Lecture 13 Review of Vector Calculus - UC San Diego...

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BENG 221: Mathematical Methods in Bioengineering Lecture 13 Review of Vector Calculus References H.M. Schey, Div grad curl and all that: an informal text on vector calculus, 4 th ed., New York: W.W. Norton, 2005. http://en.wikipedia.org/wiki/Gradient http://en.wikipedia.org/wiki/Gradient_theorem http://en.wikipedia.org/wiki/Divergence http://en.wikipedia.org/wiki/Divergence_theorem http://en.wikipedia.org/wiki/Curl_(mathematics) http://en.wikipedia.org/wiki/Stokes%27_theorem http://en.wikipedia.org/wiki/Spherical_coordinates http://mathworld.wolfram.com/SphericalCoordinates.html

Transcript of Lecture 13 Review of Vector Calculus - UC San Diego...

Page 1: Lecture 13 Review of Vector Calculus - UC San Diego ...isn.ucsd.edu/courses/beng221/lectures/beng221-lecture13-notes.pdf · cha.uÉ mass — 5cv) oviwaßd flow bou ( y) a air") q

BENG 221: Mathematical Methods in Bioengineering Lecture 13 Review of Vector Calculus References H.M. Schey, Div grad curl and all that: an informal text on vector calculus, 4th ed., New York: W.W. Norton, 2005. http://en.wikipedia.org/wiki/Gradient http://en.wikipedia.org/wiki/Gradient_theorem http://en.wikipedia.org/wiki/Divergence http://en.wikipedia.org/wiki/Divergence_theorem http://en.wikipedia.org/wiki/Curl_(mathematics) http://en.wikipedia.org/wiki/Stokes%27_theorem http://en.wikipedia.org/wiki/Spherical_coordinates http://mathworld.wolfram.com/SphericalCoordinates.html

Page 2: Lecture 13 Review of Vector Calculus - UC San Diego ...isn.ucsd.edu/courses/beng221/lectures/beng221-lecture13-notes.pdf · cha.uÉ mass — 5cv) oviwaßd flow bou ( y) a air") q
Page 3: Lecture 13 Review of Vector Calculus - UC San Diego ...isn.ucsd.edu/courses/beng221/lectures/beng221-lecture13-notes.pdf · cha.uÉ mass — 5cv) oviwaßd flow bou ( y) a air") q
Page 4: Lecture 13 Review of Vector Calculus - UC San Diego ...isn.ucsd.edu/courses/beng221/lectures/beng221-lecture13-notes.pdf · cha.uÉ mass — 5cv) oviwaßd flow bou ( y) a air") q
Page 5: Lecture 13 Review of Vector Calculus - UC San Diego ...isn.ucsd.edu/courses/beng221/lectures/beng221-lecture13-notes.pdf · cha.uÉ mass — 5cv) oviwaßd flow bou ( y) a air") q
Page 6: Lecture 13 Review of Vector Calculus - UC San Diego ...isn.ucsd.edu/courses/beng221/lectures/beng221-lecture13-notes.pdf · cha.uÉ mass — 5cv) oviwaßd flow bou ( y) a air") q
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