Mathematics & Statistics Texas Tech University Kent Pearce Department of Mathematics and Statistics Texas Tech University Lubbock, Texas 79409-1042 Voice: (806)742-2566 x 226 FAX: (806)742-1112 Email: kent.pearce@ttu.edu

 Math 1352-008 Calculus II Spring 2008 Strauss, Bradley, Smith Calculus 5th Prentice Hall

Review Final Exam applications: work, fluid force, centroid
 Section Content Area RepresentativeProblems Section 6.1 area between curves 9, 15, 22 Section 6.2 volume of a solid of rotation 15, 23, 36 Section 6.3 area bounded by polar coordinate curves 31, 46 Section 6.4 arc length; surface area of revolution 4, 8, 14, 20 Section 6.5 9, 11, 14, 19, 23, 37 Section 7.1 method of substitution 6, 12, 21 Section 7.2 integration by parts 6, 12, 13 Section 7.3 powers of trig functions; trigonometric substituion 8, 18, 24, 36, 41 Section 7.4 partial fractions 6, 16 Section 7.5 variety of problem types 2, 7, 27, 36, 45, 69 Section 7.6 first order linear differential equation 6 Section 7.7 improper integrals 8, 35 Section 7.8 hyperbolic trig functions and inverses: derivatives and integrals 21, 31, 35 Section 8.1 sequences and limits 16, 18 Section 8.2 geometric series and telescoping series 8, 25 Section 8.3 divergence test and integral test 29, 43 Section 8.4 direct comparsion test and limit comparison test 14, 39 Section 8.5 ratio test and root test 8, 21, 33 Section 8.6 alternating series test; absolute convergence; error estimates 11, 16, 34 Section 8.7 power series; interval of convergence 20, 25 Section 8.8 Taylor's series and Maclaurin series; manipulation of series; error estimates 13, 29, 33, 52 Section 9.1 vectors in R^2; computations 9, 21, 33 Section 9.2 vectors in R^3; computations 21, 26, 37 Section 9.3 dot product; angle between vectors; diretion cosines; projections 10, 15, 19, 31 Section 9.4 cross product; area; volume 6, 15, 19, 30 Section 9.5 parametric curves; equations of lines in R^3 6, 19, 28, 34 Section 9.6 planes in R^3 5, 11

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