im01.qxd
9/21/05
10:17 AM
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Part A. ORDINARY DIFFERENTIAL EQUATIONS (ODEs)
CHAPTER 1 FirstOrder ODEs
Major Changes
There is more material on modeling in the text as well as in the problem set. Some additions on population dynamics appear in Sec. 1.5. Electric circuits are shifted to Chap. 2, where secondorder ODEs will be available. This avoids repetitions that are unnecessary and practically irrelevant. Team Projects, CAS Projects, and CAS Experiments are included in most problem sets. SECTION 1.1. Basic Concepts. Modeling, page 2 Purpose. To give the students a first impression what an ODE is and what we mean by solving it. Background Material. For the whole chapter we need integration formulas and techniques, which the student should review. General Comments This section should be covered relatively rapidly to get quickly to the actual solution methods in the next sections. Equations (1)?(3) are just examples, not for solution, but the student will see that sol
