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Spelling fixes in digInVectorFields.tex
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aReviewOfConvergenceTests added calc 2 May 31, 2017
aReviewOfIntegration created part 3 of the textbook as well as split solids of revolution … Aug 28, 2018
absoluteAndConditionalConvergence added absoluteAndConditionalConverge sections Oct 8, 2018
accumulatedCrossSections fixed various typos and added part 4 of text Sep 5, 2018
accumulatedShells calculus E mergeed May 31, 2017
alternatingSeries I added an exercise compilation for all of Calc 2. That required chan… Aug 20, 2018
alternatingSeriesUpdate Add recitation handouts and update Alternating series section Jul 17, 2018
anApplicationOfLimits Worked on Examples. Sep 8, 2018
antiderivatives all of these Aug 21, 2018
antiderivativesAndArea details Nov 13, 2018
applicationsOfIntegrals all of these Aug 21, 2018
applicationsOfIntegration fixed some typosMerge branch 'master' of https://github.com/mooculus/… Sep 12, 2018
appliedOptimization edited a picture in AO Jul 27, 2018
appliedRelatedRates erased an angle from the picture Oct 17, 2018
approximatingFunctionsWithPolynomials fixed a few typos Oct 23, 2018
approximatingTheAreaUnderACurve all of these Aug 21, 2018
areasBetweenCurves cut the dotPorducts section into 3 pieces and expanded on material in… Oct 30, 2018
asymptotesAsLimits all of these Aug 21, 2018
basicPhilosophy lost and found preamble Aug 2, 2017
calculusAndTaylorSeries Update limit1.tex Nov 7, 2018
calculusAndVectorValuedFunctions commented in earthE and modified exercise list from Sohail's comments… Nov 13, 2018
calculusUnleashed moved stuff Jan 7, 2016
chainRule added hints and more questions to a problem Sep 18, 2018
commonCoordinates fixed z -> phi as pointed out by nameEqualsJared Nov 8, 2018
comparisonTests I added an exercise compilation for all of Calc 2. That required chan… Aug 20, 2018
computationsAndInterpretations Update typo Nov 3, 2018
computationsForGraphingFunctions corrected Oct 12, 2018
conceptsOfGraphingFunctions all of these Aug 21, 2018
constrainedOptimization no more interior Oct 9, 2018
continuity fixed confusing section pointed out by 4lefac Sep 15, 2018
continuityOfFunctionsOfSeveralVariables here Jul 25, 2018
conventions here we go Aug 16, 2017
coverArt here Aug 17, 2018
crossProducts fixed some typos Nov 7, 2018
definiteIntegral parentheses Nov 7, 2018
definitionOfTheDerivative tol Sep 14, 2018
derivativeAsAFunction fixed typo Sep 15, 2018
derivativesOfInverseFunctions details Oct 1, 2018
derivativesOfPolarFunctions Update tangentLinesToPolarCurves1.tex Nov 7, 2018
differentialEquations I added an exercise compilation for all of Calc 2. That required chan… Aug 20, 2018
directionalDerivativeAndChainRule Merge pull request #212 from nameEqualsJared/patch-3 Oct 13, 2018
dotProducts fixed another typo Nov 2, 2018
drawingGraphsInTikZ graphs Jul 10, 2018
exams Grammar fixes Nov 8, 2018
exercises exerciselist updated Nov 2, 2018
exponentialModels added calc 2 May 31, 2017
firstFundamentalTheoremOfCalculus Details. Nov 15, 2018
functionsOfSeveralVariables Merge pull request #193 from brickmill/master Sep 18, 2018
greensTheorem here Nov 15, 2018
higherOrderDerivativesAndGraphs changed learning outcomes Sep 24, 2018
implicitDifferentiation added two pictures, text, another example Sep 25, 2018
improperIntegrals editted the sumsOfSequences section Sep 26, 2018
indeterminateForms phrase changed Sep 1, 2018
integralAndDivergenceTest fixed various typos Oct 8, 2018
integralsOfPolarFunctions fixed some typos Nov 7, 2018
integrationByParts fixed a few typos in the text Sep 17, 2018
interpretingTheGradient fixed something Oct 27, 2018
introduction moved stuff Jan 7, 2016
introductionToDifferentialEquations there we go! Jun 5, 2017
introductionToPolarCoordinates fixed various typos in the exercises Oct 29, 2018
introductionToTaylorSeries Fix taylor factorial Oct 22, 2018
lagrangeMultipliers here Oct 8, 2018
lengthOfCurves fixed some typosMerge branch 'master' of https://github.com/mooculus/… Sep 12, 2018
lhopitalsRule Added parentheses Oct 31, 2018
limitLaws closed issue Sep 4, 2018
limitsOfSequences fixed various typos Oct 4, 2018
lineIntegrals trivial change Nov 15, 2018
linearApproximation all of these Aug 21, 2018
linesAndCurvesInSpace commented in earthE and modified exercise list from Sohail's comments… Nov 13, 2018
logarithmicDifferentiation detail Oct 1, 2018
logos fixed logo Jan 10, 2018
maximumsAndMinimums Consistent colons Nov 9, 2018
maximumsAndMinimumsOfFunctionsOfSeveralVariables changes Sep 28, 2018
meanValueTheorem typos, clarifications etc Oct 18, 2018
