## MA6251 Mathematics II Regulation 2013 Syllabus 2nd Semester Students - Common to all Departments

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**download the PDF Syllabus for MA6251 Maths II**(M2 Syllabus) which is common for all**2nd Semester Engineering Students under Anna University**.
clearudoubts.com provided Anna University Syllabus for Engineering Maths 2 Paper for 2nd semester Students. Students can download pdf of Engineering Mathematics II syllabus or they can take a print out of it even.

**Check below the Mathematics**

**2 Syllabus (M2 Syllabus)**

__MA6251 MATHEMATICS II SYLLABUS REGULATION 2013 - ANNA UNIVERSITY__**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).

__TEXTBOOKS__:

1. Bali N. P and Manish Goyal, “A Text book of Engineering Mathematics”, Eighth Edition, Laxmi Publications Pvt Ltd.,2011.

2. Grewal. B.S, “Higher Engineering Mathematics”, 41st Edition, Khanna Publications, Delhi, 2011.

__REFERENCES:__

1. Dass, H.K., and Er. Rajnish Verma,” Higher Engineering Mathematics”, S. Chand Private Ltd., 2011

2. Glyn James, “Advanced Modern Engineering Mathematics”, 3rd Edition, Pearson Education, 2012.

3. Peter V. O‟Neil,” Advanced Engineering Mathematics”, 7th Edition, Cengage learning, 2012.

4. Ramana B.V, “Higher Engineering Mathematics”, Tata McGraw Hill Publishing Company, New Delhi, 2008.

5. Sivarama Krishna Das P. and Rukmangadachari E., “Engineering Mathematics” Volume II, Second Edition, PEARSON Publishing, 2011.

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*prescribed books and reference books details for Engineering Maths II paper*. above is the**syllabus for Mathematics****2 paper**prescribed by**anna university for regulation 2013 students of 2nd semester.****Check below for important updates**

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