Algebra is the branch of mathematics that deals with the study of mathematical symbols and the rules for manipulating these symbols.
Calculus is the branch of mathematics that deals with the study of change and motion and is used extensively in the fields of physics, engineering, and economics.
Geometry is the branch of mathematics that deals with the study of shapes, sizes, and properties of objects in space.
Number theory is the branch of mathematics that deals with the study of the properties of numbers, particularly integers.
Topology is the branch of mathematics that deals with the study of the properties of objects that are preserved under continuous transformations.
Combinatorics is the branch of mathematics that deals with the study of counting and arranging objects.
Differential equations are equations that involve one or more derivatives of an unknown function.
Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.
Logic is the branch of mathematics that deals with the study of reasoning, inference, and argumentation.
Applied mathematics is the branch of mathematics that deals with the application of mathematical concepts and techniques to real-world problems.