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Unformatted text preview: MATH314, Modeling Realizable Phenomena Practice Midterm Gidon Eshel, Physics Department, Bard College Annandale-on-Hudson, NY 12504-5000, x-7232, firstname.lastname@example.org . Remember: succinct and to the point and very clearly printed, no cursive ever. (1) Explain clearly in a sentence the Principle of Parsimony. (2) For the scalar linear model dx dt = x please (a) point out the state vector, (b) obtain the general solution and state what information you need for it to be com- plete, (c) define, and characterize the condition(s) for, instability. (3) For the model df dt = f- 10 fg dg dt = 10 fg- g, please (a) Write down the state vector. (b) Identify the coefficients and describe briefly their biological roles. (c) Point out sources of nonlinearities. (d) Linearize about a general state (i.e., a non-specific symbolic state whose compo- nents can take on any value within a specific set please point out what that set is)....
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This note was uploaded on 10/14/2010 for the course MATH 314 taught by Professor Mbelk during the Spring '10 term at Bard College.
- Spring '10