Calculus Study Guide and Resources
CALC 2
01-Integration by substitution
(mathsisfun) https://www.mathsisfun.com/calculus/integration-by-substitution.html
(math.lamar) http://tutorial.math.lamar.edu/Classes/CalcI/SubstitutionRuleIndefinite.aspx
(calc1fun) https://www.youtube.com/watch?v=AMHnd6X35rI
(khanacademy) https://www.youtube.com/watch?v=b76wePnIBdU
(martahidegkuti) http://www.teaching.martahidegkuti.com/shared/lnotes/6_calculus/integral/substitution/substitutionb.pdf
02-Integration by parts
(mathcentre) http://www.mathcentre.ac.uk/resources/uploaded/mc-ty-parts-2009-1.pdf
(math.lamar) http://tutorial.math.lamar.edu/Classes/CalcII/IntegrationByParts.aspx
(patrickjmt) https://www.youtube.com/watch?v=AMHnd6X35rI
(khanacademy) https://www.youtube.com/watch?v=ouYZiIh8Ctc
(mathmeeting) https://www.youtube.com/watch?v=AMHnd6X35rI
(martahidegkuti) http://www.teaching.martahidegkuti.com/shared/lnotes/6_calculus/integral/parts/parts.pdf
03-Trigonometric Integrals
(zweigmedia) https://www.zweigmedia.com/RealWorld/trig/trig4.html
(math.lamar) http://tutorial.math.lamar.edu/Classes/CalcII/IntegralsWithTrig.aspx
(ucdavis) https://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/trigintdirectory/TrigInt.html
(patrickjmt) https://www.youtube.com/watch?v=lTqnlihOC4o
(khanacademy) https://www.youtube.com/watch?v=n34jx1FIN8M
(martahidegkuti) http://www.teaching.martahidegkuti.com/shared/lnotes/6_calculus/integral/trig1/trig1.pdf
04-Trigonometric Substitutions
(hmc) https://www.math.hmc.edu/calculus/tutorials/trig_substitution/
(math.lamar) http://tutorial.math.lamar.edu/Classes/CalcII/TrigSubstitutions.aspx
() https://www.youtube.com/watch?v=n4EK92CSuBE
() https://www.youtube.com/watch?v=3lC5AuCFK4c
() http://www.teaching.martahidegkuti.com/shared/lnotes/6_calculus/integral/trigsubstitutions/trigsubstitutions.pdf
05-Partial fractions
() https://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/partialfracdirectory/PartialFrac.html
() http://tutorial.math.lamar.edu/Classes/CalcII/PartialFractions.aspx
() https://www.youtube.com/watch?v=6qVgHWxdlZ0
() https://www.youtube.com/watch?v=7IkufOBIw5g
() http://www.teaching.martahidegkuti.com/shared/lnotes/6_calculus/integral/partial_fractions/partial_fractions.pdf
06-Improper Integrals using limits
() http://math.wisc.edu/~park/Fall2011/integration/Improper%20Integral.pdf
() http://tutorial.math.lamar.edu/Classes/CalcII/ImproperIntegrals.aspx
() https://www.youtube.com/watch?v=N1IRhxy88r4
() https://www.youtube.com/watch?v=f6cGotvktxs
() https://www.youtube.com/watch?v=9JX2s90_RNQ
() http://www.teaching.martahidegkuti.com/shared/lnotes/6_calculus/integral/improper/improper.pdf
07-Improper Integrals by comparison
() https://services.math.duke.edu/~cbray/Stanford/2003-2004/Math%2042/limitcomp.pdf
() http://tutorial.math.lamar.edu/Classes/CalcII/ImproperIntegralsCompTest.aspx
() https://www.youtube.com/watch?v=b7OetOcd188
() https://www.youtube.com/watch?v=-HOcv9iuSqA
() http://tutorial.math.lamar.edu/Problems/CalcII/ImproperIntegralsCompTest.aspx
08-Areas of regions
() http://www.dummies.com/education/math/calculus/how-to-find-the-area-between-two-curves/
() http://tutorial.math.lamar.edu/Classes/CalcI/AreaBetweenCurves.aspx
() http://www.wolframalpha.com/widget/widgetPopup.jsp?p=v&id=b6859ad03e953c8d0d952a3d3ee3247a&title=Area+between+Two+Curves+Calculator&theme=blue&i0=4
() https://www.youtube.com/watch?v=DRFyNHdVgUA
() https://www.youtube.com/watch?v=4bZyfvKazzQ
() http://tutorial.math.lamar.edu/Problems/CalcI/AreaBetweenCurves.aspx
09-Volumes of solids of revolution
() https://www.cliffsnotes.com/study-guides/calculus/calculus/applications-of-the-definite-integral/volumes-of-solids-of-revolution
() http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithRings.aspx
() https://www.youtube.com/watch?v=E5OOMbz5jZk
() https://www.youtube.com/watch?v=R_aqSL-q6_8
() https://www.youtube.com/watch?v=3oAjcLD34kc
() http://www2.bc.cc.ca.us/resperic/Math6A/Lectures/ch6/2/HW6.2/HW6.2.htm
10-Volumes of solids by cross sections
() https://www.cliffsnotes.com/study-guides/calculus/calculus/applications-of-the-definite-integral/volumes-of-solids-with-known-cross-sections
() http://tutorial.math.lamar.edu/Classes/CalcI/MoreVolume.aspx
() https://www.youtube.com/watch?v=puSlVA6mwNQ
() https://www.youtube.com/watch?v=S-agS4YaxxU
() https://www.lmtsd.org/cms/lib/PA01000427/Centricity/Domain/172/Cross%20Sections.pdf
() https://www.shmoop.com/area-volume-arc-length/solid-volume-exercises.html
11-Volumes of solids of revolution by cylindirical shells
() http://www.stewartcalculus.com/data/CALCULUS%20Concepts%20and%20Contexts/upfiles/3c3-Volums-CylinShells_Stu%20.pdf
() http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithCylinder.aspx
() https://www.youtube.com/watch?v=V6nTsxumjgU
() https://www.youtube.com/watch?v=WDEhTXuIpJI
() https://www.youtube.com/watch?v=0a5M9c_W2M4
12-Applications of integration: work
() https://www.whitman.edu/mathematics/calculus_online/section09.05.html
() http://tutorial.math.lamar.edu/Classes/CalcI/Work.aspx
() https://www.youtube.com/watch?v=Sd_Z1bw2uO8
() https://www.youtube.com/watch?v=Rib7yyn81BY
() https://www.youtube.com/watch?v=mD3mcX4ruWs
13-Applications of integration: moments and center of mass
() https://www.maplesoft.com/applications/view.aspx?sid=3970&view=html
() http://tutorial.math.lamar.edu/Classes/CalcII/CenterOfMass.aspx
() https://www.youtube.com/watch?v=XIwpxPWatiw
() https://www.youtube.com/watch?v=23UOSoNvaas