moreThanOneRate typo Oct 21, 2018
motionAndPathsInSpace Merge branch 'master' of https://github.com/mooculus/calculus Nov 13, 2018
multipleIntegrals fixed box pointed out by nameEqualsJared Nov 6, 2018
normalVectors here Sep 18, 2018
numbersAndTaylorSeries calculus E mergeed May 31, 2017
numericalMethods fixed some typos Nov 7, 2018
optimization Details for Optimization problems Oct 26, 2018
outcomesList moved stuff Jan 7, 2016
parametricEquations Merge branch 'master' of https://github.com/mooculus/calculus Nov 7, 2018
partialDerivativesAndTheGradientVector para Oct 15, 2018
partialFractions editted an exercise Sep 26, 2018
powerSeries fixed a few typos Oct 24, 2018
preCalcReview Started work on precalc review Apr 20, 2018
preciseDefinitionOfALimit moved stuff Jan 7, 2016
printStyles this may be ready Aug 15, 2018
productAndQuotientRules Details-EX P&Q rule Sep 18, 2018
projects/calculus3/projectBuckeyeVR added this Mar 3, 2018
quadricSurfaces here Oct 1, 2018
ratioAndRootTest fixed some typos Oct 9, 2018
recitation here Oct 2, 2018
review added some exercises and fixed a few things in reviewOfIntegrationTec… Nov 7, 2018
reviewOfFamousFunctions here Nov 14, 2018
rulesOfDifferentiation typo Sep 19, 2018
samplePractice fixed sample practice 2 Sep 6, 2016
secondFundamentalTheoremOfCalculus all of these Aug 21, 2018
separableDifferentialEquations fixed some typos Nov 7, 2018
sequences editted some improperIntegrals section a little, editted sequences an… Sep 24, 2018
seriesPuttingItAllTogether Fixed typo Oct 16, 2018
shapeOfThingsToCome clarified grad curl div Nov 15, 2018
solidsOfRevolution fixed various typos Sep 6, 2018
structure Path is correct with top level xourse Aug 14, 2017
substitution all of these Aug 21, 2018
sumsOfSequences fixed various typos Oct 8, 2018
surfaceArea I added an exercise compilation for all of Calc 2. That required chan… Aug 20, 2018
tangentPlanesAndDifferentiability Merge branch 'realmaster' Oct 18, 2018
taylorPolynomialsOfSeveralVariables done Sep 18, 2018
trigonometricIntegrals added some eercises and fixed a few typos Sep 12, 2018
trigonometricSubstitution added a few exercises to the review folder and fixed a few typos in j… Sep 17, 2018
tutorExercises fxied Aug 29, 2018
understandingFunctions fixed typo pointed out by erniefontes Aug 28, 2018
vectorFields Spelling fixes Nov 15, 2018
vectors added some exercises and updated a few exercise lists Oct 22, 2018
whatIsALimit all of these Aug 21, 2018
workingInTwoAndThreeDimensions fixed a few typos, added part9 of textbooks, added a workingInTwoAndT… Oct 19, 2018
workingWithSubstitution cleand a few thing Aug 15, 2018
writingExercises here we go Aug 16, 2017
ximeraTutorial here you go May 10, 2018
.gitignore more extensions in .gitignore May 8, 2018
README.md compile instructions Jul 9, 2018
authorGuide.tex added stuff Dec 8, 2017
calculus1.tex working on this Jul 25, 2018
calculus2.tex fixed some typos Oct 9, 2018
calculus2Part1.tex editted an exercise Sep 26, 2018
calculus2Part10.tex cut the dotPorducts section into 3 pieces and expanded on material in… Oct 30, 2018
calculus2Part2.tex editted an exercise Sep 26, 2018
calculus2Part3.tex editted an exercise Sep 26, 2018
calculus2Part4.tex editted an exercise Sep 26, 2018
calculus2Part5.tex editted an exercise Sep 26, 2018
calculus2Part6.tex editted an exercise Sep 26, 2018
calculus2Part7.tex fixed a typo in the textbook part 7 file Oct 2, 2018
calculus2Part8.tex textbook part 8 Oct 4, 2018
calculus2Part9.tex fixed a few typos, added part9 of textbooks, added a workingInTwoAndT… Oct 19, 2018
calculus3.tex I'm pushing and deploying the final chapter Nov 13, 2018
calculusA2.tex fixed A2 Aug 14, 2018
calculusE.tex fixed some typos Oct 9, 2018
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calculusEPart10.tex fixed a few typos Oct 30, 2018
calculusEPart11.tex added textbook part 11 for calculusE Nov 10, 2018
calculusEPart2.tex editted an exercise Sep 26, 2018
calculusEPart3.tex editted an exercise Sep 26, 2018
calculusEPart4.tex editted an exercise Sep 26, 2018
calculusEPart5.tex added part 5 of textbook Sep 14, 2018
calculusEPart6.tex editted some improperIntegrals section a little, editted sequences an… Sep 24, 2018
calculusEPart7.tex fixed a typo Oct 1, 2018
calculusEPart8.tex textbook part 8 Oct 4, 2018
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fixingGitCommitLog.md added how to fix the commit log back Jan 16, 2018
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license.md added license back in after Talamo deleted it. Jan 16, 2018
preamble.tex line integrals Nov 10, 2018
sage-preamble.tex trivial change Mar 17, 2018

