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FF2222Math 237Calculus IIIFall 2006
I was almost driven to madness in considering and calculating this matter. I could not find out why the planet would rather go on an elliptical orbit [than a circular one]. Oh, ridiculous me. Johannes Kepler
That was the state of affairs when Isaac Newton was born in 1642, that Christmas Day. Kepler had died 12 years earlier, Galileo in that year. And not only astronomy but science stood at a watershed: the coming of a new mind [Newtons] that saw the crucial step from the descriptions that had done duty in the past to the dynamic, causal explanations of the future. Jacob Bronowski
OVERVIEW: Math 237 adapts the notions of differential and integral calculus to vector functions and multivariate functions. Among the many important concepts are vectors, dot and cross products, parametric representation of space curves and surfaces, arc length, curvature, level curves and surfaces, partial differentiation, gradients and directional derivatives, tangent vectors and planes, double and triple integrals, and coordinate transformations. The material of Math 237 is of immense practical importance in the area of mechanics, and originates with Newton, who developed differential and integral vector calculus primarily as a tool for the study of orbital mechanics. With this powerful tool, and the universal theory of gravitation, Newton was able to explain HYPERLINK "http://wwwgroups.dcs.stand.ac.uk/~history/Mathematicians/Kepler.html" Keplers three laws of planetary motion, a stunning achievement whose effect was to usher in the scientific revolution.
INSTRUCTOR:Dr. Dave Pruettpruettcd@jmu.eduRoop 323 (5686227) HYPERLINK "www.math.jmu.edu/~dpruett" www.math.jmu.edu/~dpruett
TEXT: CalculusOne and Several Variables (9th Ed.) by Salas, Hille, and Etgen, Wiley, 2003.
TECHNOLOGY: A graphing calculator (such as the TI83) is highly recommended. We will also occasionally use Computer Algebra Systems (CAS) such as Maple (no prior experience necessary).
GRADING:
WeightDate48% 3 1hour tests, 16% eachThursdays Sep. 21, Oct. 19, & Nov. 1617% HomeworkWeekly15% 23 Special assignments and several laboratoriesOccasional20% Comprehensive final exam710a.m. Dec. 11 (M) or Dec. 13 (W)
GRADING SCALE: 90100:A; 8089:B; 7079:C; 6069:D; below 60:F
OUTSIDE HELP: Instructor's office hours: 10:1011:00 MF, 12:2014:15 W, 14:0015:15 TH, and by appointment. During scheduled office hours, no appointment is necessary; outside these hours, the favor of an appointment is requested. Students are also strongly encouraged to form study groups.
HOMEWORK: 12 HW problems, chosen somewhat randomly from among those assigned each week, will be collected weekly on Thursdays. For full credit, work must be presented clearly and organized logically.
MAKEUPS: No makeup tests will be given. If a test is missed, for whatever reason, the final exam will be weighted proportionately more heavily.
ATTENDANCE POLICY: Faithful, ontime attendance is absolutely essential for your individual success and the collective success of Math 237.
HONOR POLICY: Students are presumed to have the highest standards of integrity. To reinforce these standards, the JMU Honor Code will be strictly enforced.
HYPERLINK "http://www.math.jmu.edu/~dpruett/math237/act_f06.doc"SCHEDULE:
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