Maths etiketine sahip kayıtlar gösteriliyor. Tüm kayıtları göster
Maths etiketine sahip kayıtlar gösteriliyor. Tüm kayıtları göster
31 Mayıs 2020 Pazar
26 Şubat 2020 Çarşamba
17 Haziran 2019 Pazartesi
Calculus Resources
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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