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It is swipe based designed for engineering & applied science student to learn Mathematics-II. It almost cover all topics of Mathematics-2 which are given below

Chapter 1 Fourier Series	

1.	Introduction of Fourier series		

2.	Fourier series for Discontinuous functions		

3.	Convergence of Fourier series		

4.	Fourier series for even function		

5.	Fourier Series for Odd Functions		

6.	Half range series		

7.	Fourier Transform		

8.	Sine and Cosine transform	

Chapter 2 Laplace Transform		

1.	Introduction of Laplace Transform		

2.	Laplace Transform of elementary functions		

3.	properties of Laplace Transform		

4.	Change of scale property		

5.	second shifting property		

6.	Laplace transform of the derivative		

7.	Inverse Laplace transform & its properties		

8.	Convolution theorem

9.	Applications of L.T. to solve the ordinary differential equations

Chapter 3 Second Order linear differential equation with variable coefficients

 

1.	Methods one integral is known		

2.	removal of first derivative		

3.	changing of independent variable and variation of parameter		

4.	Solution by Series Method

Chapter 4 Linear and Non Linear partial differential equation of first order

1.	Formulation of partial differential equations		

2.	solution of equation by direct integration		

3.	Lagrange's Linear equation		

4.	charpit's method		

5.	Linear partial differential equation of second and higher order		

6.	Linear homogeneous and Non homogeneous partial diff		

7.	equation of nth order with constant coefficients		

8.	Separation of variable method for the solution of wave and heat equations

 

Chapter 5 Vector Calculus

1.	Differentiation of vectors		

2.	scalar and vector point function		

3.	geometrical meaning of Gradient		

4.	unit normal vector and directional derivative		

5.	physical interpretation of divergence and Curl		

6.	Line integral		

7.	surface integral and volume integral		

8.	Green's Theorem

9.	Stoke's and Gauss divergence theorem

Engineering Mathematics-II

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