MATH2250 Elementary Linear Algebra
MATH2310Applied Differential Equations
Math 2800 Math Major Seminar
Math 2850Putnam Team Seminar
Math 3000 Fundamental Concepts of Mathematics
Math 3200 Polynomials
Math 3310 Applied Differential Equations II
Math 3500 Applied Algebra
Math 3550 Introduction to Abstract Algebra
Math 4000 History of Mathematics
Math 4100 Mathematics in the Elementary School
Math 4150 Secondary School on Campus
Math 4200 Mathematics Analysis I
Math 4205 Mathematics Analysis II
Math 4230 Introduction to Complex Analysis
Math 4250 Mathematical Theory of Probability
Math 4300 Introduction to Mathematical Modeling
Math 4340 Numerical Analysis
Math 4400 Vector Calculus
Math 4440 Introduction to Partial Differential Equations
Math 4500 Linear Algebra and Matrix Theory
Math 4550 Introduction to the Theory of Numbers
Math 4600 Foundations of Geometry

MATH 2250: Elementary Linear Algebra (3 hrs)

Course Description: Studies linear equations and matrices, vector spaces, linear transformations, determinants, orthogonality, eigenvalues and eigenvectors.

Prerequisite: MATH 2200 or 2350.

MATH 2310: Applied  Differential Equations I (3 hrs)

Course Description: Combines with MATH 3310 for one-year series in applied mathematics. Includes solution of ordinary differential equations, integral transforms. Emphasizes construction of mathematical models arising in physical science and other areas.
Prerequisite: MATH 2205.

MATH 2800: Math Major Seminar (2 hrs)
 

MATH 2850: Putnam Team Seminar (2 hrs)

Course Description: Preparation for the William Lowell Putnam Mathematical Competition. Problem solving strategies and mathematical content appropriate for the Putnam Exam are emphasized with problem sets taken from previous Putnam or other international math contests. Offered S/U only.

Prerequisites: MATH 2200 and 2205

MATH 3000: Fundamental Concepts of Mathematics (3 hrs)

Course Description: The goal of MATH 3000 is to increase the student's level of mathematical maturity. Topics include, but are not limited to, informal logic, naive set theory, methods of proof including induction, functions, and the completeness of real numbers. Offered fall semester only.

Prerequisite: MATH 2250

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MATH 3200: Polynomials (3 hrs)

Course Description: Includes basic properties of polynomials and their roots together with connections to algebra, analysis, geometry, number theory and numerical analysis. Emphasizes unification and indicates evolutionary nature of mathematics Liberally intersperses historical notes. Offered spring semester only.

Prerequisite: MATH 2250

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MATH 3310: Applied Differential Equations II (3 hrs)

Course Description: Includes partial differential equations, Fourier series, boundary value problems, series solutions of ordinary differential equations, linear algebra, linear systems of equations and numerical methods.

Prerequisites: MATH 2210 and 2310

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MATH 3500: Applied Algebra (3 hrs)

Course Description: Shows how uses of algebraic structures in computer science and physical sciences has increased dramatically in recent years. Introduces some of these structures (partial orderings, groups, codes, fields and algebras) and their applications to other disciplines. Offered fall semester only.

Prerequisites: MATH 2250 and 2300 or MATH 3200 or 3000

MATH 3550: Introduction to Abstract Algebra (3 hrs)

Course Description: This course provides a basic introduction to groups, rings and fields, emphasizing an axiomatics development. Applications to number theory and geometry are included. Offered spring semester only.

Prerequisites: MATH 3200 or 3000

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MATH 4000: History of Mathematics (3 hrs)

Course Description: Acquaints students with development of mathematics through material usually covered in a first course in calculus. Emphasizes individuals who made significant contributions to mathematics. Employs both chronological and topical approaches. Offered spring semester only.

Prerequisites: MATH 2250 or 2210

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MATH 4100: Mathematics in the Elementary School (1-6 hrs)

Course Description: Acquaints prospective or experienced teachers of mathematics with newer developments in mathematics curriculum and materials. Emphasizes mathematical basis for courses in elementary mathematics curriculum; organization and design of mathematics programs for grades K-7; and design and construction of curriculum and/or materials to meet specific needs of the teacher or school district.