() https://www.youtube.com/watch?v=e1GtYO6P-pE
() http://tutorial.math.lamar.edu/Problems/CalcII/CenterOfMass.aspx
14-Sequences
() http://tutorial.math.lamar.edu/Classes/CalcII/Sequences.aspx
() https://www.youtube.com/watch?v=Kxh7yJC9Jr0
() https://www.youtube.com/watch?v=8j4VeqICeoQ
15-Series, convergence of series, divergence tests
() https://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/SandS/SeriesTests/test_summary.html
() http://tutorial.math.lamar.edu/Classes/CalcII/ConvergenceOfSeries.aspx
() https://www.symbolab.com/solver/series-calculator
() https://www.youtube.com/watch?v=0dWhvFDyuzE
() https://www.youtube.com/watch?v=haK3oC0L_a8
16-Geometric series
() http://mathworld.wolfram.com/GeometricSeries.html
() https://www.mathsisfun.com/algebra/sequences-sums-geometric.html
() https://www.youtube.com/watch?v=SJDTLGurBKg
() https://www.youtube.com/watch?v=yYxzq_O18Mg
() https://www.youtube.com/watch?v=b-7kCymoUpg
() https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-geo-series/e/geometric-series-of-constants
() https://www.khanacademy.org/math/algebra2/sequences-and-series/alg2-geometric-sequence-series/e/geometric-series--1
() https://study.com/cimages/multimages/16/equationinfinitegeometricsum3.jpg
() http://images.slideplayer.com/15/4519339/slides/slide_8.jpg
17-P-series and the integral test
() http://tutorial.math.lamar.edu/Classes/CalcII/IntegralTest.aspx
() https://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/SandS/SeriesTests/p-series.html
() https://www.youtube.com/watch?v=w9fC8RaklhA
() https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-basic-conv-tests/v/integral-test-divergence
() https://www.youtube.com/watch?v=ojztrQMqLgE
() http://www.tkiryl.com/Calculus/Section_8.3--The_Integral_and_Comparison_Tests/The_Integral_and_Comparison_Tests.html
() https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-basic-conv-tests/e/p-series
18-Comparison tests
() https://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/SandS/SeriesTests/limit_comparison.html
() http://tutorial.math.lamar.edu/Classes/CalcII/SeriesCompTest.aspx
() https://www.youtube.com/watch?v=xesQnFWw8f8
() https://www.youtube.com/watch?v=O-Quebw2e-8
() https://www.youtube.com/watch?v=oZtAgihok5s
() http://tutorial.math.lamar.edu/Problems/CalcII/SeriesCompTest.aspx
19-Alternating series
() https://www3.nd.edu/~apilking/Math10560/Lectures/Lecture%2027.pdf
() http://tutorial.math.lamar.edu/Classes/CalcII/AlternatingSeries.aspx
() https://www.youtube.com/watch?v=-K9Qt6YUIrI
() https://www.youtube.com/watch?v=91qVGeyTl44
() http://tutorial.math.lamar.edu/Problems/CalcII/AlternatingSeries.aspx
() http://tutorial.math.lamar.edu/Classes/CalcII/RatioTest.aspx
() http://www.dummies.com/education/math/calculus/using-the-ratio-test-to-determine-whether-a-series-converges/
() https://www.youtube.com/watch?v=iy8mhbZTY7g
() https://www.youtube.com/watch?v=gF1v_4jUgbQ
20-Absolute convergence and ratio test
() http://tutorial.math.lamar.edu/Classes/CalcII/AbsoluteConvergence.aspx
() https://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/SandS/SeriesTests/absolute_convergence.html
() https://www.youtube.com/watch?v=6hOeqjoQvNw
() https://www.youtube.com/watch?v=ORTI4kk1okM&vl=en
21-Integral test remainder estimate
() http://images.slideplayer.com/47/11718607/slides/slide_49.jpg
() http://www.mathwords.com/i/integral_test_remainder.htm
() https://www.youtube.com/watch?v=sVQdVA-icGA
() https://www.youtube.com/watch?v=vaU5DDcTfZk
() http://tutorial.math.lamar.edu/Problems/CalcII/EstimatingSeries.aspx
22-Taylor polynomials
() http://www.math.smith.edu/~rhaas/m114-00/chp4taylor.pdf
() https://people.math.gatech.edu/~cain/notes/cal9.pdf
() https://www.youtube.com/watch?v=8SsC5st4LnI
23-Power series
() https://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/SandS/PowerSeries/index.html
() http://tutorial.math.lamar.edu/Classes/CalcII/PowerSeries.aspx
() https://www.youtube.com/watch?v=DlBQcj_zQk0
() http://web.mnstate.edu/jamesju/Fall2009/Content/M262PowerSeriesPracSoln.pdf
24-Representing functions with power series
() http://mathworld.wolfram.com/TaylorSeries.html
() http://tutorial.math.lamar.edu/Classes/CalcII/TaylorSeries.aspx
() https://www.youtube.com/watch?v=3d6DsjIBzJ4
() http://web.mnstate.edu/jamesju/Fall2009/Content/M262PowerSeriesPracSoln.pdf
() https://www.youtube.com/watch?v=cjPoEZ0I5wQ
() https://www.youtube.com/watch?v=5c_x4C5tc4Y
() https://www.mathsisfun.com/algebra/taylor-series.html
25-Taylor series
() https://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/SandS/PowerSeries/series_as_functions.html
() http://tutorial.math.lamar.edu/Classes/CalcII/PowerSeriesandFunctions.aspx
() https://www.youtube.com/watch?v=XWGPjZK0Yzw
() https://www.youtube.com/watch?v=E3drAyWBO9Q
() http://www.math.wisc.edu/~park/Fall2011/sequences/seriesfunc.pdf
26-Error in taylor series approximation
() https://homepage.divms.uiowa.edu/~atkinson/ftp/ENA_Materials/Overheads/sec_1-2.pdf
() https://www.youtube.com/watch?v=hKfP5eeen5s
() https://www.youtube.com/watch?v=xIxDmekyo5Y
27-Differential equations and direction fields
() https://www.mathsisfun.com/calculus/differential-equations.html
() http://tutorial.math.lamar.edu/Classes/DE/DE.aspx
() https://www.youtube.com/watch?v=-_POEWfygmU
() https://www.youtube.com/watch?v=bxOB4Ai70HU
() http://tutorial.math.lamar.edu/Classes/DE/DirectionFields.aspx
28-euler
() http://www.ugrad.math.ubc.ca/coursedoc/math100/notes/mordifeqs/euler.html
