Department Courses

Courses

MAT 040 - Pre-College Mathematics (4)

This course is designed to promote mathematical literacy among liberal arts students and to prepare students for GSR 104. The approach in this course helps students increase their knowledge of mathematics, sharpen their problem-solving skills, and raise their overall confidence in their ability to learn and communicate mathematics. Technology is integrated throughout to help students interpret real-life data algebraically, numerically, symbolically, and graphically. Topics include calculator skills, number sense, basic algebraic manipulation, solving linear equations, graphing of linear equations, and their applications. Access to mathematics instructional software is provided to support and enhance student learning. A graphing calculator is required.

MAT 045 - Elementary Algebra (4)

This course covers basic operations with algebraic expressions, solving equations in one variable, linear equations and their graphs, linear inequalities, exponents, multiplying and dividing polynomials, and factoring polynomials. Applications are included throughout. Access to mathematics instructional software is provided to support and enhance student learning. A graphing calculator is required.

MAT 055 - Intermediate Algebra (4)

This course covers rational expressions, systems of linear equations in two variables, radicals, and complex numbers, quadratic equations, graphs of quadratic functions, exponential and logarithmic functions. Applications are included throughout. Access to mathematics instructional software is provided to support and enhance student learning. A graphing calculator is required.

Prerequisite: MAT 045 or equivalent, or a satisfactory score on appropriate placement exam

MAT 101 - Introductory Mathematical Applications (3)

Linear, quadratic, exponential, and logarithmic functions. Ratios, percentages, matrices, and linear programming emphasizing applications to various branches of the sciences, social studies, and management. Credit will not be allowed if student has passed Math 130. This course will not be counted toward a major in the department.

Prerequisite: MAT 055 or equivalent.

MAT 102 - Introductory Probability and Statistics (3)

Basic concepts of probability and statistics, and applications to the sciences, social sciences, and management. Probability, conditional probability, Bayes Formula, Bernoulli trials, expected value, frequency distributions, and measures of central tendency. Credit will not be allowed for MAT 102 if student has previously passed MAT 130; 102 will not be counted toward a major in the department.

Prerequisite: GSR 104 or MAT 055 or the equivalent, or permission of the Mathematics Program Director.

MAT 125 - College Algebra (3)

This course provides a survey of the algebra topics necessary for Calculus. Topics covered include the analysis of graphs of basic functions, transformations of graphs, composition of functions, inverse functions, quadratic functions and their graphs, polynomial and rational inequalities, absolute value inequalities, radicals and fractional exponents, exponential and logarithmic functions and equations, exponential growth and decay problems, and the analysis of circles, parabolas, ellipses, and hyperbolas. MAT 125 consists of the first half of MAT 130. Passing both MAT 125 and 126 is equivalent to passing MAT 130.

Prerequisite: MAT 055 or the equivalent, or satisfactory score on appropriate placement exam

MAT 126 - Trigonometry (3)

This course covers the basic trigonometry needed for Calculus. Topics covered include angles, radian and degree measure, terminal points, coterminal angles, trigonometric functions and graphs, including phase shifts and vertical shifts of graphs, right triangle trigonometry, arc length, trigonometric identities, addition, subtraction, double-angle identities, Laws of Sines and Cosines, inverse trigonometric functions, and the trigonometric forms of complex numbers. MAT 126 consists of the second half of MAT 130. Passing both MAT 125 and 126 is equivalent to passing MAT 130.

Prerequisite: MAT 125 or equivalent

MAT 130 - Precalculus (4)

This course emphasizes the meaning and application of the concepts of functions. It covers polynomial, rational, exponential, logarithmic and trigonometric functions and their graphs, trigonometric identities, and sequences and series. Passing both MAT 125 and 126 is equivalent to passing MAT 130.

Prerequisites: A grade of C or above in MAT 055 or the equivalent, or a satisfactory score on appropriate placement exam.

MAT 140 - Discrete Structures (3)

Number systems, set theory, functions, combinatorics, algorithms and complexity, and graph theory. Applications to computer science are emphasized.

Prerequisite: MAT 055 or equivalent.

MAT 142 - Introductory Probability and Statistics for Science and Information Technology (3)

This is an introductory course in probability and statistics for science and information technology students. It covers basic concepts of probability and statistics, frequency distributions, graphical methods, measures of central tendency and variability, counting principles, Bayes' theorem, discrete and normal probability distributions, linear regression models, correlation, central limit theorem, sampling variability, confidence intervals, and hypothesis testing. Applications to different fields are included throughout.

