高等數(shù)學(xué)英文1-1-10

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MathematicsWanYuanSchoolofScience,WHUTMymailbox:Myphone:Classmailbox:高等數(shù)學(xué)英文1-1-10SomerulesforourclassPleasetakenotesPleaseturnoffyourcell-phonesIfyouarelate,justcomeinandjoinusAskquestionsassoonaspossibleDohomeworkbyyourselfHandupyourhomeworkintime高等數(shù)學(xué)英文1-1-10IntroductionAdvancedmathematicsisaprimarycourseforcollagestudent.Inthisclass,wewillintroducesomebasicconceptsandsomeusefultoolsofmathematicsforyourfurtherstudyorresearch.PartoneTheoreticalbasisofCalculusThedifferentialCalculusanditsApplicationTheintegralCalculusanditsApplication高等數(shù)學(xué)英文1-1-10高等數(shù)學(xué)英文1-1-10I.TheIntegersandtheRationalNumbers1.Set(集合)Def:Acollectionofnumberswhichsharethesameproperty.naturalnumberrational(irrational)number(positive,negative)integer自然數(shù)（正、負）整數(shù)有(無）理數(shù)realnumber實數(shù)realline實軸origin原點complexnumber復(fù)數(shù)positivenumber正數(shù)negativenumber負數(shù)§1.1PreliminariesforCalculus高等數(shù)學(xué)英文1-1-102.TheFourArithmeticOperations（四則運算）addsumsubtractdifferencemultiplydivideproductquotient（加減乘除）（和差積商）I.TheIntegersandtheRationalNumbers§1.1PreliminariesforCalculus高等數(shù)學(xué)英文1-1-10II.InequalitiesOpenIntervalClosedIntervalInfiniteInterval1.Intervals（區(qū)間）§1.1PreliminariesforCalculus高等數(shù)學(xué)英文1-1-102.Neighborhoodofpointa(點a

的鄰域）GeometricInterpretation:Thesetofpointxwhosedistancefrompointaislessthan

a

isthecenterofthisneighborhood,andistheradius.II.Inequalities§1.1PreliminariesforCalculus高等數(shù)學(xué)英文1-1-10II.Inequalities3.SolveInequalitiesSolutionThenthesolutionsetis.Example1

Solvetheinequality.§1.1PreliminariesforCalculus高等數(shù)學(xué)英文1-1-10III.AbsoluteValues（絕對值）1.AbsolutevalueSolutionExample2Letbeapositivenumber.Findapositivenumbersuchthat

Thenwechoose.§1.1PreliminariesforCalculus高等數(shù)學(xué)英文1-1-10III.AbsoluteValues2.SquareRootsprincipalrootsQuadraticFormulaaretherootsforequation§1.1PreliminariesforCalculus高等數(shù)學(xué)英文1-1-10IV.TheRectangularCoordinateSystem1.CartesianCoordinate（笛卡爾坐標(biāo)系）coordinateaxes坐標(biāo)軸x-axisy-axisquadrant象限x-coordinatey-coordinatey-coordinateP§1.1PreliminariesforCalculus高等數(shù)學(xué)英文1-1-10IV.TheRectangularCoordinateSystem2.Distanceformula§1.1PreliminariesforCalculus高等數(shù)學(xué)英文1-1-10IV.TheRectangularCoordinateSystem3.TheEquationofaCircleStandardformGeneralform§1.1PreliminariesforCalculus高等數(shù)學(xué)英文1-1-10V.TheStraightLine1.TheSlopeofaLine（直線的斜率）numeratordenominator分子分母§1.1PreliminariesforCalculus高等數(shù)學(xué)英文1-1-10V.TheStraightLine2.TheFo