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Re: Computational Mathematics for Engineers Course Question

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  • Re: Computational Mathematics for Engineers Course Question

    >
    >
    > 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
    >
    > --------------0565B6B3157C15D8D03A55BF
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    > n:;
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    > url:www.engr.uga.edu
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    > version:2.1
    > title:Professor and Coordinator of Undergraduate Engineering Programs
    > adr;quoted-printable:;;Academic Office=0D=0ADriftmier Engineering Center=0D=0A;Athens;Georgia;30602;
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    >
    > --------------0565B6B3157C15D8D03A55BF--

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