Regulations - 2017(MA8251)
Singaravelu is the author of ENGINEERING MATHEMATICS I (3.84 avg rating, 32 ratings, 3 reviews, published 2005). Mathematics lays the basic foundation for engineering students to pursue their core subjects. In Engineering Mathematics-III, the topics have been dealt with in a style that is lucid and easy to understand, supported by illustrations that enable the student to assimilate the concepts effortlessly. Each chapter is replete with exercises to help the student gain a deep insight into the subject. Read PDF Engineering Mathematics 2 Dr A Singaravelu Engineering Mathematics 2 Dr A Singaravelu Thank you unquestionably much for downloading engineering mathematics 2 dr a singaravelu.Most likely you have knowledge that, people have look numerous period for their favorite books subsequently this engineering mathematics 2 dr a singaravelu, but.
Eigenvalues and Eigenvectors of a real matrix – Characteristic equation – Properties of eigenvalues and eigenvectors – Statement and applications of Cayley – Hamilton Theorem – Diagonalization of matrices – Reduction of a quadratic form to canonical form by orthogonal transformation – Nature of quadratic forms.
Chapter 2 : VECTOR CALCULUS
Gradient and directional derivative – Divergence and Curl – Vector Identities – Irrotational and solenoidal vector fields – Line integral over a plane curve – Surface integral – Area of a curved surface – Volume integral – Green’s theorem in a plane, Gauss divergence theorem and Stokes’ theorem (excluding proofs) – Verification and application in evaluating line, surface and volume integrals.
Analytic functions – Necessary and sufficient conditions for analyticity in Cartesian and polar coordinates – Properties – Harmonic conjugate – Construction of analytic functions – Conformal mapping : w = z + c, cz, 1/z, z2 and bilinear transformation.
Chapter 4 : COMPLEX INTEGRATION
![Engineering Engineering](/uploads/1/1/9/8/119845747/591881313.jpg)
Line integral – Cauchy’s integral theorem and Cauchy’s integral formula – Taylor and Laurent’s series expansions – Singular points – Residues – Cauchy’s Residue theorem – Application of Residue theorem for Evaluation of real integrals – Use of circular contour and semicircular contour.
Existence conditions – Transform of elementary functions – Transform of unit step function and unit impulse function – Basic properties – Shifting theorems – Transform of derivatives and integrals – Initial and final value thorems - Inverse Laplace transform – Statement of Convolution theorem – Transforms of periodic functions – Application to solution of linear ODE of second order with constant coefficients.
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Engineering Mathematics By Singaravelu Pdf
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