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