The Master of Science in Mathematics prepares students for careers in mathematical sciences or those computer science related fields where a deeper knowledge of mathematical foundations is required.  It accommodates individuals with varying academic backgrounds and career objectives, including students interested in pursuing a Ph.D. in the mathematical sciences. The program offers an optional concentration in Discrete Mathematics and Cryptography. Upon completion of the program, students are expected to have broad knowledge and fundamental understanding of probability theory, real analysis, and modern algebra. The students gain a deeper understanding of advanced mathematics and applications of discrete mathematics to computer science and develop awareness of the interplay between mathematical disciplines and their relevance to science, computer science and engineering.

Concentrations

To gain a deeper understanding of advanced mathematics and applications of discrete mathematics to computer science, and particularly cryptography, the students are encouraged to pursue the concentration in:

• Discrete Mathematics and Cryptography

Program Objectives

The program prepares students to:

• apply analytical skills necessary to formulate and solve complex mathematical problems that are of contemporary relevance in the fields of pure mathematics, discrete mathematics, or related fields such as computer science.

• apply mathematical skills and knowledge to facilitate career advancement in education, industry, or to pursue more advanced study such as a Ph.D. degree in mathematics or mathematics-related fields.

• demonstrate broad-based skills and understanding of problem solving, ethics, social awareness, communication, and teamwork to excel as recognized leaders in their profession

Program Outcomes

By the time of graduation, students will be able to:

• identify, formulate, and solve broadly defined mathematical and or scientific problems by applying their knowledge of mathematics and other technical topics to mathematics related fields.

• demonstrate a comprehensive understanding of mathematical analysis, modern algebra, and advanced probability theory.

• demonstrate their understanding of current research in at least one of the concentration areas, or some other related mathematical discipline by presenting the corresponding literature and performing research on related projects.

• clearly communicate mathematical concepts orally and in writing.

• understand professional behavior and the ethics of using and quoting results.

• work efficiently in collaboration with others.

Concentration in Discrete Mathematics and Computation Program Outcomes

By the time of graduation, students will be able to:

• demonstrate a comprehensive understanding of discrete mathematics including graph theory, modern algebra and their applications to computer science.

• demonstrate a comprehensive understanding of foundations of classical computation and complexity theory, and classical and “quantum resistant” cryptographic protocols and their implementations.

• implement relevant algorithms in programming languages such as C++ and Python.