Complex numbers
Numerical sets and complex numbers
Algebraic notation of complex numbers
Operations with complex numbers represented in algebraic form
Addition of complex numbers, examples
Subtraction of complex numbers, examples
Multiplication of complex numbers, examples
Division of complex numbers, examples
Exponentiation of complex numbers, examples
Modulus and arguments of a complex number
Modulus of a complex number, examples
Modulus of the difference of complex numbers
Arguments of a complex number, examples
Trigonometric notation of complex numbers, examples
Multiplication and division of complex numbers represented in trigonometric form
Multiplication of complex numbers, examples
Division of complex numbers, examples
Exponentiation and root extraction for complex numbers represented in trigonometric form
Exponentiation of complex numbers, examples
Extracting roots of complex numbers, examples
Polynomials
Methods of factorization of a polynomial: factoring out a common factor, abbreviated multiplication formulas, grouping
Abbreviated multiplication formulas
Dividing a polynomial by a polynomial
Dividing a polynomial by a polynomial by a column (angle)
Method of undetermined coefficient
Division of a polynomial by a binomial according to the Horner scheme
Using the Horner's scheme to decompose a polynomial by powers of a binomial
Calculating the value of a polynomial at a given point using Horner's scheme. Bezout's theorem
Factorization of polynomials
Factorization of a third degree polynomial
Equations with one variable
Equations with one variable, equivalent equations
General methods for solving equations
Algebraic equations
Linear equations
Quadratic equations, biquadratic equations
Solving incomplete quadratic equations
Solving complete quadratic equations
Vieta's theorem for solving quadratic equations
Solving of biquadratic equations
Cubic equations
Solving cubic equations by factorization
Solving symmetric cubic equations
Cardano's formula for solving cubic equations
Quartic equations
Solving equations of the fourth degree by factorization
Solving of symmetric equations of the fourth degree
The Ferrari's method for solving equations of the fourth degree
Equations of higher degrees
Fractional-rational equations
Equations with modulus
Irrational equations
Transcendental equations and inequalities
Trigonometric equations
Exponential equations
Logarithmic equations
Solving combined equations and inequalities
Systems of equations
Systems of two linear equations with two unknowns
Systems of three linear equations with three unknowns
Cramer's formulas for solving systems of linear equations
Solution of systems of linear equations by Gauss method
Functions
Linear
Quadratic
Cubic
Power
Hyperbolic
y = √x
Trigonometric
Exponential
Logarithmic
