Algebraic equations. Particular instances of algebraic equations: linear, quadratic, cubic, quartic.
Systems of linear equations and inequalities. Systems of non-linear equations and inequalities.
Equations and inequalities with absolute value. Equations and inequalities with integer part and fractional part. Diophantine equations.
Parametric equations, inequalities and their systems.
The course introduces different approaches to solving various types of equations, inequalities and their systems in real and complex numbers.