The Essential Guide to Algebra 2 - 미국 수학 시리즈 4 (개정2판)

유하림

저자:유하림
미국NorthwesternUniversity,
B.A.inMathematicsandEconomics
(노스웨스턴대학교수학과/경제학과졸업)
마스터프렙수학영역대표강사
압구정현장강의ReachPrep원장
고등학교시절문과였다가,미국노스웨스턴대학교학부시절재학중수학에매료되어,Calculus및MultivariableCalculus조교활동및수학강의활동을해온문/이과를아우르는독특한이력을가진강사이다.현재압구정미국수학/과학전문학원으로ReachPrep(리치프렙)을운영중이며,미국명문보딩스쿨학생들과국내외국인학교및국제학교학생들을꾸준히지도하면서명성을쌓아가고있다.
2010년자기주도학습서인“몰입공부”를집필한이후,미국중고교수학에관심을본격적으로가지게되었고,현재유하림커리큘럼EssentialMathSeries를집필하여,압구정현장강의미국수학프리패스를통해,압도적으로많은학생들의피드백을통해,발전적으로교재집필에힘쓰고있다.
유학분야인터넷강의1위사이트인마스터프렙수학영역대표강사중한명으로미국수학커리큘럼의기초수학부터경시수학까지모두영어와한국어로강의하면서,실전경험을쌓아그전문성을확고히하고있다.
[저서]몰입공부
TheEssentialWorkbookforSATMathLevel2
TheEssentialMathSeries시리즈

Preface2
저자소개3
이책의구성과특징4

Topic1RealNumberSystem
1.1PropertiesofRealNumbers...............................................10
1.2RealNumberLine..............................................................12
1.3AlgebraicExpressions.......................................................15
1.4SolvingLinearEquationsandWordProblems...................17
1.5SolvingInequalities...........................................................19
1.6CompoundInequality........................................................20
1.7AbsoluteValue...................................................................21

Topic2FunctionandLinearGraph
2.1RelationandFunction........................................................32
2.2DirectVariation..................................................................34
2.3LinearFunctionandSlope-InterceptForm........................36
2.4PerpendicularandParallelLines........................................39
2.5TransformationofLinearFunction....................................41
2.6AbsoluteValueFunctionandGraph..................................43
2.7Two-VariableInequalities..................................................45

Topic3SystemofEquationsandInequalities
3.1SystemofLinearEquations...............................................58
3.2TwoMethods:SubstitutionandElimination.....................61
3.3SystemofLinearInequalities............................................64
3.4LinearProgramming..........................................................66
3.5SystemofEquationsin3Variables....................................70
3.6Matrices.............................................................................73
3.7MultiplicationofMatrix....................................................75

Topic4QuadraticEquationsandFactoring
4.1QuadraticFunction............................................................86
4.3StandardFormofaQuadraticFunctions...........................93
4.4CompletingtheSquare.......................................................95
4.5QuadraticFormula.............................................................97
4.6ComplexNumbers.............................................................99
4.7ApplicationofQuadraticFunctionandEquations.............102
4.8QuadraticInequalities........................................................106

Topic5PolynomialsandPolynomialFunction
5.1ClassificationofPolynomials............................................118
5.2End-BehaviorofPolynomialFunction..............................120
5.3TheShapeofCubicGraph.................................................121
5.4TableValuesandPolynomialDegrees...............................122
5.5Findingx-intercepts...........................................................123
5.6FindingZeros.....................................................................124
5.7GivenZeros.......................................................................125

Topic6ApplicationofPolynomials
6.1Factorization......................................................................132
6.2LongDivision....................................................................134
6.3FactorTheorem..................................................................136
6.4SyntheticDivision.............................................................137
6.5RationalRootTheorem......................................................139
6.6Twoguidelinesforfindingroots........................................141

Topic7RadicalExpressionandRadicalFunction
7.1IntroductiontoRadicals.....................................................148
7.2MultiplyingRadicalExpressions.......................................152
7.3RationalExponents............................................................157
7.4SolvingRadicalEquations.................................................159
7.5RadicalFunction................................................................162

Topic8RationalExpressionandRationalFunction
8.1InverseVariation................................................................176
8.2GraphsofRationalFunctions............................................179
8.3ReciprocalFunction...........................................................181
8.4HoleorVerticalAsymptote................................................183
8.5RationalInequality.............................................................184
8.6WordProblems..................................................................185
8.7SolvingRationalEquations................................................186

Topic9ExponentialandLogarithmicExpressionsandFunctions
9.1ExponentialFunction.........................................................198
9.2ExponentialEquation.........................................................200
9.3LogarithmicFunction.......