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28th January 2020, 09:01 PM
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Re: Uttarakhand Technical University ECE Syllabus

Can you provide me the syllabus for Bachelor of Technology (B.Tech) II Year [Electronics & Communication Engineering] of Uttarakhand Technical University, Dehradun?
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28th January 2020, 09:13 PM
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Re: Uttarakhand Technical University ECE Syllabus

The syllabus for Bachelor of Technology (B.Tech) II Year [Electronics & Communication Engineering] of Uttarakhand Technical University, Dehradun is as follows:


BAST 301

Mathematics – III


Module 1: Fourier Transforms: (8 hours)
Fourier integral, Fourier Transform, Complex Fourier transform, Inverse Transforms, Convolution Theorem, Fourier sine and cosine transform, Applications of Fourier transform to simple one dimensional heat transfer equations.


Module 2: Laplace Transform: (8 hours)
Definition of Laplace transform, Existence theorem, Laplace transforms of derivatives and integrals, Initial and final value theorems, Unit step function, Dirac- delta function, Laplace transform of periodic function, Inverse Laplace transform, Convolution theorem, Application to solve linear differential equations.


Module 3: Solution of Algebraic and Transcendental equations & Interpolation (8 hours)
Number and their accuracy, Solution of algebraic and transcendental equations: Bisection method, Iteration method, Newton-Raphson method and Regula-Falsi method. Rate of convergence of these methods (without proof), Interpolation: Finite differences, Relation between operators, Interpolation using Newton’s forward and backward difference formula. Interpolation with unequal intervals: Newton’s divided difference and Lagrange’s formula.


Module 4: Numerical differentiation, Integration & Solution of ODE (8 hours)
Numerical Differentiation, Numerical integration: Trapezoidal rule, Simpson’s 1/3rd and 3/8 rule RungeKutta method of fourth order for solving first order linear differential equations. Milne’s predicator corrector method


Module 5: Statistical Techniques (8 hours)
Introduction: Measures of central tendency, Moments, Moment generating function (MGF) , Skewness, Kurtosis, Curve Fitting : Method of least squares, Fitting of straight lines, Fitting of second degree parabola, Exponential curves. Correlation and Rank correlation, Regression Analysis: Regression lines of y on x and x on y, regression coefficients, properties of regressions coefficients and non-linear regression.



Reference Books:
1. E. Kreyszig: Advanced Engineering Mathematics; John Wiley & Sons
2. B.V. Ramana: Higher Engineering Mathematics; Tata McGraw- Hill Publishing Company Limited, New Delhi.
3. Peter V.O’ Neil. Advanced Engineering Mathematics, Thomas ( Cengage) Learning
4. B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers, 35th Edition, 2000
5. T.Veerarajan : Engineering Mathematics (for semester III), Tata McGraw-Hill, New Delhi.
6. R.K. Jain and S.R.K. Iyenger: Advance Engineering Mathematics; Narosa Publishing House, New Delhi.
7. P. Kandasamy, K. Thilagavathy, K. Gunavathi, Numerical Methods, S. Chand &
Company, 2nd Edition, Reprint 2012
8. S.S. Sastry, Introductory methods of numerical analysis, PHI, 4th Edition, 2005.
9. N.P. Bali and Manish Goyal, Computer Based Numerical and Statistical Techniques , Laxmi Publications, Reprint, 2010.
10. J.N. Kapur: Mathematical Statistics; S. Chand & Sons Company Limited, New Delhi.
11. D.N.Elhance,V. Elhance & B.M. Aggarwal: Fundamentals of Statistics; Kitab Mahal Distributers, New Delhi.


Syllabus B.Tech II Year [ECE] of Uttarakhand Technical University, Dehradun






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