CUSAT s3 civil syllabus

Myself Vivek, I am student of the Cochin University of Science and Technology B.tech Semester 3 Civil Engineering? So I am searching for the Cochin University of Science and Technology B.tech Semester 3 Civil Engineering syllabus? Can you please tell me how I can download this?

Can you provide me the syllabus of Sem 3 under B Tech Civil Engineering Program offered by School of Engineering, Cochin University of Science and Technology?

[pawan]

The syllabus of Sem 3 under B Tech Civil Engineering Program offered by School of Engineering, Cochin University of Science and Technology is as follows:

AS15-1301 LINEAR ALGEBRA AND TRANSFORM TECHNIQUES

Module I
Linear Algebra 1: Rank of a matrix, solution of linear system of equations- existence, uniqueness, general form - Eigen values and Eigen vectors - properties of Eigen values -Diagonalization of a matrix - Cayley Hamilton theorem (without proof) Verification-Finding inverse and power of a matrix using it - Quadratic form-orthogonal reduction of quadratic form to Canonical form

Module II
Linear Algebra 2: Vector space-subspace-Linear dependence and independence-Spanning of a subspace- Basis and Dimension. Inner product- Inner product spaces - Orthogonal and Orthonormal basis Gram- Schmidt Orthogonalization process Linear Transformation

Module III
Fourier Analysis: Periodic function, Fourier series, Functions of arbitrary period, Even and odd functions, Half Range Expansion, Harmonic analysis, Complex fourier Series, Fourier Integrals, Fourier Cosine and Sine Transform, Fourier Transform.

Module IV
Laplace Transforms: Gamma functions and Beta function-Definition and properties, Laplace transforms. Inverse Laplace Transform, Shifting theorem, Transform of Derivative and Integrals, Solution of differential equation and integral equation using Laplce transform, Convolution, Unitstep function, Second Shifting theorem, Laplace transform of periodic function

References:
1. Kreyzig, E. (2011). Advanced Engineering Mathematics (10th edition) John Wiley &Sons, Hoboken, N.J.
2. Grewal, B. S. (2013). Higher Engineering Mathematics (43rd edition) Khanna Publishers, New Delhi
3. Hsiung, C. Y. and Mao, G. Y. Linear Algebra. World Scientific, New Jersey
4. Hoffman, K. and Kunze, R. (1971). Linear Algebra Prentice Hall of India, New Delhi
5. Venkataraman, M. K. Linear Algebra. (1999). The National Publishing Company, Chennai.


Syllabus Sem 3 B Tech Civil Engineering Cochin University of Science and Technology