Chapin S., Young T. The MATLAB Workbook - A Supplement for Calculus, Differential Equations and Linear Algebra (2003)(en)(73s)

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1、TheatlabWorkbook-ASupplementforCal ulus,DierentialEquationsandinearAlgebraSteveChapinandToddYoungDepartmentofathemati s,hioUniversity,Athens,H45701,anuary2,2003Copyright2002SteveChapinandToddYoung.Allrightsreserved.E-mailaddress: hapinmath.ohiou

2、.eduE-mailaddress:youngmath.ohiou.eduA knowledgmentThese ondauthorisgratefultoaryBethYoungwhooriginally on eivedofsimple omputerhomeworkas ontainedintheexer isesinthisbook.WearegratefultohioUniversityforsupportofthisproje tthroughthe1804Fund.Thanksto

3、Tsun-hoiuwhoprovidedte hni alassistan eandtoianyeyestoproofreadtheassignments.Wearealsogratefultoour olleaguesandstudentsathioUniversityformanyhelpful omments.Finally,spe ialthanksgotoarrySnyder,whohelpedwiththepreparationofmanyofthehomeworkassign

4、ments ontainedinthisbook.iiiContentsA knowledgmentiiiChapter1.
ntrodu tion1AVeryBrief
ntrotoatlab2Chapter2.reliminaryExer ises{DootSkip!!41.Fa toringExpressionsandSolvingEquations62.Dening,EvaluatingandlottingFun tions7Chapter3.DierentialCal ulus8

5、atlabCommandsforDierentialCal ulus91.imits102.imitsandDerivatives113.Derivatives124.ewton'sethod135.Exponentialsvs.owers14Chapter4.
ntegralCal ulusandSeries15atlabCommandsfor
ntegralCal ulus161.
ndenite
ntegrals172.Denite
ntegralsandumeri alA

6、pproximations183.umeri al
ntegration194.onteCarlo
ntegration215.Hyperboli Fun tionsandtheGatewayAr h226.
mproper
ntegrals237.SummationofSeries248.TaylorSeries25Chapter5.ultipleVariableCal ulus26atlabCommandsforultipleVariableCal ulus271.lottingCur

7、ves282.olarCoordinates29iv3.DeningandlottingaFun tionofTwoVariables304.Contourlots315.artialDerivatives326.Gradients337.agrangeultipliers348.Double
ntegrals35Chapter6.DierentialEquations36atlabCommandsforDierentialEquations371.SeparationofVari

8、ables382.Dire tionFields393.HomogeneousDEswithConstantCoeÆ ients404.lottingSolutionstoFirstrder
nitialValueroblems415.inearFirst-orderEquations436.inearSe ond-orderEquations447.ASpring-assSystem458.apla eTransforms469.in