Mathematics

MAT 111 INTRODUCTORY MATHEMATICS
An introductory course in basic algebra which covers the following topics: properties of real numbers, linear equations and inequalities, functions and graphs, polynomials, fractional algebra, radicals, and rational exponents. Not open to those who have completed any other mathematics course.
(Fall, Spring) Kozak/Three credits

MAT 114 ELEMENTARY FUNCTIONS
A survey of those topics in algebra, trigonometry, and analytic geometry which provide the background for the study of calculus. Topics to be covered include exponential and logarithmic functions, complex numbers and polynomial functions, trigonometry, plane analytic geometry, and systems of linear equations and inequalities. The department also offers sections of MAT114 with a specific emphasis on business or science applications; the content coverage may include topics in financial mathematics and matrices. Not open to those who have completed MAT 117 or 131. Prerequisite: MAT 111 or departmental permission through placement. Counts in the Core Curriculum Requirements as Mathematics Group A. If only one Mathematics course is taken to fulfill the Core requirement in Mathematics, it must be at this level or higher.
(Fall, Spring) Staff/Three credits

MAT 117 CALCULUS I
An introductory course in differential calculus. Topics to be covered include limits and continuity, the derivative and applications, and an introduction to integration. The department also offers sections of MAT 117 with a specific emphasis on business applications. Not open to those who complete MAT 131. Prerequisite: MAT 114 or department permission through placement.
(Fall, Spring) Staff/Three credits

MAT 118 CALCULUS II
The continuation of MAT 117. Topics to be covered include the definite integral and applications, elementary techniques of integration, partial derivatives, and first-order differential equations. The department also offers sections of MAT 118 with a specific emphasis on business applications. Not open to those who complete MAT 131 or MAT 132. Prerequisite: MAT 117.
(Fall, Spring) Staff/Three credits

MAT 131–132 ELEMENTARY CALCULUS I AND II (HONORS)
A more rigorous introduction to calculus for entering students with good backgrounds in mathematics. Recommended for students considering a major in mathematics. Topics include the real numbers, functions, limits, the derivative and applications, the integral and applications, and techniques of integration. The department also offers sections of MAT 131–132 with a specific emphasis on engineering applications. Not open to those who complete MAT 117 or MAT 118. Prerequisite: Departmental permission through placement. (131 in Fall, 132 in Spring)
Staff/Three credits each semester

MAT 150 NUMBERS AND OPERATIONS FOR EDUCATORS
In this course, students will investigate fundamental mathematics concepts associated with numbers, operations, and patterns. One of the major goals of the course is for students to develop deeper conceptual understandings of the mathematics concepts they will teach in the elementary and middle grades. Not only will students gain computational proficiency but also the ability to explain to students, in multiple ways, why mathematics concepts make sense. The course heavily emphasizes the use of open-ended problem-solving methods of teaching and learning to help students develop their own functional understanding of the major concepts. A significant focus of this course will be on problem solving, reasoning and proof, multiple representations, recognizing connections (across mathematics and other disciplines), and mathematical communication. The course is intended for students planning on pursuing a career in elementary or middle school education. As such, particular attention is given to understanding common misconceptions that children have when learning about specific mathematics concepts and considering the ramifications of these misconceptions for the development of effective classroom instruction. This course is a prerequisite for EDU 324: Mathematics Teaching in the Elementary Classroom. Prerequisite: MAT 114 or higher.
(Fall, Spring) Staff/Three credits

MAT 151 ALGEBRA, GEOMETRY, AND DATA ANALYSIS FOR EDUCATORS
In this course, students will investigate fundamental mathematics concepts associated with algebra, geometry, and data analysis. One of the major goals of the course is for students to develop deeper conceptual understandings of the mathematics concepts they will teach in the elementary and middle grades. Not only will students gain computational proficiency but also the ability to explain to students, in multiple ways, why mathematics concepts make sense. The course heavily emphasizes the use of open-ended problem-solving methods of teaching and learning to help students develop their own functional understanding of the major concepts. A significant focus of this course will be on problem solving, reasoning and proof, multiple representations, recognizing connections (across content areas and disciplines), and mathematical communication. The course is intended for students planning on pursuing a career in elementary or middle school education. As such, particular attention is given to understanding common misconceptions that children have when learning about specific mathematics concepts and considering the ramifications of these misconceptions for the development of effective classroom instruction. Prerequisite: MAT 114 or higher.
(Spring) Staff/Three credits

MAT 202 DISCRETE STRUCTURES
This course is an introduction to mathematical logic and discrete systems. Topics include Boolean algebra, mathematical proof, sets, relations, functions, induction, combinatorics, graph theory, and applications. Prerequisite: MAT 118 or MAT 132 must be completed or taken concurrently. (Fall) Staff/Three credits

