`sommese@nd.edu`

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.

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.mw: 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).