PTU M.Tech Paper 2012 Advanced Mathematics for Engineers

PTU M.Tech Paper 2012 Advanced Mathematics for Engineers Punjab Technical University Exam 2012 Advanced Mathematics for Engineers Test September and March Question Paper Free Download Punjab Technical University Advanced Mathematics for Engineers Question Papers 2012 PTU M.Tech Question Paper 2012 for all students Previous Year old Past Papers of PTU M.Tech Paper 2012 Advanced Mathematics for Engineers Punjab Technical University September 2012 and March 2012 Exam M.Tech Sample Model Question Papers Free Download PDF

Advanced Mathematics for Engineers

  1.  By the transformation w = z2, show that the circle Iz —af = c (a and c are real) in the zplane correspond to the limacons in the w-plane.
  2. Prove that the shortest distance between any two points in a plane is a straight line.
  3. Use Galerkin’s method to solve the BVPy”— y + x = 0, y(O) = y(l) = 0. Compare the approximate and the exact solution. 

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