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## MATH 4400 FINITE ELEMENT METHODS FOR SOLVING ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS (3 credits)

Introduction to finite elements methods for solving ordinary and partial differential equations. Theoretical foundations of finite element methods for boundary value problems, approximation by piecewise polynomial functions, variation formulation of partial differential equations, basic error estimates. The Rayleigh-Ritz-Galerkin method, convergence of approximations, time-dependent problems, error analysis, discretization and computer implementation, applications to problems in elasticity, heat transfer, and fluid mechanics. (Cross-listed with MATH 8406).

**Prerequisite(s)/Corequisite(s):** MATH 1970 with a C- or better, MATH 2050 with a C- or better, and MATH 2350 with a C- or better, or instructor's permission. MATH 3300/MATH 8305 and MATH 4330/ MATH8336 are recommended, but not required. Familiarity with MATLAB programming is assumed.

## 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**...**