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Arvind Kumar

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Simple notes for engineering mathematics -III.It almost cover important topics chapter wise

Chapter 1		

1.	Analytic functions		

2.	Harmonic Conjugate		

3.	Cauchy-Riemann Equations		

4.	Line Integral		

5.	Cauchy's Theorem		

6.	Cauchy's Integral Formula		

7.	Singular Points		

8.	Poles & Residues	

9.	Residue Theorem		

10.	Application of Residues theorem	

Chapter 2		

1.	Errors & Approximations		

2.	Solution of Algebraic & Trancedental Equations		

3.	Solution of simultaneous linear equatins by Gauss Elimination		

4.	Gauss Jordan		

5.	Crout's methods		

6.	Jacobi's and Gauss-Siedel Iterative methods	

Chapter 3		

1.	Difference Operators		

2.	Newton Forward & Backward Formulae		

3.	Central Interpolation Formulae		

4.	Lagrange's and divided difference formulae		

5.	Numerical Differentiation		

6.	Numerical Integration	

 

Chapter 4		

1.	Solution of Ordinary Differential Equations		

2.	Taylor's Series		

3.	Picard's Method		

4.	Modified Euler's Method		

5.	Runge-Kutta Method		

6.	Milne's Predictor & Corrector method		

7.	Correlation and Regression		

8.	Curve Fitting	

Chapter 5

1.	Probability density function		

2.	Binomial		

3.	Poisson?s		

4.	Continuous Distribution		

5.	Normal Distribution		

6.	Exponential Distribution		

7.	Gamma Distribution		

8.	Beta Distribution	

9.	Chi-Square Method

Engineering Mathematics III

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