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MATH 547

Modeling and Analysis of Partial Differential Equations

Mathematics College of Physical and Mathematical Sciences

Course Description

Methods for modeling and analyzing partial differential equations.

When Taught

Winter Odd Years

Grade Rule

Grade Rule 8: A, B, C, D, E, I (Standard grade rule)

Min

3

Fixed

3

Fixed

3

Fixed

0

Other Prerequisites

Math 334, 342; or equivalents

Recommended

Math 352

Title

Overview

Learning Outcome

General Cauchy problem Method of characteristics for first-order equations Quasilinear systems of conservation laws on a line Classification of general second-order equations Canonical forms for semilinear second-order equations Hyperbolic equations Elliptic equations Parabolic equations  

Title

Learning Outcomes

Learning Outcome

Students should understand the topics listed in the minimal learning outcomes on the Math 547 Wiki page. As evidence of that understanding, students should be able to demonstrate mastery of all relevant vocabulary, familiarity with common examples and counterexamples, knowledge of the content of the major theorems, and ability to make direct application of those results to related problems, including calculations.