I want the syllabus/ notes of B.Tech Computer Science & Engineering of University of Kerala so can you provide me?

Here I am providing you the syllabus of B.Tech Computer Science & Engineering of University of Kerala.

University of Kerala B.Tech CSE Syllabus-

Semester I & II-

Course Code Subject
08.101 Engineering Mathematics I
08.102 Engineering Physics
08.103 Engineering Chemistry
08.104 Engineering Graphics
08.105 Engineering Mechanics
08.106 Basic Civil Engineering
08.107 Basic Mechanical Engineering
08.108 Basic Electrical and Electronics
Engineering
08.109 Basic Communication and
Information Engineering
08.110 Engineering Workshops

08.101 Engineering Mathematics I

L-T-P : 2-1-0 Credits: 6

MODULE I

Applications of differentiation:– Definition of Hyperbolic functions and their derivatives- Successive
differentiation- Leibnitz’ Theorem(without proof)- Curvature- Radius of curvature- centre of curvature-
Evolute ( Cartesian ,polar and parametric forms)
Partial differentiation and applications:- Partial derivatives- Euler’s theorem on homogeneous functions-
Total derivatives- Jacobians- Errors and approximations- Taylor’s series (one and two variables) - Maxima and
minima of functions of two variables - Lagrange’s method- Leibnitz rule on differentiation under integral sign.
Vector differentiation and applications :- Scalar and vector functions- differentiation of vector functions-
Velocity and acceleration- Scalar and vector fields- Operator  - Gradient- Physical interpretation of gradient-
Directional derivative- Divergence- Curl- Identities involving  (no proof) - Irrotational and solenoidal fields
– Scalar potential.

MODULE II

Laplace transforms:- Transforms of elementary functions - shifting property- Inverse transforms- Transforms
of derivatives and integrals- Transform functions multiplied by t and divided by t - Convolution
theorem(without proof)-Transforms of unit step function, unit impulse function and periodic functions-second
shifiting theorem- Solution of ordinary differential equations with constant coefficients using Laplace
transforms.
Differential Equations and Applications:- Linear differential eqations with constant coefficients- Method of
variation of parameters - Cauchy and Legendre equations –Simultaneous linear equations with constant
coefficients- Application to orthogonal trajectories (cartisian form only).

MODULE III

Matrices:-Rank of a matrix- Elementary transformations- Equivalent matrices- Inverse of a matrix by gauss-
Jordan method- Echelon form and normal form- Linear dependence and independence of vectors- Consistency-
Solution of a system linear equations-Non homogeneous and homogeneous equations- Eigen values and eigen
vectors – Properties of eigen values and eigen vectors- Cayley Hamilton theorem(no proof)- Diagonalisation-
Quadratic forms- Reduction to canonical forms-Nature of quadratic forms-Definiteness,rank,signature and
index.

REFERENCES

1. Kreyszig; Advanced Engineering Mathematics, 8th edition, Wiley Eastern.
2. Peter O’ Neil ; Advanced Engineering Mathematics, Thomson
3. B.S.Grewal ; Higher Engineering Mathematics, Khanna Publishers
4. B.V.Ramana; Higher Engineering Mathematics, Tata Mc Graw Hill, 2006
5. Michel D Greenberg; Advanced Engineering Mathematics,Pearson International
6. Sureshan J, Nazarudeen and Royson; Engineering Mathematics I, Zenith Publications

For complete syllabus here is the attachment


Contact-

University of Kerala
Senate House Campus, Palayam, Thiruvananthapuram, Kerala 695034

Attached Files

University of Kerala B.Tech CSE Syllabus.pdf (532.8 KB, 187 views)