Anna University Maths 2 Notes- MA2161 M2 Subject Notes, Lecture notes for second (2nd) Semester
Download Anna University Maths 2 Notes. MA2161 M2 Lecture notes, Subject Notes for Second (2nd) Semester common for all engineering branches.here we have provided the MATHS 2 MA2161 Anna university syllabus and Notes for B.E 2nd Semester ENGINEERING MATHEMATICS II MA 2161 SYLLABUS AND NOTES download.
MA2161 MATHEMATICS 2 ANNA UNIVERSITY NOTES – MA2161 M2 Notes
Subjects : Engineering Mathematics (M2)
Subject Code : MA2161
Department : common to all engineering branches
Semester : 2nd Sem
University : Anna University, Chennai
Content of MA2161 M II notes :
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.
Download Anna University maths 2 notes - MA2161 M2 Lecture notes, Subject Notes for Second (2nd) Semester common for all engineering branches.here we have provided the Anna university syllabus and Notes for B.E 2nd Semester ENGINEERING MATHEMATICS II MA 2161 SYLLABUS AND NOTES download.
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