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MATH 138Calculus IIWinter 2015Course objectives.This course is to further expand your knowledge of calculus of one-variable functions.The goal is to continue where left off in Calculus I (MATH137) on integration. Various methods of integrationwill be introduced and applications of integration will be investigated: these will include areas between twocurves, volumes of solids of revolution and the average value of a function. An introduction to DifferentialEquations will then follow: we will study how to solve separable differential equations and linear differentialequations. We will then begin a different topic: sequences and series. Various tests of summation will beintroduced. We will then concentrate on a special type of series, the power series and look their possibleapplications. Finally the course will conclude with the study of parametric curves and conic sections.Tentative Course ScheduleWeekDatesText SectionsTopicsEvents1Jan 5–95.3, 5.5, 7.1, 7.2Review of Integration, Integration by PartsTUT2Jan 12–167.3, 7.4, 7.5Trigonometric Substitution, Partial FractionsA1 due3Jan 19–23*6.1, 6.2, 6.3, 6.5Areas, Volumes, Average Value of a FunctionA2 due4Jan 26–307.8, 9.1, 9.2Improper Integrals, Intro. to DEsA3 due5Feb 2–69.3, 9.4Separable DEsA4 due6Feb 9–139.15, 11.1Linear DEs, SequencesA5 dueFeb 16–20READING WEEK7Feb 23–27••11.2, 11.3Series, Integral Testmidterm••8Mar 2–611.4, 11.5Comparison Test, Alternating Series TestA6 due9Mar 9–13†11.6, 11.7, 11.8Abs. Conv., Ratio/Root Test, Power SeriesA7 due10Mar 16–2011.9–11.10Taylor and MacLaurin SeriesA8 due11Mar 23–2711.10, 11.11Taylor Series con’t, Applications of SeriesA9 due12Mar 30–•Apr 310.1, 10.2, 10.5Parametric Curves, Conic SectionsA10 due13Apr 6‡10.5Conic SectionsA11 not due* Drop date, no penalty ends Jan 23 ** Deadline for 50% tuition refund Feb 20.