() http://tutorial.math.lamar.edu/Classes/DE/EulersMethod.aspx
() https://www.youtube.com/watch?v=RGtCw5E7gBc
() https://www.youtube.com/watch?v=q87L9R9v274
() http://www.math.ups.edu/~martinj/courses/fall2009/m181A/EulerMethodProblemsSolns.pdf
29-Separable Equations
() https://www.cliffsnotes.com/study-guides/differential-equations/first-order-equations/separable-equations
() http://tutorial.math.lamar.edu/Classes/DE/Separable.aspx
() https://www.symbolab.com/solver/separable-differential-equation-calculator
() https://www.youtube.com/watch?v=nNHlSB6b1HU
() https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/e/separable-equations
30-Growth and decay
() http://shelovesmath.com/calculus/integral-calculus/exponential-growth/
() https://www.radford.edu/~npsigmon/courses/calculus3/mword/Section7.4notes.pdf
() https://www.youtube.com/watch?v=M9rcYTuFG4w
() https://www.youtube.com/watch?v=KlvU4jykiwM
31-The logistic equation
() http://clas.sa.ucsb.edu/staff/lee/Logistic%20Equation%20graph.gif
() http://mathworld.wolfram.com/LogisticEquation.html
() http://www.math.northwestern.edu/~mlerma/courses/math214-2-04f/notes/c2-logist.pdf
() https://www.youtube.com/watch?v=vsYWMEmNmZo
() https://www.youtube.com/watch?v=MIOj-W-jY-k
() http://eebweb.arizona.edu/Courses/Ecol302/lectures/loggrowth_answers.pdf
32-Parametric equations
() https://colalg.math.csusb.edu/~devel/precalcdemo/param/src/param.html
() http://tutorial.math.lamar.edu/Classes/CalcII/ParametricEqn.aspx
() https://www.youtube.com/watch?v=9kKZHQtYP7g
() https://www.youtube.com/watch?v=m6c6dlmUT1c
() https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-diff-param-vec-func/e/differentiate-parametric-functions
() http://mathworld.wolfram.com/PolarCoordinates.html
() http://tutorial.math.lamar.edu/Classes/CalcII/PolarCoordinates.aspx
() https://www.youtube.com/watch?v=r0fv9V9GHdo
() https://www.youtube.com/watch?v=jexMSlSDubM
33-Arc length and average value
() http://tutorial.math.lamar.edu/Classes/CalcII/ArcLength.aspx
() http://tutorial.math.lamar.edu/Classes/CalcI/AvgFcnValue.aspx
() https://www.youtube.com/watch?v=62Lj-g5owgo
() https://www.youtube.com/watch?v=nleXxLvT99M
() http://www.haverford.k12.pa.us/cms/lib5/PA01001043/Centricity/Domain/518/Section%2010.5.pptx
() http://tutorial.math.lamar.edu/Classes/CalcII/PolarArcLength.aspx
() http://tutorial.math.lamar.edu/Classes/CalcII/PolarArea.aspx
() https://www.youtube.com/watch?v=RrVEuywFhjg
34-Polar coordinates
() http://mathworld.wolfram.com/PolarCoordinates.html
() http://tutorial.math.lamar.edu/Classes/CalcII/PolarCoordinates.aspx
() https://www.youtube.com/watch?v=r0fv9V9GHdo
() https://www.youtube.com/watch?v=jexMSlSDubM
35-Area and arc length in polar coordinates
() http://www.haverford.k12.pa.us/cms/lib5/PA01001043/Centricity/Domain/518/Section%2010.5.pptx
() http://tutorial.math.lamar.edu/Classes/CalcII/PolarArcLength.aspx
() http://tutorial.math.lamar.edu/Classes/CalcII/PolarArea.aspx
() https://www.youtube.com/watch?v=RrVEuywFhjg
CALC 3
01-3D coordinate systems
() http://tutorial.math.lamar.edu/Classes/CalcIII/3DCoords.aspx
() https://www.youtube.com/watch?v=vZNtoloJbEI
() http://scientificsentence.net/Equations/CalculusIII/index.php?key=yes&Integer=3D_Coordinate_System
02-Vectors
() http://tutorial.math.lamar.edu/Classes/CalcII/Vectors_Basics.aspx
() https://www.youtube.com/watch?v=tDtYAddb4o4
() https://www.youtube.com/watch?v=Zx6bizDdkRE
03-Dot product
() http://tutorial.math.lamar.edu/Classes/CalcII/DotProduct.aspx
() https://betterexplained.com/articles/vector-calculus-understanding-the-dot-product/
() https://www.youtube.com/watch?v=geWe20O0xf4
() https://www.youtube.com/watch?v=98C7iv8OcnI
04-Cross product
() http://tutorial.math.lamar.edu/Classes/CalcII/CrossProduct.aspx
() https://betterexplained.com/articles/cross-product/
() https://www.youtube.com/watch?v=qsgK1d-_8ik
() https://www.youtube.com/watch?v=v1RerGVd6C4
05-Equations of lines and planes
() http://tutorial.math.lamar.edu/Classes/CalcIII/EqnsOfLines.aspx
() http://tutorial.math.lamar.edu/Classes/CalcIII/EqnsOfPlanes.aspx
() https://www.youtube.com/watch?v=cWC4Fs9opAg
() https://www.youtube.com/watch?v=uSVi4wJqdu4
06-Cylindirical and spherical coordinates
() http://tutorial.math.lamar.edu/Classes/CalcIII/CylindricalCoords.aspx
() http://tutorial.math.lamar.edu/Classes/CalcIII/SphericalCoords.aspx
() https://www.youtube.com/watch?v=hx-euVY_63k
() https://www.youtube.com/watch?v=rDeo721ogtk
07-Vector functions and space curves
() http://tutorial.math.lamar.edu/Classes/CalcIII/VectorFunctions.aspx
() https://www.youtube.com/watch?v=jAUzLSu1S7A
() https://www.youtube.com/watch?v=ZFp6jAORK1g
08-Derivatives and Integrals of vector functions
() http://tutorial.math.lamar.edu/Classes/CalcIII/VectorFcnsCalculus.aspx
() https://www.youtube.com/watch?v=v_o-allq8LQ
() https://www.youtube.com/watch?v=UQbo_D0L9YA
() https://www.youtube.com/watch?v=rM4VLXOc4DE
09-Arc length with vector functions
() http://tutorial.math.lamar.edu/Classes/CalcIII/VectorArcLength.aspx
() https://www.youtube.com/watch?v=XrUWHR4aUOI
() https://www.youtube.com/watch?v=X3AAltBz0wo
10-Parametric surfaces
() http://tutorial.math.lamar.edu/Classes/CalcIII/ParametricSurfaces.aspx
() https://www.youtube.com/watch?v=345SnWfahhY
() https://www.youtube.com/watch?v=H2LsHnXvoWg
11-Functions of several variables
() http://tutorial.math.lamar.edu/Classes/CalcIII/MultiVrbleFcns.aspx
