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Chapters,,/,,SectionsContentsVideo.,,Serves,,as,,a,,companion,,to,,any,,single-variable,,calculus,,textbook,,Informal,,,entertaining,,,and,,not,,intimidating,,Informative,,videos,,that,,follow,,the,,book--a,,full,,forty-eight,,hours,,of,,Banner's,,Princeton,,calculus-review,,course--is,,available,,at,,Adrian,,Banner,,lectures,,More,,than,,475,,examples,,(ranging,,from,,easy,,to,,hard),,provide,,step-by-step,,reasoning,,Theorems,,and,,methods,,justified,,and,,connections,,made,,to,,actual,,practice,,Difficult,,topics,,such,,as,,improper,,integrals,,and,,infinite,,series,,covered,,in,,detail,,Tried,,and,,tested,,by,,students,,taking,,freshman,,calculus,,Read,,More,,Advertising,,Product,,Details,,ISBN-13:,,9780691130880,,Publisher:,,Princeton,,University,,Press,,Publication,,date:,,03/05/2007,,Series:,,Princeton,,Lifesaver,,Study,,Guides,,Series,,Pages:,,752,,Sales,,rank:,,134,205,,Product,,dimensions:,,7.00(w),,x,,9.90(h),,x,,1.80(d),,Related,,Subjects,,Calculus,,Table,,of,,ContentsWelcome,,xviiiHow,,to,,Use,,This,,Book,,to,,Study,,for,,an,,Exam,,xixTwo,,all-purpose,,study,,tips,,xxKey,,sections,,for,,exam,,review,,(by,,topic),,xxAcknowledgments,,xxiii,,Chapter,,1:,,Functions,,,Graphs,,,and,,Lines,,11.1,,Functions,,11.1.1,,Interval,,notation,,31.1.2,,Finding,,the,,domain,,41.1.3,,Finding,,the,,range,,using,,the,,graph,,51.1.4,,The,,vertical,,line,,test,,61.2,,Inverse,,Functions,,71.2.1,,The,,horizontal,,line,,test,,81.2.2,,Finding,,the,,inverse,,91.2.3,,Restricting,,the,,domain,,91.2.4,,Inverses,,of,,inverse,,functions,,111.3,,Composition,,of,,Functions,,111.4,,Odd,,and,,Even,,Functions,,141.5,,Graphs,,of,,Linear,,Functions,,171.6,,Common,,Functions,,and,,Graphs,,19Chapter,,2:,,Review,,of,,Trigonometry,,252.1,,The,,Basics,,252.2,,Extending,,the,,Domain,,of,,Trig,,Functions,,282.2.1,,The,,ASTC,,method,,312.2.2,,Trig,,functions,,outside,,[0;,,2],,332.3,,The,,Graphs,,of,,Trig,,Functions,,352.4,,Trig,,Identities,,39Chapter,,3:,,Introduction,,to,,Limits,,413.1,,Limits:,,The,,Basic,,Idea,,413.2,,Left-Hand,,and,,Right-Hand,,Limits,,433.3,,When,,the,,Limit,,Does,,Not,,Exist,,453.4,,Limits,,at,,1,,and,,,,473.4.1,,Large,,numbers,,and,,small,,numbers,,483.5,,Two,,Common,,Misconceptions,,about,,Asymptotes,,503.6,,The,,Sandwich,,Principle,,513.7,,Summary,,of,,Basic,,Types,,of,,Limits,,54Chapter,,4:,,How,,to,,Solve,,Limit,,Problems,,Involving,,Polynomials,,574.1,,Limits,,Involving,,Rational,,Functions,,as,,,,,,a,,574.2,,Limits,,Involving,,Square,,Roots,,as,,,,,,,,614.3,,Limits,,Involving,,Rational,,Functions,,as,,,,,,,,614.3.1,,Method,,and,,examples,,644.4,,Limits,,Involving,,Poly-type,,Functions,,as,,,,,,,,664.5,,Limits,,Involving,,Rational,,Functions,,as,,,,,,-,,704.6,,Limits,,Involving,,Absolute,,Values,,72Chapter,,5:,,Continuity,,and,,Differentiability,,755.1,,Continuity,,755