Requirements & Courses

Major Requirements
 Thirtysix credits which must include:
 MTH121, 122, 210, 223, 310, and 421 or 431.
 Twelve other upperlevel Mathematics credits.
 Two required cognate courses:
 CSC120.
 A course, other than a Mathematics course, approved by the Department, with a Mathematics prerequisite numbered 113 or higher.
 The senior comprehensive examination includes three parts: successful completion of the Major Field Test in Mathematics, submission of an approved writing sample and an approved oral presentation.
 At least one statistics course is recommended.
 Students interested in graduate school in mathematics should complete both MTH421 and 431 and an honors project. Students interested in business and industrial careers should consider additional courses in Applied Mathematics, Computer Science and fields which apply mathematics in significant ways.
 Thirtysix credits which must include:

Minor Requirements
Twentyfour credits which must include MTH121, 122, 210 and at least two other upperlevel Mathematics courses. (MTH099, 101 and 202 do not count toward the Minor.)

Secondary Teaching Major Requirements
Same as for the Mathematics major except that the program must include MTH341, 411, and 421.

Secondary Teaching Minor Requirements
Twentysix or 28 credits in Mathematics that must include MTH120, 121, 122, 223, 411; 117 or 310; and 116 or 341.

Elementary Teaching Minor Requirements
Twentyfour credits which must include MTH110; 116; 120; 113 or 121; CSC118, 220; NMS114 and four additional credits at the MTH110 level or above. (MTH099, 101 and 202 do not count toward the Elementary Teaching Minor.)

Mathematical Sciences Major Requirements
Fiftytwo credits which must include MTH121, 122, 210, 223, 310, 336, 341, and 421 or 431; Computer Science 120 and 220, and 12 additional credits in upperlevel Mathematics or Computer Science courses, at least four credits of which must be Computer Science. Courses which combine applications and theory are encouraged (e.g. MTH211, 342, 391, 399 or 499; and CSC240, 310, 420, 430, 440, or 499). The senior comprehensive examination includes three parts: successful completion of the Major Field Test in Mathematics, submission of an approved writing sample and an approved oral presentation.

Restrictions
The following combinations of double majors are not permitted: Mathematical Sciences and Mathematics; and Mathematical Sciences and Computer Science.