() https://www.youtube.com/watch?v=UWiPnPITFfI
() https://www.youtube.com/watch?v=LPSw9FO57ds
12-limits and continuity for functions of several variables
() http://tutorial.math.lamar.edu/Classes/CalcIII/Limits.aspx
() https://www.youtube.com/watch?v=PtWa4gkGzlM
() https://www.youtube.com/watch?v=ebDY9i8Kn1I
13-Partial derivatives
() http://tutorial.math.lamar.edu/Classes/CalcIII/PartialDerivatives.aspx
() https://www.youtube.com/watch?v=SbfRDBmyAMI
() https://www.youtube.com/watch?v=1CMDS4-PKKQ
14-Tangent planes and linear approximation
() http://tutorial.math.lamar.edu/Classes/CalcIII/TangentPlanes.aspx
() https://www.youtube.com/watch?v=e1Kp-fUIJCU
() https://www.youtube.com/watch?v=_lS4sgiG8x8
() https://www.youtube.com/watch?v=l_FOLwIfVuA
15-The chain rule
() http://tutorial.math.lamar.edu/Classes/CalcIII/ChainRule.aspx
() https://www.youtube.com/watch?v=HOYA0-pOHsg
() https://www.youtube.com/watch?v=NircIRdNUrE
16-Directional derivatives and the gradient vector
() http://tutorial.math.lamar.edu/Classes/CalcIII/DirectionalDeriv.aspx
() http://tutorial.math.lamar.edu/Classes/CalcIII/GradientVectorTangentPlane.aspx
() https://www.youtube.com/watch?v=Fk9uqxCVctg
() https://www.youtube.com/watch?v=kE2h4oB3K5A
() https://www.youtube.com/watch?v=uCY0XYXgYQo
17-Maximum and minimum values
() http://tutorial.math.lamar.edu/Classes/CalcIII/RelativeExtrema.aspx
() http://tutorial.math.lamar.edu/Classes/CalcIII/AbsoluteExtrema.aspx
() https://www.youtube.com/watch?v=vkzsxvucLjQ
() https://www.youtube.com/watch?v=ux7EQ3ip2DU
18-Lagrange multipliers
() http://tutorial.math.lamar.edu/Classes/CalcIII/LagrangeMultipliers.aspx
() https://www.youtube.com/watch?v=ry9cgNx1QV8
() https://www.youtube.com/watch?v=iVMDEPc2YQw
19-Double integrals over rectangles
() http://tutorial.math.lamar.edu/Classes/CalcIII/DoubleIntegrals.aspx
() https://www.youtube.com/watch?v=QY7WFlTa8_U
() https://www.youtube.com/watch?v=zMcq4uVRtpM
20-Iterated Integrals
() http://tutorial.math.lamar.edu/Classes/CalcIII/IteratedIntegrals.aspx
() https://www.youtube.com/watch?v=IO080wDQq8U
21-Double integrals over general regions
() http://tutorial.math.lamar.edu/Classes/CalcIII/DIGeneralRegion.aspx
() https://www.youtube.com/watch?v=k7ND70gFTLU
() https://www.youtube.com/watch?v=w-R3OJgCMnE
() https://www.youtube.com/watch?v=zmgvJuedgko
22-Double integrals in polar coordinates
() http://tutorial.math.lamar.edu/Classes/CalcIII/DIPolarCoords.aspx
() https://www.youtube.com/watch?v=sQM-8Oj4Ecg
() https://www.youtube.com/watch?v=flaT7HuYk-Q
() https://www.youtube.com/watch?v=zknGq9CvZTQ
23-Surface area using double integrals
() http://tutorial.math.lamar.edu/Classes/CalcIII/SurfaceArea.aspx
() https://www.youtube.com/watch?v=DZj7NSdr7aU
24-Triple integrals
() http://tutorial.math.lamar.edu/Classes/CalcIII/TripleIntegrals.aspx
() https://www.youtube.com/watch?v=BY-2zoSmsRU
() https://www.youtube.com/watch?v=vJ-RTeBGbjI
25-Triple integrals in cylindirical and spherical coordinates
() http://tutorial.math.lamar.edu/Classes/CalcIII/TICylindricalCoords.aspx
() http://tutorial.math.lamar.edu/Classes/CalcIII/TISphericalCoords.aspx
() https://www.youtube.com/watch?v=sjU3QrxoKaE
() https://www.youtube.com/watch?v=UfLLmtdfO0M
26-Change of variables in multiple integrals
() http://tutorial.math.lamar.edu/Classes/CalcIII/ChangeOfVariables.aspx
() https://www.youtube.com/watch?v=jSjFKcOZY3s
() https://www.youtube.com/watch?v=0lt0e1Rhgfc
27-Vector fields
() http://tutorial.math.lamar.edu/Classes/CalcIII/VectorFields.aspx
() https://www.youtube.com/watch?v=XGWhfSHl8Eo
() https://www.youtube.com/watch?v=5FWAVmwMXWg
28-line integrals over scalar fields
() http://tutorial.math.lamar.edu/Classes/CalcIII/LineIntegralsPtI.aspx
() http://tutorial.math.lamar.edu/Classes/CalcIII/LineIntegralsPtII.aspx
() https://www.youtube.com/watch?v=_60sKaoRmhU
29-line integrals over vector fields
() http://tutorial.math.lamar.edu/Classes/CalcIII/LineIntegralsVectorFields.aspx
() https://www.youtube.com/watch?v=t3cJYNdQLYg
30-Fundamental Theorem of Calculus for Line Integrals
() http://tutorial.math.lamar.edu/Classes/CalcIII/FundThmLineIntegrals.aspx
() https://www.youtube.com/watch?v=xVhHow_usMQ
() https://www.youtube.com/watch?v=mdnD8DhBQdo
31-Greens Theorem
() http://tutorial.math.lamar.edu/Classes/CalcIII/GreensTheorem.aspx
() https://www.youtube.com/watch?v=a_zdFvYXX_c
() https://www.youtube.com/watch?v=gGXnILbrhsM
32-Curl and Divergence
() http://tutorial.math.lamar.edu/Classes/CalcIII/CurlDivergence.aspx
() https://www.youtube.com/watch?v=cq3Yf8OGZpo
33-Surface Integrals
() http://tutorial.math.lamar.edu/Classes/CalcIII/SurfaceIntegrals.aspx
() https://www.youtube.com/watch?v=wcQ-M52POg4
() https://www.youtube.com/watch?v=SnUuJ7lRTNw
34-Stokes Theorem
() http://tutorial.math.lamar.edu/Classes/CalcIII/StokesTheorem.aspx
() https://www.youtube.com/watch?v=WpJcuKVsZcI
() https://www.youtube.com/watch?v=E2MRMdaPKcc
35-Divergence theorem
(math.lamar) () http://tutorial.math.lamar.edu/Classes/CalcIII/DivergenceTheorem.aspx
(divergence theorem step by step) () https://www.youtube.com/watch?v=pYLoOQ8WyP4
(3d divergence theorem intuition) (khan academy) () https://www.youtube.com/watch?v=XyiQ2dwJHXE
36-Practice Tests
(wustl exam archive) () https://math.wustl.edu/resources
(umich exam practice) () http://www.math.lsa.umich.edu/courses/215/17exampractice/index.html
(mit exams) () https://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/exams/
CALC 2
01-Integration by substitution
(mathsisfun) https://www.mathsisfun.com/calculus/integration-by-substitution.html
(math.lamar) http://tutorial.math.lamar.edu/Classes/CalcI/SubstitutionRuleIndefinite.aspx
(calc1fun) https://www.youtube.com/watch?v=AMHnd6X35rI
(khanacademy) https://www.youtube.com/watch?v=b76wePnIBdU
(martahidegkuti) http://www.teaching.martahidegkuti.com/shared/lnotes/6_calculus/integral/substitution/substitutionb.pdf
02-Integration by parts
(mathcentre) http://www.mathcentre.ac.uk/resources/uploaded/mc-ty-parts-2009-1.pdf
(math.lamar) http://tutorial.math.lamar.edu/Classes/CalcII/IntegrationByParts.aspx
(patrickjmt) https://www.youtube.com/watch?v=AMHnd6X35rI
(khanacademy) https://www.youtube.com/watch?v=ouYZiIh8Ctc
(mathmeeting) https://www.youtube.com/watch?v=AMHnd6X35rI
(martahidegkuti) http://www.teaching.martahidegkuti.com/shared/lnotes/6_calculus/integral/parts/parts.pdf
03-Trigonometric Integrals
(zweigmedia) https://www.zweigmedia.com/RealWorld/trig/trig4.html
(math.lamar) http://tutorial.math.lamar.edu/Classes/CalcII/IntegralsWithTrig.aspx
(ucdavis) https://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/trigintdirectory/TrigInt.html
(patrickjmt) https://www.youtube.com/watch?v=lTqnlihOC4o
(khanacademy) https://www.youtube.com/watch?v=n34jx1FIN8M
(martahidegkuti) http://www.teaching.martahidegkuti.com/shared/lnotes/6_calculus/integral/trig1/trig1.pdf
04-Trigonometric Substitutions
(hmc) https://www.math.hmc.edu/calculus/tutorials/trig_substitution/
(math.lamar) http://tutorial.math.lamar.edu/Classes/CalcII/TrigSubstitutions.aspx
() https://www.youtube.com/watch?v=n4EK92CSuBE
() https://www.youtube.com/watch?v=3lC5AuCFK4c
() http://www.teaching.martahidegkuti.com/shared/lnotes/6_calculus/integral/trigsubstitutions/trigsubstitutions.pdf
05-Partial fractions
() https://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/partialfracdirectory/PartialFrac.html
() http://tutorial.math.lamar.edu/Classes/CalcII/PartialFractions.aspx
() https://www.youtube.com/watch?v=6qVgHWxdlZ0
() https://www.youtube.com/watch?v=7IkufOBIw5g
() http://www.teaching.martahidegkuti.com/shared/lnotes/6_calculus/integral/partial_fractions/partial_fractions.pdf
06-Improper Integrals using limits
() http://math.wisc.edu/~park/Fall2011/integration/Improper%20Integral.pdf
() http://tutorial.math.lamar.edu/Classes/CalcII/ImproperIntegrals.aspx
() https://www.youtube.com/watch?v=N1IRhxy88r4
() https://www.youtube.com/watch?v=f6cGotvktxs
() https://www.youtube.com/watch?v=9JX2s90_RNQ
() http://www.teaching.martahidegkuti.com/shared/lnotes/6_calculus/integral/improper/improper.pdf
07-Improper Integrals by comparison
() https://services.math.duke.edu/~cbray/Stanford/2003-2004/Math%2042/limitcomp.pdf
() http://tutorial.math.lamar.edu/Classes/CalcII/ImproperIntegralsCompTest.aspx
() https://www.youtube.com/watch?v=b7OetOcd188
() https://www.youtube.com/watch?v=-HOcv9iuSqA
() http://tutorial.math.lamar.edu/Problems/CalcII/ImproperIntegralsCompTest.aspx
08-Areas of regions
() http://www.dummies.com/education/math/calculus/how-to-find-the-area-between-two-curves/
() http://tutorial.math.lamar.edu/Classes/CalcI/AreaBetweenCurves.aspx
() http://www.wolframalpha.com/widget/widgetPopup.jsp?p=v&id=b6859ad03e953c8d0d952a3d3ee3247a&title=Area+between+Two+Curves+Calculator&theme=blue&i0=4
() https://www.youtube.com/watch?v=DRFyNHdVgUA
() https://www.youtube.com/watch?v=4bZyfvKazzQ
() http://tutorial.math.lamar.edu/Problems/CalcI/AreaBetweenCurves.aspx
09-Volumes of solids of revolution
() https://www.cliffsnotes.com/study-guides/calculus/calculus/applications-of-the-definite-integral/volumes-of-solids-of-revolution
() http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithRings.aspx
() https://www.youtube.com/watch?v=E5OOMbz5jZk
() https://www.youtube.com/watch?v=R_aqSL-q6_8
() https://www.youtube.com/watch?v=3oAjcLD34kc
() http://www2.bc.cc.ca.us/resperic/Math6A/Lectures/ch6/2/HW6.2/HW6.2.htm
10-Volumes of solids by cross sections
() https://www.cliffsnotes.com/study-guides/calculus/calculus/applications-of-the-definite-integral/volumes-of-solids-with-known-cross-sections
() http://tutorial.math.lamar.edu/Classes/CalcI/MoreVolume.aspx
() https://www.youtube.com/watch?v=puSlVA6mwNQ
() https://www.youtube.com/watch?v=S-agS4YaxxU
() https://www.lmtsd.org/cms/lib/PA01000427/Centricity/Domain/172/Cross%20Sections.pdf
() https://www.shmoop.com/area-volume-arc-length/solid-volume-exercises.html
11-Volumes of solids of revolution by cylindirical shells
() http://www.stewartcalculus.com/data/CALCULUS%20Concepts%20and%20Contexts/upfiles/3c3-Volums-CylinShells_Stu%20.pdf
() http://tutorial.math.lamar.edu/Classes/CalcI/VolumeWithCylinder.aspx
() https://www.youtube.com/watch?v=V6nTsxumjgU
() https://www.youtube.com/watch?v=WDEhTXuIpJI
() https://www.youtube.com/watch?v=0a5M9c_W2M4
12-Applications of integration: work
() https://www.whitman.edu/mathematics/calculus_online/section09.05.html
() http://tutorial.math.lamar.edu/Classes/CalcI/Work.aspx
() https://www.youtube.com/watch?v=Sd_Z1bw2uO8
() https://www.youtube.com/watch?v=Rib7yyn81BY
() https://www.youtube.com/watch?v=mD3mcX4ruWs
13-Applications of integration: moments and center of mass
() https://www.maplesoft.com/applications/view.aspx?sid=3970&view=html
() http://tutorial.math.lamar.edu/Classes/CalcII/CenterOfMass.aspx
() https://www.youtube.com/watch?v=XIwpxPWatiw
() https://www.youtube.com/watch?v=23UOSoNvaas
() https://www.youtube.com/watch?v=e1GtYO6P-pE