.1.1,,Continuity,,at,,a,,point,,765.1.2,,Continuity,,on,,an,,interval,,775.1.3,,Examples,,of,,continuous,,functions,,775.1.4,,The,,Intermediate,,Value,,Theorem,,805.1.5,,A,,harder,,IVT,,example,,825.1.6,,Maxima,,and,,minima,,of,,continuous,,functions,,825.2,,Differentiability,,845.2.1,,Average,,speed,,845.2.2,,Displacement,,and,,velocity,,855.2.3,,Instantaneous,,velocity,,865.2.4,,The,,graphical,,interpretation,,of,,velocity,,875.2.5,,Tangent,,lines,,885.2.6,,The,,derivative,,function,,905.2.7,,The,,derivative,,as,,a,,limiting,,ratio,,915.2.8,,The,,derivative,,of,,linear,,functions,,935.2.9,,Second,,and,,higher-order,,derivatives,,945.2.10,,When,,the,,derivative,,does,,not,,exist,,945.2.11,,Differentiability,,and,,continuity,,96Chapter,,6:,,How,,to,,Solve,,Differentiation,,Problems,,996.1,,Finding,,Derivatives,,Using,,the,,Definition,,996.2,,Finding,,Derivatives,,(the,,Nice,,Way),,1026.2.1,,Constant,,multiples,,of,,functions,,1036.2.2,,Sums,,and,,Differences,,of,,functions,,1036.2.3,,Products,,of,,functions,,via,,the,,product,,rule,,1046.2.4,,Quotients,,of,,functions,,via,,the,,quotient,,rule,,1056.2.5,,Composition,,of,,functions,,via,,the,,chain,,rule,,1076.2.6,,A,,nasty,,example,,1096.2.7,,Justification,,of,,the,,product,,rule,,and,,the,,chain,,rule,,1116.3,,Finding,,the,,Equation,,of,,a,,Tangent,,Line,,1146.4,,Velocity,,and,,Acceleration,,1146.4.1,,Constant,,negative,,acceleration,,1156.5,,Limits,,Which,,Are,,Derivatives,,in,,Disguise,,1176.6,,Derivatives,,of,,Piecewise-Defined,,Functions,,1196.7,,Sketching,,Derivative,,Graphs,,Directly,,123Chapter,,7:,,Trig,,Limits,,and,,Derivatives,,1277.1,,Limits,,Involving,,Trig,,Functions,,1277.1.1,,The,,small,,case,,1287.1.2,,Solving,,problemsthe,,small,,case,,1297.1.3,,The,,large,,case,,1347.1.4,,The,,"other",,case,,1377.1.5,,Proof,,of,,an,,important,,limit,,1377.2,,Derivatives,,Involving,,Trig,,Functions,,1417.2.1,,Examples,,of,,Differentiating,,trig,,functions,,1437.2.2,,Simple,,harmonic,,motion,,1457.2.3,,A,,curious,,function,,146Chapter,,8:,,Implicit,,Differentiation,,and,,Related,,Rates,,1498.1,,Implicit,,Differentiation,,1498.1.1,,Techniques,,and,,examples,,1508.1.2,,Finding,,the,,second,,derivative,,implicitly,,1548.2,,Related,,Rates,,1568.2.1,,A,,simple,,example,,1578.2.2,,A,,slightly,,harder,,example,,1598.2.3,,A,,much,,harder,,example,,1608.2.4,,A,,really,,hard,,example,,162Chapter,,9:,,Exponentials,,and,,Logarithms,,1679.1,,The,,Basics,,1679.1.1,,Review,,of,,exponentials,,1679.1.2,,Review,,of,,logarithms,,1689.1.3,,Logarithms,,,exponentials,,,and,,inverses,,1699.1.4,,Log,,rules,,1709.2,,Definition,,of,,e,,1739.2.1,,A,,question,,about,,compound,,interest,,1739.2.2,,The,,answer,,to,,our,,question,,1739.2.3,,More,,about,,e,,and,,logs,,1759.3,,Differentiation,,of,,Logs,,and,,Exponentials,,1779.3.1,,Examples,,of,,Differentiating,,exponentials,,and,,logs,,1799.4,,How,