Download Mathematics GATE Formulas

Algebra formulas

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Set identities - Union, Intersection, Complement,Difference, Cartesian product
Sets of numbers
Complex numbers - Multiplication, Division, Polar form, De Moivre's theorem, Roots
Factoring and product formulas
Solutions of algebraic equations - Quadratic, Cubic and Quartic Equation

Functions formulas

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Exponents Formulas
Roots Formulas
Logarithm Formulas
Trigonometry Formulas - Right-Triangle Definitions, Reduction Formulas, Identities, Sum and Difference Formulas, Double Angle and Half Angle Formulas, law of sines and cosines, area of triangle
Hyperbolic functions - Definitions, Derivatives, Hyperbolic identities, Inverse Hyperbolic functions


Limits and Derivatives

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Limits
Common Derivatives + Basic Properties and Formulas
Higher-order Derivatives - definitions, properties and important formulas



Integration formulas

Common Integrals
Integrals of Rational Functions
Integrals of Exponential Functions
Integrals of Logarithmic Functions

Integrals of Trigonometric Functions

Series formulas

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Arithmetic and Geometric Series

Power Series and Powers of Natural Numbers

Taylor and Maclaurin Series - definitions, binomial series, series for exponential, logarithmic, trigonometric and hyperbolic functions