Feb 02, 2023  
2020-2021 Undergraduate Academic Catalog 
2020-2021 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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ME 300 - Modeling and Numerical Analysis

3 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
  • Error analysis/Taylor Series
  • Root finding
  • Curve fitting
  • Matrix applications
  • Numerical differentiation
  • Numerical integration
  • Differential equations
  • Partial differential equations & boundary value problems

Laboratory Topics
  • Programming/computing techniques
  • Matrix solution methods
  • Solution of simultaneous equations
  • Modeling and numerical simulation of first and second order mechanical/electrical/thermal systems
  • Applications of root-finding to vehicle dynamics & thermal insulation
  • Applications of curve-fitting to experimental data
  • Applications of numerical integration to evaluate moments of inertia, friction work, volumetric fluid flow, and/or thermal heat flow

Dr. Nebojsa Sebastijanovic

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