,to,,Solve,,Limit,,Problems,,Involving,,Exponentials,,or,,Logs,,1809.4.1,,Limits,,involving,,the,,definition,,of,,e,,1819.4.2,,Behavior,,of,,exponentials,,near,,0,,1829.4.3,,Behavior,,of,,logarithms,,near,,1,,1839.4.4,,Behavior,,of,,exponentials,,near,,,,or,,-1,,1849.4.5,,Behavior,,of,,logs,,near,,,,1879.4.6,,Behavior,,of,,logs,,near,,0,,1889.5,,Logarithmic,,Differentiation,,1899.5.1,,The,,derivative,,of,,a,,1929.6,,Exponential,,Growth,,and,,Decay,,1939.6.1,,Exponential,,growth,,1949.6.2,,Exponential,,decay,,1959.7,,Hyperbolic,,Functions,,198Chapter,,10:,,Inverse,,Functions,,and,,Inverse,,Trig,,Functions,,20110.1,,The,,Derivative,,and,,Inverse,,Functions,,20110.1.1,,Using,,the,,derivative,,to,,show,,that,,an,,inverse,,exists,,20110.1.2,,Derivatives,,and,,inverse,,functions:,,what,,can,,go,,wrong,,20310.1.3,,Finding,,the,,derivative,,of,,an,,inverse,,function,,20410.1.4,,A,,big,,example,,20610.2,,Inverse,,Trig,,Functions,,20810.2.1,,Inverse,,sine,,20810.2.2,,Inverse,,cosine,,21110.2.3,,Inverse,,tangent,,21310.2.4,,Inverse,,secant,,21610.2.5,,Inverse,,cosecant,,and,,inverse,,cotangent,,21710.2.6,,Computing,,inverse,,trig,,functions,,21810.3,,Inverse,,Hyperbolic,,Functions,,22010.3.1,,The,,rest,,of,,the,,inverse,,hyperbolic,,functions,,222Chapter,,11:,,The,,Derivative,,and,,Graphs,,22511.1,,Extrema,,of,,Functions,,22511.1.1,,Global,,and,,local,,extrema,,22511.1.2,,The,,Extreme,,Value,,Theorem,,22711.1.3,,How,,to,,find,,global,,maxima,,and,,minima,,22811.2,,Rolle's,,Theorem,,23011.3,,The,,Mean,,Value,,Theorem,,23311.3.1,,Consequences,,of,,the,,Mean,,Value,,Theorem,,23511.4,,The,,Second,,Derivative,,and,,Graphs,,23711.4.1,,More,,about,,points,,of,,inection,,23811.5,,Classifying,,Points,,Where,,the,,Derivative,,Vanishes,,23911.5.1,,Using,,the,,first,,derivative,,24011.5.2,,Using,,the,,second,,derivative,,242Chapter,,12:,,Sketching,,Graphs,,24512.1,,How,,to,,Construct,,a,,Table,,of,,Signs,,24512.1.1,,Making,,a,,table,,of,,signs,,for,,the,,derivative,,24712.1.2,,Making,,a,,table,,of,,signs,,for,,the,,second,,derivative,,24812.2,,The,,Big,,Method,,25012.3,,Examples,,25212.3.1,,An,,example,,without,,using,,derivatives,,25212.3.2,,The,,full,,method:,,example,,1,,25412.3.3,,The,,full,,method:,,example,,2,,25612.3.4,,The,,full,,method:,,example,,3,,25912.3.5,,The,,full,,method:,,example,,4,,262Chapter,,13:,,Optimization,,and,,Linearization,,26713.1,,Optimization,,26713.1.1,,An,,easy,,optimization,,example,,26713.1.2,,Optimization,,problems:,,the,,general,,method,,26913.1.3,,An,,optimization,,example,,26913.1.4,,Another,,optimization,,example,,27113.1.5,,Using,,implicit,,Differentiation,,in,,optimization,,27413.1.6,,A,,difficult,,optimization,,example,,27513.2,,Linearization,,27813.2.1,,Linearization,,in,,general,,27913.2.2,,The,,Differential,,28113.2.3,,Linearization,,summary,,and,,examples,,28313.2.4,,The,,error,,in,,our,,approximation,,28513.3,,Newton's,,Method,,287Chapter,,14:,,L'Hpital's,,Rule,,and,,Overview,,of,,Limits,,29314.1,,L'Hpital's,,Rule,,29314.1.1,,Type,,A:,,0/0,,case,,29414.1.2,,Type,,A:,,,,/,,,,case,,29614.1.3,,Type,,B1,,(,,-,,),,29814.1.4,,Type,,B2,,(0,,x,,),,29914.1.5,,Type,,C,,(1,,,00,,,or,,0),,30114.1.6,,Summary,,of,,L'Hpital's,,Rule,,types,,30214.2,,Overview,,of,,Limits,,303Chapter,,15:,,Introduction,,to,,Integration,,30715.1,,Sigma,,Notation,,30715.1.1,,A,,nice,,sum,,31015.1.2,,Telescoping,,series,,31115.2,,Displacement,,and,,Area,,31415.2.1,,Three,,simple,,cases,,31415.2.2,,A,,more,,general,,journey,,31715.2.3,,Signed,,area,,31915.2.4,,Continuous,,velocity,,32015.2.5,,Two,,special,,approximations,,323Chapter,,16:,,Definite,,Integrals,,32516.1,,The,,Basic,,Idea,,32516.1.1,,Some,,easy,,examples,,32716.2,,Definition,,of,,the,,Definite,,Integral,,33016.2.1,,An,,example,,of,,using,,the,,definition,,33116.3,,Properties,,of,,Definite,,Integrals,,33416.4,,Finding,,Areas,,33916.4.1,,Finding,,the,,unsigned,,area,,33916.4.2,,Finding,,the,,area,,between,,two,,curves,,34216.4.3,,Finding,,the,,area,,between,,a,,curve,,and,,the,,y-axis,,34416.5,,Estimating,,Integrals,,34616.5.1,,A,,simple,,type,,of,,estimation,,34716.6,,Averages,,and,,the,,Mean,,Value,,Theorem,,for,,Integrals,,35016.6.1,,The,,Mean,,Value,,Theorem,,for,,integrals,,35116.7,,A,,Nonintegrable,,Function,,353Chapter,,17:,,The,,Fundamental,,Theorems,,of,,Calculus,,35517.1,,Functions,,Based,,on,,Integrals,,of,,Other,,Functions,,35517.2,,The,,First,,Fundamental,,Theorem,,35817.2.1,,Introduction,,to,,antiderivatives,,36117.3,,The,,Second,,Fundamental,,Theorem,,36217.4,,Indefinite,,Integrals,,36417.5,,How,,to,,Solve,,Problems:,,The,,First,,Fundamental,,Theorem,,36617.5.1,,Variation,,1:,,variable,,left-hand,,limit,,of,,integration,,36717.5.2,,Variation,,2:,,one,,tricky,,limit,,of,,integration,,36717.5.3,,Variation,,3:,,two,,tricky,,limits,,of,,integration,,36917.5.4,,Variation,,4:,,limit,,is,,a,,derivative,,in,,disguise,,37017.6,,How,,to,,Solve,,Problems:,,The,,Second,,Fundamental,,Theorem,,37117.6.1,,Finding,,indefinite,,integrals,,37117.6.2,,Finding,,definite,,integrals,,37417.6.3,,Unsigned,,areas,,and,,absolute,,values,,37617.7,,A,,Technical,,Point,,38017.8,,Proof,,of,,the,,First,,Fundamental,,Theorem,,381Chapter,,18:,,Techniques,,of,,Integration,,,Part,,One,,38318.1,,Substitution,,38318.1.1,,Substitution,,and,,definite,,integrals,,38618.1.2,,How,,to,,decide,,what,,to,,substitute,,38918.1.3,,Theoretical,,justification,,of,,the,,substitution,,method,,39218.2,,Integration,,by,,Parts,,39318.2.1,,Some,,variations,,39418.3,,Partial,,Fractions,,39718.3.1,,The,,algebra,,of,,partial,,fractions,,39818.3.2,,Integrating,,the,,pieces,,40118.3.3,,The,,method,,and,,a,,big,,example,,404Chapter,,19:,,Techniques,,of,,Integration,,,Part,,Two,,40919.1,,Integrals,,Involving,,Trig,,Identities,,