## Mathematics, basic syllabus (MAB)

**Mathematics, basic syllabus (MAB)**

Compulsory courses are studied in numerical order.

**Compulsory courses**

**xLmay01 Numbers and Number Sequences**

The course topics includes: real numbers, basic and percentage calculations, the graphing and interpretation of functions, numbers sequences and their sums and the link between logarithms and powers. Graded assessment.

**xLmab02 Expressions and Equations**

The course deals with linear dependence and proportionality between the variables, formatting word problems into equations, graphical and algebraic solutions of equations and paired equations, interpretation and evaluation of solutions, second degree polynomial functions and solving second order equations. Graded assessment.

** xLmab03 Geometry**

The course deals with the similarity of shapes, trigonometry of right-angled triangles, Pythagoras’ theorem and the inverse of the Pythagorean expression, the determination of the area and volume of shapes and figures, and the use of geometrical methods in the coordinate axis. Graded assessment.

**xLmab04 Mathematical Models**

The course studies linear and exponential modelling, solving power equations, solving exponential equation using logarithms and mathematical models of number sequences. Graded assessment.

**xLmab05 Statistics and Probability**

The core content of the course is to define the parameters of continuous and discrete statistical distributions, the concepts of regression and correlation, observation and abnormal observation, combinations, predictions, the concept of probability and its use in illustrative models. Graded assessment.

**xLmab06 Economic Mathematics (= xLmaa17)**

The course introduces the concepts of business life and develops mathematical skills in the planning personal finances. The course teaches how to calculate index numbers, costs (expenses), monetary transactions, loans and taxes. The course will and deepen the understanding of percentages and solutions of equations to model economic phenomena by means of number sequences and sums. The course provides a good foundation for postgraduate studies, such as entrepreneurship and economics. The course studies will use of technical aids for calculating and solving practical applications. Graded assessment.