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Unformatted text preview: MATH 152, FALL 2009 CALCULUS II FOR THE MATHEMATICAL AND PHYSICAL SCIENCES CALCULUS II MATERIAL For a plain list of textbook sections covered, see the course syllabus on the website. Please email me if you encounter any errors or omissions. 1. SOLIDS OF REVOLUTION implement the disk method about the x-axis and the y-axis B look at [6.3 Ex3, Ex5] then try [6.3 Pr45, Pr55] implement the shell method about the x-axis and the y-axis B look at [6.4 Ex3, Ex4] then try [6.4 Pr7, Pr20] you should recognize when to use which of the two methods B try [6.4 Pr49] you should be able to compute the volume of a solid contained between the rotations of two functions using either of the disk or the shell method as appropriate; as a result you should understand why the “method of washers” isn’t really a method 2. MASS, WORK, ENERGY, VOLUME AND AVERAGES know the physical meaning of all of these terms, and know their basic formulae when all the parameters are constant, such as work equals force times distance traveled derive a formula for the integral when one of the parameters is changing B look at [6.2 Ex1, Ex4, Ex7, 6.5 Ex2] then try [6.2 Pr13, Pr 25, Pr45, 6.5 Pr31]Ex7, 6....
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- Fall '08
- Calculus, integration technique, MATHEMATICAL AND PHYSICAL SCIENCES, CALCULUS II MATERIAL