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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Details were last updated on Nov 5, 2024 18:57 +08.