Engineering Mathematics - I

it is swipe based designed for engineering & applied sciences student to learn mathematics 1. it almost cover entire topics for mathematics which are given below

Chapter 1 DIFFERENTIAL CALCULUS

1. Expansion of functions by Maclaurin's and Taylor's theorem. Partial differentiation

2. Euler's theorem and its application in approximation and errors

3. Maxima and Minima of function of two variables

4. Radius of curvature

5. centre of curvature

Chapter 2 INTEGRAL CALCULUS

1. Definite Integrals as a limit of a sum

2. Beta and Gamma Functions

3. double integrals

4. Triple Integrals

5. Change of Order of Integration

6. Area,Volume and Surfaces using double and triple Integral

Chapter 3 DIFFERENTIAL EQUATIONS

Solution of Ordinary Differential Equation of first order and first degree for Exact differential Equations

1. III Exact differential equations

2. Linear Differential Equations with Constant Coefficients

3. Cauchy's Homogeneous differential Equation

4. Simultaneous differential Equations

5. Method of Variation of Parameters

Chapter 4 MATRICES

1. matrices rank

2. Matrix Determinants

3. Matrix Inverse

4. Solution of Simultaneous equation by elementary transformation

5. matrices transformation

6. Consistency of System of Simultaneous Linear Equation

7. Consistency of System of Simultaneous Linear Equation

8. Eigen Values and Eigen Vectors

9. Cayley-Hamilton Theorem and its Application to find the inverse

Chapter 5 ALGEBRA AND GRAPH THEORY

1. Boolean Algebra

2. Principle of Duality

3. Basic Theorems

4. Boolean Expressions and Functions

5. Elementary Concept of Fuzzy Logic

6. Graph thoery

</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1，它几乎囊括了将在下面给出的数学整主题

第1章微分

1.扩大受麦克劳林的泰勒定理的功能。部分分化

2.欧拉定理及其在逼近和错误应用

3.千里马和两个变量的函数极小

4.曲率半径

5.中心曲率

第2章积分

1.定积分作为总和的上限

2，β和γ功能

3.二重积分

4.三重积分

5.变更订单集成的

使用双重和三重积分6，面积，体积和表面

第3章微分方程

一阶和第一个学位常微分方程的精确差分方程解

1.三精确微分方程

常系数2.线性微分方程

3.柯西齐次微分方程

4.同时微分方程

参数变异的5方法

第4章矩阵

1.矩阵秩

2.行列式

3.矩阵逆

同时方程的初等变换4.解决

5.矩阵变换

线性方程组的系统的6一致性

线性方程组的系统的7一致性

8.特征值和特征向量

9.凯莱 - 汉密尔顿定理及其找到逆应用

第5章代数和图论

1.布尔代数

2.原理二重性

3.基本定理

4.布尔表达式和函数

模糊逻辑5.基本概念

6.图形理论联系</div> <div class="show-more-end">