MA 2010 ENGINEERING MATHEMATICS III
Teaching Scheme 

Examination Scheme 


Lectures : 3 hrs/week 

MidSem – 30, Assignments, Quiz 20 




EndSem Exam 50. 


Unit 1 

(10) 


Linear Differential Equations & their applications : General Linear differential equations of order n, solution of linear differential equations with constant coefficients, method of variation of parameters, equations reducible to linear form (with constant coefficients), Cauchy’s & Legendre’s linear equations, simultaneous differential equations, application to electrical circuits 

Unit 2 

(08) 


Partial Differential Equations & their Applications : Formation of partial differential equation, solution of partial differential equation of first order of the type f(x,y,z,p,q) = 0 (Introduction), one dimensional & two dimensional wave equations, problems related to radio telephone & telegraphic equation, Laplace’s equation in two dimensions with boundary conditions. 

Unit 3 

(12) 

Vector Calculus : Differentiation of vectors, gradient of a scalar point function, divergence & curl of a vector point function, vector identities, irrotational & solenoidal vectors, line integral, Green’s Lemma, Surface integral, Stoke’s theorem, Volume integral, Gauss Divergence theorem, applications to electromagnetic fields. 

Unit 4 

(08) 

Laplace Transform : Definition, properties & theorems, Laplace transform of standard functions, unit step function, unit impulse function, inverse Laplace transform, application to solutions of linear differential equations(electric circuit problems) 

Unit 5 

(07) 

Fourier Transform : Definition, fourier transform, fourier sine & cosine integrals, inverse fourier transform, applications of Fourier transform in sampling signals, discrete Fourier transform & it’s properties. 

Unit 6 

(07) 

ZTransform : Definition, properties of ztransform, ztransform of standard sequences, inverse ztransform, relationship of ztransform with fourier transform, applications of ztransform to solutions of difference equations. 

Text Books · A Text Book of Applied Mathematics (Volume III ), by P.N.Wartikar & J.N.Wartikar , Pune Vidyarthi Griha Prakashan, Pune. · Higher Engineering Mathematics, by B.S.Grewal, Khanna Publication, New Delhi.
Reference Books · Advanced Engineering Mathematics (7th Ed.) by Erwin Kreyszig, Wiley Eastern Ltd., Bombay.· Advanced Engineering Mathematics by C. R. Wylie, McGraw Hill Publications, New Delhi. · Advanced Engineering Mathematics ( 5th edition) by Peter V.O’Neil, Thomson Brook/cole, Singapore. 
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