Vector Calculus

# Vector Calculus - ME 210 Applied Mathematics for Mechanical...

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ME – 210 Applied Mathematics for Mechanical Engineers Prof. Dr. Faruk Arınç Spring 2010 Convergence : An infinite sequence of vectors , n = 1, 2,…, is said to converge to a limit vector if, Vector Calculus The basic concepts of calculus such as convergence , continuity , and differentiability can be introduced to vector analysis. n v o v 0 v v lim o n n then we write o n n v v

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ME – 210 Applied Mathematics for Mechanical Engineers Prof. Dr. Faruk Arınç Spring 2010 Continuity: A vector function is said to be continuous at t = t 0 , if it has a limit at t = t 0 and if this limit is equal to Similarly, a vector function of a real variable t is said to have the limit as t approaches t 0 , if is defined in some neighborhood (that is, in some interval on the t-axis containing t 0 as an interior point) of t 0 (possibly except at t 0 ) and if ) t ( v o v ) t ( v 0 v ) t ( v lim o t t o then we write o t t v ) t ( v o ) t ( v ) t ( v o .
ME – 210 Applied Mathematics for Mechanical Engineers Prof. Dr. Faruk Arınç Spring 2010 exits. Then the vector [ or if t is time] is called the derivative of

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## This note was uploaded on 07/31/2011 for the course ME 210 taught by Professor Farukarinç during the Spring '09 term at Middle East Technical University.

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Vector Calculus - ME 210 Applied Mathematics for Mechanical...

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