Math 690, Fall 2012

DeBartolo 117: MWF 10:40-11:30

Information on grading, tests, homework, etc.  

Course Syllabus


Instructor: Andrew Sommese (Hurley 156A).



Office Hours: Open Door

Exam Schedule

Exam 1: Take home test, Due October 1.
Exam 2: Take home test, Due November 12. Answers.
Final: Take home test, Due Monday, December 10.


Homework Assignments

Homework Answers  

         Homework1.pdf supplement to Homework Answers












Cancellation.pdf:  Loss of digits due to taking differences.

Newton.pdf:  Newton’s Method.

RichardsonExtrapolation.pdf:  First look at Richardson Extrapolation.

LagrangeFunctions.pdf:  Lagrange basis functions.

VandermondeMatrix.pdf:  First look at the Vandermonde matrix.

RungeFunction.pdf:  Interpolation for the Runge function.

NewtonCotesFormulae.pdf:  First look at Newton-Cotes formulae.

RungeErrorControlForIntegration.pdf:  Runge Error Control.

GaussianIntegration.pdf:  Gaussian Integration with a weight function.

BSplines.pdf:  B-Splines.

EulerAndModifiedEulerAndRungeKutta.pdf:  Euler’s Method, the Modified Euler Method, and the Runge-Kutta Method.

Lorenz.pdf:  Lorenz Butterfly.  Lorenz Butterfly.

Answers.pdf:  Answers to Test 1.

PolySolver.pdf:  Very simple polynomial solver.

Newton2D.pdf:  Two-dimensional Newton’s method and Griewank’s example.

Shooting.pdf:  Shooting Method (W. Hao) .

linear_ODE.pdf:  Linear ODEs (W. Hao).

fdiff3.pdf:  Linear ODEs (T. McCoy).

fdiff6.pdf:  Linear ODEs (T.McCoy).

SVD_Schur_QR.pdf:  Some Matrix Decompositions.

Galerkin.pdf:  Galerkin Example.

Griewank.pdf:  Griewank’s Example of a polynomial system root that Newton’s method cannot reach.






Click here to go to the Department of Applied & Computational Mathematics & Statistics (ACMS) home page.

Click here to go to the College of Science home page.

Click here to go to the University of Notre Dame home page.

Click here to go to the SIAM home page.  SIAM (the Society for Industrial and Applied Mathematics) is the main applied math organization and has a lot of information about applied math and possible careers in the discipline).