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View Full Version : Re: Computational Mathematics for Engineers Course Question



Tim Foutz
02-26-2002, 05:52 AM
>
>
> My department's graduate committee is proposing a new graduate course called
> Computational Mathematics for Engineers? A brief outline is below. There is a
> debate concerning the prerequisites for this course. I am trying to find out
> does anyone teach a similar course without prerequistes or does anyone teach a
> similar course with a numerical methods course as the prerequisite. Our course
> will be a graduate course designed for Masters of Science engineering students.
> Thanks
> Tim Foutz
>
> Block 1. Introduction
> Root finding (3 hrs)
> o Bisection
> o Newton-Raphson
> Taylor series (3)
> Numerical derivatives and numerical integration (4)
> Complex variables (3)
> Basic programming skills integrated in class (2)
>
> Block 2. Elliptic differential equations
> Potential flow
> o Heat flow
> o Groundwater flow
> o Ideal fluid flow
> o Electricity
> o Weather forecasting
> Finite differences
> Finite elements
> Accuracy
> Boundary conditions
>
> Block 3. Parabolic differential equations
> Contaminant transport
> Dispersion and diffusion
> Lagrangian coordinates
> Finite difference method
> Method of characteristics (1 characteristic)
> Stability, accuracy, and Peclet number
> Initial and boundary conditions
>
> Block 4. Hyperbolic differential equations
> Waves
> Contaminant transport with moving front
> Method of characteristics (multiple characteristics)
> Courant number
> Damping, dispersion, reflection
> Initial and boundary conditions
> Stability and accuracy
>
> Block 5. Interpolation, ODE, and special functions
> Interpolation
> o Splines
> o Curve fitting
> Least squares
> Path line tracing
> Ordinary differential equations
> Special functions
>
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