README.md

Compiling the textbooks using Xake (and LaTeX)

Compiling these documents is a bit tricky.

First install SAGE: http://www.sagemath.org/ This should install SageTeX.

Now if you are planning to use Xake to compile this repository, you first need to compile:

frontCover.tex spine.tex backCover.tex

for every subdirectory of coverArt, for example:

pdflatex coverArt/calculus1Cover/frontCover.tex
pdflatex coverArt/calculus1Cover/spine.tex
pdflatex coverArt/calculus1Cover/backCover.tex

After this, you should be able to compile the .tex files and PDFlatex.

This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike License. To view a copy of this license, visit

http://creativecommons.org/licenses/by-nc-sa/4.0/

or send a letter to Creative Commons, 543 Howard Street, 5th Floor, San Francisco, California, 94105, USA. If you distribute this work or a derivative, include the history of the document.

The source code is available at

https://github.com/mooculus/calculus

This text contains source material from several other open-source texts:

  • Single and Multivariable Calculus: Early Transcendentals. Guichard. Copyright 2015 Guichard, Creative Commons Attribution-NonCommercial-ShareAlike License 3.0.

    http://communitycalculus.org/

  • APEX Calculus. Hartman, Heinold, Siemers, Chalishajar, Bowen (Ed.). Copyright 2014 Hartman, Creative Commons Attribution-Noncommercial 3.0.

    http://www.apexcalculus.com/

  • Elementary Calculus: An Infinitesimal Approach. Keisler. Copyright 2015 Keisler, Creative Commons Attribution-NonCommercial-ShareAlike License 3.0.

    http://www.math.wisc.edu/~keisler/calc.html

We will be glad to receive corrections and suggestions for improvement at ximera@math.osu.edu