Anna University, Trichy is going to start a part time B.E. program for diploma holders with minimum one year of experience. Part time program will be in Electronics and Communication, Computer Science and Mechanical Engineering Disciplines with the starting strength of 60 students each.
Syllabus of B.E. (PART TIME) COMPUTER SCIENCE AND ENGINEERING:
Semester ii
Mathematics ii
UNIT I MULTIPLE INTEGRALS 9
Double Integration – Cartesian and Polar Co– Ordinates – Change of Order of Integration –
Area as a Double Integral – Change of Variables between Cartesian and Polar Coordinates –
Triple Integration – Volume as a Triple Integral.
UNIT II VECTOR CALCULUS 9
Gradient, Divergence and Curl – Directional Derivative – Irrotational and Solenoidal Vector
Fields – Vector Integration – Problem Solving Using Green’s Theorem – Gauss Divergence
Theorem and Stokes Theorem – Simple applications and verifications.
UNIT III FOURIER SERIES AND TRANSFORMS 9
Dirichlets Conditions – General Fourier series – Odd and Even Functions – Half Range
Sine Series and Cosine Series – Fourier Transform Pair – Sine and Cosine Transforms –
Properties – Transforms of Simple Functions – Parsevals Identity for Series and transforms.
UNIT IV COMPLEX INTEGRATION 9
Problems Solving Using Cauchy’s Integral Theorem and Integral Formula – Taylor’s and
Laurent’s Expansions – Residues – Cauchy’s Residue Theorem – Contour Integration over
Unit Circle – Semicircular Contours with No Pole on Real Axis.
UNIT LAPLACE TRANSFORMS 9
Transforms of Elementary Functions – Basic Properties – Transforms of Derivatives and
Integrals – Initial and Final Value Theorems – Inverse Laplace Transforms – Convolution
Theorem – Solution of Ordinary Differential Equations with Constant Coefficients Using
Laplace Transforms.
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