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Vector Calculus

1. z 0. -10. -5. -10 0 x -5. 0 5. y 5 10. 10. Vector Calculus Michael Corral Vector Calculus Michael Corral Schoolcraft College About the author: Michael Corral is an Adjunct Faculty member of the Department of Mathematics at Schoolcraft College. He received a in Mathematics from the University of California at Berkeley, and received an in Mathematics and an in Industrial & Operations Engineering from the University of Michigan. This text was typeset in LATEX 2 with the KOMA-Script bundle, using the GNU Emacs text editor on a Fedora Linux system.

example, for motion along a straight line, if y=f(t) gives the displacement of an object after time t, then dy/dt=f ′(t) is the velocity of the object at time t. The derivative f ′(t) is just a number, which is positive if the object is moving in an agreed-upon “positive” direction, and negative if it moves in the opposite of that ...

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1 Vectors in Euclidean Space 1.1 Introduction In single-variable calculus, the functions that one encounters are functions of a variable (usually x or t) that varies over some subset of the real number line (which we denote by R).

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