Mathematics Major
Mathematics is the study of numbers, structures, patterns, and logical reasoning. It is a major within Natural Sciences & Math.
Mathematics is the study of numbers, shapes, structures, and patterns, and how they relate to one another through logical reasoning. Mathematicians ask questions like: What are the properties of different kinds of numbers? How can we describe and predict patterns? What rules govern shapes and spaces? The discipline develops skills in abstract thinking, problem-solving, and formal proof—showing not just that something is true, but why it must be true based on logical principles.
Students drawn to mathematics typically enjoy puzzles, patterns, and working through complex problems systematically. They often find satisfaction in the logical precision of the subject. The major typically begins with foundational courses in calculus, linear algebra, and discrete mathematics, which build essential skills and concepts. As students progress, they encounter more specialized areas and increasingly abstract material, and many gain experience applying mathematical thinking to real-world contexts through electives, independent projects, or research.
Typical coursework
Course requirements vary by school, but a Mathematics program commonly includes topics such as:
- Calculus
- Linear algebra
- Real analysis
- Abstract algebra
- Differential equations
- Probability
Most programs also include general-education requirements and, in many fields, a capstone project, internship, or research experience.
Degree levels
Mathematics is commonly offered at these levels:
- Bachelor's
- Master's
- Doctoral
Availability differs by institution, and program names can vary (for example, a Bachelor of Arts versus a Bachelor of Science track).
Common career directions
Graduates with a Mathematics background pursue a range of paths. Some roles related to this field of study include:
- Mathematician
- Data analyst
- Actuary
- Quantitative analyst
Many careers require additional steps beyond the major — such as a graduate degree, a license, or a certification — and many graduates work in fields unrelated to their major. What you study is one factor among many in where your career goes.
General career information is drawn from the U.S. Bureau of Labor Statistics Occupational Outlook Handbook. Career paths vary widely by person, school, and region; this is not a list of guaranteed jobs or earnings.
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Find degree programs →Frequently asked questions
What is a Mathematics major?
Mathematics is the study of numbers, structures, patterns, and logical reasoning. It is part of natural sciences & math, and combines foundational coursework with more focused study as you advance.
What courses do Mathematics majors take?
Coursework varies by school, but commonly includes topics such as calculus, linear algebra, real analysis, abstract algebra, and others, plus general-education requirements.
What can you do with a Mathematics major?
Graduates pursue a range of paths, including roles such as mathematician, data analyst, actuary. Many roles require additional steps such as a graduate degree, license, or certification. This is general information, not a guarantee of any job or salary.
What degree levels is Mathematics offered at?
It is commonly offered at the bachelor's, master's, doctoral level, though availability varies by institution.