#
MATH 520: Numerical Analysis I

**Course Info. and Syllabus **

**Office hours:** Monday 2:30-5:00 p.m, Wednesday 3-4p.m.& Friday 2:30-4:00 p.m.

**Assignments:**

**HW1:** QSS, Page 283, 2, 5. Design and implement a numerical experiment to
verify that the secant method converges at order p= the golden ratio
(1+sqrt(5))/2. Due Wednesday, October 9.

HW2 and some notes on nonlinear
optimization

HW3

**HW4**: QSS, Page 376, 7, 12. Write a computer program to approximate |x| on
[-1,1] based on (i) approximation by the degree n Lagrange interpolation at
(n+1) equally spaced points, (ii) approximation by the degree n Lagrange
interpolation at Chebyshev points, (iii) the degree n Bernstein approximant,
(iv) Newman's rational approximant. Generate appropriate error plots and explain
if the empirical results are consistent with known theoretical results.

Here's an article about D. J. Newman and
the first page of his famous
4-page paper on rational interpolation written at Philadelphia.

HW5

HW6

A demo for Trapezoid rule on periodic function:
TrapezoidPeriodic.zip, and an extensive
article on the analysis of Trapezoid rule by
Trefethen and Weideman.

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Policies

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Lateness and Absence

Midterm and final exams makeups will not be allowed, except for the REAL emergencies. Those should be communicated to (and agreed to by) me ahead od time whenever possible. If not possible it will have to be supported by a solid evidence.
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Please read Section 11: "Academic Honesty" in the Drexel University Student
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