# Math Courses

##### MAT 102 College Mathematics - 3 credits

A nontechnical presentation of mathematical topics of interest to the student of the arts, humanities or social sciences. The following are studied: elementary set theory, logic, number systems, networks, and measurement. Applications of mathematics to various disciplines and strategies for problem solving will be emphasized. A scientific calculator is required.

##### MAT 107 Mathematics for Health Care Professionals - 3 credits

An exploration of a wide range of mathematical applications to nursing and other health sciences. Topics include ratio and proportion, dimensional analysis, systems of measurement, calculation methodologies for oral and parenteral dosage forms, and insulin and heparin intravenous calculations. Critical thinking skills for solving problems that arise in the health care professions will be emphasized. While there is no prerequisite, a working knowledge of arithmetic operations using whole numbers, fractions, decimals, and percent’s is expected. A scientific calculator is required.

##### MAT 110 Probability and Statistics - 3 credits

An examination of the collection, organization, analysis and interpretation of data in the context of applications from such fields as business, education, political science, economics, psychology, sociology, nutrition and medicine. The importance of experimental design and sampling techniques are studied and stressed throughout the course. Elementary probability theory is introduced as well as the following theoretical distributions: binomial, normal, Student’s t, and chi-square. Linear regression techniques and correlation analysis are used to study bivariate populations. An algebra background is required as well as a scientific or statistical calculator.

##### MAT 140 Pre-Calculus - 3 credits

A preparation for the study of calculus with an emphasis on mathematical modeling for the sciences and other disciplines. Topics covered include exponents and radicals, polynomials, rational expressions, graphing in the coordinate plane, factoring, linear and quadratic equations, and inequalities. Functions are examined in depth both from a definitional and graphical perspective: linear and polynomial functions, composite, inverse, exponential, and logarithmic functions, their graphs, and applications are discussed. Basic trigonometric functions and identities are covered as well as their applications. Properties of limits are also introduced.

##### MAT 141 Calculus I - 3 credits

Differential calculus: Functional representation, limits, continuity, the definition of a derivative, differentiation formulas, rates of change in the natural and social sciences, and optimization. Mathematical modeling and applications to various disciplines will be emphasized. The student is expected to have proficiency in basic algebra and trigonometry.

##### MAT 142 Calculus II - 3 credits

Integral calculus: A study of definite and indefinite integrals with applications. Topics include Riemann Sums, antidifferentiation techniques, approximate integration, and improper integrals.

Prerequisite: MAT 141.

##### MAT 202 Mathematics for Elementary Education - 3 credits

Provides elementary education majors with experiences in becoming independent problem solvers while providing a solid foundation for teaching early mathematics. Topics include set theory, systems of numeration, number theory, properties of whole numbers, rational numbers, and real numbers, estimation, beginning geometry and measurement. Collaborative learning, discovery and refinement of presentation skills are stressed through in-class experiences.

##### MAT 208 Mathematical Modeling

This course serves as an introduction to the role of mathematics as a modeling tool. The modeling process, from construction of models, fitting data to models, and model verification will be discussed. Models will be written in Microsoft Excel and will span a variety of disciplines.

##### MAT 210 Mathematical Statistics and Probability - 3 credits

A calculus-based examination of the collection, organization, analysis and interpretation of data in the context of applications from such fields as business education, political science, economics, psychology, sociology, nutrition and medicine. The importance of experimental design and sampling techniques are studied and stressed throughout the course. Elementary probability theory and combinatorics are introduced as well as the following theoretical distributions: binomial, normal, Student’s t, and chi-square. Linear regression techniques and analysis of variance are also discussed.

Prerequisite: MAT 142.

##### MAT 211 Calculus III - 3 credits

Calculus III is the study of infinite sequences and series, tests for convergence, power series, Taylor and Maclaurin Series, and applications to various disciplines. Prerequisite: MAT 142.

##### MAT 212 Vector Calculus - 3 credits

Vector calculus is the study of how things change in multiple dimensions. In particular, multivariate calculus is the study of how single variable calculus generalizes to three space. The primary goal of this course is to establish a solid foundation of multivariate calculus. This includes mastering concepts involving partial derivatives, multiple integrals, and applications.

Prerequisite: MAT 142.

##### MAT 224 Discrete Mathematics - 3 credits

Provides work at the advanced level in number systems for computer arithmetic, sets and logic, combinatorics, probability, relations and functions and Boolean Algebra. The course serves as a transition to conceptual mathematical thinking, including the reading, understanding, constructing, and writing of proofs.

