All Maths Formulas

1. Algebra

- Factoring formulas

- Product formulas

- Roots formula

- Powers formula

- Logarithmic formula

- Useful equations

- Complex number

- Binomial theorem

2. Geometry

- Cone

- Cylinder

- Isosceles Triangle

- Square

- Sphere

- Rectangle

- Rhombus

- Parallelogram

- Trapezoid

3. Analytical Geometry

- 2-D coordinate system

- Circle

- Hyperbola

- Ellipse

- Parabola

4. Derivation

- Limits formula

- Properties of derivative

- General derivative formula

- Trigonometric functions

- Inverse Trigonometric functions

- Hyperbolic functions

- Inverse Hyperbolic functions

5. Integration

- Properties of Integration

- Integration of rational functions

- Integration of Trigonometric functions

- Integration of Hyperbolic functions

- Integration of Exponential and log functions

6. Trigonometry

- Basics of Trigonometry

- General Trigonometry formula

- Sine, Cosine rule

- Table of Angle

- Angle transformation

- Half/Double/Multiple angle formula

- Sum of functions

- Product of functions

- Powers of functions

- Euler's formula

- Allied angles table

- Negative angle identities

7. Laplace transform

- Properties of Laplace transform

- Functions of Laplace transform

8. Fourier

- Fourier series

- Fourier transform operations

- Table of Fourier transform

9. Series

- Arithmetic series

- Geometric series

- Finite series

- Binomial series

- Power series expansions

10. Numerical methods

- Lagrange, newton's Interpolation

- Newton's forward/backward difference

- Numerical integration

- Roots of equation

11. Vector calculus

- vector identities

12. Probability

- Basics of probability

- Expectation

- Variance

- Distributions

- Permutations

- Combinations

13. Beta Gamma

- Beta functions

- Gamma functions

- Beta-gamma relation

14. Z - Transform

- Properties of z- transform

- Some common pairs