The Mathematics program provides students with a rigorous foundation in pure and applied mathematics, emphasizing analytical thinking, problem-solving, and logical reasoning. The program covers a wide range of topics, including calculus, algebra, geometry, analysis, probability, and statistics, while integrating theoretical and applied approaches. Students gain practical skills in mathematical modeling, computational methods, and data analysis, preparing them to tackle complex problems in science, technology, finance, and research. The program encourages independent exploration, critical evaluation, and logical rigor, allowing students to develop a deep understanding of mathematical structures and their real-world applications.
Throughout the program, students cultivate strong analytical, problem-solving, and communication skills, essential for careers in mathematics, data science, finance, education, and research. Exposure to interdisciplinary approaches, including physics, computer science, economics, and engineering, ensures graduates are equipped to apply mathematical concepts to diverse challenges. By fostering independent inquiry, abstract reasoning, and applied research, the program prepares students to contribute meaningfully to academic research, technological innovation, and quantitative problem-solving in professional and scientific contexts.
Key information
Key Facts
- Program Title: Mathematics
- Degree Type: S. Bachelor
- Duration: 4 years
- Mode of Study: Full-time, On Campus
- Application Deadline: 01 January 2026
- Location: Columbia University, United States
- Field of Study: Mathematics
- Language of Instruction: English
Program Structure
Year 1 – Foundations in Mathematics
• Calculus I and II
• Linear Algebra and Geometry
• Introduction to Mathematical Proofs
• Academic Writing and Research Skills
Year 2 – Core Studies and Advanced Topics
• Multivariable Calculus and Differential Equations
• Probability and Statistics
• Abstract Algebra and Real Analysis
• Elective Modules in Applied Mathematics, Computer Science, or Economics
Year 3 – Advanced Analysis and Applied Methods
• Complex Analysis and Topology
• Numerical Methods and Mathematical Modeling
• Seminar in Mathematical Research
• Independent Study or Research Project
Year 4 – Independent Research and Capstone Project
• Advanced Topics in Mathematics
• Research Project or Thesis
• Applied Problem-Solving and Data Analysis
• Capstone Project Presentation
Career Opportunities
Graduates of this program are prepared for careers in data science, finance, academic research, technology, engineering, and education. They can work in research institutions, financial firms, technology companies, consulting firms, governmental agencies, and universities. The program equips students with strong analytical, computational, and problem-solving skills, enabling them to pursue roles in mathematical modeling, quantitative analysis, statistical research, software development, and academic instruction. Alumni may also engage in postgraduate studies, interdisciplinary research, or leadership positions in scientific, technological, and educational fields, providing versatile and competitive career pathways.
Why Choose This Program
This program combines theoretical rigor, applied mathematics, and problem-solving skills, giving students a comprehensive understanding of mathematical concepts and methods. Small classes and faculty mentorship provide personalized guidance, fostering independent research, analytical reasoning, and critical thinking. The curriculum emphasizes interdisciplinary applications, computational proficiency, and applied research, preparing graduates to address complex quantitative challenges across various sectors. By engaging with research projects, applied modeling, and abstract problem-solving, students gain the knowledge, tools, and experience necessary for impactful careers in mathematics, data science, finance, technology, education, and further academic study.
Contact Information
For further information, please contact the admissions office at:
Phone: +1 212 854 1754
Email: admissions@columbia.edu
Address: University of Columbia, Admissions Office, New York, NY, United States
