Mathematics

Caltech's mathematics program brings together faculty, researchers, and students who have a breadth of interests and expertise in the use and analysis of numbers, and who are interested in collaborating with colleagues across fields to solve some of the most complicated problems of our time. Members of the mathematics faculty conduct research at the intersection of fields ranging from mathematical physics to geometry and topology. They are renowned for their insights in the areas of algebra and mathematical logic; have won top honors for their work in analysis, number theory, and geometry; and have authored texts about mathematical analysis that are considered foundational to the field.

Course Content

• Introduction to Abstract Algebra
• Introduction to Discrete Mathematics
• Problem Solving in Calculus
• Oral Presentation
• How to Solve It
• Frontiers in Mathematics
• Senior Thesis
• Independent Reading
• Zhou, GDifferential Equations
• Differential Equations
• Introduction to Abstract Algebra
• Classical Analysis
• Introduction to Geometry and Topology
• Analysis
• Topics in Analysis
• Mathematical Logic and Axiomatic Set Theory
• Abstract Algebra
• Combinatorial Analysis
• Information Theory
• Algebraic Geometry
• Probability
• Representation Theory
• Algebraic and Differential Topology
• Number Theory
• Introduction to Continuous Logic
• Mathematical Finance

Requirements

TOEFL paper-based test score 550

TOEFL iBT® test 80

• Common Application with Caltech Questions
• $75 application fee or fee waiver (Common App waiver or Caltech-specific waiver)
• SAT with writing or ACT with writing
• SAT Subject Test in Mathematics Level 2
• 1 SAT science subject test: biology (ecological), biology (molecular), chemistry, or physics
• 1 math or science teacher evaluation
• 1 humanities or social sciences teacher evaluation
• Secondary School Report
• Academic transcripts

In addition to the two required teacher evaluations, you are welcome to submit an evaluation from a mentor or supervisor who knows you in a different context. If you have published a scientific research paper, you may submit the full paper to Caltech. Instructions on how to submit these papers will be included in your application confirmation email.

No work experience is required.

All undergraduate financial aid is awarded based on need. Annually, nearly 60 percent of undergraduates receive aid under Caltech's policy to provide all U.S. citizens and permanent residents with the support required to meet 100 percent of their families' demonstrated need.