Prerequisites: MATH 1105 and consent of instructor

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MATH 4150: Secondary  School on Campus (1-4 hrs)

Course Description: This course provides prospective teachers opportunity to study mathematics as it relates to the secondary school. Topics may vary from semester to semester. Emphasizes current trends and concerns of secondary school mathematics education. Offered fall semester only.

Prerequisites: MATH 2205 and 3200 or 3000

Course Description: Combines with MATH 4205 for a one-year course providing rigorous treatment of one and two variable calculus. Topics include real number emphasizing the algebraic, order, and topological properties, series of numbers, continuous functions, differentiable functions, the Riemann-Stieltjes integral, series and sequences of functions, equicontinuity, functions of several variables, differentiable mappings of Taylor's theorem, inverse and implicit function theorems, integration theory. Offered fall semester only.

Prerequisites: MATH 2250 and 2210 and either Math 3200 or 3000

Course Description: A continuation of MATH 4200. Offered spring semester only.

Prerequisite: MATH 4200

Course Description: Develops the theory of functions of one complex variable. Topics include the algebra and geometry of complex numbers, functions of one complex variable, elementary functions, limits, continuity and differentiation. Differentiability leads to the Cauchy theorem, integeral theorems, power series, residue theory and boundary value problems. Offered spring semester only.

Prerequisite: MATH 2210

Course Description: A calculus-based introduction to the mathematical properties of random variables. Topics include discrete and continuous probability distributions, independence and conditional probability, mathematical expectation, multivariate distributions and properties of the normal probability law. Offered fall semester only. Cross listed with STAT 4250.

Prerequisites: MATH 2210 or 2355

MATH 4300: Introduction to Mathematical Modeling (3 hrs)

Course Description: This course is designed to introduce students to the applications of mathematical techniques in the study of various real-world problems. The course consists of the construction analysis, and interpretation of a variety of mathematical models which arise from problems. Offered fall semester only.

Prerequisites: MATH 2250 or 2310

MATH 4340: Numerical Analysis (3 hrs)

Course Description: Machine arithmetic, analysis of rounding errors, direct and iterative methods for linear systems of equations, iteration, interpolation, numerical differentiation and integration, numerical solution of differential equations. Programming exercises using a procedural language. Offered spring semester only. Cross listed with COSC 4340.

Prerequisites: MATH 2205 and COSC 1030

MATH 4400: Vector Calculus (3 hrs)

Course Description: Offers less rigorous treatment of multivariable calculus than MATH 4205. Includes sequences and series of functions, power series and Taylor's theorem, partial differentiation, implicit functions, Lagrange multipliers, double and triple integrals, vector fields, line and surface integrals and applications to fluid flow, divergence and gradients. Offered fall semester only.

Prerequisites: MATH 2250 or 3310 and 2210

MATH 4440: Partial Differential Equations I (3 hrs)

Course Description: Includes first-order partial differential equations, classification of second-order equations and canonical forms, elementary elliptical, hyperbolic and parabolic boundary value problems, transform methods, series solutions and Green's functions. Offered spring semester only.

Prerequisites: MATH 2210 and 2310

MATH 4500: Linear Algebra and Matrix Theory (3 hrs)

Course Description: Matrix theory is an important tool in statistics, physics, engineering, and applied mathematics in general. This course, a continuation of MATH 2250, studies the structure of matrices over the real and complex numbers. Topics included are canonical forms, factorization theorems, eigenvalues, and symmetric and Hermitian matrices. Offered fall semester only.

Prerequisite: MATH 2250

MATH 4550: Theory of Numbers (3 hrs)

Course Description: Topics include divisibility properties of integers, congruences, diophantine equations, quadratic residues, primitive roots, primes, representation of positive integers, and operations in the ring of arithmetic functions. Offered spring semester only.

Prerequisites: MATH 3200 or 3500

MATH 4600: Foundations of Geometry (3 hrs)

Course Description: This course gives an axiomatic introduction to Euclidean and non-Euclidean geometry. Topics include incidence, order, separation, and parallel postulates. Models for various axiom systems are constructed. Offered fall semester only.

Prerequisites: MATH 3200 or 3000