MATH 6880-02 — Orthogonal polynomials and spectral methods for PDEs


Fall 2018


Instructor: Akil Narayan
Email: akil(-at-)sci.utah.edu
Office phone: +1 801-581-8984
Office location: WEB 4666 or CSC 214D
Office hours: Monday 3-4pm, Tuesday 3-5pm (WEB 4666)


Class meeting time: Tuesday, Thursady 10:45am - 12:05pm
Class meeting location: JWB 208
Textbook (required): Custom notes will be provided


Mathematical and computational foundations of approximations using Fourier Series and orthogonal polynomials; applications to solutions of differential equations. This course will emphasize both theory and computation. Some programming is required.

The course syllabus is here: PDF



Graded assignments


Individual grades for each assignment will be posted to Canvas. (uNID login required.) Note that the letter grades appearing on Canvas are not representative of predicted final letter grades for the course. Final letter grades will be computed according to the rubric and policies on the syllabus.

Homework assignments


Late work will not be accepted without advance approval from the instructor.

Problem set description Due date Homework
1 : Orthogonal polynomials September 6, 2018 PDF
2 : Quadrature and approximation September 20, 2018 PDF
. : Approximation with polynomials October 4, 2018 PDF
3 : Fourier series approximations November 1, 2018 PDF
4 : Solutions to ODEs November 19, 2018 PDF
. : Final project: Solutions to PDEs December 11, 2018 PDF



Miscellaneous handouts


The following are various relevant handouts.

Description Posting date Download
Course notes September 8, 2018 PDF



Software


The following are links to software used during class demonstrations.

Description Language Download
pyopoly: Orthogonal polynomial software python bitbucket
Demos for pyopoly python bitbucket



Resources