Mathematics provides the logical and analytical tools for tackling many of the important problems of our time. By its very nature, mathematics provides the means to break many problems into manageable pieces that can be analyzed and solved. In fact, mathematical approaches have been central to solving problems and modeling phenomena in a wide array of disciplines. Probability and statistical analysis are fundamental for mapping and analyzing the human genome. Advanced mathematical theories provide the keys to analyzing the risk of rare events, a basic problem of the financial markets. In physics, geometry finds applications to particle physics, to string theory, and to cosmology. In neuroscience, exciting new research into the structure and functioning of the brain relies heavily on the insights provided by mathematical modeling. These are but a few of the contemporary problems relying on mathematical analysis. Mathematical thinking is grounded in rigor and abstraction, but draws its vitality from questions arising in the natural world as well as applications to industry and technology.
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 NYUAD 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 seven required courses: Calculus; Linear Algebra; Multivariable Calculus; Ordinary Differential Equations; Real Analysis 1; Introduction to Probability and Statistics; Abstract Algebra 1.
Students select three electives. To attain greater depth in analysis, algebra or calculus, students choose Real Analysis 2, Abstract Algebra 2 or Vector Analysis. The second elective must be a course in applied mathematics, such as Discrete Mathematics, Numerical Methods, Cryptography, Introduction to Mathematical Modeling, or Introduction to Game Theory. The third elective may be any other course in mathematics.
Mathematics majors must also complete a minor in one of the following areas, which 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 in which math majors work closely with students from other areas to solve problems and answer questions.