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## MATH 8336 INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS (3 credits)

This course introduces the basic methods of PDEs guided by applications in physics and engineering. The main topics to be covered include The Linear First order PDEs, Transport equations, Characteristics, Classification of PDEs, Separation of variables, Heat conduction, vibrating membranes, boundary value problems, Maximum principle, Sturm-Liouville problems, Fourier series, Fourier integrals, Harmonic functions, Legendre polynomials, Distributions, Green's functions. (Cross-listed with MATH 4330).

**Prerequisite(s)/Corequisite(s):** MATH 1970 with a C- or better and MATH 2350 with a C- or better, or permission of instructor; MATH 2050 recommended, not required.

## Mathematics, MS

http://catalog.unomaha.edu/graduate/degree-programs-certificates-minors/mathematics/mathematics-ms/

**...**and took **MATH** 4330 or **MATH** 4400 may not take **MATH** **8336** or **MATH** 8406**...**

## Mathematics, MA

http://catalog.unomaha.edu/graduate/degree-programs-certificates-minors/mathematics/mathematics-ma/

**...**and took **MATH** 4330 , or **MATH** 4400 may not take **MATH** **8336** or **MATH** 8406**...**