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study_guide final - Dynamics of the Oceans and Atmosphere...

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Dynamics of the Oceans and Atmosphere 11:670:324 Spring 2011 The final exam will be comprehensive, including the following material: 1) Expansion of total derivatives in height and pressure coordinates 2) Evaluating sign of derivatives and wind components 3) Decomposition of vectors into components 4) Vector operations, especially uses of del operator (curl, divergence, gradient) 5) Advection: mathematical representation and interpretation 6) Effects of rotating reference frame (i.e., terms introduced into momentum equation via rotation effects) 7) The fundamental forces: description, name, and mathematical representation of each 8) Definition of effective gravity 9) Identification of terms in unscaled momentum equations 10) How to scale an equation, scaling values for large-scale motions, how to simplify an equation after scaling 11) Geostrophic motion: meaning, mathematical representation, force diagrams, importance of Rossby number 12) How to write the scaled momentum equations in (x,y,z) and (x,y,p) coordinates.
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