Solved problems in mathematics - Sorted by theory
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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