Four credits from MTH 110 or higher, with the exception of practicum or independent study courses, count towards the Distributive Requirements in the Natural Sciences — Mathematics/Computation.
Courses
 MTH99.Basic Core Mathematics4Designed for students with very weak backgrounds in mathematics. Focuses primarily on skills development, including the arithmetic of real numbers, construction and interpretation of graphs, introduction to linear relationships and simple notations from statistics. Credits do not count toward graduation. Pass/fail only.
 MTH101.Basic Algebra4MTH099 or PlacementFundamentals of elementary algebra. Includes addition, subtraction and multiplication of polynomials, factoring of polynomials, the quadratic formula, graphing of equations, systems of equations and inequalities. May not be taken for credit by students who have successfully completed Mathematics 112 or a higher course.
 MTH110.Liberal Arts Mathematics4MTH101 or PlacementExploration of the beauty, extent and power of mathematics. Specific topics to be selected by the instructor.
 MTH111.Mathematics in Art & Nature4MTH101 or PlacementMathematics in the visual and musical arts and the plant and animal worlds. Topics include Fibonacci sequence, the golden section, Archimedean and logarithmic spirals, one and twopoint perspective, tessellations of the plane, and Escherlike constructions.
 MTH112.PreCalculus4Designed for students with strong high school mathematics backgrounds who plan to include a calculus course (Mathematics 113 or 121) in their programs. Investigates polynomial, rational, exponential, logarithmic and trigonometric functions. Explores the ideas of functions and graphs, with emphasis on concepts and skills central to calculus. Requires placement. May not be taken for credit by students who have successfully completed Mathematics 121, 122 or 210.
 MTH113.Brief Calculus4MTH112 or PlacementIntroduction to differential and integral calculus. Focuses on applications; theory held to a minimum. Examples from business and the natural and social sciences. Background in trigonometry not needed.
 MTH116.Elementary Statistics4MTH101 or PlacementIntroduction to modern elementary statistics and applications. Focuses on statistical reasoning and data analysis. Includes statistical design of experiments, estimation, hypothesis testing, regression, correlation and other selected topics.
 MTH117.Intro to Matrices & Linear Methods2Introduction to solving systems of linear equations, linear programming, elementary matrix theory, and the modeling of situations which are linear. Applications from business and natural and social sciences. Note: The content of this course is necessary background for Mathematics 310. Requires placement in MTH 112 or 4 years of high school math.
 MTH120.Discrete Mathematics4Introductory survey of propositional logic, functions, relations, counting methods and graph theory. Discussion of applications to computer science.
 MTH121.Calculus I4Introduction to the calculus of one variable. Includes limits and continuity, the derivative and applications, the integral and applications, infinite series and sequences.
 MTH122.Calculus II4MTH121Introduction to the calculus of one variable. Includes limits and continuity, the derivative and applications, the integral and applications, infinite series and sequences.
 MTH130.Beyond the 3rd Dimension4MTH110 or above or PermissionA reading and writing course about dimensions greater than three with emphasis on Euclidean fourdimensional space. In addition to a mathematical text, readings include works from other disciplines. The goal is to gain a better understanding of four (or more) dimensions through various ways of thinking, both mathematical and otherwise. Requires instructor permission.
 MTH180.Topics in Mathematics24Selected topics of current or historic importance. Prerequisites vary with topics selected.
 MTH192.Mathmatical Modeling4MTH113 or MTH121Development of various mathematical models used in business, social sciences and biological sciences; uses and limitations of models in practical situations. Some models use calculus and/or the computer. Computer programming not a prerequisite.
 MTH202.Mathematics for the Elementary Teacher4Overview and examination of the mathematical topics in the K8 curriculum. Includes arithmetic of integers, decimals and fractions; numeration systems; set theory; problem solving; elementary logic, elementary concepts in probability and statistics; elementary concepts in geometry; and an introduction to computing. Sophomore Standing. Education Major
 MTH202T.Mathematics for the Elementary Teacher4MTH101 or Placement; Sophomore Standing; EDC majorOverview and examination of the mathematical topics in the K8 curriculum. Includes arithmetic of integers, decimals and fractions; numeration systems; set theory; problem solving; elementary logic, elementary concepts in probability and statistics; elementary concepts in geometry; and an introduction to computing. Sophomore Standing. Education Major
 MTH*210.Multivariable Calculus4MTH122Continuation of Math 122. Includes functions of several variables, vectors, vectorvalued functions, threedimensional analytic geometry, partial differentiation and multiple integration.
 MTH*211.Differential Equations4MTH210Techniques and theory of solving ordinary differential equations. Includes series solutions, numerical methods and applications.
 MTH*220.Math Foundations of Computer Science4MTH120Topics in the mathematical foundations of computer science. Includes graph theory, logic, Boolean algebras, languages and automata, and the analysis of algorithms.
 MTH*221.Introduction to Cryptography4MTH122Introduction to the mathematics from several different branches of the subject including number theory, matrix algebra, probability, and statistics, all of which play a role in enciphering and deciphering secret messages.
 MTH*223.Mathematical Structures4MTH120 and CSC220 or MTH122Study of predicate logic, proof techniques, set theory, relations, functions, cardinality and various discrete structures.
 MTH*280.Topics in Mathematic24TAKE MTH122 or Permission.Introduces fundamental concepts of interest theory and how those concepts are applied in calculating present and accumulated values for various streams of cash flows as a basis for future use in: reserving, valuation, pricing, asset/liability management, investment income, and capital budgeting. Financial instruments such as derivatives will also be introduced. While the material is useful in understanding everyday financial dealings such as loans and annuities, it is especially important to those students considering careers in actuarial science, finance, and other areas that overlap math and business.
 MTH*280A.Introduction to Game Theory4An introduction to the theory of how to make optimal decisions using mathematical models. The “games” we will study are situations where each of several people, the “players,” have to choose among several welldefined possible choices, the “strategies,” which lead to known payoffs. Common solutions to zerosum and nonzerosum games, classic examples from economics, political science, and biology, among other fields, plus different approaches depending upon various levels of cooperation among the players, will be covered.
 MTH*310.Linear Algebra4MTH210; MTH117 strongly recommendedStudy of finitedimensional real vector spaces; kernel, dimension, basis, linear transformations and their matrices, and eigenvalues.
 MTH*323.Complex Analysis4MTH210Introduction to the theory of functions of a single complex variable. Analytic functions, complex series, Cauchy’s theorem and conformal mapping.
 MTH*336.Numerical Analysis4MTH122 and CSC120Analysis and implementation of numerical algorithms for approximating functions, derivatives and integrals, and for solving nonlinear equations, ordinary differential equations and systems of linear equations. Discussion of standard software packages and techniques for writing efficient and reliable mathematical software in Pascal and/or FORTRAN.
 MTH*341.Probability & Statistics I4MTH210Introduction to mathematical theory of probability and statistical inference. Includes data analysis and presentation, discrete and continuous probability models, random variables, mathematical expectation, generating functions, estimation, hypothesis testing, sampling distributions, regression, correlation, time series and other selected topics.
 MTH*342.Probability and Statistics II4MTH341Introduction to mathematical theory of probability and statistical inference. Includes data analysis and presentation, discrete and continuous probability models, random variables, mathematical expectation, generating functions, estimation, hypothesis testing, sampling distributions, regression, correlation, time series and other selected topics.
 MTH*351.Elementary Number Theory4MTH223Study of integers, including divisibility, the theory of prime numbers, congruences and solutions of equations in integers.
 MTH*380.Topics in Mathematics4Selected topics of current or historic importance. Prerequisites vary with topics selected.
 MTH*390.Combinatorics4MTH120 or 122Introduction to combinational theory. Topics include enumeration, recurrence, generating functions, graph theory and optimization.
 MTH*391.Introduction to Graph Theory4MTH122 or PermissionIntroductory survey of the major concepts and applications of graphs, digraphs and networks. Application areas include transportation, traffic flow, games and puzzles.
 MTH*411.College Geometry4MTH223Axiomatic systems, models, finite geometries, Hilbert’s axioms, independence of the parallel postulate, and introduction to nonEuclidean geometries with emphasis on hyperbolic geometry.
 MTH*413.Topology4MTH223Introduction to pointset topology. Includes topological properties of Euclidean spaces, abstract spaces and metric spaces. Explores connectedness, compactness, continuity and homeomorphisms.
 MTH*421.Abstract Algebra4MTH223 and 310Introduction to the theory of algebraic structures including elementary theory of groups, rings and fields.
 MTH*431.Advanced Calculus4MTH210 and 223Indepth examination of the calculus of one variable, including topology of the real line, sequences and series of functions.
 MTH*491.Mathematical Methods of Physics4MTH211; MTH310 recommendedSurvey of advanced mathematical topics for application in the physical sciences. Topics selected from Fourier series, transform calculus, partial differential equations, boundary value problems, complex variables and vector calculus. Highly recommended for students planning graduate study in the physical sciences or applied mathematics.
 MTH*499.Mathematics Independent Study14Requires instructor permission.
 MTH*500.Senior Thesis4Requires instructor permission.