GATE Maths

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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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