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

**Advanced Mathematics for Engineers**

(1) Determine and sketch the image of z —31=5 under iv = z+i

(2) Represent w = as a composite of mappings.

(3) Write a note on Schwarz’s Christoffel’s transformation.

(4) Prove that the shortest distance between two points in a plane is a straight

line. C-i 2

(5) Find the extrernals of the functional j (1 6y — y + x. )dx. -‘0

(6) Using Galerkin’s method, solve the boundary value problem = 3x + 43’; v(O) = 0, ‘(l)

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PTU M.Tech Civil Engineering Paper 2012 Advanced Mathematics for Engineers