WB 12th result 2017, UP Board Intermediate result 2017, UP High School result 2017, Anna University results 2017, Maharashtra SSC result 2017, HSC result 2017, UP 12th result 2017, UP 10th result 2017, West Bengal High School result 2017, WB 10th result 2017
Home II SEM SYLLABUSMATHEMATICS 2 MA2161 ANNA UNIVERSITY SYLLABUS | BE 2ND SEMESTER MATHEMATICS II MA 2161 SYLLABUS | ENGINEERING MATHEMATICS II SYLLABUS
APPLICABLE TO CHENNAI,MADURAI,COIMBATORE,TRICHY,TRINELVELI AND ALL DISTRICT COLLEGES FIRST YEAR SECOND SEMESTER STUDENTS
MA2161 MATHEMATICS II SYLLABUS
UNIT I 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 II 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 parallelpipeds.
UNIT III ANALYTIC FUNCTIONS
Functions of a complex variable – Analytic functions – Necessary conditions, Cauchy – Riemann equation and Sufficient conditions (excluding proofs) – Harmonic and orthogonal properties of analytic function – Harmonic conjugate – Construction of analytic functions – Conformal mapping : w= z+c, cz, 1/z, and bilinear transformation.
UNIT IV COMPLEX INTEGRATION
Complex integration – Statement and applications of Cauchy’s integral theorem and Cauchy’s integral formula – Taylor and Laurent expansions – Singular points – Residues – Residue theorem – Application of residue theorem to evaluate real integrals – Unit circle and semicircular contour(excluding poles on boundaries).
UNIT V LAPLACE TRANSFORM
Laplace transform – Conditions for existence – Transform of elementary functions – Basic properties – Transform of derivatives and integrals – Transform of unit step function and impulse functions – Transform of periodic functions. Definition of Inverse Laplace transform as contour integral – Convolution theorem (excluding proof) – Initial and Final value theorems – Solution of linear ODE of second order with constant
coefficients using Laplace transformation techniques.
1. Bali N. P and Manish Goyal, “Text book of Engineering Mathematics”, 3Rd Edition, Laxmi Publications (p) Ltd., (2008).
Rejinpaul.com Provides Very fast updated information regarding Anna University related Notifications. Students can Bookmark this page to all latest Anna University News regarding Exam Time Table, Syllabus, Tentative result date, and other most important notifications for all affiliated Engineering College UG PG students will be available in this page. Rejinpaul.com will provide latest updates released by Anna University Officials such that it reaches the students correctly and in timely manner. Hence, We have created a dedicated page for Updating the Anna University Latest news updated in COE Portal as well as in aucoe portal.