##### MAT 311 Linear Algebra - 3 credits

A study of Euclidean spaces, general linear spaces and inner product spaces. Topics include linear independence and dependence; bases and linear transformations; matrices and determinants with application to linear systems; change of basis; and representation of linear transformation and inner products.

Prerequisite: MAT 142.

##### MAT 313 Differential Equations - 3 credits

A study of differential equations. Topics include first- and higher-order differential equations, modeling with differential equations, series solutions, Laplace transform, Fourier series and boundary value problems.

Prerequisite: MAT 142 or permission of the instructor.

##### MAT 316 Modern Algebra - 3 credits

An introduction to the basic concepts of abstract algebra, including groups, rings and fields, congruence, and integral domains. Prerequisite: MAT 224.

##### MAT 320 Computing in Mathematical Research – 3 credits

Provides the computational background needed to develop and explore mathematical research questions. Difficult and open problems in mathematics will be presented. Students will explore the thought process required to compute different kinds of mathematical problems through programs such as Maple, SageMath, and Python.

Prerequisite: MAT 224 or permission of the instructor.

##### MAT 321 Numerical Analysis - 3 credits

An overview of numerical methods. Topics include methods for solving equations, systems of linear equations, approximation by spline functions, Bezier curves, initial value problems, Monte Carlo methods, simulation and error analysis. Extensive use of technology, including graphing calculator methods, spreadsheet software, and computer programming in MATLAB.

Prerequisite: MAT 142 or permission of the instructor.

##### MAT 324 Modern Geometry - 3 credits

A survey course in geometry for mathematics majors and minors and secondary teachers. May also be taken for general education credit by students with sufficient mathematical maturity. The first seven weeks of the course will focus on Euclidean geometry, including axiomatic structure, finite geometries, Euclidean geometry axioms, historical development and relationships between various geometries, transformations in two and three dimensions, groups of transformations, convexity, linear programming, geometry of polygons and circles, the nine-point circle, and constructions. The remainder of the course will be an introduction to non-Euclidean geometry and a study of symmetry, including Frieze patterns, wall paper patterns, rosettes, and Escher designs. A dynamic geometry software package, such as Geometer's Sketchpad, will be used as a tool to develop geometric concepts.

Prerequisite: MAT 224 or permission of the instructor.

##### MAT 325 Discrete Mathematics II – 3 credits

Provides advanced techniques in Combinatorics. Topics will include Graph Theory, Design Theory, Coding Theory, Game Theory, Set Theory, Algorithms, Posets, and Finite Geometry. This course will provide insight into both Pure Mathematics and Applied Mathematics, as most of these topics have direct real world applications.

Prerequisite: MAT 224 or permission of the instructor.

##### MAT 338 Number Theory - 3 credits

An introduction to a selection of topics from number theory. Topics include divisibility, prime numbers, congruences, quadratic residues, elementary Diophantine equations, as well as the history of number theory. Major theorems that will be discussed include Euclid's infinitude of primes, the Euclidean algorithm, the Fundamental Theorem of Arithmetic, the Chinese Remainder Theorem, Fermat's Little Theorem, Fermat's Last Theorem, and the Prime Number Theorem. Many of the theorems discussed will be proven rigorously.

Prerequisite: MAT 224 or permission of the instructor.

##### MAT 339 Complex Variables - 3 credits

Functions of a complex variable are studied. Topics include Laurent and Taylor series, residue theory, contour integration and conformal mapping.

Prerequisite: MAT 212 or permission of the instructor.

##### MAT 350 Advanced Calculus I - 3 credits

Topics covered include basic theorems of the field of real numbers, inequalities, sequential limits, function limits and the derivative. The student submits a comprehensive journal reflecting the material covered in this course. The journal should include the major definitions and theorems studied during the term with proofs of the theorems. Also included is all graded work from the course, solutions to assigned problems and interesting results discovered in outside readings or relevant computer work. Students are also required to conduct independent research on a level appropriate to a senior mathematics major and make an oral presentation on their topic. Prerequisites: MAT 211, MAT 212.

##### MAT 260/360 Special Topics in Mathematics - 1-3 credits

An opportunity for more advanced courses than the usual offerings in number theory, modern geometry, complex variables, real analysis, algebra, differential equations or topology, this course is given when student interest and faculty time permit. May be repeated for credit with a different topic.

##### MAT 390 Independent Study - 1-3 credits

An individual study project, usually of one term’s duration, under the direction of one or more members of the department faculty. An outline of the proposed study plan must be submitted before the beginning of the term in which the work is to be done. Prerequisite: A sufficient background in advanced mathematics related to the proposal.