# 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**

**Anna University Maths II (M2) Unit -1 Notes download**

**Anna University Mathematics II (M2) Unit -2 Notes download**

**Anna University Mathematics II (M2) Unit -3 Notes download**

**Anna University Mathematics II (M2) Unit -4 Notes download**

**Anna University Mathematics II (M2) Unit -5 Notes download**

**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.

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