Study of mathematical symbols and rules for manipulating them

Properties and relations of points, lines, surfaces and solids

Study of triangles and relationships between angles and sides

Mathematical study of continuous change and motion

Collection, analysis and interpretation of numerical data

Mathematical study of randomness and uncertainty

Vector spaces and linear mappings between such spaces

Equations involving derivatives of functions

Study of integers and their properties

Mathematical structures that are discrete rather than continuous

Application of mathematics to real-world problems

Algorithms for solving mathematical problems numerically