Mathematics, MS

On Campus

Mathematics

Whether you plan to enter the workforce or continue on towards a doctorate degree, the School of Engineering's MS program in Mathematics prepares you to succeed. Our focus is on the student: we offer you extensive individual attention and a curriculum tailored to your specific needs.

Our students have the freedom to pursue varied and exciting careers. Graduates can become software designers, biostatisticians, and industrial engineers. They can also excel as imaging scientists, aerospace mathematicians, and economists. Today, mathematicians find employment in a wide range of companies, including investment banks and government organizations, such as the National Security Agency.

Admission Requirements

You must have a bachelor’s degrees in mathematics for admission to this program. Students with degrees in other fields may be admitted; those with undergraduate deficiencies may be admitted at the discretion of departmental advisers. Before beginning graduate studies, you are expected to have completed a 1-year course in advanced calculus. Outstanding students are advised to apply for research fellowships, teaching fellowships, or partial tuition remission.

Courant Brooklyn Department of Mathematics home page

Curriculum

You must complete 30 credits in order to receive a Master of Science in Mathematics at the School of Engineering. Twelve of them will come from required courses. You can fulfill the remaining 18 credits by following 1 of the 3 options listed below.


3 Credits Linear Algebra I MA-GY7033
This course covers: Basic ideas of linear algebra: Groups, Rings, Fields, vector spaces, basis, dependence, independence, dimension. Relation to solving systems of linear equations and matrices. Homomorphisms, duality, inner products, adjoints and similarity.
Prerequisites: MA-UY 2034 and MA-UY 2114 or Graduate Standing
3 Credits Linear Algebra II MA-GY7043
This course continues MA-GY 7033. Topics covered: Basic concepts of linear algebra continuing with: Range, nullity, determinants and eigenvalues of matrices and linear homomorphisms, the polar decomposition and spectral properties of linear maps, orthogonality, adjointness and its applications.
Prerequisite: MA-GY 7033.
3 Credits Elements of Real Analysis I MA-GY6213
This course and its sequel MA-GY 6223 rigorously treat the basic concepts and results in real analysis. Course topics include limits of sequences, topological concepts of sets for real numbers, properties of continuous functions and differentiable functions. Important concepts and theorems include supremum and infimum, Bolzano-Weierstrass theorem, Cauchy sequences, open sets, closed sets, compact sets, topological characterization of continuity, intermediate value theorem, uniform continuity, mean value theorems and inverse function theorem.
Prerequisite: MA-UY 2122 or permission of adviser.
3 Credits Elements of Real Analysis II MA-GY6223
This course continues MA-GY 6213. The topics are integration, series of real numbers, sequences and series of functions and Fourier series. Important concepts and theorems include Riemann and Riemann-Stieltjes integral, fundamental theorem of calculus, the mean value theorem of integrals, Dirichlet test, absolute and conditional convergence, uniform convergence, Weierstrass test, power series, orthogonal functions and Fourier series.
Prerequisite: MA-GY 6213.


Choose 1 of the following. Please note that all options require a minimum of 15 credits (total) in mathematics courses.

Thesis Option

Electives: 12 credits
Master's Thesis: 6 credits

The thesis option includes a required examination of the thesis material by faculty advisers and certification that your work is satisfactory.

Examination Option

Electives: 18 credits, possibly with up to 9 from approved sub-specialties in other departments

This option includes a comprehensive oral examination before the degree is awarded. The examination will cover your program of study and will be scheduled towards the end of the semester in which you complete your work.

Examination Option + Designated Sub-Specialty Option

Electives: 18 credits, at least 9 of which are approved for specialization by the Mathematics Department

This option includes a comprehensive oral examination before the degree is awarded. The examination will cover your program of study and will be scheduled towards the end of the semester in which you complete your work.