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

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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 .
Background image of page 2
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
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 8

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

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online