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.

Policies

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.

Withdrawing from the course

You may withdraw from the course up to the last day of the sixth week of class. If you do not withdraw by then, you will receive a grade for the course.

Academic Honesty

The university's Academic Honesty policy is in full effect for this course. Please read Section 11: "Academic Honesty" in the Drexel University Student Handbook to make sure you are familiar with this policy.