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Important Information.


Textbook.

Required textbook:

A Friendly Introduction to Numerical Analysis, by Brian Bradie (Pearson / Prentice Hall, ISBN 0-13-013054-0)

Supplements to Lecture Notes.


Section 2.1:  Matlab code for the bisection algorithm.
Section 2.3:  Illustration of the text book example of fixed point iterations.
Section 2.4:  Fractals generated by using Newton's method on f(z)=z^3-1.
Section 2.6:  Aitken's acceleration method applied to a slowly converging infinite sum.
Section 3.4:  Hilbert matrix: An example of extreme ill-conditioning.
Section 3.9:  An example of using the Conjugate Gradient algorithm.
Section 6.2:  Article: Calculation of weights in finite difference formulas. Matlab code:  weights.m ,
                   Mathematica 7 code: Pade_algorithm.nb .
Sections 6.4, 6.5, 6.7:  A comparison between Gaussian quadrature, Newton-Cotes and Romberg's methods
Section 7.3:  Effective implementation of the Taylor method.
Section 7.4:  Derivation of Runge-Kutta methods.
Section 7.9:  Linear recursion relations.

Course Grades.


With Homework totals (lowest HW discarded) worth 10%, each Midterm 15% and the Final 45%, the distribution of Course Scores became as shown on this histogram. The grade distribution became as follows: 5 (A), 1 (A-), 5 (B+), 4 (B), 4 (B-), 0 (C+), 4 (C), 2 (C-), 3 (D), 2 (F).  

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