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Second Order Partial Derivatives - Engineering Mathematics - Past Paper

Exams, Engineering Mathematics

Post: March 23th, 2013
Description
Main points of this exam paper are: Second Order Partial Derivatives, Taylor Series Expansion, Cartesian Coordinates, Arbitrary Function, Maximum Values, Inverse Laplace Transform, Laplace Transformations, Differential Equations
Main points of this exam paper are: Second Order Partial Derivatives, Taylor Series Expansion, Cartesian Coordinates, Arbitrary Function, Maximum Values, Inverse Laplace Transform, Laplace Transformations, Differential Equations
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Contents
CORK INSTITUTE OF TECHNOLOGY INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ Semester 2 Examinations 2009/10 Module Title: Module Code: MATH7006 Engineering Mathematics 211 School: Building & Civil Engineering Programme Title: Bachelor of Engineering (Honours) in Civil Engineering-Stage 2 Programme Code: CSTRU-8-Y2 External Examiner(s): Internal Examiner(s): Dr.P.Robinson Mr. T. O Leary Instructions: Select any four questions. The questions carry equal marks. Duration: Sitting: 2 Hours Autumn 2010 Requirements for this examination: Note to Candidates: Please check the Programme Title and the Module Title to ensure that you have received the correct examination paper. If in doubt please contact an Invigilator. 1. (a) (i) Find a Taylor series expansion of the function V=f(x,y)=ln(x2-4y) about the values x=3, y=2. The series is to contain terms deduced from the first and the second order partial derivatives of f(x,y). (ii) Bt using differentials (partial derivatives) estimate the..

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