# Solved problems in mathematics - Sorted by theory

# Thinking Operations

## Number Theory

## Binomial theorem

## Combinatorics

## Sets

## Logic

## Graph Theory

# Algebra

## Exponents

## Roots

## Linear equations, inequalities and systems of equations

## Proportions

## Quadratic equations, inequalities and systems of equations

- Quadratic equations
- Quadratic inequations
- Equations Reducible to Quadratic Form
- Systems of Quadratic Equations

## Irrational Equations

## Exponential equations and inequalities

## Logarithm

## Mathematical induction

## Progressions

## Polynomials

## Complex numbers

- Addition-subtraction of complex numbers
- Multiplication of complex numbers
- Division of complex numbers
- Exponentiation of complex numbers
- Roots of complex numbers
- Complex problems

## Matrices

## Rational algebraic expressions

- Polynomials and operations with them
- Factoring Polynomials
- Operations with rational algebraic expressions

# Geometry

## Two-dimensional geometric shapes

## Three-dimensional geometric shapes

## Trigonometry

- Calculating trigonometric functions
- Simplifying trigonometric expressions
- Solving right triangles
- Trigonometric Equations

## Vectors

- Adding and subtracting vectors
- Scalar problem of vectors
- Vector problem of vectors
- Mixed problem of vectors

## Analytical Geometry 2D

# Calculus

## Important functions

## Function Transformations

## Limits

## Derivation

- Derivative of exponential functions
- Derivatives of trigonometry functions
- Derivatives of logarithmic functions
- Derivative of multiplication
- Derivatives of a fraction
- Derivatives of composite functions

## Integration

- Basic integrals
- Integration by substitution
- Integration by parts
- Integrals of rational functions
- Integrals of trigonometric functions
- Integrals of exponential and hyperbolic functions

# Probability and Statistics

## Probability

## Statistics

# Complex Problems

Keywords: Solved problems in mathematics - Sorted by theory