MA686LB: Advanced Partial Differential Equations and Applications (Spring 2020)

Calendar Description

A special topics course in advanced partial differential equations and applications. Topics include: hyperbolic, parabolic and elliptic differential equations; boundary value problems of applied mathematics including such partial differential equations as the heat equation, the wave equation and Laplace’s equation. Techniques will include separation of variables, canonical transformations and integral transform methods.

Course Overview

Many real-world phenomena depend on multiple variables. To model such things as blood flow, hydrodynamics, conduction of heat, vibrations in structures, steady-state spatial patterns, diffusion, financial models, etc., requires multivariable functions and their various rates of change. The course will focus on introductory techniques of solving second-order PDEs and examining qualitative and quantitative behavior of solutions.

Instructor

Professor Dr. A. Allison
Office Hours: See MyLearningSpace
E: aallison@wlu.ca

Lectures

 Lecture content will be provided asynchronously. Course material should be consumed on a regular schedule so that you are well prepared for assignments and exams. See MyLS for details.

Textbook

C. Constanda, Solution Techniques for Elementary Partial Differential Equations, 2nd or 3rd edition, CRC Press.

 MyLearningSpace

Materials related to this course and the full course outline will be posted on the MA686LB MyLearningSpace website. You are responsible for checking here on a regular basis for important announcements.

Evaluation

A final mark out of 100 will be calculated as follows:

• Assignments: 40%
• Midterm Test (June 24th, 5:30-7:30pm): 20%
• Final Exam (2.5 hours, exact date, time and location to be announced): 40%

This document is a summary of the course outline for MA686LB and is provided for the convenience of students.