Engineering Mathematics-II

Features

• 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

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