() http://tutorial.math.lamar.edu/Problems/CalcII/CenterOfMass.aspx
14-Sequences
() http://tutorial.math.lamar.edu/Classes/CalcII/Sequences.aspx
() https://www.youtube.com/watch?v=Kxh7yJC9Jr0
() https://www.youtube.com/watch?v=8j4VeqICeoQ
15-Series, convergence of series, divergence tests
() https://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/SandS/SeriesTests/test_summary.html
() http://tutorial.math.lamar.edu/Classes/CalcII/ConvergenceOfSeries.aspx
() https://www.symbolab.com/solver/series-calculator
() https://www.youtube.com/watch?v=0dWhvFDyuzE
() https://www.youtube.com/watch?v=haK3oC0L_a8
16-Geometric series
() http://mathworld.wolfram.com/GeometricSeries.html
() https://www.mathsisfun.com/algebra/sequences-sums-geometric.html
() https://www.youtube.com/watch?v=SJDTLGurBKg
() https://www.youtube.com/watch?v=yYxzq_O18Mg
() https://www.youtube.com/watch?v=b-7kCymoUpg
() https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-inf-geo-series/e/geometric-series-of-constants
() https://www.khanacademy.org/math/algebra2/sequences-and-series/alg2-geometric-sequence-series/e/geometric-series--1
() https://study.com/cimages/multimages/16/equationinfinitegeometricsum3.jpg
() http://images.slideplayer.com/15/4519339/slides/slide_8.jpg
17-P-series and the integral test
() http://tutorial.math.lamar.edu/Classes/CalcII/IntegralTest.aspx
() https://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/SandS/SeriesTests/p-series.html
() https://www.youtube.com/watch?v=w9fC8RaklhA
() https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-basic-conv-tests/v/integral-test-divergence
() https://www.youtube.com/watch?v=ojztrQMqLgE
() http://www.tkiryl.com/Calculus/Section_8.3--The_Integral_and_Comparison_Tests/The_Integral_and_Comparison_Tests.html
() https://www.khanacademy.org/math/ap-calculus-bc/bc-series/bc-basic-conv-tests/e/p-series
18-Comparison tests
() https://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/SandS/SeriesTests/limit_comparison.html
() http://tutorial.math.lamar.edu/Classes/CalcII/SeriesCompTest.aspx
() https://www.youtube.com/watch?v=xesQnFWw8f8
() https://www.youtube.com/watch?v=O-Quebw2e-8
() https://www.youtube.com/watch?v=oZtAgihok5s
() http://tutorial.math.lamar.edu/Problems/CalcII/SeriesCompTest.aspx
19-Alternating series
() https://www3.nd.edu/~apilking/Math10560/Lectures/Lecture%2027.pdf
() http://tutorial.math.lamar.edu/Classes/CalcII/AlternatingSeries.aspx
() https://www.youtube.com/watch?v=-K9Qt6YUIrI
() https://www.youtube.com/watch?v=91qVGeyTl44
() http://tutorial.math.lamar.edu/Problems/CalcII/AlternatingSeries.aspx
() http://tutorial.math.lamar.edu/Classes/CalcII/RatioTest.aspx
() http://www.dummies.com/education/math/calculus/using-the-ratio-test-to-determine-whether-a-series-converges/
() https://www.youtube.com/watch?v=iy8mhbZTY7g
() https://www.youtube.com/watch?v=gF1v_4jUgbQ
20-Absolute convergence and ratio test
() http://tutorial.math.lamar.edu/Classes/CalcII/AbsoluteConvergence.aspx
() https://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/SandS/SeriesTests/absolute_convergence.html
() https://www.youtube.com/watch?v=6hOeqjoQvNw
() https://www.youtube.com/watch?v=ORTI4kk1okM&vl=en
21-Integral test remainder estimate
() http://images.slideplayer.com/47/11718607/slides/slide_49.jpg
() http://www.mathwords.com/i/integral_test_remainder.htm
() https://www.youtube.com/watch?v=sVQdVA-icGA
() https://www.youtube.com/watch?v=vaU5DDcTfZk
() http://tutorial.math.lamar.edu/Problems/CalcII/EstimatingSeries.aspx
22-Taylor polynomials
() http://www.math.smith.edu/~rhaas/m114-00/chp4taylor.pdf
() https://people.math.gatech.edu/~cain/notes/cal9.pdf
() https://www.youtube.com/watch?v=8SsC5st4LnI
23-Power series
() https://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/SandS/PowerSeries/index.html
() http://tutorial.math.lamar.edu/Classes/CalcII/PowerSeries.aspx
() https://www.youtube.com/watch?v=DlBQcj_zQk0
() http://web.mnstate.edu/jamesju/Fall2009/Content/M262PowerSeriesPracSoln.pdf
24-Representing functions with power series
() http://mathworld.wolfram.com/TaylorSeries.html
() http://tutorial.math.lamar.edu/Classes/CalcII/TaylorSeries.aspx
() https://www.youtube.com/watch?v=3d6DsjIBzJ4
() http://web.mnstate.edu/jamesju/Fall2009/Content/M262PowerSeriesPracSoln.pdf
() https://www.youtube.com/watch?v=cjPoEZ0I5wQ
() https://www.youtube.com/watch?v=5c_x4C5tc4Y
() https://www.mathsisfun.com/algebra/taylor-series.html
25-Taylor series
() https://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/SandS/PowerSeries/series_as_functions.html
() http://tutorial.math.lamar.edu/Classes/CalcII/PowerSeriesandFunctions.aspx
() https://www.youtube.com/watch?v=XWGPjZK0Yzw
() https://www.youtube.com/watch?v=E3drAyWBO9Q
() http://www.math.wisc.edu/~park/Fall2011/sequences/seriesfunc.pdf
26-Error in taylor series approximation
() https://homepage.divms.uiowa.edu/~atkinson/ftp/ENA_Materials/Overheads/sec_1-2.pdf
() https://www.youtube.com/watch?v=hKfP5eeen5s
() https://www.youtube.com/watch?v=xIxDmekyo5Y
27-Differential equations and direction fields
() https://www.mathsisfun.com/calculus/differential-equations.html
() http://tutorial.math.lamar.edu/Classes/DE/DE.aspx
() https://www.youtube.com/watch?v=-_POEWfygmU
() https://www.youtube.com/watch?v=bxOB4Ai70HU
() http://tutorial.math.lamar.edu/Classes/DE/DirectionFields.aspx
28-euler
() http://www.ugrad.math.ubc.ca/coursedoc/math100/notes/mordifeqs/euler.html
