MA6251 Mathematics II Syllabus Notes Question Papers Question Bank with answers download - Anna University 2nd Semester Study materials
Download Question bank, Question papers, Notes, Syllabus for MA6251 Mathematics II (Maths 2) regulation 2013 in PDF
MA6251 Mathematics II Syllabus - Maths II Syllabus
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).
MA6251 Mathematics II (Maths 2) - All useful study materials
|MA6251 Study Materials||Download Link|
|MA6251 Syllabus||Click here to download Syllabus|
|MA6251 Notes||Click here to download Unit wise Notes|
|MA6251 Question Bank||Click here to download Question Bank|
|MA6251 Question Papers||Click here to download Question paper|
|MA6251 2 marks with Answers (Part A)||Click here to download 2 marks with answers|
MA6251 Anna University
Anna University 2nd Semester Notes Question Bank ebooks Question Papers
Anna University 2nd Semester Study materials
MA6251 Mathematics II syllabus pdf
MA6251 Mathematics II notes prepared by lectures
MA6251 Mathematics II regulation 2013
MA6251 Mathematics II question bank
MA6251 Mathematics II question papers
MA6251 Mathematics II important questions
MA6251 Mathematics II ebook