1. Accelerated Introduction to FORTRAN 90/95
   • Using Linux on Atmospheric Science (AS) Computers
   • Introduction to FORTRAN programming
   • Input/Output and NCAR Graphics on AS computers
   • Lab ex: FORTRAN, recursion, & graphics issues ?

2. Accelerated Introduction to NCO and NCL
   • Using NCO in Linux on Atmospheric Science (AS) Computers
   • Introduction to NCL programming
   • Input/Output and NCL Graphics on AS computers
   • Lab ex: Sequence of NCL programs

3. Finite Difference and Integral Numerical Methods
   • Taylor Series Basis
   • Common, Simple, Space Differencing Examples
   • Common, Simple Methods for Solving Integrals
   • Lab ex: making a finite difference; solving an integral ?

4. Finite Differencing of "Hyperbolic" Equations
   • Phase and Group Velocity Errors
   • Matrix Form to Include Boundary Conditions
   • Computational Stability, Spurious Modes
   • Various Time Integration Schemes
   • Lab ex: making time integrations, "flipping indexes" ?

5. Items below as time permits

6. Finite Differencing of Parabolic and Elliptic Equations
   • Successive Over Relaxation (and beyond)
   • Tridiagonal inversion for time schemes (Gaussian Elimination)
   • Grid Design
   • Lab ex: Applications such as: balance eqn, dynamics theory, implicit time schemes ?
   • Lab ex: nonlinear BVE solution ?

7. Spectral Methods
   • Brief Introduction to Fourier Series
   • Brief Introduction to Time Series applications
   • Brief Introduction to Modelling applications:
     • Handling Nonlinear Terms: Transform Method
     • Aliasing Problems and Solutions
     • Boundary Conditions
   • Lab ex: using FFT ?
   • Lab ex: applications such as:
     • spectral form for advection eqn. ?
     • time series analysis ?

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