Prerequisite: MAT 130 or the equivalent.

MAT 145 - Calculus for Business and Social Sciences (3)

This course emphasizes the applications of the following topics in Business and Social Sciences: Functions and their graphs, exponential and logarithmic functions, limits and continuity, and differentiation and integration in one and several variables. Credit will not be allowed if student has passed MAT 150. This course will not be counted toward a major in the department.

Prerequisite: MAT 130 or the equivalent

MAT 150 - Calculus I (4)

Limit processes, including the concepts of limits, continuity, differentiation, and integration of functions. Applications to physical problems will be discussed.

Prerequisite: A grade of C or better in either MAT 126 or MAT 130.

MAT 171 - Basic Concepts of Mathematics for Early Childhood and Elementary School Teachers I (3)

This course is the first part of a two-semester course sequence with MAT 172. This course is designed for prospective early childhood and elementary school teachers. The contents of this course include concepts and theories underlying early childhood and elementary school mathematics. The students will explore the "why" behind the mathematical concepts, ideas, and procedures. Topics include problem solving, whole numbers and numeration, whole numbers operations and properties, number theory, fractions, decimals, ratio and proportion, and integers.

Prerequisites: GSR 104 or the equivalent, or permission of the department chair. This course is not open to mathematics majors.

MAT 172 - Basic Concepts of Mathematics for Early Childhood and Elementary School Teachers II (3)

This course is the second part of a two-semester course sequence with MAT 171. This course is designed for prospective early childhood and elementary school teachers. The contents of this course include concepts and theories underlying early childhood and elementary school mathematics. The students will explore the "why" behind the mathematical concepts, ideas and procedures. Topics include rational and real numbers, introduction to algebra, Euclidean and solid geometry, statistics, and probability.

Prerequisites: MAT 171. This course is not open to mathematics majors.

MAT 195 - Special Topics (1-5)

Special topics in the discipline, designed primarily for freshmen. Students may enroll in 195 Special Topics multiple times, as long as the topics differ.

MAT 205 - Calculus II (4)

Applications of integration, inverse functions, the natural logarithm and exponential functions, and hyperbolic functions. Techniques of integration, sequences, series of numbers and functions, and Taylor series.

Prerequisite: A grade of C of better in MAT 150.

MAT 206 - Calculus III (4)

Vectors, partial derivatives, multiple integrals, line integrals, Green's Theorem, the Divergence Theorem, and Stokes Theorem. Applications to physical problems will be given.

Prerequisite: A grade of C or better in MAT 205.

MAT 210 - Mathematical Proofs (3)

A study of functional principles and proof techniques. Topics will include statements, consequence, proof, sufficient and necessary conditions, contraposition, induction, sets, relations, functions, cardinality, divisibility, prime numbers, congruence, Fermat's Theorem, counting principles, permutations, variations, combinations, binomial coefficients, graphs, planar and directed graphs, and graph coloring.

Prerequisite: A grade of C or better in MAT150

MAT 295 - Special Topics (1-5)

Special Topics in the discipline, designed primarily for sophomores. Students may enroll in 295 Special Topics multiple times, as long as the topics differ.

Prerequisite: Permission of the instructor

MAT 307 - Linear Algebra (3)

This course covers the fundamental concepts of vector spaces, linear transformations, systems of linear equations, and matrix algebra from a theoretical and a practical point of view. Results will be illustrated by mathematical and physical examples. Important algebraic (e.g., determinants and eigenvalues), geometric (e.g., orthogonality and the Spectral Theorem), and computational (e.g., Gauss elimination and matrix factorization) aspects will be studied.

Prerequisite: MAT 205 or permission of the Mathematics Program Director.

MAT 313 - Introduction to Probability (3)

This course is the first part of a two-semester sequence with MAT 314, with a focus on basic probability. It covers descriptive statistics, sample spaces and events, axioms of probability, counting techniques, conditional probability and independence, distribution of discrete and continuous random variables, joint distributions, and the central limit theorem.

Prerequisites: MAT 205

MAT 314 - Applied Statistics I (3)

This course is the second part of a two-semester course sequence with MAT 313, with a focus on applied statistics. It covers basic statistical concepts, graphical displays of data, sampling distribution models, hypothesis testing, and confidence intervals. A statistical software package is used.

