MATH — Mathematics: Catalog Entries

13 catalog course(s) on file. Undergraduate courses are numbered 100–499; graduate courses 500–699. See the department page for faculty and program information.

MATH 101 — College Algebra(3 cr.)

Review of algebraic techniques including functions, equations, and graphing needed for calculus and quantitative reasoning courses. Applications are drawn from business, science, and everyday contexts. Intended for students needing preparation before Calculus I.

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MATH 151 — Calculus I(4 cr.)

Introduction to limits, derivatives, and their applications to rates of change and optimization. Topics include differentiation rules, curve sketching, and an introduction to integration. Emphasis is placed on both computational fluency and conceptual understanding.

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MATH 152 — Calculus II(4 cr.)

Continuation of Calculus I with emphasis on techniques of integration, infinite series, and applications to volume and arc length. Sequences and power series are introduced as tools for approximation. Problem sets stress rigorous justification of results.

Prerequisite(s): MATH 151

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MATH 215 — Linear Algebra(3 cr.)

Study of vector spaces, matrices, linear transformations, and eigenvalues. Applications include systems of equations, computer graphics, and data analysis. Proof-writing is introduced alongside computational methods.

Prerequisite(s): MATH 152

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MATH 253 — Calculus III(4 cr.)

Extension of single-variable calculus to functions of several variables, including partial derivatives, multiple integrals, and vector calculus. Topics culminate in Green's, Stokes', and the divergence theorems. Applications are drawn from physics and engineering.

Prerequisite(s): MATH 152

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MATH 260 — Differential Equations(3 cr.)

Methods for solving ordinary differential equations, including first-order, linear, and systems of equations. Modeling applications from population dynamics, mechanics, and circuits are emphasized throughout. Numerical and qualitative approaches supplement analytic techniques.

Prerequisite(s): MATH 152

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MATH 310 — Discrete Mathematics(3 cr.)

Introduction to logic, set theory, combinatorics, and graph theory as foundations for computer science and advanced mathematics. Proof techniques including induction and contradiction are practiced extensively. Recurrence relations and counting arguments receive particular attention.

Prerequisite(s): MATH 151

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MATH 341 — Abstract Algebra I(3 cr.)

Introduction to groups, rings, and fields with emphasis on rigorous proof. Structural properties of algebraic systems are explored through homomorphisms and quotient structures. Students develop facility with abstract mathematical reasoning.

Prerequisite(s): MATH 215

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MATH 355 — Real Analysis I(3 cr.)

Rigorous treatment of the real number system, sequences, continuity, and differentiation. Emphasis is placed on constructing and writing formal proofs. Serves as a bridge to graduate-level mathematical study.

Prerequisite(s): MATH 253

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MATH 410 — Number Theory(3 cr.)

Study of divisibility, prime numbers, congruences, and Diophantine equations. Applications to cryptography and coding theory are introduced. Historical development of number theory is woven into the coursework.

Prerequisite(s): MATH 310

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MATH 495 — Senior Seminar in Mathematics(3 cr.)

Capstone course in which students research and present an original topic under faculty supervision. A written thesis and public presentation are required. Serves as the culminating experience for the mathematics major.

Prerequisite(s): Senior standing

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MATH 510 — Graduate Algebra(3 cr.)

Advanced study of group theory, ring theory, and module theory at the graduate level. Emphasis is on structure theorems and their applications to other branches of mathematics. Intended for students in the combined BA/MA program.

Prerequisite(s): MATH 341

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MATH 605 — Topics in Applied Mathematics(3 cr.)

Graduate seminar examining current research topics such as mathematical modeling, optimization, or numerical analysis. Content varies according to instructor expertise and student interest. Students complete an independent research paper.

Prerequisite(s): Admission to graduate program

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