18.311 MIT (Spring 2011).
Rodolfo R. Rosales (MIT, Math. Dept., 2-337, Cambridge, MA 02139).
Date: April 24, 2011.

Problem Set # 06 for 18.311
Due: Monday May 2.
Turn it in before 3:30 PM, in the box provided in Room 2-108.

IMPORTANT: The Regular the Special Problems must be stapled in
TWO SEPARATE packages, each with your FULL NAME clearly spelled.

Regular problem set.
Do the problems listed under #1 and #2 below.

Special problem set.
Do the problem listed under #3 below.

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The problems below are from the: Various lecture notes for 18311,
posted in the "Course Notes" section of the 18.311 web page.

#1
Problem: complete the details for the von Neumann stability example.
In the subsection: Example: von Neumann stability.
In the section:    Convergence of Numerical Schemes.

#2
Problem: verify the DFT and iDFT formulas.
In the subsection: Introduction and Motivation.
In the section:    DFT, FFT, and Fourier Series.

#3
Problem: compute the Bernoulli polynomials' generating function.
In the subsubsection: Bernoulli Polynomials.
In the subsection:    Trapezoidal Rule and the Euler-Maclaurin formula.
In the section:       DFT, FFT, and Fourier Series.
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EOF