MA 515 - Fall 2012

Class Materials

• First Day Handout

All Computer Problems are to hand in. Computer Problems rules: Running a program: use the MATLAB command 'diary' to accumulate your results in a file. Edit the diary file and put brief statements and comments in your own words of what the results mean (just like writing a technical report about your finding). Submit a hard copy and mail the file along with your code to friedman@math.uah.edu (in the text format, pasted in the body of your email, no attachments).

Error and Computer Arithmetic (parts of Chapter 0)

• Examples: 1, 2, 3, 4, horner
• Homework 1
• Files for Homework 1: Moller's problem, powersin.m
• Collection of software bugs (''fatal defect'') (Ariane, Pentium, Patriot-Scud, ...) link

Solution of Nonlinear Equations in One Variable (Chapter 1)

• MATLAB codes for Chapter 1: bisect.m, nest.m, fpi.m
• MATLAB examples for Chapter 1: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
• Homework 2

Interpolation (Chapter 3)

• Interpolation (Moller's notes, we need pages 1 - 14, 21, 22)
• Examples (polynomials): interpolyeg1.m, interpolyeg2.m, polyinterp.m, horner.m
• Examples (piecewise polynomials): piecelin.m, pchiptx.m, splinetx.m, tridisolve.m, interpgui (comparison of all interpolation methods)
• Homework 3, HW3a.pdf
• Files for Homework 3a: rungeinterp.m, InterpN2.m, HornerN.m

Numerical Integration and Differentiation (parts of Chapter 5)

• Quadrature (Moller's notes)
• MATLAB Examples for Chapter 5 and for Moler Chapter 6: 1, 2, 3, 4
• Homework 4
• Files for Homework 4: quadtx.m, quadgui.m

Initial Value Problems for Ordinary Differential Equations (Chapter 6)

• Examples: odeeg1.m, euler0.m, odeeg2.m, eulerm.m, odeeg3.m, odeeg4.m, heun.m
• Homework 5 

Supplementary Materials

• Elementary MATLAB Tutorial
• MATLAB Notes
• MATLAB Tutorial
• MATLAB Primer
• Crash Course in MATLAB, by Tobin Driscoll, University of Delaware
• more MATLAB Resources
• C. B. Moler, Numerical Computing with MATLAB