# MA6152 Mathematics – II Books, Question bank, Lecture Notes, Syllabus, 2 marks with answers Part A Question Bank with answers Key, Important Part B Questions & MA6152 Mathematics – II ANNA UNIVERSITY Question Papers Collection

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### MA6152 Mathematics – II Semester : 02
Department : Civil
Year : 1st Year (I Year)
Regulation : 2013
Subject Code / Name : MA6152 Mathematics – II
Content : Question Banks, Books, Lecture Notes, Important Part A 2 Marks Questions and Important Part B 16 Mark Questions
MA6251  MATHEMATICS – II

UNIT I        VECTOR CALCULUS
Gradient, divergence and curl – Directional derivative – Irrotational and solenoidal vector fields – Vector integration – Green‟s theorem in a plane, Gauss divergence theorem and Stokes‟ theorem (excluding proofs) – Simple applications involving cubes and rectangular parallelopipeds.
UNIT II     ORDINARY DIFFERENTIAL EQUATIONS
Higher order linear differential equations with constant coefficients – Method of variation of parameters – Cauchy‟s  and  Legendre‟s  linear  equations  – Simultaneous first order linear equations with constant coefficients.
UNIT III       LAPLACE TRANSFORM
Laplace transform – Sufficient condition for existence – Transform of elementary functions – Basic properties – Transforms of derivatives and integrals of functions – Derivatives and integrals of transforms – Transforms of unit step function and impulse functions – Transform of periodic functions. Inverse Laplace transform -Statement of Convolution theorem  – Initial and final value theorems – Solution of linear ODE of second order with constant coefficients using Laplace transformation techniques.
UNIT IV      ANALYTIC FUNCTIONS
Functions of a complex variable – Analytic functions: Necessary conditions – Cauchy-Riemann equations and sufficient conditions (excluding proofs) – Harmonic and orthogonal properties of analytic function – Harmonic conjugate – Construction of analytic functions – Conformal mapping: w = z+k, kz, 1/z, z2, ez  and bilinear transformation.
UNIT V     COMPLEX  INTEGRATION
Complex integration – Statement  and  applications  of  Cauchy‟s  integral  theorem  and  Cauchy‟s integral formula – Taylor‟s  and  Laurent‟s  series  expansions  – Singular points – Residues – Cauchy‟s residue theorem – Evaluation of real definite integrals as contour integrals around unit circle and semi-circle (excluding poles on the real axis).

 Lecture Notes

MA6152 Mathematics – II Lecture Notes

 Part A – 2 Marks
MA6152 Mathematics – II unit wise 2 marks with Answers

 Part B – 16 Marks

MA6152 Mathematics – II unit wise 16 marks with answers

 Question Papers

MA6152 Mathematics – II Question Papers
·         DOWNLOAD  – MA6251 Engineering Mathematics II   – May/June 2014 Question Paper
·         DOWNLOAD  – MA6251 Engineering Mathematics II   – November/December 2014 Question Paper
·         DOWNLOAD  – MA6251 Engineering Mathematics II   – May/June 2015 Question Paper
·         DOWNLOAD  – MA6251 Engineering Mathematics II   – November/December 2015 Question Paper

 Question Banks
MA6152 Mathematics – II Question Bank
READ MORE :  MA6151 Mathematics - I Question Papers Collection I bank I Notes Syllabus 2 marks with answers Part A Question Bank with answers Key, Important Part B Questions

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