Engineering Mathematics 3 APP
Formula covered in the app are:
1) Special Function
- Beta Function
- Gamma Function
- Error Function
- Complementary Error Function
- Unit Step Function
- Pulse of Unit Height
- Sinusoidal Pulse Function
- Rectangle Function
- Gate Function
- Dirac Delta Function
- Square Wave Function
- Saw Tooth Wave Function
- Triangular Wave Function
- Half/Full Rectified Sine Wave Function
- Bessel's Function
2) Fourier Series
- Fourier Series Interval (C, C+2l)
- Leibnitz's Formula
- Factoring Formula
- Fourier Series Interval (0, 2l), (0, 2π), (-l,l), (-π,π)
- Fourier Series for Odd & Even Function
- Half Range Series
- Fourier Transform
3) Differential Equation
- Differential Equation
- Ordinary Differential Equation
- Partial Differential Equation
- Order of Differential Equation
- The degree of Differential Equation
- Linearity of Differential Equation
- Exact Differential Equation
- Non-Exact Differential Equation
- Orthogonal Trajectory
- Higher Order Linear Differential Equation with constant co-efficient
- Auxiliary Equation and second order differential equation
- Method for Finding C.F. of Higher Order Differential Equation
- Method of finding the particular integral
- Method of Undetermined Co-efficient
- Definition: Wronskian
- Method of Variation of Parameters
- Cauchy - Euler Equation
- The solution of Differential Equation by One of Its Solution
4) Series Solution of Differential Equation
- Power Series
- Analytic Function
- Ordinary and Singular Point
- Regular/Irregular Singular Point
- Power Series Solution at an Ordinary Point
- Frobenius Method
5) Laplace Transform
- Properties of Laplace Transforms
- Laplace Transform Table
- Laplace Transform of some Standard Function
- Theorem: First Shifting Theorem
- Theorem: Differentiation of Laplace Transform
- Theorem: Integration of Laplace Transform
- Theorem: Laplace Transform of integration of a function
- Laplace Transform of Unit Step Function
- Theorem: Second Shifting Theorem
- First Shifting Theorem
- Partial Fraction Method
- Second Shifting Theorem
- Inverse Laplace Transform of Derivatives
- Convolution Product
- Theorem: Convolution Theorem
- Theorem: Derivative of Laplace Transform
6) Partial Differential Equation (PDE)
- Partial Differential Equation
- Order/Degree of Differential Equation
- Formation of Partial Differential Equation
- Lagrange's Differential Equation
- Non-Linear Partial Differential Equation of First Orde
- Charpit's Method
- Method of Separation of Variables
- Classification of Second Order Partial Differential Equation
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This App is developed at ASWDC by Twisha Kotecha (150540107049), a 6th Sem CE Student. ASWDC is Apps, Software, and Website Development Center @ Darshan University, Rajkot run by students & staff of Computer Science and Engineering Department.
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