

The Master of Arts in Mathematics is a rigorous and intellectually enriching program designed for students seeking advanced theoretical and applied knowledge in mathematical sciences. Spanning two years, the program develops a solid foundation in core mathematical disciplines such as algebra, real and complex analysis, topology, and differential equations. Students deepen their understanding of mathematical structures, proof techniques, and logic while gaining exposure to interdisciplinary applications relevant to fields such as economics, computer science, and data analysis.
Beyond theoretical mastery, the program promotes critical thinking, problem-solving, and abstract reasoning skills essential for research and professional practice. Students engage with mathematical modeling, computational tools, and contemporary challenges in pure and applied mathematics. With guidance from experienced faculty and opportunities for independent research, this program is an ideal pathway for those aspiring to continue to doctoral studies or to enter quantitative roles in academia, finance, industry, or government.
Semester 1 – Fundamental Theories
• Real Analysis I
• Abstract Algebra I
• Mathematical Logic
• Linear Algebra and Matrix Theory
Semester 2 – Advanced Concepts and Applications
• Real Analysis II
• Abstract Algebra II
• Topology
• Ordinary Differential Equations
Semester 3 – Specializations and Tools
• Complex Analysis
• Probability and Measure Theory
• Numerical Methods
• Mathematical Modeling
Semester 4 – Research and Integration
• Seminar in Mathematical Research
• Elective: Functional Analysis / Combinatorics / Number Theory
• Master's Thesis or Capstone Project
• Teaching Practicum or Internship (optional)
Graduates of the Master of Arts in Mathematics program are equipped for diverse roles in education, research, technology, finance, and analytics-driven industries. Common career paths include data analyst, quantitative researcher, mathematical modeler, actuarial analyst, and algorithm developer. The program also prepares students for doctoral programs and academic careers. With a solid foundation in abstract thinking and quantitative reasoning, graduates are highly valued for their ability to tackle complex problems, develop precise solutions, and contribute to innovation in both theoretical and applied domains. Organizations ranging from universities and think tanks to banks, insurance firms, and tech companies actively seek professionals with advanced mathematical expertise.
This program combines deep theoretical knowledge with applied mathematical tools, offering a well-rounded education tailored for both research and professional goals. Students benefit from small class sizes, close mentorship, and a curriculum that encourages both academic rigor and practical application. The program fosters a stimulating intellectual environment where students engage in collaborative problem-solving and original research. Its flexibility allows students to explore electives aligned with their interests, from algebraic geometry to computational mathematics. Whether aiming to continue in academia or pursue a career in data-driven fields, this Master of Arts in Mathematics offers the analytical framework, academic support, and career preparation to excel in today's increasingly quantitative world.
For further information, please contact the admissions office at:
Phone: +1 215 898 5000
Email: admissions@upenn.edu
Address: University of Pennsylvania, Philadelphia, PA 19104, United States