MATH 521 201 2021W2 Numerical Analysis of Partial Differential Equations

Welcome to MATH521 !

Welcome to MATH521 !

heatequation.png

Instructor:

Anthony Wachs
wachs@math.ubc.ca
Office: MATH229B
Office hour: TBA

Course Material:

General purpose

What surface does a soap film span inside a bent wire frame? What does the electromagnetic field inside a microwave look like? How does air flow around a car? How does the shockwave of a supersonic aircraft propagate in space? How does chemotaxis work? How do rain clouds develop over the Pacific?

Partial differential equations (PDEs) model a vast range of problems from physics, chemistry, biology, engineering, meteorology, statistics, mathematical finance and many more disciplines. Virtually all real-life problems are too complex to be solved analytically and require numerical techniques such as finite differences, finite elements or finite volumes.

This course is designed to foster development of analytical, computational and professional skills. Not only will you learn how to solve PDEs numerically and how to assess the quality of your results, but you will also apply these skills in your own mini research project, you will gain effective communication skills to present your results in oral and written form and you will find out how to peer-review someone else’s work.

Grading scheme

Final Grade = homework (25%) + proposal (10%) + project proposal presentation (10%) + project report (30%) + project presentation (15%) + peer review (10%)
 
There are 12 weekly assignments, the first 10 assignments are mandatory to hand in if you would like to get credit, the last 2 assignments are optional. Assignments will not be marked, you will get full credit for trying hard, solving properly at least about two-thirds of the questions and hand them in. I will randomly check your work through the term. Late submissions will get a 0 mark (no late submission by email accepted).

Academic Integrity

The academic enterprise is founded on honesty, civility, and integrity. As members of this enterprise, all students are expected to know, understand, and follow the codes of conduct regarding academic integrity. At the most basic level, this means submitting only original work done by you and acknowledging all sources of information or ideas and attributing them to others as required. This also means you should not cheat, copy, or mislead others about what is your work. Violations of academic integrity (i.e., misconduct) lead to the breakdown of the academic enterprise, and therefore serious consequences arise and harsh sanctions are imposed. For example, incidences of plagiarism or cheating may result in a mark of zero on the assignment or exam and more serious consequences may apply if the matter is referred to the President’s Advisory Committee on Student Discipline. Careful records are kept in order to monitor and prevent recurrences.

For more information, see: http://www.calendar.ubc.ca/vancouver/index.cfm?tree=3,286,0,0

Academic Concessions

Students seeking academic concession due to absence from the final exam for any reason must apply to Science Student Services within 72 hours of the missed exam. This is a standard practice for all final examinations at UBC. For more information, see: https://science.ubc.ca/students/advising/concession

Department of MathematicsFaculty of Science | UBC Library | UBC Student Health and Wellness 

CC Attribution This course content is offered under a CC Attribution Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.