Download Now [PDF] MA8251 ENGINEERING MATHEMATICS – II Lecture Notes, Books, Important 2 Marks Question and Answers, 16 Mark Question with Answers, Syllabus & Question Bank

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MA8251 ENGINEERING MATHEMATICS – II Lecture Notes Download

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ENGINEERING MATHEMATICS – II Lecture Notes Download

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MA8251 ENGINEERING MATHEMATICS – II Lecture Notes Download MA8251 ENGINEERING MATHEMATICS – II Lecture Notes Download
Department  Electronics Communication Engineering
Year 1st Year
Semester 2nd Semester
University Anna University
Regulation  R2017
Subject Code MA8251
Subject Name ENGINEERING MATHEMATICS – II
Download File MA8251 ENGINEERING MATHEMATICS – II Lecture Notes, Books, Important 2 Marks Question and Answers, 16 Mark Question with Answers, Syllabus & Question Bank

 

 

MA8251 ENGINEERING MATHEMATICS – II Syllabus

UNIT I MATRICES
Eigenvalues and Eigenvectors of a real matrix – Characteristic equation – Properties of Eigenvalues and Eigenvectors – Cayley-Hamilton theorem – Diagonalization of matrices – Reduction of a quadratic form to canonical form by orthogonal transformation – Nature of quadratic forms.

UNIT II 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, Gauss divergence and Stoke‘s theorems – Verification and application in evaluating line, surface and volume integrals.

UNIT III ANALYTIC FUNCTIONS
Analytic functions – Necessary and sufficient conditions for analyticity in Cartesian and polar coordinates – Properties – Harmonic conjugates – Construction of analytic function – Conformal mapping – Mapping by functions 2 1 z z czczw , ,, – Bilinear transformation.

UNIT IV COMPLEX INTEGRATION
Line integral – Cauchy‘s integral theorem – Cauchy‘s integral formula – Taylor‘s and Laurent‘s series – Singularities – Residues – Residue theorem – Application of residue theorem for evaluation of real integrals – Use of circular contour and semicircular contour.

UNIT V LAPLACE TRANSFORMS
Existence conditions – Transforms of elementary functions – Transform of unit step function and unit impulse function – Basic properties – Shifting theorems -Transforms of derivatives and integrals – Initial and final value theorems – Inverse transforms – Convolution theorem – Transform of periodic functions – Application to solution of linear second order ordinary differential equations with constant coefficients.

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ENGINEERING MATHEMATICS – II Lecture Notes Download

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MA8251 ENGINEERING MATHEMATICS – II Lecture Notes Collection

MA8251 ENGINEERING MATHEMATICS – II Notes ( UNIT 1 – UNIT 5) – Download

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MA8251 ENGINEERING MATHEMATICS – II 2 Mark Question With Answers

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MA8251 ENGINEERING MATHEMATICS – II 16 Mark Question With Answers

MA8251 ENGINEERING MATHEMATICS – II 16 Mark Question With Answers  – Download

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