MA6251 Mathematics II ,Books, Lecture Notes, 2marks with answers, Important Part B 16marks Questions & MA6251 Mathematics II Anna University Question Papers Collection

MA6251 Mathematics II Lecture Notes Syllabus Books 2marks & 16marks Questions with answers Anna University Question Papers Collection & MA6251 Mathematics II Question Bank with answers

Semester : 02 (Second)

Department : Common For All

Year : First Year (1^st Year)

Regulation : 2013

Subject Code / Name : MA6251 Mathematics II

Content : Question Banks, Books, Lecture Notes, Important Part A 2 Marks Questions and Important Part B 16 Mark Questions

Anna University paper correction seems to be quite easy in such a way that if you have a correct answer with correct key words you can easily score good grades. The university offers various courses in engineering and technology through its affiliated colleges and follows a dual semester system. Every year the university conducts examinations for even semester in May–June and for odd semester in November–December. In order to help students, Civildatas provides MA6251 Mathematics II 2 marks 16 marks questions with key answers for Students. Students can download the MA6251 Mathematics II question Bank with answers and can make use of it.

SYLLABUS – MA6251 Mathematics II

OBJECTIVES:

• To make the student acquire sound knowledge of techniques in solving ordinary differential equations that model engineering problems.
• To acquaint the student with the concepts of vector calculus needed for problems in all engineering disciplines.
• To develop an understanding of the standard techniques of complex variable theory so as to enable the  student  to  apply  them  with  confidence,  in  application  areas  such  as  heat conduction, elasticity, fluid dynamics and flow the of electric current.
• To make the student appreciate  the purpose of using transforms to create a new domain in which it is easier to handle the problem that is being investigated.

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).

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