Prerequisite: MAT 313

MAT 320 - History of Mathematics (3)

A survey of the history of mathematics from antiquity through modern times.

Prerequisite: MAT 205.

MAT 328 - Differential Equations (3)

Ordinary differential equations of first-order and first-degree, high order linear ordinary differential equations with constant coefficients, and properties of solutions.

Prerequisites: MAT 206, 307

MAT 340 - Introduction to Number Theory (3)

A study of properties of integer numbers. Divisibility of integers, primes and greatest common divisors, congruencies, Euclidean algorithm, Euler Phi-function, quadratic reciprocity and integer solutions to basic equations, Diophantine equations, and applications to cryptography and primality testing.

Prerequisite: MAT 210

MAT 348 - Introduction to Cryptography (3)

This is an introductory course in cryptography. It covers classical cryptosystems, Shannon's perfect secrecy, block ciphers and the advanced encryption standard, RSA cryptosystem and factoring integers, public-key cryptography and discrete logarithms, and linear and differential cryptanalysis.

Prerequisites: MAT 130 and MAT 140; or MAT 150; or permission of the instructor.

MAT 360 - Intro to Operations Research (3)

This course covers linear programming, the simplex algorithm, duality theory and sensitive analysis, network analysis, transportation, assignment, game theory, inventory theory, and queuing theory.

Prerequisites: MAT 140, or MAT 150; or permission of the instructor

MAT 361 - Numerical Analysis (3)

Numerical differentiation, integration, interpolation, approximation of data, approximation of functions, iterative methods of solving nonlinear equations, and numerical solutions of ordinary and partial differential equations.

Prerequisites: ITS 110 or the equivalent; MAT 206; or permission of the department chair

MAT 395 - Special Topics (1-5)

Special topics in the discipline, designed primarily for juniors. Students may enroll in 395 Special Topics multiple times, as long as the topics differ.

MAT 403 - Senior Capstone in Mathematics (3)

This course is for mathematics majors in their last year of the program, and is intended to introduce students to research and literature in mathematics. Students will produce two major products: (1) a literature review research paper on an approved topic of their choice; and (2) an ASL presentation based on their final research paper.

Prerequisite: Permission of the instructor.

MAT 410 - Foundations of Geometry (3)

A survey of Euclidean, non-Euclidean, and other geometries. The emphasis will be on formal axiomatic systems.

Prerequisite: MAT 150, 210; or permission of the instructor

MAT 414 - Applied Statistics II (3)

This course covers statistical techniques with applications to the type of problems encountered in real-world situations. These topics include categorical data analysis, simple linear regression, multiple regression, and analysis of variance. A statistical software package is used.

Prerequisite: A grade of B or above in MAT 314; or permission of the instructor.

MAT 434 - Abstract Algebra (3)

An axiomatic treatment of groups, rings, and fields that bridges the gap between concrete examples and abstraction of concepts to general cases.

Prerequisite: MAT 206, 210, 307, or permission of the the Mathematics Program Director.

MAT 445 - Introduction to Complex Analysis (3)

This is an introductory course in complex analysis. The algebra of complex numbers, analytic functions, contour integration, Cauchy integral formula, theory of residues and poles, and Taylor and Laurent series.

Prerequisite: MAT 206 and MAT 210, or permission of the instructor

MAT 451 - Internship (3)

This is a one-semester internship in which the student works for at least 60 hours in an applied mathematical or statistical setting under the supervision and guidance of the course instructor and on-site professionals in the field.

Prerequisite: Mathematics major and permission of the instructor.

MAT 455 - Advanced Calculus I (3)

This course is the first part of a two-semester course sequence with MAT 456. This course covers a theoretical approach to calculus of functions of one and several variables. Limits, continuity, differentiability, Reimann integrability, sequences, series, and contour integration.

Prerequisites: MAT 206, 210, 307

MAT 456 - Advanced Calculus II (3)

This course is the second part of a two-semester course sequence with MAT 455. This course covers a theoretical approach to calculus of functions of one and several variables. Limits, continuity, differentiability, Reimann integrability, sequences, series, and contour integration.

Prerequisite: MAT 455

MAT 495 - Special Topics (1-5)

Special topics in the discipline, designed primarily for seniors who are majors or minors. Students may enroll in 495 Special Topics multiple times, as long as the topics differ.

Prerequisite: Permission of the department chair

MAT 499 - Independent Study (1-3)

Intensive supervised study and research on topics of the student's selection.