syllabus17A (Revised Sept. 2010)

syllabus17A (Revised Sept. 2010) - DEPARTMENT OF...

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DEPARTMENT OF MATHEMATICS SYLLABUS Course # & Name: MAT 17A Calculus for Biology and Medicine (4 units) Recommended Text(s) & Price: Neuhauser’s “Calculus for biology and Medicine” 3 nd Edition (\$119.00) ISBN: 9780321644688 Prepared by: Tim Lewis Approval Date: 9/17/2010 Lecture(s) Sections Comments/Topics 1-3 1.1-1.3 Preliminaries: Elementary functions/Graphing. Include one full lecture on ‘scaling’, log transforms, and log-log/semi-log plots 4 2.1 Discrete models of exponential growth and decay 5 2.2 Sequences 6 2.3 Biological examples of discrete models (e.g. Logistic map). Basic ideas of fixed points/steady states, stability, periodic solutions and chaos). 7 3.1 Limits - only informal definition of a limit 8 3.2, 3.5 Continuity of functions (very briefly); Intermediate value theorem and the bisection method 9 3.3, 3.4 Limits; Limits at infinity; Trig limits (briefly, without detailed proofs); Sandwich Theorem, 10-11 4.1 Definition of derivative and geometric meaning; Derivative as the rate of

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syllabus17A (Revised Sept. 2010) - DEPARTMENT OF...

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