40919.2,,Integrals,,Involving,,Powers,,of,,Trig,,Functions,,41319.2.1,,Powers,,of,,sin,,and/or,,cos,,41319.2.2,,Powers,,of,,tan,,41519.2.3,,Powers,,of,,sec,,41619.2.4,,Powers,,of,,cot,,41819.2.5,,Powers,,of,,csc,,41819.2.6,,Reduction,,formulas,,41919.3,,Integrals,,Involving,,Trig,,Substitutions,,42119.3.1,,Type,,1:,,42119.3.2,,Type,,2:,,42319.3.3,,Type,,3:,,42419.3.4,,Completing,,the,,square,,and,,trig,,substitutions,,42619.3.5,,Summary,,of,,trig,,substitutions,,42619.3.6,,Technicalities,,of,,square,,roots,,and,,trig,,substitutions,,42719.4,,Overview,,of,,Techniques,,of,,Integration,,429Chapter,,20:,,Improper,,Integrals:,,Basic,,Concepts,,43120.1,,Convergence,,and,,Divergence,,43120.1.1,,Some,,examples,,of,,improper,,integrals,,43320.1.2,,Other,,blow-up,,points,,43520.2,,Integrals,,over,,Unbounded,,Regions,,43720.3,,The,,Comparison,,Test,,(Theory),,43920.4,,The,,Limit,,Comparison,,Test,,(Theory),,44120.4.1,,Functions,,asymptotic,,to,,each,,other,,44120.4.2,,The,,statement,,of,,the,,test,,44320.5,,The,,p-test,,(Theory),,44420.6,,The,,Absolute,,Convergence,,Test,,447Chapter,,21:,,Improper,,Integrals:,,How,,to,,Solve,,Problems,,45121.1,,How,,to,,Get,,Started,,45121.1.1,,Splitting,,up,,the,,integral,,45221.1.2,,How,,to,,deal,,with,,negative,,function,,values,,45321.2,,Summary,,of,,Integral,,Tests,,45421.3,,Behavior,,of,,Common,,Functions,,near,,,,and,,-,,45621.3.1,,Polynomials,,and,,poly-type,,functions,,near,,,,and,,-,,45621.3.2,,Trig,,functions,,near,,,,and,,-,,45921.3.3,,Exponentials,,near,,,,and,,-,,46121.3.4,,Logarithms,,near,,,,46521.4,,Behavior,,of,,Common,,Functions,,near,,0,,46921.4.1,,Polynomials,,and,,poly-type,,functions,,near,,0,,46921.4.2,,Trig,,functions,,near,,0,,47021.4.3,,Exponentials,,near,,0,,47221.4.4,,Logarithms,,near,,0,,47321.4.5,,The,,behavior,,of,,more,,general,,functions,,near,,0,,47421.5,,How,,to,,Deal,,with,,Problem,,Spots,,Not,,at,,0,,or,,,,475Chapter,,22:,,Sequences,,and,,Series:,,Basic,,Concepts,,47722.1,,Convergence,,and,,Divergence,,of,,Sequences,,47722.1.1,,The,,connection,,between,,sequences,,and,,functions,,47822.1.2,,Two,,important,,sequences,,48022.2,,Convergence,,and,,Divergence,,of,,Series,,48122.2.1,,Geometric,,series,,(theory),,48422.3,,The,,nth,,Term,,Test,,(Theory),,48622.4,,Properties,,of,,Both,,Infinite,,Series,,and,,Improper,,Integrals,,48722.4.1,,The,,comparison,,test,,(theory),,48722.4.2,,The,,limit,,comparison,,test,,(theory),,48822.4.3,,The,,p-test,,(theory),,48922.4.4,,The,,absolute,,convergence,,test,,49022.5,,New,,Tests,,for,,Series,,49122.5.1,,The,,ratio,,test,,(theory),,49222.5.2,,The,,root,,test,,(theory),,49322.5.3,,The,,integral,,test,,(theory),,49422.5.4,,The,,alternating,,series,,test,,(theory),,497Chapter,,23:,,How,,to,,Solve,,Series,,Problems,,50123.1,,How,,to,,Evaluate,,Geometric,,Series,,50223.2,,How,,to,,Use,,the,,nth,,Term,,Test,,50323.3,,How,,to,,Use,,