MAT 203 LINEAR ALGEBRA
Linear systems of equations, matrix algebra, determinants, vector spaces, linear transformations, matrix representations of linear transformations, and applications. Prerequisite: MAT 118 or MAT 132 must be completed or taken concurrently.
(Spring) Staff/Three credits

MAT 204 NUMBER THEORY
Divisibility theory, prime factorization, congruences, Fermat’s theorems, the phi-function, Euler’s Theorem, and applications. Prerequisite: MAT 202.
(Spring 2016) Cioffari/Three credits

MAT 207 ACTUARIAL MATHEMATICS
Mathematical theory and practical application of compound interest, including the measurement of interest, annuity calculations, loan repayment, and security valuation. Stress laid on theoretical foundations, derivations, and proofs. Introduction to financial simulation. Prerequisite: MAT 202.
(Fall 2014) Katcher/Three credits

MAT 208 PROBABILITY THEORY
Combinatorial problems, conditional probability, dependence and independence, probability measures, distributions, and stochastic processes. Prerequisite: MAT 202.
(Spring 2015) Alfano/Three credit

MAT 231–232 INTERMEDIATE CALCULUS I AND II
A second-year course in calculus, designed to follow either MAT 118 or MAT 132. Topics to be covered include methods of integration, parametric curves, polar coordinates, sequences and series, power series, Taylor polynomials, vector geometry, vector functions, multivariable functions, and partial differentiation. Prerequisite: MAT 118 or MAT 132.
(231 in Fall, 232 in Spring) Kelton/Three credits each semester

MAT 331 CALCULUS OF VECTOR FUNCTIONS
A course in the calculus of vector-valued functions and of functions of several variables. Topics to be covered include curves and surfaces in Euclidean n-space; the derivative and the differential of a vector function; the chain rule; the inverse function theorem and the implicit function theorem; multiple integrals and the change of variable theorem for multiple integrals; the theorems of Green, Gauss, and Stokes. Prerequisite: MAT 232. (Fall 2014) Andersen/Three credits

MAT 332 REAL ANALYSIS
A course in classical real analysis. Topics to be covered include the real number system; convergence of sequences; limits and continuity of functions; differentiation; and integration. Prerequisite: MAT 232.
(Fall 2015) Staff/Three credits

MAT 351 MODERN ALGEBRA I
An introductory course in abstract algebra. This course will cover the theory of groups and the definitions of rings and fields. Prerequisite: MAT 202.
(Fall 2014) Alfano/Three credits

MAT 352 MODERN ALGEBRA II
The continuation of MAT 351. Topics include advanced group theory, and the theory of rings and fields. Prerequisite: MAT 351.
(Spring 2015) Staff/Three credits

MAT 353 ADVANCED EUCLIDEAN GEOMETRY
Theorems of Menelaus and Ceva. Euler line and nine-point circle. Cross-ratio, harmonic division, and orthogonality of circles. Inversive geometry. Theorems of Pappus, Desargues, and Pascal. Elementary transformations. Prerequisite: MAT 118 or MAT 132.
(Fall 2015) Brusard/Three credits

MAT 355 DIFFERENTIAL EQUATIONS
First and second order differential equations. Linear differential equations and linear systems. Existence and uniqueness theorems. Applications. Prerequisite: MAT 232 must be completed or taken concurrently.
(Spring 2015) Carlin/Three credits

MAT 356 NUMERICAL ANALYSIS
Roots of equations. Analysis of errors. Convergence. Interpolation and polynomial approximation. Numerical differentiation and integration. Solving linear systems, unstable matrices. The computer is used throughout the course. Prerequisite: MAT 118 or MAT 132.
(Spring 2016) Brown/Three credits

MAT 358 TOPOLOGY
An introductory treatment of both point-set and combinatorial topology. Topics to be covered include topological spaces and metric spaces, classification of surfaces, homology (mod 2), and map-coloring theorems. Prerequisite: MAT 202 and MAT 232.
(Spring 2016) Fry/Three credits

MAT 401 MATHEMATICS SEMINAR
The topic is determined by the instructor. Emphasis is placed on student oral presentations. Required course for senior mathematics majors.
(Fall) Carlin/Three credits

MAT 402 MATHEMATICS THESIS
Available only to highly qualified students. Under the direction of an individual instructor, each student will complete a thesis (either expository or research) on some advanced topic in mathematics.
(Spring) Staff/Three credits
NOTE: Semesters given with a year indicate courses that are offered in alternate years