About the Program

Pure mathematics studies the basic concepts and structures that underlie all of mathematics. Traditionally, pure mathematics has been classified into two general fields: analysis and algebra. Analysis deals with the continuous aspects of mathematics and algebra is concerned with sets of objects and operations on these objects. Our undergraduate program is designed so that students will become familiar with each of these fields. Students may also explore other topics such as logic, number theory, and subjects within applied mathematics.

About the Mathematics Department

159 Science and Math Complex
1300 Elmwood Ave
Buffalo, NY 14222
Phone: (716) 878-5621
Fax: (716) 878-6107
https://mathematics.buffalostate.edu/

Admission Requirements

High school mathematics through Algebra 2 / Trigonometry Regents is recommended.

Learning Outcomes

Students will:

1. master a rich and diverse set of mathematical ideas and techniques from across the core courses of single and multivariable calculus, discrete mathematics, linear algebra, probability, modern algebra, and real and complex analysis.
2. understand the nature of proof and construct well-structured and valid mathematical arguments.
3. choose appropriate mathematical approaches for analyzing new situations and solving multi-step and open-ended problems.
4. communicate their mathematical ideas and results, both orally and in writing, with clarity and precision.
5. use appropriate technology.

Program Requirements

General Education 23 Requirements
33 credit hours 33

Mathematics Major Requirements (51 credit hours)
Required Courses (39 credit hours)
MAT 161 CALCULUS I 4
MAT 162 CALCULUS II 4
MAT 163 USING TECHNOLOGY TO EXPLORE CALCULUS I 1
MAT 164 USING TECHNOLOGY TO EXPLORE CALCULUS II 1
MAT 202 INTRODUCTION TO LINEAR ALGEBRA 3
MAT 263 CALCULUS III 4
MAT 264 USING TECHNOLOGY TO EXPLORE CALCULUS III 1
MAT 270 DISCRETE MATHEMATICS 3
MAT 300 TECHNIQUES OF PROOF 3
MAT 301 INTRODUCTION TO GROUP THEORY 3
MAT 381 PROBABILITY THEORY 3
MAT 411 COMPLEX VARIABLES 3
MAT 417 INTRODUCTION TO REAL ANALYSIS I 3
MAT 491 CAPSTONE RESEARCH IN MATHEMATICS 3

Electives Selected by Advisement (12 credit hours)
Select four from the following: 12
MAT 302 ABSTRACT ALGEBRA II
MAT 309 COMBINATORICS
MAT 315 DIFFERENTIAL EQUATIONS
MAT 316 INTERMEDIATE DIFFERENTIAL EQUATIONS
MAT 351 ELEMENTARY THEORY OF NUMBERS
MAT 370 APPLIED NETWORKS
MAT 382 TOPICS IN MATHEMATICAL STATISTICS
MAT 383 APPLIED STATISTICS I
MAT 401 INTRODUCTION TO COMPUTABILITY
MAT 404 APPLICATIONS OF LINEAR ALGEBRA
MAT 418 INTRODUCTION TO REAL ANALYSIS II
MAT 430 SET THEORY
MAT 431 MATHEMATICAL LOGIC
MAT 461 NUMERICAL ANALYSIS
MAT 471 INTRODUCTION TO TOPOLOGY
MAT 481 STOCHASTIC PROCESSES
MAT 484 APPLIED STATISTICS II
MAT 490 SEMINAR (1-3)
MAT 495 SPECIAL PROJECT (1-3)
MAT 499 INDEPENDENT STUDY (3-12)

All College Electives
36 credit hours 36

Total Credit Hours 120