the,,Ratio,,Test,,50423.4,,How,,to,,Use,,the,,Root,,Test,,50823.5,,How,,to,,Use,,the,,Integral,,Test,,50923.6,,Comparison,,Test,,,Limit,,Comparison,,Test,,,and,,p-test,,51023.7,,How,,to,,Deal,,with,,Series,,with,,Negative,,Terms,,515Chapter,,24:,,Taylor,,Polynomials,,,Taylor,,Series,,,and,,Power,,Series,,51924.1,,Approximations,,and,,Taylor,,Polynomials,,51924.1.1,,Linearization,,revisited,,52024.1.2,,Quadratic,,approximations,,52124.1.3,,Higher-degree,,approximations,,52224.1.4,,Taylor's,,Theorem,,52324.2,,Power,,Series,,and,,Taylor,,Series,,52624.2.1,,Power,,series,,in,,general,,52724.2.2,,Taylor,,series,,and,,Maclaurin,,series,,52924.2.3,,Convergence,,of,,Taylor,,series,,53024.3,,A,,Useful,,Limit,,534Chapter,,25:,,How,,to,,Solve,,Estimation,,Problems,,53525.1,,Summary,,of,,Taylor,,Polynomials,,and,,Series,,53525.2,,Finding,,Taylor,,Polynomials,,and,,Series,,53725.3,,Estimation,,Problems,,Using,,the,,Error,,Term,,54025.3.1,,First,,example,,54125.3.2,,Second,,example,,54325.3.3,,Third,,example,,54425.3.4,,Fourth,,example,,54625.3.5,,Fifth,,example,,54725.3.6,,General,,techniques,,for,,estimating,,the,,error,,term,,54825.4,,Another,,Technique,,for,,Estimating,,the,,Error,,548Chapter,,26:,,Taylor,,and,,Power,,Series:,,How,,to,,Solve,,Problems,,55126.1,,Convergence,,of,,Power,,Series,,55126.1.1,,Radius,,of,,convergence,,55126.1.2,,How,,to,,find,,the,,radius,,and,,region,,of,,convergence,,55426.2,,Getting,,New,,Taylor,,Series,,from,,Old,,Ones,,55826.2.1,,Substitution,,and,,Taylor,,series,,56026.2.2,,Differentiating,,Taylor,,series,,56226.2.3,,Integrating,,Taylor,,series,,56326.2.4,,Adding,,and,,subtracting,,Taylor,,series,,56526.2.5,,Multiplying,,Taylor,,series,,56626.2.6,,Dividing,,Taylor,,series,,56726.3,,Using,,Power,,and,,Taylor,,Series,,to,,Find,,Derivatives,,56826.4,,Using,,Maclaurin,,Series,,to,,Find,,Limits,,570Chapter,,27:,,Parametric,,Equations,,and,,Polar,,Coordinates,,57527.1,,Parametric,,Equations,,57527.1.1,,Derivatives,,of,,parametric,,equations,,57827.2,,Polar,,Coordinates,,58127.2.1,,Converting,,to,,and,,from,,polar,,coordinates,,58227.2.2,,Sketching,,curves,,in,,polar,,coordinates,,58527.2.3,,Finding,,tangents,,to,,polar,,curves,,59027.2.4,,Finding,,areas,,enclosed,,by,,polar,,curves,,591Chapter,,28:,,Complex,,Numbers,,59528.1,,The,,Basics,,59528.1.1,,Complex,,exponentials,,59828.2,,The,,Complex,,Plane,,59928.2.1,,Converting,,to,,and,,from,,polar,,form,,60128.3,,Taking,,Large,,Powers,,of,,Complex,,Numbers,,60328.4,,Solving,,zn,,=,,w,,60428.4.1,,Some,,variations,,60828.5,,Solving,,ez,,=,,w,,61028.6,,Some,,Trigonometric,,Series,,61228.7,,Euler's,,Identity,,and,,Power,,Series,,615Chapter,,29:,,Volumes,,,Arc,,Lengths,,,and,,Surface,,Areas,,61729.1,,Volumes,,of,,Solids,,of,,Revolution,,61729.1.1,,The,,disc,,method,,61929.1.2,,The,,shell,,method,,62029.1.3,,Summary,,.,,The,,,,Calculus,,,,Lifesaver:,,,,All,,