The demand for a professional labor force skilled in data analysis and statistical methods, alongside scientific computation and other applied mathematics techniques, and has grown tremendously over the last decade, and all indications are that such growth will further accelerate in the near future. The UB Department of Mathematics Master of Science (MS) Degree Program in Computational and Applied Mathematics provides students with the skills required to enter the 21st-century professional workforce, thus making them highly employable in various industries based locally, nationwide, and worldwide.

Students completing the MS program will have acquired highly marketable techniques involving networks, complex systems, machine learning and data analysis alongside more traditional topics such as probability, statistics, computational methods and other applied mathematics methods.

**The MS program includes three tracks:**

- Applied Probability and Statistics
- Computation (including high-performance computing, data-intensive computing, and data science)
- Complex Systems (including network science)

**Degree Requirements:**

The MS program comprises a total of thirty-three (33) credit hours, divided among: seven (7) required courses (21 credit hours); three (3) electives (9 credit hours), chosen based on the concentration area selected and student’s specific interests; and, a final project (3 credit hours).

**Required courses (21 credit hours; 3 credit hours for each course):**

**Applied Probability and Statistics Track**

Term 1: Fall 1

MTH 511: Probability Theory

MTH 537: Introduction to Numerical Analysis 1

MTH 543: Fundamental Applied Mathematics 1

(Elective 1)

Term 2: Spring 1

MTH 512: Introduction to Statistical Inference

MTH 538: Introduction to Numerical Analysis 2

MTH 548: Data-oriented Computing

(Elective 2)

Term 3: Fall 2

MTH 546: Stochastic Processes

MTH 589: Project Guidance

(Elective 3)

**Computation Track**

Term 1: Fall 1

MTH 511: Probability Theory

MTH 537: Introduction to Numerical Analysis 1

MTH 543: Fundamental Applied Mathematics 1

(Elective 1)

Term 2: Spring 1

MTH 512: Introduction to Statistical Inference

MTH 538: Introduction to Numerical Analysis 2

MTH 548: Data-oriented Computing

(Elective 2)

Term 3: Fall 2

MTH 667: High Performance Computing 1

MTH 589: Project Guidance

(Elective 3)

**Complex Systems Track**

Term 1: Fall 1

MTH 511: Probability Theory

MTH 537: Introduction to Numerical Analysis 1

MTH 543: Fundamental Applied Mathematics 1

MTH 555: Complex Systems

Term 2: Spring 1

MTH 512: Introduction to Statistical Inference

MTH 538: Introduction to Numerical Analysis 2

MTH 548: Data-oriented Computing

(Elective 1)

Term 3: Fall 2

MTH 589: Project Guidance

(Elective 2)

(Elective 3)

Electives (12 credit hours):

- Stochastic Processes (currently taught as a topics class, MTH 563 MTH 546)
- High Performance Computing (MTH 667)
- Advanced Topics in Numerical Analysis III (MTH 637)
- Data-analysis and Data-intensive Computing II (new MTH 648)
- Methods of Applied Mathematics III (new)
- Methods of of Applied Mathematics I (MTH 539)
- Mathematical Finance I (MTH 558)
- Mathematical Finance II (MTH 559)
- Network Theory (currently taught as a topics class, MTH 563 550)
- Complex Systems (new MTH 555)
- Large Deviation Theory and Rare Event Simulation (new MTH 644)
- Machine Learning (existing, SEAS CSE 574)

**Estimated time to completion: **The MS program can be completed in 1.5-years at twelve (12) credit hours per semester. This program only accepts students starting in the Fall Semester.

**Naoki Masuda,**PhDPhD, University of TokyoProfessor, Director of Graduate StudiesDepartment of MathematicsResearch Interests: Applied Mathematics — Applied Probability and Statistics, Dynamical Systems, Stability and Bifurcation, Stochastic Processes.

Jenny Russell

Assistant to the Graduate Director

Department of Mathematics

227 Mathematics Building, Buffalo, NY 14260-2900

Phone: 716-645-8782; Fax: 716-645-5039

Email: jennyr@buffalo.edu