## 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**