AP PRECALCULUS - Mia’s MATH SERIES

소미혜

저자:소미혜
8-12TexasMathematicsTeacherCertificate(contentexam+PPRexam통과)
CollegeBoardcertificationforAPCalculusAB,BC
미국텍사스고등학교,국내국제고등학교수학교사경력6년
용인외대부고,경기외고,KIS,제주KIS,SIS,청라달튼,브랭섬홀,일본,싱가포르,베트남국제학교등의학생들의온라인/오프라인개인지도
(전)IBAdvanceIB,sat수학대표강사
(전)해커스유학미국수학강사
(전)PSUEduAP,SAT수학강사
수능수학강의경력4년
지난10년이상을유학수학현장에서다양한학생들과호흡하면서최적화된미국수학및국제학교수학에대한솔루션을제공해온수학전문가이다.압구정미국수학전문강사라는타이틀은위의노력들을통해서자연스럽게얻게된선생님의별칭이다.미국에서인증된수학전문강사(Texas8-12미국수학교사자격증contentexam+PPRexam통과)로관련된전문자격증을소지하고있으며,특히,해외엄마들사이에입소문난실력파강사이다.APcalculusABBC,APStatistics,SAT12math,IBMath등에서12년의경력을가지고있다.또한한국수능수학강의경력도4년이상을가지고있어서한국수학과미국/국제학교수학에대해서모두정통한수학전문가이다.

1.Functions
1.1Functions...............................................................12
1.2Rateofchange.......................................................24
1.3AnalyzingFunctions................................................33
1.4PiecewiseFunctions................................................47
1.5TransformingFunction............................................54
1.6ComposingFunctions..............................................70
1.7InverseFunction.....................................................76
1.8Limit.......................................................................90

2.PolynomialandRationalFunctions
2.1PolynomialFunctions..............................................100
2.2DivingPolynomials..................................................113
2.3RealZerosofPoly...................................................122
2.4FundamentalTheoremofAlgebra............................126
2.5RationalFunction....................................................134
2.6PolynomialandRationalInequalities........................151
2.7BinomialExpansion.................................................162
FreeResponseQuestions(fromch1-ch2)......................165

3.ExponentialandLogarithmicFunctions
3.1ExponentialFunction..............................................168
3.2CompoundInterest..................................................182
3.3LogarithmicFunction..............................................189
3.4PropertiesofLogarithm..........................................203
3.5ExpandLogEquationsandInequalities...................212
3.6ExponentialGrowthandModeling............................226
3.7Sequences..............................................................235
3.8Regression..............................................................249
3.9Semilogplots..........................................................256
FreeResponseQuestions(fromch3).............................263

4.TrigonometryDefinitionandGraphs
4.1AnglesinRadian.....................................................266
4.2TrigonometryofRightTriangles...............................276
4.3TrigonometryofAnyAngles....................................284
4.4TrigonometryinUnitCircle......................................293
4.5TrigonometricGraphsforSin,Cos............................302
4.6ModelingusingSin,Cosfunctions...........................315
4.7TrigonometricGraphsforOthers.............................322

5.TrigonometryIdentities
5.1InverseTrigonometryFunction................................334
5.2BasicTrigonometricIdentities..................................347
5.3VerifyingTrigonometricIdentities............................355
5.4SumanddifferenceIdentities..................................361
5.5Double-AngleIdentity.............................................369

6.TrigEquationsandInequalities
6.1BasicTrigonometricEquations.................................380
6.2MoreTrigonometricEquations.................................388
6.3TrigonometricInequalities.......................................396

7.PolarCurve
7.1PolarCoordinates....................................................402
7.2GraphsofPolarEquations.......................................412
7.3ComplexNumbers..................................................428
FreeResponseQuestions(fromch4-ch7)......................434

(※Ch8-Ch11isNOTassessedontheAPExam)

8.ParametricEquation
8.1ParametricEquations..............................................440
8.2MotionsandParametricEquations...........................447
8.3LinesandCirclesinParametricForm........................454

9.ConicSection
9.1ConicSectionsandParabolas..................................460
9.2Ellipses...................................................................466
9.3Hyperbolas.............................................................473
9.4TransformationofConics........................................479
9.5ConicSectionsinParametricForm...........................488

10.Vector
10.1VectorsinTwoDimensions....................................496
10.2FindingResultantVectorusingTrig........................508
10.3TheDotProduct....................................................512
10.4MotionsinVectors.................................................517

11.Matrices
11.1AlgebraofMatrices...............................................522
11.2DeterminantandInverseMatrix.............................529
11.3LinearTransformation...........................................533
11.4MatricesmodelingContext....................................541

CalculatorSkills(forTi84,TinspireCAS).....................546
MultipleChoicePracticeTest.........................................567
AnswerKey.......................................................