GATE Maths

Topic Covered:

* Calculus

1. Maclaurins and Taylors Series

2. Indeterminate Forms

3. Partial Differentiation

4. Application of PD

5. Tracing Of Curves

6. Sequences and Series

7. Improper Integrals

8. Multiple Integrals

9. Reduction Formulas

* Maths-2

1. Matrices System of Linear Equations

2. Vector Spaces

3. Linear Transformation

4. Inner product Spaces

5. Eigenvalues-Eigenvectors

6. Vector Functions

7. Vector Calculus

* Advanced Engineering Mathematics :-

1. First Order

2. Higher Order

3. Laplace

4. Fourier

5. Power Series

6. P.D.E

* Numerical Method :-

1) error analysis and iterative methods

2) finite differences and interpolation

3) numerical differentiation and integration

4) numerical solution of ordinary differential equation

5) system of linear algebra equations

* Complex Method :-

1) complex numbers and elementary functions

2) analytic functions

3) complex integration

4) power series

5) Residue Theorem

* Probability & Statistics :-

1) Basic concepts of probability

2) The Concept of Random Variables and Conditional Distributions

3) Statistical computation

4) Correlation and Regression

5) Curve Fitting and Principle of Least Squares

* Basic Formulas

1) Integration

2) Differentiation

3) Trigonometry

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主题涵盖：

*微积分

1. Maclaurins和Taylors系列

2.不确定的表格

3.部分差异化

4. PD的应用

5.追踪曲线

6.序列和系列

7.不正确的积分

8.多重积分

9.减少公式

*数学-2

1.线性方程矩阵系统

2.向量空间

3.线性变换

4.内部产品空间

5.特征值 - 特征向量

6.矢量函数

7.矢量微积分

*高级工程数学： -

1.第一顺序

2.更高阶

拉普拉斯

傅立叶

5.电源系列

6. P.D.E

*数值方法： -

1）错误分析和迭代方法

2）有限差分和插值

3）数值微分和积分

4）常微分方程的数值解

5）线性代数方程组

*复杂方法： -

1）复数和基本函数

2）分析功能

3）复杂的整合

4）电源系列

5）残留定理

*概率与统计： -

1）概率的基本概念

2）随机变量和条件分布的概念

3）统计计算

4）相关和回归

5）曲线拟合和最小二乘原理

*基本配方

1）整合

2）分化

3）三角学

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