140BBitsyl

# 140BBitsyl - Math 140B Syllabus Fall 2007 Mathematics for...

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Math 140B Syllabus Fall 2007 Mathematics for the Biological Sciences Instructor: Dr. M. Fabbri, McAllister 409 Website: www.math.psu.edu \ ∼ fabbri Text: Calculus for The Life Sciences Bittinger, Brand and Quintanilla 1st Ed. 2006, Pearson Addison Wesley ISBN 0-321-27935-2 140B Tentative Weekly Lecture Schedule Week Sections Topics 1 1.1, 1.2, 1.3 Biological models of Linear, Polynomial, Rational and Radical Functions 2 1.4, 1.5 Trigonometry and Biology 3 2.1, 2.2, 2.3 Limits and Continuity, Average Rate of Change 4 2.3, 2.4, 2.5 Difference Quotients and Basic Properties of Differentiation 5 2.6, 2.7, 2.8 Differentiation techniques (Product, Quotient and Chain Rules) 6 2.9, 3.1 Higher Order Derivatives, Critical points, Extrema, and 1st Derivative test 7 Review, 3.2 Midterm #1 Review, Concavity, Points of Inflection, and 2nd Derivative test 8 3.3, 3.4, Asymptotes, Curve Sketching, Extreme-Value Theorem, Max/Min Principles 9 3.5 Max/Min (Optimization) problems, Approximation Techniques, 10 3.6, 3.7, Review Implicit Differentiation and Related rates, Midterm #2 Review 11 4.1, 4.2 Midterm #2 Review, Exp/Log Functions and their Dervatives 12 4.3, 4.4 Uninhibited Growth Model, Applications of Exp & Logs 13 5.1, 5.2, 5.3 Anti-derivatives, Areas and Riemann Sums 14 5.3, 5.4, 5.5 Fundamental Theorem of Calculus, Substitutions, Integration by Parts 15 review Comprehensive Final Exam preparation 1

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Applications Include 1. Ricker’s spawner-recruit curve 2. von Bertallanfy growth model 3. Cushing’s disease 4. The Henderson-Hasselbalch equation in medicine 5. Vascular branching 6. Nerve impulse speed 7. Optimal tracheal diameter for coughing 8. Cardiac Output 9. The Bee’s cell 10. Cell Division 140B Homework Exercises. Not to be handed in. Updated periodically. Text Section Exercises § 1.1 1 , 3 , 5 , 11 , 15 , 19 , 25 , 27 , 29 , 57 § 1.2 1 , 5 , 7 , 9 , 11 , 15 , 17 , 21 , 33 § 1.3 1-13 (odds), 19 , 25 , 43 , 49 , 51 , 53 , 57 , 59 § 1.4 1-11 (odds), 39-57 (odds), 65 , 67 , 75 § 1.5 1-13 (odds), 25-31 (odds), 37-47 (odds) § 2.1 1-17 (odds), 31,33 § 2.2 1-39 (odds) § 2.3 1 , 5 , 7 , 11 , 13 , 19 , 21, 27-33 (odds) § 2.4 3 , 5 , 7 , 15 , 19 , 21 , 25 , 27 , 35 , 37 , 39 § 2.5 1-43 (odds) § 2.6 1 , 5, 9-17 (odds) § 2.7 1-41 (odds), 89-95 (odds) § 2.8 1-67 (odds) § 2.9 1-41 (odds) § 3.1 7 , 15 , 17 , 23 § 3.2
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