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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.

High school mathematics through Regents Course III is recommended.

**Intellectual Foundations Requirements 30–36 cr**

**Total Required Credit Hours in Mathematics 51 cr**

**A. Required Courses (38 cr)**

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

MAT 263 Calculus III (4)

MAT 264 Using Technology to Explore Calculus III (1)

MAT 270 Discrete Mathematics I

MAT 300 Techniques of Proof

MAT 301 Fundamentals of Abstract Algebra

MAT 381 Probability Theory

MAT 411 Complex Variables

MAT 417 Introduction to Real Analysis I

MAT 491 Capstone Research in Mathematics

**B. Electives Selected by Advisement (12 cr)***Select four courses from the following:*

MAT 302 Abstract Algebra II

MAT 309 Discrete Mathematics II

MAT 315 Differential Equations

MAT 316 Intermediate Differential Equations

MAT 318 Mathematical Modeling

MAT 319 Mathematical Biology

MAT 322 Modern Geometry

MAT 351 Elementary Theory of Numbers

MAT 366 Computational Tools for Applied Mathematicians II

MAT 370 Applied Networks

MAT 382 Mathematical Statistics

MAT 383 Applied Statistics I

MAT 390 Operations Research

MAT 401 Introduction to Computability

MAT 404 Applications of Linear Algebra

MAT 418 Introduction to Real Analysis II

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

MAT 495 Special Project

MAT 499 Independent Study

**All College Electives 33-39 cr**

**Total Required Credit Hours 120 cr**

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brusehm@buffalostate.edu

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