is the standard text for MATH 240 and 461. It (or an earlier edition) covers all the linear algebra that you need for this course.
Chapter 6 covers some of the material from the first two lectures on fitting.

Background Materials on MATLAB:

• Math 241 MATLAB Materials, by Jonathan Rosenberg
  A brief introduction with examples of graphing commands.

• Getting Started with MATLAB and Simulink Student Version, by Mathworks
  This is a free on-line set of tutorials.

• Chapter 1 of Numerical Computing with MATLAB, by Cleve Moler
  This is a good general introduction to MATLAB.

• A Guite to MATLAB: For Beginners and Experienced Users, Third Edition, by Brian R. Hunt, Ronald L. Lipsman, and Jonathan M. Rosenberg
  Cambridge University Press, 2014.
  

• MATLAB: An Introduction with Applications, Fifth Edition, by Amos Gilat
  J. Wiley and Sons, 2014
  

• An Introduction to MATLAB for Engineers, by William J. Palm III
  McGraw-Hill, 2010
  

• Getting Started with MATLAB, A Quick Introduction for Scientists and Engineers, by Rudra Pratap
  Oxford University Press, 2009
  

• Essentials of MATLAB Programming, Second Edition, by Stephen J. Chapman
  Cengage Learning, 2009
  (This book covers more advanced material than is needed for this course.)