Mathematics
Mathematics is the study of numbers, quantities, shapes, patterns, and their relationships using logical reasoning and symbolic representation. It provides tools for solving problems in science, engineering, business, and everyday life.
Algebra
Study of symbols and rules for manipulating them to solve equations.
Calculus
A branch that focuses on change and motion, using derivatives and integrals to study rates of change and area under curves.
Geometry
The study of shapes, sizes, angles, and the properties of space; includes concepts like points, lines, circles, and polygons.
Linear Algebra
The study of vectors, vector spaces, linear transformations, and systems of linear equations.
Mathematical Logic
The study of formal systems, reasoning, and proofs, often using symbolic notation to express logical statements.
Number Theory
A branch of pure mathematics focused on the properties and relationships of numbers, especially integers.
Probability
The study of how likely events are to occur; used to predict outcomes in uncertain situations.
Set Theory
The branch of mathematics that studies collections of objects, known as sets, and their properties and operations.
Statistics
The science of collecting, analyzing, interpreting, and presenting data; often used to make informed decisions.
Trigonometry
The study of the relationships between the angles and sides of triangles, especially right-angled triangles.