,,the,,,,Tools,,,,You,,,,Need,,,,to,,,,Excel,,,,at,,,,Calculus,,,,4.3,,,,6,,,,by,,,,Adrian,,,,BannerAdrian,,,,Banner,,,,,,,,,,,,,,,,,,,,All,,,,Formats,,,,&,,,,Editions,,,,NOOK,,,,Book,,,,$14.97,,,,Paperback,,,,$15.59,,,,View,,,,All,,,,Available,,,,Formats,,,,&,,,,Editions,,,,ISBN-10:,,,,0691130884,,,,ISBN-13:,,,,9780691130880,,,,Pub.,,,,Princeton,,,,Lifesaver,,,,Study,,,,Guides.,,,,Calculus,,,,Lifesaver:,,,,A,,,,Free,,,,Online,,,,Course,,,,from,,,,Princeton,,,,,,,,Open,,,,Culture.,,,,MathematicsReference,,,,Works,,,,And,,,,Anthologies..,,,,Serves,,,,as,,,,a,,,,companion,,,,to,,,,any,,,,single-variable,,,,calculus,,,,textbook,,,,Informal,,,,,entertaining,,,,,and,,,,not,,,,intimidating,,,,Informative,,,,videos,,,,that,,,,follow,,,,the,,,,book--a,,,,full,,,,forty-eight,,,,hours,,,,of,,,,Banner's,,,,Princeton,,,,calculus-review,,,,course--is,,,,available,,,,at,,,,Adrian,,,,Banner,,,,lectures,,,,More,,,,than,,,,475,,,,examples,,,,(ranging,,,,from,,,,easy,,,,to,,,,hard),,,,provide,,,,step-by-step,,,,reasoning,,,,Theorems,,,,and,,,,methods,,,,justified,,,,and,,,,connections,,,,made,,,,to,,,,actual,,,,practice,,,,Difficult,,,,topics,,,,such,,,,as,,,,improper,,,,integrals,,,,and,,,,infinite,,,,series,,,,covered,,,,in,,,,detail,,,,Tried,,,,and,,,,tested,,,,by,,,,students,,,,taking,,,,freshman,,,,calculus,,,,.,,,,"Banner's,,,,style,,,,is,,,,informal,,,,,engaging,,,,and,,,,distinctly,,,,non-intimidating,,,,,and,,,,he,,,,takes,,,,pains,,,,to,,,,not,,,,skip,,,,any,,,,steps,,,,in,,,,discussing,,,,a,,,,problem.,,,,

For,,,many,,,students,,,,calculus,,,can,,,be,,,the,,,most,,,mystifying,,,and,,,frustrating,,,course,,,they,,,will,,,ever,,,take.,,,Section,,,11.5Chapter,,,12Classifying,,,critical,,,points,,,,sketching,,,graphs.,,,Because,,of,,its,,unique,,approach,,,The,,Calculus,,Lifesaver,,is,,a,,welcome,,addition,,to,,the,,arsenal,,of,,calculus,,teaching,,aids."--MAA,,Online.,,"Students,,,who,,,are,,,having,,,difficulty,,,in,,,calculus,,,could,,,use,,,it,,,as,,,a,,,resource,,,in,,,addition,,,to,,,their,,,professor,,,and,,,teaching,,,assistant."--Mathematics,,,Teacher.,,,The,,,,style,,,,is,,,,informal,,,,,non-intimidating,,,,,and,,,,even,,,,entertaining,,,,,without,,,,sacrificing,,,,comprehensiveness.,,,,Sections,,,10.1,,,,10.2,,,&13.2,,,(except,,,13.2.4)Inverse,,,functions,,,,inverse,,,trig,,,functions,,,,linearization.,,,The,,,Calculus,,,Lifesaver,,,provides,,,students,,,with,,,the,,,essential,,,tools,,,they,,,need,,,not,,,only,,,to,,,learn,,,calculus,,,,but,,,to,,,excel,,,at,,,it.All,,,of,,,the,,,material,,,in,,,this,,,user-friendly,,,study,,,guide,,,has,,,been,,,proven,,,to,,,get,,,results.,,,Auden,,,,Donald,,,,Barthelme,,,,Carl,,,,Sagan,,,,David,,,,Bowie,,,,Samuel,,,,Beckett,,,,Art,,,,Garfunkel,,,,Marilyn,,,,Monroe,,,,Jorge,,,,Luis,,,,Borges,,,,Picks,,,,by,,,,Female,,,,Creatives,,,,Syllabi,,,,WH,,,,Auden,,,,David,,,,Foster,,,,Wallace,,,,Donald,,,,Barthelme,,,,Allen,,,,Ginsberg,,,,Zadie,,,,Smith,,,,&,,,,Gary,,,,Shteyngart,,,,Spike,,,,Lee,,,,Lynda,,,,Barry,,,,Junot,,,,Diaz,,,,Favorite,,,,Movies,,,,Kubrick,,,,Kurosawa's,,,,100,,,,Tarantino,,,,Scorsese,,,,Tarkovsky,,,,David,,,,Lynch,,,,Werner,,,,Herzog,,,,Woody,,,,Allen,,,,Wes,,,,Anderson,,,,Luis,,,,Buuel,,,,Roger,,,,Ebert,,,,Susan,,,,Sontag,,,,Scorsese,,,,Foreign,,,,Films,,,,Philosophy,,,,Films,,,,Archives,,,,September,,,,2016,,,,August,,,,2016,,,,July,,,,2016,,,,June,,,,2016,,,,May,,,,2016,,,,April,,,,2016,,,,March,,,,2016,,,,February,,,,2016,,,,January,,,,2016,,,,December,,,,2015,,,,November,,,,2015,,,,October,,,,2015,,,,September,,,,2015,,,,August,,,,2015,,,,July,,,,2015,,,,June,,,,2015,,,,May,,,,2015,,,,April,,,,2015,,,,March,,,,2015,,,,February,,,,2015,,,,January,,,,2015,,,,December,,,,2014,,,,November,,,,2014,,,,October,,,,2014,,,,September,,,,2014,,,,August,,,,2014,,,,July,,,,2014,,,,June,,,,2014,,,,May,,,,2014,,,,April,,,,2014,,,,March,,,,2014,,,,February,,,,2014,,,,January,,,,2014,,,,December,,,,2013,,,,November,,,,2013,,,,October,,,,2013,,,,September,,,,2013,,,,August,,,,2013,,,,July,,,,2013,,,,June,,,,2013,,,,May,,,,2013,,,,April,,,,2013,,,,March,,,,2013,,,,February,,,,2013,,,,January,,,,2013,,,,December,,,,2012,,,,November,,,,2012,,,,October,,,,2012,,,,September,,,,2012,,,,August,,,,2012,,,,July,,,,2012,,,,June,,,,2012,,,,May,,,,2012,,,,April,,,,2012,,,,March,,,,2012,,,,February,,,,2012,,,,January,,,,2012,,,,December,,,,2011,,,,November,,,,2011,,,,October,,,,2011,,,,September,,,,2011,,,,August,,,,2011,,,,July,,,,2011,,,,June,,,,2011,,,,May,,,,2011,,,,April,,,,2011,,,,March,,,,2011,,,,February,,,,2011,,,,January,,,,2011,,,,December,,,,2010,,,,November,,,,2010,,,,October,,,,2010,,,,September,,,,2010,,,,August,,,,2010,,,,July,,,,2010,,,,June,,,,2010,,,,May,,,,2010,,,,April,,,,2010,,,,March,,,,2010,,,,February,,,,2010,,,,January,,,,2010,,,,December,,,,2009,,,,November,,,,2009,,,,October,,,,2009,,,,September,,,,2009,,,,August,,,,2009,,,,July,,,,2009,,,,June,,,,2009,,,,May,,,,2009,,,,April,,,,2009,,,,March,,,,2009,,,,February,,,,2009,,,,January,,,,2009,,,,December,,,,2008,,,,November,,,,2008,,,,October,,,,2008,,,,September,,,,2008,,,,August,,,,2008,,,,July,,,,2008,,,,June,,,,2008,,,,May,,,,2008,,,,April,,,,2008,,,,March,,,,2008,,,,February,,,,2008,,,,January,,,,2008,,,,December,,,,2007,,,,November,,,,2007,,,,October,,,,2007,,,,September,,,,2007,,,,August,,,,2007,,,,July,,,,2007,,,,June,,,,2007,,,,May,,,,2007,,,,April,,,,2007,,,,March,,,,2007,,,,February,,,,2007,,,,January,,,,2007,,,,December,,,,2006,,,,November,,,,2006,,,,October,,,,2006,,,,September,,,,2006,,,,2006-2016,,,,Open,,,,Culture,,,,,LLC.,,,,This,,,,study,,,,guide,,,,works,,,,as,,,,a,,,,supplement,,,,to,,,,any,,,,single-variable,,,,calculus,,,,course,,,,or,,,,textbook.,,,,

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