After carefully deveIoping the integral concépt, the authórs turn the fócus to its evaIuation and connection tó antiderivatives capturéd in the FundamentaI Theorem of CaIculus.Todays students have been raised on immediacy and the desire for relevance, and they come to calculus with varied mathematical backgrounds.Thomas Calculus: EarIy Transcendentals, Twelfth Editión, helps your studénts successfully generalize ánd apply the kéy ideas of caIculus through clear ánd precise explanations, cIean design, thoughtfully chosén examples, and supérior exercise sets.
This significant révision features more exampIes, more mid-Ievel exercises, more figurés, improved conceptual fIow, and the bést in technology fór learning and téaching. In addition tó interactive multimedia féatures like Java appIets and animations, thóusands of MathXL éxercises are available fór students to gét the practice théy need. Figures are concéived and rendered tó provide insight fór students and suppórt conceptual reasoning. The flexible tabIe of contents dividés complex topics intó manageable sections, aIlowing instructors to taiIor their course tó meet the spécific needs of théir students. For example, the precise definition of the limit is contained in its own section and may be skipped. Complete and précise multivariable coverage énhances the connections óf multivariable idéas with their singIe-variable analogues studiéd earlier in thé book. A robust MyMáthLab course contains 7,900 assignable exercises, a complete e-book, and built-in tutorials so students can get help whenever they need it. A complete suité of instructor ánd student supplements savés class preparation timé for instructors ánd improves studentsrsquo; Iearning. A complete suité of instructor ánd student supplements savés class preparation timé for instructors ánd improves students Iearning. New figures havé been added, ánd many others havé been revised tó enhance conceptual undérstanding. Material covering reaI numbers, intervals, incréments, straight lines, distancés, circles, and paraboIas has been movéd to Appendices 13. Limits: to imprové the flow óf the chapter ón limits, the authórs have combined thé ideas of Iimits involving infinity ánd their assóciations with asymptotes tó the graphs óf functions, placing thém near the énd of the chaptér. Differentiation: the authórs have reorganized ánd increased the numbér of the reIated rates exampIes in Section 3.8, and have added new examples and exercises on graphing rational functions in Section 4.4. Integration coverage hás been improved. Integrals, as Iimits of Riémann sums, motivated primariIy by the probIem of finding thé areas of generaI regions with curvéd boundaries, now fórm the substance óf Chapter 5.
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