textbook.tex

\documentclass[10pt,twocolumn,handout,twoside,numbers,wordchoicegiven]{xourse}

\input{preamble}
\newcommand{\labelchapter}[1]{}
\pdfOnly{\usepackage{printStyles/lulu}}

\title{Linear Algebra}
\author{Martin Golubitsky and Michael Dellnitz}

\begin{document}
\maketitle

\pdfOnly{\frontmatter}

\activity{preface.tex}

\pdfOnly{\mainmatter}
\chapterstyle
\activity{preliminaries/preliminaries.tex} %DONE
\labelchapter{chap:prelim}
\sectionstyle
\activity{preliminaries/vectorsAndMatrices.tex} %DONE
\activity{preliminaries/mATLAB.tex}
\activity{preliminaries/specialKindsOfMatrices.tex} % DONE but no CEXPR
\activity{preliminaries/theGeometryOfVectorOperations.tex} % DONE but no CEXPR

\chapterstyle
\activity{solvingLinearEquations/solvingLinearEquations.tex} %DONE
\labelchapter{lineq}
\sectionstyle
\activity{solvingLinearEquations/systemsOfLinearEquationsAndMatrices.tex}% DONE but no 
\activity{solvingLinearEquations/theGeometryOfLowDimensionalSolutions.tex} % DONE
\activity{solvingLinearEquations/gaussianElimination.tex} % DONE but no CEXPR
\activity{solvingLinearEquations/reductionToEchelonForm.tex} % DONE but no CEXPR
\activity{solvingLinearEquations/linearEquationsWithSpecialCoefficients.tex}% DONE but no 
\activity{solvingLinearEquations/uniquenessOfReducedEchelonForm.tex} %DONE!

\chapterstyle
\activity{matricesAndLinearity/matricesAndLinearity.tex} %DONE
\labelchapter{chap:matrices}
\sectionstyle
\activity{matricesAndLinearity/matrixMultiplicationOfVectors.tex} % started...
\activity{matricesAndLinearity/matrixMappings.tex}
\activity{matricesAndLinearity/linearity.tex}
\activity{matricesAndLinearity/thePrincipleOfSuperposition.tex}
\activity{matricesAndLinearity/compositionAndMultiplicationOfMatrices.tex}
\activity{matricesAndLinearity/propertiesOfMatrixMultiplication.tex}
\activity{matricesAndLinearity/solvingLinearSystemsAndInverses.tex}
\activity{matricesAndLinearity/determinantsOfMatrices.tex}

\chapterstyle
\activity{solvingOrdinaryDifferentialEquations/solvingOrdinaryDifferentialEquations.tex}
\labelchapter{chap:SolveOdes}
\sectionstyle
\activity{solvingOrdinaryDifferentialEquations/aSingleDifferentialEquation.tex}
\activity{solvingOrdinaryDifferentialEquations/graphingSolutionsToDifferentialEquations.tex}
\activity{solvingOrdinaryDifferentialEquations/phaseSpacePicturesAndEquilibria.tex}
\activity{solvingOrdinaryDifferentialEquations/separationOfVariables.tex}
\activity{solvingOrdinaryDifferentialEquations/uncoupledLinearSystemsOfTwoEquations.tex}
\activity{solvingOrdinaryDifferentialEquations/coupledLinearSystems.tex}
\activity{solvingOrdinaryDifferentialEquations/theInitialValueProblemAndEigenvectors.tex}
\activity{solvingOrdinaryDifferentialEquations/eigenvaluesOfMatrices.tex}
\activity{solvingOrdinaryDifferentialEquations/initialValueProblemsRevisited.tex}
\activity{solvingOrdinaryDifferentialEquations/markovChains.tex}

\chapterstyle
\activity{vectorSpaces/vectorSpaces.tex}
\labelchapter{C:vectorspaces}
\sectionstyle
\activity{vectorSpaces/vectorSpacesAndSubspaces.tex}
\activity{vectorSpaces/constructionOfSubspaces.tex}
\activity{vectorSpaces/spanningSetsAndMATLAB.tex}
\activity{vectorSpaces/linearDependenceAndLinearIndependence.tex}
\activity{vectorSpaces/dimensionAndBases.tex}
\activity{vectorSpaces/theProofOfTheMainTheorem.tex}

