Civil Engineering - Shridhar University
Civil Engineering - Shridhar University Civil Engineering - Shridhar University
E IGHT H SEMESTER Course Code BTCE801 Construction Mgmnt & Technolgy Course Name L T P C BTCE802 Estimate Specification & Deptt procedures 3 1 - 4 3 1 - 4 BTCE803 Concrete Technolgy 3 1 - 4 BTCE804 GIS 3 1 - 4 BTCE805 Project/Seminar/Viva Voce 10 10 BT101 Mathematics-I 3 1 0 3 PURPOSE To impart analytical ability in solving mathematical problems as applied to the respective branches of Engineering. I NSTRUCT IONAL OBJECT IVES At the conclusion of the course, students should have understood Multiple Integrals , Laplace
Transforms, Vector Calculus and Functions of a complex variable including contour integration and able to apply to all their Engineering problems. M ULT IPLE I N TEGRALS Double integration in Cartesian and polar coordinates - Change of order of integration - Area as a double integral - Triple integration in Cartesian coordinates. LAPLACE TRANSFORMS Transforms of simple functions - Basic operational properties - Transforms of derivatives and integrals - Initial and final value theorems - Inverse transforms - Convolution theorem - periodic functions - Applications of Laplace transforms for solving linear ordinary differential equations up to second order with constant coefficients only. VECTOR CALCULUS Gradient, divergence, curl - Solenoidal and irrotational fields - Vector identities (without proof) - Directional derivatives - Line, surface and volume integrals - Statements of Green's, Gauss divergence and Stroke's theorems only - Verification and applications to cubes and parallelopipeds only. ANALYT IC FUNCT IONS Definition of Analytic Function - Cauchy Riemann equations - Properties of analytic functions - Determination of harmonic conjugate - Milne-Thomson's method - Conformal mappings: 1/z, az az+b and bilinear transformation. COMPLEX I N TEGRATION Line integral - Cauchy's integral theorem (without proof) - Cauchy's integral formulae (with proof) - application of Cauchy's integral formulae - Taylor's and Laurent's expansions (statements only) - Singularities - Poles and Residues - Cauchy's residue theorem (with proof) - Evaluation of line integrals. TEXT BOOKS 1. Grewal B.S, Higher Engg Maths, Khanna Publications, 38th Edition 2. Veerajan, T., Engineering Mathematics, Tata McGraw Hill Publishing Co., New Delhi,2000 3. Dr.V.Ramamurthy & Dr. Sundarammal Kesavan, Engineering Mathematics - Vol I & II Anuradha Publications, Revised Edition 2006. REFERENCE BOOKS
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E IGHT H SEMESTER<br />
Course<br />
Code<br />
BTCE801 Construction Mgmnt &<br />
Technolgy<br />
Course Name L T P C<br />
BTCE802 Estimate Specification & Deptt<br />
procedures<br />
3 1 - 4<br />
3 1 - 4<br />
BTCE803 Concrete Technolgy 3 1 - 4<br />
BTCE804 GIS 3 1 - 4<br />
BTCE805 Project/Seminar/Viva Voce 10 10<br />
BT101 Mathematics-I 3 1 0 3<br />
PURPOSE<br />
To impart analytical ability in solving mathematical problems as applied to the respective branches of<br />
<strong>Engineering</strong>.<br />
I NSTRUCT IONAL OBJECT IVES<br />
At the conclusion of the course, students should have understood Multiple Integrals , Laplace
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