├── .gitignore ├── 01-Curves-Coordinates-Differentials ├── Curves-Coordinates-Differentials-Preparation.tex ├── Curves-Coordinates-Differentials-Problems.tex ├── Curves-Coordinates-Differentials-objectives.tex ├── Curves-Coordinates-Differentials.tex ├── cardioid.pdf ├── lemniscate.pdf ├── limacon.pdf └── rose.pdf ├── 02-Vectors ├── Vectors-Instructor.tex ├── Vectors-Objectives.tex ├── Vectors-Preparation.tex ├── Vectors-Problems.tex ├── Vectors.tex └── Worksheet.tex ├── 03-Functions ├── Functions-Content.tex ├── Functions-Objectives.tex ├── Functions-Preparation.tex └── Functions-Problems.tex ├── 04-Derivatives ├── Derivatives-Content.tex ├── Derivatives-Objectives.tex ├── Derivatives-Preparation.tex ├── Derivatives-Problems.tex └── support │ ├── derivatives.mw │ ├── limit-1.jpg │ ├── limit-2.jpg │ ├── limit-3.jpg │ ├── tan-1.jpg │ ├── tan-2.jpg │ └── tan-3.jpg ├── 05-Motion ├── Motion-Content.tex ├── Motion-Objectives.tex ├── Motion-Preparation.tex └── Motion-Problems.tex ├── 06-LineIntegrals ├── LineIntegrals-Content.tex ├── LineIntegrals-Objectives.tex ├── LineIntegrals-Preparation.tex ├── LineIntegrals-Problems.tex └── support │ ├── sheet-1.jpg │ └── sheet-2.jpg ├── 07-GradientFields ├── GradientFields-Content.tex ├── GradientFields-Objectives.tex ├── GradientFields-Preparation.tex ├── GradientFields-Problems.tex └── support │ ├── flux-1.jpg │ ├── flux-2.jpg │ ├── flux-3.jpg │ ├── work-1.jpg │ ├── work-2.jpg │ └── work-3.jpg ├── 08-Optimization ├── Optimization-Content.tex ├── Optimization-Objectives.tex ├── Optimization-Preparation.tex ├── Optimization-Problems.tex └── support │ ├── dirder.jpg │ ├── levelcurve-1.jpg │ ├── levelcurve-2.jpg │ ├── levelcurve-3.jpg │ ├── levelcurve-4.jpg │ └── levelsurface.jpg ├── 09-DoubleIntegrals ├── DoubleIntegrals-Content.tex ├── DoubleIntegrals-Objectives.tex ├── DoubleIntegrals-Preparation.tex ├── DoubleIntegrals-Problems.tex └── support │ ├── double-1.jpg │ ├── double-2.jpg │ ├── general-1.jpg │ └── polar-1.jpg ├── 10-SurfaceTripleIntegrals ├── SurfaceTripleIntegrals-Content.tex ├── SurfaceTripleIntegrals-Objectives.tex ├── SurfaceTripleIntegrals-Preparation.tex ├── SurfaceTripleIntegrals-Problems.tex └── support │ ├── cylindrical-1.jpg │ ├── cylindrical-2.jpg │ ├── spherical-1.jpg │ ├── triple-1.jpg │ └── triple-2.jpg ├── Chapter-Template ├── Content.tex ├── Objectives.tex ├── Preparation.tex └── Problems.tex ├── README ├── by-sa.pdf ├── figures └── README ├── functions ├── cylinder-1.jpg ├── cylinder-2.jpg ├── cylinder-3.jpg ├── cylinder-4.jpg ├── field-1.jpg ├── field-2.jpg ├── field-3.jpg ├── field-4.jpg ├── functionseveral-1.jpg ├── functionseveral-2.jpg ├── functionseveral-3.jpg ├── functionseveral-4.jpg ├── parasurface-1.jpg ├── parasurface-2.jpg ├── parasurface-3.jpg ├── parasurface-4.jpg ├── quadric-1.jpg ├── quadric-2.jpg ├── quadric-3.jpg ├── quadric-4.jpg ├── quadric-5.jpg ├── quadric-6.jpg ├── quadric-7.jpg ├── quadric-8.jpg └── spacecurve-1.jpg ├── geometry.sty ├── make-new-chapter.py ├── multivariable-calculus.sout ├── multivariable-calculus.tex ├── sage-plots-for-multivariable-calculus.tex ├── plot-0.eps ├── plot-0.pdf ├── plot-1.eps ├── plot-1.pdf ├── plot-2.png └── plot-3.png └── sagetex.sty /.gitignore: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jasongrout/multivariable-calculus/HEAD/.gitignore -------------------------------------------------------------------------------- /01-Curves-Coordinates-Differentials/Curves-Coordinates-Differentials-Preparation.tex: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/jasongrout/multivariable-calculus/HEAD/01-Curves-Coordinates-Differentials/Curves-Coordinates-Differentials-Preparation.tex -------------------------------------------------------------------------------- /01-Curves-Coordinates-Differentials/Curves-Coordinates-Differentials-Problems.tex: 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