\chapterstyle
\activity{closedFormSolutionsForPlanarODEs/closedFormSolutionsForPlanarODEs.tex}
\labelchapter{Chap:Planar}
\sectionstyle
\activity{closedFormSolutionsForPlanarODEs/theInitialValueProblem.tex}
\activity{closedFormSolutionsForPlanarODEs/closedFormSolutionsByTheDirectMethod.tex}
\activity{closedFormSolutionsForPlanarODEs/similarMatrices.tex}
%\activity{closedFormSolutionsForPlanarODEs/linearNormalFormPlanarSystems.tex}
%\activity{closedFormSolutionsForPlanarODEs/solutionsUsingMatrixExponentials.tex}
\activity{closedFormSolutionsForPlanarODEs/formulasForMatrixExponentials.tex}
\activity{qualitativeTheoryOfPlanarODEs/sinksSaddlesAndSources.tex}
\activity{closedFormSolutionsForPlanarODEs/secondOrderEquations.tex}

\chapterstyle
\activity{qualitativeTheoryOfPlanarODEs/qualitativeTheoryOfPlanarODEs.tex}
\sectionstyle
\activity{qualitativeTheoryOfPlanarODEs/sinksSaddlesAndSources.tex}
\activity{qualitativeTheoryOfPlanarODEs/phasePortraitsOfSinks.tex}
\activity{qualitativeTheoryOfPlanarODEs/phasePortraitsOfNonhyperbolicSystems.tex}

\chapterstyle
\activity{determinantsAndEigenvalues/determinantsAndEigenvalues.tex}
\labelchapter{C:D&E}
\sectionstyle
\activity{determinantsAndEigenvalues/determinants.tex}
\activity{determinantsAndEigenvalues/eigenvalues.tex}
\activity{determinantsAndEigenvalues/existenceOfDeterminants.tex}

\chapterstyle
\activity{linearMapsAndChangesOfCoordinates/linearMapsAndChangesOfCoordinates.tex}
\labelchapter{C:LMCC}
\sectionstyle
\activity{linearMapsAndChangesOfCoordinates/linearMappingsAndBases.tex}
\activity{linearMapsAndChangesOfCoordinates/rowRankEqualsColumnRank.tex}
\activity{linearMapsAndChangesOfCoordinates/vectorsAndMatricesInCoordinates.tex}
\activity{linearMapsAndChangesOfCoordinates/matricesOfLinearMapsOnAVectorSpace.tex}

\chapterstyle
\activity{orthogonality/orthogonality.tex}
\labelchapter{Chap:LinTrans}
\sectionstyle
\activity{orthogonality/orthonormalBases.tex}
\activity{orthogonality/leastSquaresApproximations.tex}
\activity{orthogonality/leastSquaresFittingOfData.tex}
\activity{orthogonality/symmetricMatrices.tex}
\activity{orthogonality/orthogonalMatricesAndQRDecompositions.tex}

\chapterstyle
\activity{autonomousPlanarNonlinearSystems/autonomousPlanarNonlinearSystems.tex}
\sectionstyle
\activity{autonomousPlanarNonlinearSystems/introduction.tex}
\activity{autonomousPlanarNonlinearSystems/equilibriaAndLinearization.tex}
\activity{autonomousPlanarNonlinearSystems/periodicSolutions.tex}
\activity{autonomousPlanarNonlinearSystems/stylizedPhasePortraits.tex}

\chapterstyle
\activity{bifurcationTheory/bifurcationTheory.tex}
\sectionstyle
\activity{bifurcationTheory/twoSpeciesPopulationModels.tex}
\activity{bifurcationTheory/examplesOfBifurcations.tex}
\activity{bifurcationTheory/theContinuousFlowStirredTankReactor.tex}
\activity{bifurcationTheory/theRemainingGlobalBifurcations.tex}
\activity{bifurcationTheory/saddleNodeBifurcationsRevisited.tex}
\activity{bifurcationTheory/hopfBifurcationsRevisited.tex}

