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 Lessons logID Lesson Name Topics Covered calitbx calculus 2 TOOLBOX* notes and hints on all course topics FUNDAMENTAL CONCEPTS cali1 antiderivatives antidifferentiating and differential equations. cali1.1 areas with Riemann sums basic priciples of integration: summing rectangles alg12 summations summation theorems and formulae TECHNIQUES OF INTEGRATION cali2 integration by parts includes "boomerang" integral cali2.1 the "boomerang" integral integrals that come back to you cali3 integration by substitution change of variable cali3.1 trig integrals techniques for integrating trig functions cali3.2 partial fraction decomposition techniques for integrating rational functions cali3.3 quadratic expression integrands integrating irreducible quadratics cali4 trig substitutions x = a sin h, x = a tan h, and x = a sec h APPLICATIONS OF THE DEFINITE INTEGRAL cali1.0 area finding area between curves cali1.2 volumes by disk method solids of revolution, volume, cylindrical disks cali1.3 volumes by shell method solids of revolution, volume, cylindrical shells cali1.4 arc length finding length of an arc segment along a curve cali1.5 volumes by slicing volumes of solids by summing area of slices INDETERMINATE FORMS, IMPROPER INTEGRALS cali5 l'Hopital's rule limits of indeterminate forms with derivatives cali6 improper integrals infinite limits of integration, discontinuities on integrand INFINITE SERIES cali7 testing infinite series-1 geometric series, p-series, integral & nth term test cali7.1 testing infinite series-2 basic & limit comparison, ratio & root tests. cali7.2 alternating series test testing series with alternating signs -- simple test cali7.3 absolute & conditional convergence series that can be convergent and/or divergent srststs guide to tests on infinite series table of info on the infinite series tests Practice Exercises & Assignments logID Exercise or Assignment Topics Covered asgn1 assignment # 1 Mean Value Theorem, integration by substitution asgn2 assignment # 2 area, volumes by revolving and slicing, arc length asgn3 assignment # 3 all techniques of integration asgn4 assignment # 4 l'Hopital's rule, improper integrals asgn5 assignment # 5 testing infinite series for convergence intprac integral practice exercise all techniques of integration with solutions Tests and Exams calitst1 Calculus II test #1 integrals, area, volumes, Mean Value Theorem, calitst1sl Solutions: Calculus II test #1 solutions for test #1 cal2infosh information & formulas for test #2 trig integrals, inverse trig integrals, identities calitst2 Calculus II test #2 integration techniques, volume, arc length calitst2sl Solutions: Calculus II test #2 solutions for test #2 cal2tst3 Calculus II test #3 integration techniques, l'Hopital, convergence cal2tst3sl Solutions: Calculus II test #3 solutions for test #3 califnl Final exam all topics on cal II course (science) califnlsl Solutions for Final exam skimpy solutions -- by now you don't need more! prctexams practice-exams 3 recent finals from Dawson

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