MA8251 ENGINEERING MATHEMATICS – II
Subject Information :
Title
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Details
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University
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Anna University
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Department
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B.E / B.tech [ Common for all Departments ]
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Semester
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2 st sem
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Year
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1 st year
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Regulation
|
R 2017
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Subject Code
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MA8251
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Subject Name
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ENGINEERING MATHEMATICS – II
|
MA8251 ENGINEERING MATHEMATICS – II | Important Questions | |
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Syllabus | Click Here to Download >> |
Part A Important Questions | Click Here to Download >> |
Part B Important Questions | Click Here to Download >> |
Question Bank | Click Here to Download VEC Edition | SRM >> |
Full Study Material | Click Here to Download | Material 2 | Unit 1 ( Part B) >> |
Other Subject Important Questions | Click Here to Download >> |
MA8251 ENGINEERING MATHEMATICS – II Question bank & materials
MA8251 Notes 1 link download - Click here (R2013)
MA8251 Notes 2 link download - Click here (R2013)
MA8251 Question bank link 1 download - click here (UPDATED Regulation 2017)
MA8251 Question bank link 2 download - click here (R2013)
MA8251 Part B with Hints material download - click here (R2013)
MA8251 ENGINEERING MATHEMATICS – II Questions Papers :
MA8251 April May 2018 Question paper - Click here to download
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MA8251 ENGINEERING MATHEMATICS – II May June 2014 Question Paper - Click here ( Upload Soon )
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MA8251 ENGINEERING MATHEMATICS – II May June 2015 Question Paper - Click here ( Upload Soon )
MA8251 ENGINEERING MATHEMATICS – II Nov Dec 2015 (FN) Question Paper - Click here ( Upload Soon )
MA8251 ENGINEERING MATHEMATICS – II Nov Dec 2015 (AN) Question Paper - Click here ( Upload Soon )
MA8251 ENGINEERING MATHEMATICS – II May June 2016 (FN) Question Paper - Click here ( Upload Soon )
Also check :
MA8251 ENGINEERING MATHEMATICS – II Systems Notes - Click here to Download
MA8251 ENGINEERING MATHEMATICS – II Systems 2 marks with answers - Download Now
Check Anna University - Exam Result | Internal Mark >>
Check Anna University Syllabus All Department - Click Here to Download >>
ANNA UNIVERSITY, CHENNAI
MA8251 ENGINEERING MATHEMATICS – II | REGULATIONS – 2017 – 1st SEMESTER
OBJECTIVES :
This course is designed to cover topics such as Matrix Algebra, Vector Calculus, Complex Analysis and Laplace Transform. Matrix Algebra is one of the powerful tools to handle practical problems arising in the field of engineering. Vector calculus can be widely used for modelling the various laws of physics. The various methods of complex analysis and Laplace transforms can be used for efficiently solving the problems that occur in various branches of engineering disciplines.
UNIT I MATRICES 12
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 12
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 12
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 – w= z+c ,cz, ½ , Z2 Bilinear transformation.
UNIT IV COMPLEX INTEGRATION 12
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 12
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.
TOTAL: 60 PERIODS
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