1. Arithmetic  the study of numbers, subtraction, multiplication and division.
2. Algebra  the study of mathematical symbols and the rules for manipulating these symbols.
3. Geometry  the study of shape, size, relative position of figures, and the properties of space.
4. Trigonometry  studies relationships involving lengths and angles of triangles.
5. Topology  studies properties of space that are preserved under continuous deformations.
6. Progressions  sequence of numbers, when any two successive members of the sequence is a constant.
7. Averages  the sum of a list of numbers divided by the number of numbers in the list.
8. Fractions  represents a part of a whole or, any number of equal parts.
9. Percentages  a number or ratio expressed as a fraction of 100.
10. Analysis  the branch of mathematics dealing with limits, such as differentiation, integration, measure, infinite series, and analytic functions.
11. Statistics  the study of the collection, analysis, interpretation, presentation, and organization of data.
12. Combinatorics  the study of finite or countable discrete structures, patterns and forms.
13. Logic  the systematic study of the form of arguments.
14. Probabilities  the measure of the likelihood that an event will occur.
15. Game Theory  the study of mathematical models of conflict and cooperation between intelligent rational decisionmakers.
16. Informatics  the science of information and computer information systems.
17. Pure Mathematics  studies quantity, structure, space and change of numbers.
18. Calculus  the skill and ability to manipulate numbers.
