Engineering Mathematics-II

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

</div> <div jsname="WJz9Hc" style="display:none">它是基于刷卡专为工程和应用科学的学生学习数学-II。它几乎囊括数学-2分别如下所有主题

第1章傅立叶级数

傅立叶级数的引言

2.傅里叶级数连续函数

3.收敛傅里叶级数

4.傅里叶级数偶函数

5.傅立叶级数为奇函数

6.半程系列

7.傅立叶变换

8.正弦和余弦变换

第2章拉普拉斯变换

拉普拉斯变换1.介绍

2.拉普拉斯变换的基本功能

拉普拉斯变换3.性能

4.更改规模财产

5.第二换档特性

6.拉普拉斯变换的衍生物的

7.逆拉普拉斯变换和它的属性

8.卷积定理

L.T. 9.应用解决了常微分方程

第3章二阶变系数线性微分方程

1.方法一个整体被称为

2.除去第一导数的

3.改变独立变量和参数的变化的

通过系列方法4解决方案

一阶第4章线性和非线性偏微分方程

1.配方偏微分方程

通过直接集成2.解方程

3.拉格朗日线性方程

4. charpit的方法

的二阶以上5线性偏微分方程

6.线性齐非齐次偏差异

的n阶常系数7.方程

8.分离变量法的波和热传导方程的解

第5章矢量微积分

1.差异化的载体

2.标量和矢量点功能

梯度3.几何意义

4.单位法向量和方向导数

分歧和卷曲5.物理解释

6.线积分

7.表面积分和体积积分

8格林公式

9.斯托克的和高斯散度定理</div> <div class="show-more-end">