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Physical Sciences & Math

Mathematics

The study of patterns, structures, and logical proof.

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Content last reviewed: August 2026

Mathematics studies abstract structures, patterns, and logical systems, from calculus and linear algebra to more advanced topics like abstract algebra, real analysis, and topology. It builds rigorous, proof-based reasoning as much as computational skill.

Upper-level courses shift heavily toward proof-writing, constructing and defending logical arguments rather than just solving equations, and many programs let students specialize toward pure math, applied math, or a track combined with computer science or statistics.

Typical courses you might take

  • Calculus I, II, III
  • Linear Algebra
  • Differential Equations
  • Abstract Algebra
  • Real Analysis
  • Probability & Statistics
  • Discrete Mathematics
  • Senior Seminar or Thesis

Sample four-year plan

Illustrative, not a registration plan

One possible way these courses could be sequenced alongside general education and elective credit. Real programs vary in order, pacing, and prerequisites by school, use this to get a rough sense of the arc, not to plan actual registration.

Year 1 · Fall
  • Calculus I, II, III
  • +General education requirement
Year 1 · Spring
  • Linear Algebra
  • +General education requirement
Year 2 · Fall
  • Differential Equations
  • +General education requirement
Year 2 · Spring
  • Abstract Algebra
  • +Free elective
Year 3 · Fall
  • Real Analysis
  • +Free elective
Year 3 · Spring
  • Probability & Statistics
  • +Elective in the major (or minor coursework)
Year 4 · Fall
  • Discrete Mathematics
  • +Elective in the major (or minor coursework)
Year 4 · Spring
  • Senior Seminar or Thesis
  • +Capstone, thesis, or culminating project (common in many programs)

Skills you'll build

Rigorous logical reasoning and proof-writingAbstract problem-solvingQuantitative modelingPrecision and attention to detailPersistence with long, multi-step problemsClear mathematical writing and argumentationFoundational skills transferable to programming and data analysis
Explore more majors that build these skills →

This major might be a good fit if you...

  • Enjoys the 'why' behind math, not just the calculation
  • Comfortable with abstract thinking and formal proof
  • Patient and persistent with difficult, multi-step problems
  • Interested in fields that use math as a core tool (finance, CS, engineering, research)

Common minors & double-major pairings

Computer Science · Economics · Physics

Roles this major could lead to

Factual, day-to-day descriptions from our Career Role Encyclopedia, not a guarantee this major leads to any specific job.

Frequently asked questions

What is a Mathematics major?

The study of patterns, structures, and logical proof.

What courses do Mathematics majors take?

Typical coursework includes classes like Calculus I, II, III, Linear Algebra, Differential Equations, among others, see the full course list above for this major's typical lineup.

What skills do you build in a Mathematics program?

Mathematics coursework typically builds skills like Rigorous logical reasoning and proof-writing, Abstract problem-solving, Quantitative modeling, Precision and attention to detail.

Is Mathematics a good major for me?

It tends to be a good fit if signals like "Enjoys the 'why' behind math, not just the calculation" or "Comfortable with abstract thinking and formal proof" describe you. See the full "good fit if you..." list above for more.

What can you do with a Mathematics degree?

Majors in this field often go on to roles like Data Scientist, Actuary, Astronomer / Astrophysicist. See our Career Role Encyclopedia for more, a major shapes what you study, not a guarantee of any specific job.

What other majors pair well with Mathematics?

Common minor or double-major pairings include Computer Science, Economics, Physics.

How is Mathematics different from Statistics & Data Analytics?

They're related but distinct. Mathematics: The study of patterns, structures, and logical proof. Statistics & Data Analytics: Making sense of data and uncertainty using rigorous methods. Use the compare tool to see courses and skills side by side.

How long does it take to earn a Mathematics degree?

Most bachelor's degrees, including this one, are designed to be completed in about four years of full-time study. Exact timing depends on your school, course load, transfer credit, and any changes of major along the way.

This overview describes what the field of study typically covers. It's not a guarantee of course availability, job placement, or earnings, program details vary by school. See our disclaimer.

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