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Columbian College of Arts and Sciences

Mathematics (MATH)

MATH

6318

Applied Mathematics I

Applied Mathematics I

Fall 2017

3

Course Type

Lecture

Default Grading Method

Letter Grade

No

No

MATH 2184 and Math 2233

Corequisites

20

Frequency of Offering

Term(s) Offered

Are there Course Equivalents?

No

No

Fee Type

No

Boundary value problems in one dimension, first order equations, method of characteristics, shock waves, linear elliptic and evolution equations, calculus of variations. In addition to the specified prerequisites, students must have completed an undergraduate course in differential equations prior to enrollment.

As a result of completing this course, students will be able to: study the full spectrum and eigenfunctions for one dimensional boundary value problem, master Sturm-Liouville theory and compute the Green's function for elliptic linear operators. Students will also be able to compute solutions to first order differential equations by using the method of characteristics and generate a theory for weak solutions when solutions don't have the suitable regularity. Students will also be able to solve heat equation and Schrodinger equation and to write the Euler-Lagrange equation for several minimization problems.

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Course Attribute

Key: 5634