**MA8251 ****Syllabus ****ENGINEERING MATHEMATICS 2 **

MA8251 Syllabus ENGINEERING MATHEMATICS 2 Regulation 2017 Anna University Free download. ENGINEERING MATHEMATICS 2 Syllabus MA8251 pdf free download.

**UNIT I MATRICES MA8251 Syllabus ENGINEERING MATHEMATICS 2**

Eigenvalues and Eigenvectors of a real matrix – Characteristic equation – Properties of Eigenvalues and Eigenvectors – Cayley-Hamilton theorem – Diagonalization of matrices – Reduction of a quadratic form to canonical form by orthogonal transformation – Nature of quadratic forms.

**UNIT II VECTOR CALCULUS MA8251 Syllabus ENGINEERING MATHEMATICS 2**

Gradient and directional derivative – Divergence and curl – Vector identities – Irrotational and Solenoidal vector fields – Line integral over a plane curve – Surface integral – Area of a curved surface – Volume integral – Green’s, Gauss divergence and Stoke’s theorems – Verification and application in evaluating line, surface and volume integrals.

**UNIT III ANALYTIC FUNCTIONS MA8251 Syllabus ENGINEERING MATHEMATICS 2**

Analytic functions – Necessary and sufficient conditions for analyticity in Cartesian and polar coordinates – Properties – Harmonic conjugates – Construction of analytic function – Conformal mapping – Mapping by functions, – Bilinear transformation.

**UNIT IV COMPLEX INTEGRATION MA8251 Syllabus ENGINEERING MATHEMATICS 2**

Line integral – Cauchy’s integral theorem – Cauchy’s integral formula – Taylor’s and Laurent’s series – Singularities – Residues – Residue theorem – Application of residue theorem for evaluation of real integrals – Use of circular contour and semicircular contour.

**UNIT V LAPLACE TRANSFORMS MA8251 Syllabus ENGINEERING MATHEMATICS 2 **

Existence conditions – Transforms of elementary functions – Transform of unit step function and unit impulse function – Basic properties – Shifting theorems -Transforms of derivatives and integrals – Initial and final value theorems – Inverse transforms – Convolution theorem – Transform of periodic functions – Application to solution of linear second order ordinary differential equations with constant coefficients.

Subject name | ENGINEERING MATHEMATICS 2 |

Regulation | 2017 Regulation |

File details | Syllabus in PDF format in attached |

**MA8251 Syllabus ENGINEERING MATHEMATICS 2** **CLICK HERE to Download**

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**Departments in which this subject MA8251 ENGINEERING MATHEMATICS 2 Syllabus is placed are listed below:**

Information Technology (IT), Biomedical Engineering, Medical Electronics,Computer and Communication Engineering, Chemical Engineering, Biotechnology, Polymer Technology,Plastic Technology, Textile Technology, Fashion Technology, Petroleum Engineering, Textile Chemistry, Chemical and Electrochemical Engineering, Petrochemical Technology, Pharmaceutical Technology, Petrochemical Engineering, Food Technology, Handloom and Textile Technology, Civil Engineering, Environmental Engineering, Geo informatics Engineering, Agriculture Engineering, Aeronautical Engineering, Automobile Engineering, Mechanical and Automation Engineering, Industrial Engineering, Mechanical Engineering (Sandwich), Robotics and Automation, Electrical and Electronics Engineering (EEE), Electronics and Instrumentation Engineering (EIE), Instrumentation and Control Engineering (ICE), Electronics and Communication Engineering (ECE), Computer Science and Engineering (CSE), Mechanical Engineering (MECH), Production Engineering, Materials Science and Engineering, Manufacturing Engineering, Industrial Engineering and Management, Mechatronics Engineering.

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