
ME 300  Modeling and Numerical Analysis3 lecture hours 2 lab hours 4 credits Course Description This course is a study of mathematical techniques used to model engineering systems. It involves the development of mathematical models and the application of the computer to solve engineering problems using the following computational techniques: Taylor Series approximation, numerical differentiation, root finding using bracketing and open methods, linear and polynomial curve fitting, solution methods for matrix equations, numerical integration, and the solution of differential equations. Laboratory sessions involve the application of numerical analysis to physical systems involving statics, dynamics, fluid dynamics, heat transfer, electrical circuits, and vibratory systems. (prereq: ME 230 ) Course Learning Outcomes Upon successful completion of this course, the student will be able to:
 Model engineering systems using first and second order differential equations, and solve the equations both analytically and numerically
 Employ the Taylor Series for approximation and error analysis
 Formulate and apply numerical techniques for root finding, curve fitting, differentiation, and integration
 Write computer programs to solve engineering problems
Prerequisites by Topic
 Programming
 Differential equations
 Differential and integral calculus
Course Topics
 Introduction to modeling (2 classes)
 Error analysis/Taylor Series (2 classes)
 Root finding (3 classes)
 Curve fitting (3 classes)
 Matrix applications (3 classes)
 Numerical differentiation (3 classes)
 Numerical integration (3 classes)
 Differential equations (7 classes)
 Partial differential equations & boundary value problems (2 classes)
 Testing and review (2 classes)
Laboratory Topics
 Programming/computing techniques
 Matrix solution methods
 Solution of simultaneous equations
 Modeling of first and second order mechanical/electrical/thermal systems
 Applications of rootfinding to vehicle dynamics & thermal insulation
 Applications of curvefitting to experimental data
 Applications of numerical integration to evaluate moments of inertia, friction work, volumetric fluid flow, and thermal heat flow
Coordinator Vincent Prantil
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