As you requires I am here giving you Syllabus for BTECH Electrical and Electronics Engineering (EEE) 3rd sem. Program of VTU.

Syllabus BTECH EEE 3rd Sem. Program:

Engineering Mathematics – III:

PART-A
Unit-I: FOURIER SERIES
Convergence and divergence of infinite series of positive terms, definition and illustrative
examples
Periodic functions, Dirichlet’s conditions, Fourier series of periodic functions of period
and arbitrary period, half range Fourier series. Complex form of Fourier Series.
Practical harmonic analysis.

Unit-II: FOURIER TRANSFORMS
Infinite Fourier transform, Fourier Sine and Cosine transforms, properties, Inverse
transforms

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.

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 , y bx b
y a e ax 
Optimization: Linear programming, mathematical formulation of linear programming
problem (LPP), Graphical method and simplex method.

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.

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)

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

Unit-VIII: DIFFERENCE EQUATIONS AND Z-TRANSFORMS
Difference equations: Basic definition; Z-transforms – definition, standard Z-transforms,
damping rule, shifting rule, initial value and final value theorems. Inverse Z-transform.
Application of Z-transforms to solve difference equations.


Here is the attachment .


Contact Detail :
Visvesvaraya Technological University Karnataka
Jnana Sangama, VTU Main Road, Machhe, Belagavi, Karnataka 590018
0831 249 8196

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