Vtuplanet CSE Notes - 2017-2018 StudyChaCha

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Old December 7th, 2017, 02:18 PM
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I want the Notes/ syllabus of B.Tech of Computer Science Engineering of Visvesvaraya Technological University VTU so can you provide me?
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Old December 7th, 2017, 02:40 PM
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Default Re: Vtuplanet CSE Notes

I am providing you the syllabus of B.Tech of Computer Science Engineering of Visvesvaraya Technological University VTU

Visvesvaraya Technological University VTU B.Tech CSE Syllabus

III Semester


Engineering Mathematics – III

CODE: 10 MAT 31

IA Marks: 25

Hrs/Week: 04

Exam Hrs: 03

Total Hrs: 52

Exam Marks:100

PART-A

Unit-I:FOURIER SERIES
Convergence and divergence of infinite series of positive terms, definition
and illustrative examples*
Periodic functions, Dirichlet’s conditions, Fourierseries of periodic functions
of period and arbitrary period, half range Fourier series. Complex form of
Fourier Series. Practical harmonic analysis. [7 hours]
Unit-II:FOURIER TRANSFORMS
Infinite Fourier transform, Fourier Sine and Cosine transforms, properties,
Inverse transforms [6 hours]
Unit-III:APPLICATIONS OF PDE
Various possible solutions of one dimensional wave and heat equations, two
dimensional Laplace’s equation by the method of separation of variables,
Solution of all these equations with specified boundary conditions.
D’Alembert’s solution of one dimensional wave equation.
[6 hours]
Unit-IV:CURVE FITTING AND OPTIMIZATION
Curve fitting by the method of least squares- Fitting of curves of the form
, y ax b = +2, y a x b x c = + + , ybx by a e ax = =
Optimization: Linear programming, mathematical formulation of linear
programming problem (LPP), Graphical method and simplex method. [7 hours]

PART-B

Unit-V:NUMERICAL METHODS – 1

Numerical Solution of algebraic and transcendental equations: Regula-falsi
method, Newton - Raphson method. Iterative methods of solution of a system
of equations: Gauss-seidel and Relaxation methods. Largest eigen value and
the corresponding eigen vector by Rayleigh’s power method.
[6 hours]

Unit-VI:NUMERICAL METHODS – 2
Finite differences: Forward and backward differences, Newton’s forward and
backward interpolation formulae. Divided differences - Newton’s divided
difference formula, Lagrange’s interpolation formula and inverse
interpolation formula.
Numerical integration: Simpson’s one-third, three-eighth and Weddle’s rules
(All formulae/rules without proof)
[7 hours]

Unit-VII:NUMERICAL METHODS – 3
Numerical solutions of PDE – finite difference approximation to derivatives,
Numerical solution of two dimensional Laplace’s equation, one dimensional heat and wave equations [7 hours]

Unit-VIIIIFFERENCE EQUATIONS AND Z-TRANSFORMS
Difference equations: Basic definition; Z-transforms – definition, standard Ztransforms, damping rule, shifting rule, initial value and final value theorems.
Inverse Z-transform. Application of Z-transforms to solve difference
equations.
[6 hours]
Note: * In the case of illustrative examples, questions are not to be set.

Text Books:
1. B.S. Grewal, Higher Engineering Mathematics, Latestedition,
Khanna Publishers
2. Erwin Kreyszig, Advanced Engineering Mathematics, Latest
edition, Wiley Publications

Visvesvaraya Technological University VTU B.Tech CSE Syllabus






For complete syllabus here is the attachment

Contact-

Visvesvaraya Technological University
Jnana Sangama, Machhe, Belagavi, Karnataka 590018
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