() http://tutorial.math.lamar.edu/Classes/DE/EulersMethod.aspx
() https://www.youtube.com/watch?v=RGtCw5E7gBc
() https://www.youtube.com/watch?v=q87L9R9v274
() http://www.math.ups.edu/~martinj/courses/fall2009/m181A/EulerMethodProblemsSolns.pdf
29-Separable Equations
() https://www.cliffsnotes.com/study-guides/differential-equations/first-order-equations/separable-equations
() http://tutorial.math.lamar.edu/Classes/DE/Separable.aspx
() https://www.symbolab.com/solver/separable-differential-equation-calculator
() https://www.youtube.com/watch?v=nNHlSB6b1HU
() https://www.khanacademy.org/math/ap-calculus-ab/ab-diff-equations/ab-separable-eq/e/separable-equations
30-Growth and decay
() http://shelovesmath.com/calculus/integral-calculus/exponential-growth/
() https://www.radford.edu/~npsigmon/courses/calculus3/mword/Section7.4notes.pdf
() https://www.youtube.com/watch?v=M9rcYTuFG4w
() https://www.youtube.com/watch?v=KlvU4jykiwM
31-The logistic equation
() http://clas.sa.ucsb.edu/staff/lee/Logistic%20Equation%20graph.gif
() http://mathworld.wolfram.com/LogisticEquation.html
() http://www.math.northwestern.edu/~mlerma/courses/math214-2-04f/notes/c2-logist.pdf
() https://www.youtube.com/watch?v=vsYWMEmNmZo
() https://www.youtube.com/watch?v=MIOj-W-jY-k
() http://eebweb.arizona.edu/Courses/Ecol302/lectures/loggrowth_answers.pdf
32-Parametric equations
() https://colalg.math.csusb.edu/~devel/precalcdemo/param/src/param.html
() http://tutorial.math.lamar.edu/Classes/CalcII/ParametricEqn.aspx
() https://www.youtube.com/watch?v=9kKZHQtYP7g
() https://www.youtube.com/watch?v=m6c6dlmUT1c
() https://www.khanacademy.org/math/ap-calculus-bc/bc-derivatives-advanced/bc-diff-param-vec-func/e/differentiate-parametric-functions
() http://mathworld.wolfram.com/PolarCoordinates.html
() http://tutorial.math.lamar.edu/Classes/CalcII/PolarCoordinates.aspx
() https://www.youtube.com/watch?v=r0fv9V9GHdo
() https://www.youtube.com/watch?v=jexMSlSDubM
33-Arc length and average value
() http://tutorial.math.lamar.edu/Classes/CalcII/ArcLength.aspx
() http://tutorial.math.lamar.edu/Classes/CalcI/AvgFcnValue.aspx
() https://www.youtube.com/watch?v=62Lj-g5owgo
() https://www.youtube.com/watch?v=nleXxLvT99M
() http://www.haverford.k12.pa.us/cms/lib5/PA01001043/Centricity/Domain/518/Section%2010.5.pptx
() http://tutorial.math.lamar.edu/Classes/CalcII/PolarArcLength.aspx
() http://tutorial.math.lamar.edu/Classes/CalcII/PolarArea.aspx
() https://www.youtube.com/watch?v=RrVEuywFhjg
34-Polar coordinates
() http://mathworld.wolfram.com/PolarCoordinates.html
() http://tutorial.math.lamar.edu/Classes/CalcII/PolarCoordinates.aspx
() https://www.youtube.com/watch?v=r0fv9V9GHdo
() https://www.youtube.com/watch?v=jexMSlSDubM
35-Area and arc length in polar coordinates
() http://www.haverford.k12.pa.us/cms/lib5/PA01001043/Centricity/Domain/518/Section%2010.5.pptx
() http://tutorial.math.lamar.edu/Classes/CalcII/PolarArcLength.aspx
() http://tutorial.math.lamar.edu/Classes/CalcII/PolarArea.aspx
() https://www.youtube.com/watch?v=RrVEuywFhjg
CALC 3
01-3D coordinate systems
() http://tutorial.math.lamar.edu/Classes/CalcIII/3DCoords.aspx
() https://www.youtube.com/watch?v=vZNtoloJbEI
() http://scientificsentence.net/Equations/CalculusIII/index.php?key=yes&Integer=3D_Coordinate_System
02-Vectors
() http://tutorial.math.lamar.edu/Classes/CalcII/Vectors_Basics.aspx
() https://www.youtube.com/watch?v=tDtYAddb4o4
() https://www.youtube.com/watch?v=Zx6bizDdkRE
03-Dot product
() http://tutorial.math.lamar.edu/Classes/CalcII/DotProduct.aspx
() https://betterexplained.com/articles/vector-calculus-understanding-the-dot-product/
() https://www.youtube.com/watch?v=geWe20O0xf4
() https://www.youtube.com/watch?v=98C7iv8OcnI
04-Cross product
() http://tutorial.math.lamar.edu/Classes/CalcII/CrossProduct.aspx
() https://betterexplained.com/articles/cross-product/
() https://www.youtube.com/watch?v=qsgK1d-_8ik
() https://www.youtube.com/watch?v=v1RerGVd6C4
05-Equations of lines and planes
() http://tutorial.math.lamar.edu/Classes/CalcIII/EqnsOfLines.aspx
() http://tutorial.math.lamar.edu/Classes/CalcIII/EqnsOfPlanes.aspx
() https://www.youtube.com/watch?v=cWC4Fs9opAg
() https://www.youtube.com/watch?v=uSVi4wJqdu4
06-Cylindirical and spherical coordinates
() http://tutorial.math.lamar.edu/Classes/CalcIII/CylindricalCoords.aspx
() http://tutorial.math.lamar.edu/Classes/CalcIII/SphericalCoords.aspx
() https://www.youtube.com/watch?v=hx-euVY_63k
() https://www.youtube.com/watch?v=rDeo721ogtk
07-Vector functions and space curves
() http://tutorial.math.lamar.edu/Classes/CalcIII/VectorFunctions.aspx
() https://www.youtube.com/watch?v=jAUzLSu1S7A
() https://www.youtube.com/watch?v=ZFp6jAORK1g
08-Derivatives and Integrals of vector functions
() http://tutorial.math.lamar.edu/Classes/CalcIII/VectorFcnsCalculus.aspx
() https://www.youtube.com/watch?v=v_o-allq8LQ
() https://www.youtube.com/watch?v=UQbo_D0L9YA
() https://www.youtube.com/watch?v=rM4VLXOc4DE
09-Arc length with vector functions
() http://tutorial.math.lamar.edu/Classes/CalcIII/VectorArcLength.aspx
() https://www.youtube.com/watch?v=XrUWHR4aUOI
() https://www.youtube.com/watch?v=X3AAltBz0wo
10-Parametric surfaces
() http://tutorial.math.lamar.edu/Classes/CalcIII/ParametricSurfaces.aspx
() https://www.youtube.com/watch?v=345SnWfahhY
() https://www.youtube.com/watch?v=H2LsHnXvoWg
11-Functions of several variables
() http://tutorial.math.lamar.edu/Classes/CalcIII/MultiVrbleFcns.aspx
() https://www.youtube.com/watch?v=UWiPnPITFfI
