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Calculus is essential for the GATE exam as it helps in understanding rates of change, optimization, and area calculations, which are critical in engineering analysis. (Topics 👇🏻)*

Integration
Differentiation
Multiple Integrals
Partial Derivatives
Maxima and Minima
Differential Equation
Limits and Continuity
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Engineering Mathematics Linear Algebra is important for the GATE exam as it helps solve engineering problems involving vectors, matrices, and systems of equations. (Topics 👇🏻)*

Determinants
Vector Spaces
Diagonalization
Matrix Operations
Linear Transformations
Eigenvalues & Eigenvectors
Systems of Linear Equations
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Differential Equations are vital for the GATE exam as they model real-world engineering phenomena, such as heat flow, electrical circuits, and mechanical systems. (Topics 👇🏻)*

Series Solutions
Laplace Transforms
Engineering Problems
First-Order Differential E.
Homogeneous & Non-Homog.
Second-Order Differential Equ.
Method – Variation of Parameters
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Probability and Statistics are important for the GATE exam as they help in analyzing data, making predictions, and handling uncertainty in engineering problems. (Topics 👇🏻)*

Random Variables
Hypothesis Testing
Probability Theorems
Conditional Probability
Probability Distributions
Correlation & Regression
Expectation and Variance
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Complex Variables are crucial for the GATE exam as they help solve complex engineering problems, especially in signal processing and control systems. (Topics 👇🏻)*

Residue Theorem
Analytic Functions
Contour Integration
Conformal Mapping
Taylor and Laurent Series
Cauchy’s Integral Theorem
Cauchy-Riemann Equations
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Vector Calculus is important for the GATE exam as it helps analyze vector fields and solve problems related to fluid flow, electromagnetism, and other physical systems. (Topics 👇🏻)*

Line Integrals
Stokes’ Theorem
Surface Integrals
Green’s Theorem
Scalar and Vector Fields
Gauss’s Divergence Theorem
Gradient, Divergence, and Curl
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Transform Techniques are crucial for the GATE exam as they simplify complex engineering problems, especially in signal processing, control systems, and communication. (Topics 👇🏻)*

Z-Transform
Fourier Transform
Laplace Transform
Inverse Transforms
Fast Fourier Transform
Discrete Fourier Transform
Appli.- Signal & System Analysis
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Numerical Methods are essential for the GATE exam as they provide computational techniques for solving complex mathematical problems in engineering. (Topics 👇🏻)*

Numerical Integration
Root-Finding Methods
Solving Linear Systems
Numerical Differentiation
Finite Difference Methods
Euler, Runge-Kutta Methods
Interpolation & Extrapolation
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Partial Differential are vital for the GATE exam as they model various physical phenomena in engineering, such as heat conduction, wave propagation, and fluid dynamics. (Topics👇🏻)*

Heat Equation
Wave Equation
Laplace Equation
Fourier Series Solutions
Elliptic, Parabolic, Hyperbolic
Boundary and Initial Conditions
Method of Separation of Variable