Syllabus: MTH 653, Spring 2019

Advanced Numerical Analysis III

Instructor: Jay Gopalakrishnan
Times: Tue, Thu: 08:30-09:45
Venue: HAR 104 (Harder House)
Office hours: HAR 105, 10:00-11:00

Learning Outcomes

Being the final course in the year-long sequence, this course focuses on obtaining an integrated perspective and understanding, in particular, the interplay between theory and practice in scientific computation. The topics vary each term, are selected taking into account student interests, and are designed to bring students to the subject's research frontier.

This term, the focus will be entirely on advanced finite element techniques. At the end of the course the students would have gained familiarity with mixed methods, finite element exterior calculus in three dimensions, and discontinuous Galerkin methods. They would also have gained proficiency in Python 3, Jupyter notebooks, and the NGSolve finite element library.

Learning Methods

About half the class meetings will depart from the traditional lecture format and involve activities like hands-on computational exercises and group problem solving sessions.

There is no required textbook for this course. Copies of background literature required for understanding the lectures will be linked in D2L. The instructor will also provide class notes, which are also placed in D2L. Note that some of these notes are not itended merely for reading, but rather for working through interactively, as seen from the following example:

Maxwell discretizations: The Good, The Bad & The Ugly

The student must step through such Jupyter notebooks at his or her own pace, taking time to interactively experiment.

Topical Outline

Please see Diary after logging into D2L.


Figure 1: Some images from class activities


MTH 651-2 or permission of the instructor. Students are expected to have a personal laptop that can be brought to class. They are also expected to have access to a computing environment outside of class (such as access to PICS supercomuting cluster or another university computing resource).

Fine Print

Academic Misconduct: In the list of prohibited student behavior at PSU is plagiarism, buying and selling of course assignments, and obstruction of another student's success. Students are expected to know of and refrain from all proscribed conduct.
Title IX Reporting Obligations: Every instructor at PSU has the responsibility to help create a safe learning environment for students and for the campus as a whole. As a member of the university community, an instructor must report any instances of sexual harassment, sexual violence and/or other forms of prohibited discrimination. If you would rather share information about sexual harassment, sexual violence or discrimination to a confidential employee who does not have this reporting responsibility, please use the online list of those individuals. For more information about Title IX please complete the student module Creating a Safe Campus in D2L.
Disability Accommodations: The Disability Resource Center (DRC) provides reasonable accommodations for students who encounter barriers in the learning environment. If you have, or think you may have, a disability that may affect your work in this class and feel you need accommodations, contact the DRC to schedule an appointment and initiate a conversation about reasonable accommodations. The DRC is located in 116 Smith Memorial Student Union, 503-725-4150,, Students who have testing accommodations must begin the test at the same time as the rest of the class.
Course Materials: All course materials handed out in class or placed in D2L are solely for the use of each student registered in this course. Sale of these materials is prohibited. During class sessions, voice or video recording of other students or the instructor without their explicit written consent is prohibited.

Author: Jay Gopalakrishnan

Last updated: 2019-06-09 Sun 12:59