() https://www.youtube.com/watch?v=LPSw9FO57ds
12-limits and continuity for functions of several variables
() http://tutorial.math.lamar.edu/Classes/CalcIII/Limits.aspx
() https://www.youtube.com/watch?v=PtWa4gkGzlM
() https://www.youtube.com/watch?v=ebDY9i8Kn1I
13-Partial derivatives
() http://tutorial.math.lamar.edu/Classes/CalcIII/PartialDerivatives.aspx
() https://www.youtube.com/watch?v=SbfRDBmyAMI
() https://www.youtube.com/watch?v=1CMDS4-PKKQ
14-Tangent planes and linear approximation
() http://tutorial.math.lamar.edu/Classes/CalcIII/TangentPlanes.aspx
() https://www.youtube.com/watch?v=e1Kp-fUIJCU
() https://www.youtube.com/watch?v=_lS4sgiG8x8
() https://www.youtube.com/watch?v=l_FOLwIfVuA
15-The chain rule
() http://tutorial.math.lamar.edu/Classes/CalcIII/ChainRule.aspx
() https://www.youtube.com/watch?v=HOYA0-pOHsg
() https://www.youtube.com/watch?v=NircIRdNUrE
16-Directional derivatives and the gradient vector
() http://tutorial.math.lamar.edu/Classes/CalcIII/DirectionalDeriv.aspx
() http://tutorial.math.lamar.edu/Classes/CalcIII/GradientVectorTangentPlane.aspx
() https://www.youtube.com/watch?v=Fk9uqxCVctg
() https://www.youtube.com/watch?v=kE2h4oB3K5A
() https://www.youtube.com/watch?v=uCY0XYXgYQo
17-Maximum and minimum values
() http://tutorial.math.lamar.edu/Classes/CalcIII/RelativeExtrema.aspx
() http://tutorial.math.lamar.edu/Classes/CalcIII/AbsoluteExtrema.aspx
() https://www.youtube.com/watch?v=vkzsxvucLjQ
() https://www.youtube.com/watch?v=ux7EQ3ip2DU
18-Lagrange multipliers
() http://tutorial.math.lamar.edu/Classes/CalcIII/LagrangeMultipliers.aspx
() https://www.youtube.com/watch?v=ry9cgNx1QV8
() https://www.youtube.com/watch?v=iVMDEPc2YQw
19-Double integrals over rectangles
() http://tutorial.math.lamar.edu/Classes/CalcIII/DoubleIntegrals.aspx
() https://www.youtube.com/watch?v=QY7WFlTa8_U
() https://www.youtube.com/watch?v=zMcq4uVRtpM
20-Iterated Integrals
() http://tutorial.math.lamar.edu/Classes/CalcIII/IteratedIntegrals.aspx
() https://www.youtube.com/watch?v=IO080wDQq8U
21-Double integrals over general regions
() http://tutorial.math.lamar.edu/Classes/CalcIII/DIGeneralRegion.aspx
() https://www.youtube.com/watch?v=k7ND70gFTLU
() https://www.youtube.com/watch?v=w-R3OJgCMnE
() https://www.youtube.com/watch?v=zmgvJuedgko
22-Double integrals in polar coordinates
() http://tutorial.math.lamar.edu/Classes/CalcIII/DIPolarCoords.aspx
() https://www.youtube.com/watch?v=sQM-8Oj4Ecg
() https://www.youtube.com/watch?v=flaT7HuYk-Q
() https://www.youtube.com/watch?v=zknGq9CvZTQ
23-Surface area using double integrals
() http://tutorial.math.lamar.edu/Classes/CalcIII/SurfaceArea.aspx
() https://www.youtube.com/watch?v=DZj7NSdr7aU
24-Triple integrals
() http://tutorial.math.lamar.edu/Classes/CalcIII/TripleIntegrals.aspx
() https://www.youtube.com/watch?v=BY-2zoSmsRU
() https://www.youtube.com/watch?v=vJ-RTeBGbjI
25-Triple integrals in cylindirical and spherical coordinates
() http://tutorial.math.lamar.edu/Classes/CalcIII/TICylindricalCoords.aspx
() http://tutorial.math.lamar.edu/Classes/CalcIII/TISphericalCoords.aspx
() https://www.youtube.com/watch?v=sjU3QrxoKaE
() https://www.youtube.com/watch?v=UfLLmtdfO0M
26-Change of variables in multiple integrals
() http://tutorial.math.lamar.edu/Classes/CalcIII/ChangeOfVariables.aspx
() https://www.youtube.com/watch?v=jSjFKcOZY3s
() https://www.youtube.com/watch?v=0lt0e1Rhgfc
27-Vector fields
() http://tutorial.math.lamar.edu/Classes/CalcIII/VectorFields.aspx
() https://www.youtube.com/watch?v=XGWhfSHl8Eo
() https://www.youtube.com/watch?v=5FWAVmwMXWg
28-line integrals over scalar fields
() http://tutorial.math.lamar.edu/Classes/CalcIII/LineIntegralsPtI.aspx
() http://tutorial.math.lamar.edu/Classes/CalcIII/LineIntegralsPtII.aspx
() https://www.youtube.com/watch?v=_60sKaoRmhU
29-line integrals over vector fields
() http://tutorial.math.lamar.edu/Classes/CalcIII/LineIntegralsVectorFields.aspx
() https://www.youtube.com/watch?v=t3cJYNdQLYg
30-Fundamental Theorem of Calculus for Line Integrals
() http://tutorial.math.lamar.edu/Classes/CalcIII/FundThmLineIntegrals.aspx
() https://www.youtube.com/watch?v=xVhHow_usMQ
() https://www.youtube.com/watch?v=mdnD8DhBQdo
31-Greens Theorem
() http://tutorial.math.lamar.edu/Classes/CalcIII/GreensTheorem.aspx
() https://www.youtube.com/watch?v=a_zdFvYXX_c
() https://www.youtube.com/watch?v=gGXnILbrhsM
32-Curl and Divergence
() http://tutorial.math.lamar.edu/Classes/CalcIII/CurlDivergence.aspx
() https://www.youtube.com/watch?v=cq3Yf8OGZpo
33-Surface Integrals
() http://tutorial.math.lamar.edu/Classes/CalcIII/SurfaceIntegrals.aspx
() https://www.youtube.com/watch?v=wcQ-M52POg4
() https://www.youtube.com/watch?v=SnUuJ7lRTNw
34-Stokes Theorem
() http://tutorial.math.lamar.edu/Classes/CalcIII/StokesTheorem.aspx
() https://www.youtube.com/watch?v=WpJcuKVsZcI
() https://www.youtube.com/watch?v=E2MRMdaPKcc
35-Divergence theorem
(math.lamar) () http://tutorial.math.lamar.edu/Classes/CalcIII/DivergenceTheorem.aspx
(divergence theorem step by step) () https://www.youtube.com/watch?v=pYLoOQ8WyP4
(3d divergence theorem intuition) (khan academy) () https://www.youtube.com/watch?v=XyiQ2dwJHXE
36-Practice Tests
(wustl exam archive) () https://math.wustl.edu/resources
(umich exam practice) () http://www.math.lsa.umich.edu/courses/215/17exampractice/index.html
(mit exams) () https://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/exams/
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