\chapterstyle
\activity{matrixNormalForms/matrixNormalForms.tex}
\labelchapter{C:HDeigenvalues}
\sectionstyle
\activity{matrixNormalForms/realDiagonalizableMatrices.tex}
\activity{matrixNormalForms/simpleComplexEigenvalues.tex}
\activity{matrixNormalForms/multiplicityAndGeneralizedEigenvectors.tex}
\activity{matrixNormalForms/theJordanNormalFormTheorem.tex}
\activity{matrixNormalForms/markovMatrixTheory.tex}
\activity{matrixNormalForms/proofOfJordanNormalForm.tex}

\chapterstyle
\activity{higherDimensionalSystems/higherDimensionalSystems.tex}
\labelchapter{C:HDS}
\sectionstyle
\activity{higherDimensionalSystems/linearSystemsInJordanNormalForm.tex}
\activity{higherDimensionalSystems/qualitativeTheoryNearEquilibria.tex}
\activity{higherDimensionalSystems/MATLABODE.tex}
\activity{higherDimensionalSystems/higherDimensionalSystemsUsingOde45.tex}
\activity{higherDimensionalSystems/quasiperiodicMotionsAndTori.tex}
\activity{higherDimensionalSystems/chaosAndTheLorenzEquation.tex}

\chapterstyle
\activity{linearDifferentialEquations/linearDifferentialEquations.tex}
\labelchapter{C:LDE}
\sectionstyle
\activity{linearDifferentialEquations/solvingSystemsInOriginalCoordinates.tex}
\activity{linearDifferentialEquations/higherOrderEquations.tex}
\activity{linearDifferentialEquations/linearDifferentialOperators.tex}
\activity{linearDifferentialEquations/undeterminedCoefficients.tex}
\activity{linearDifferentialEquations/periodicForcingAndResonance.tex}

\chapterstyle
\activity{laplaceTransforms/laplaceTransforms.tex}
\labelchapter{C:LT}
\sectionstyle
\activity{laplaceTransforms/theMethodOfLaplaceTransforms.tex}
\activity{laplaceTransforms/laplaceTransformsAndTheirComputation.tex}
\activity{laplaceTransforms/partialFractions.tex}
\activity{laplaceTransforms/discontinuousForcing.tex}
\activity{laplaceTransforms/rLCCircuits.tex}

\chapterstyle
\activity{additionalTechniquesForSolvingODEs/additionalTechniquesForSolvingODEs.tex}
\labelchapter{chap:SingleOdes}
\sectionstyle
\activity{additionalTechniquesForSolvingODEs/nonconstantCoefficientLinearEquations.tex}
\activity{additionalTechniquesForSolvingODEs/variationOfParametersForSystems.tex}
\activity{additionalTechniquesForSolvingODEs/theWronskian.tex}
\activity{additionalTechniquesForSolvingODEs/higherOrderEquations.tex}
\activity{additionalTechniquesForSolvingODEs/simplificationBySubstitution.tex}
\activity{additionalTechniquesForSolvingODEs/exactDifferentialEquations.tex}
\activity{additionalTechniquesForSolvingODEs/hamiltonianSystems.tex}

\chapterstyle
\activity{numericalSolutionsOfODEs/numericalSolutionsOfODEs.tex}
\labelchapter{ch:NumSolODE}
\sectionstyle
\activity{numericalSolutionsOfODEs/aDescriptionOfNumericalMethods.tex}
\activity{numericalSolutionsOfODEs/errorBoundsForEulersMethod.tex}
\activity{numericalSolutionsOfODEs/localAndGlobalErrorBounds.tex}
\activity{numericalSolutionsOfODEs/appendixVariableStepMethods.tex}

\pdfOnly{\chapterstyle\onecolumn\activity{./commands.tex}}

\pdfOnly{\printindex}

\end{document}


%%% Local Variables:
%%% mode: latex
%%% TeX-master: t
%%% End: