# Program Structure

Mathematics majors acquire solid foundations in differential and integral calculus, as well as basic concepts of algebra and modern geometry. Students are introduced to classical subjects such as complex and real analysis, abstract algebra, number theory, and topology. Students interested in applications of mathematics to social and physical sciences may pursue courses in numerical methods, theoretical mechanics, probability, dynamical systems, and differential equations.

Mathematics majors at NYU Abu Dhabi attain a breadth of knowledge within the field, pursue their own interests in math electives, explore the role of mathematics as an applied discipline, and undertake a Capstone Project. The major offers a rigorous and broad foundation in mathematics through eight required courses:

- Calculus with Applications
- Foundations of Mathematics
- Linear Algebra
- Multivariable Calculus with Applications to Science and Engineering
- Ordinary Differential Equations
- Analysis 1
- Probability and Statistics
- Abstract Algebra 1

Mathematics majors who choose to take Multivariable Calculus with Applications to Economics (for example because they plan to major in both Mathematics and Economics) must take either Analysis 2 or Vector Analysis. Students select two electives. To attain greater depth in analysis or algebra, students choose Abstract Algebra 2, Vector Analysis, Analysis 2, or Complex Analysis. The second elective must be a course in applied mathematics, such as Numerical Methods, Cryptography, Mathematical Modeling, or Introduction to Game Theory.

Mathematics majors must also complete a minor or major in one of the following areas that use mathematics or mathematical modeling: Computer Science, Economics, or the Natural Sciences. Requiring Mathematics majors to complete a minor provides them with a basic knowledge of how math is applied to a specific discipline and is intended to foster the requisite capstone projects. Study abroad for students majoring in Mathematics occurs in the spring semester of the third year, during which the Program in Mathematics offers a special experience at an NYU global network site. The option for students majoring in Mathematics to enroll in a second semester abroad is competitive, granted by permission of the Program in Mathematics and the Dean of Science, and requires registration in the course Capstone Project in Math 1 at the student’s chosen site. Students must complete Calculus, Multivariable Calculus, Linear Algebra, and Foundations of Mathematics before studying abroad. While other required courses may be taken during study away, the program strongly recommends that not more than one mathematics elective be taken while studying away.