## Mathematics

- MTH 114Fundamentals of MathematicsA study of fundamental mathematical principles underlying the concepts of number and shape. Topics include number systems, number theory, measurement systems, geometry, and functions with emphasis on applications and problem solving.
- MTH 119Statistical AnalysisDesigned for all students interested in learning to summarize and analyze data. Topics include exploratory data analysis, sampling distributions, simulation, bootstrapping, randomization distributions, confidence intervals, hypothesis testing, regression analysis, sampling procedures, experimental design, analysis of variance, and chisquare analysis. R with Rstudio is introduced for statistical computing and analyzing realworld data.
- MTH 121Calculus IDifferentiation of algebraic and transcendental functions, application of the derivative to related rates, maxmin problems, L'Hpital's Rule, and graphing. Introduction to integration, the Fundamental Theorem of Calculus.
- MTH 122Calculus IIA continuation of MTH 121. Applications of the integral, integration techniques, numerical integration, infinite sequences and series, Taylor Series, and improper integrals.
- MTH 223Calculus IIIFocuses on extending techniques from onedimensional calculus to multivariable calculus including limits, continuity, derivatives, finding maxima and minima, integrals, and finding volumes. Topics include parametric equations, vectors, vectorvalued functions, curves and surfaces in space, line integrals, vector fields, divergence, curl, the fundamental theorem of line integrals, Green's theorem, and the Divergence theorem.
- MTH 226Linear AlgebraMatrices and systems of linear equations, determinants, real vector spaces and inner product spaces, linear transformations, eigenvalue problems, and applications.
- MTH 227Differential EquationsA study of the theory, methods of solution, and applications of differential equations and systems of differential equations. Topics will include the Laplace Transform, some numerical methods, and applications from the physical sciences and geometry.
- MTH 240Transition to Abstract MathematicsAn introduction to abstract mathematical thought with emphasis on understanding and applying definitions, writing arguments to prove valid statements, and providing counterexamples to disprove invalid ones. Topics may include logic, introductory set theory, and elementary number theory, but the focus is on the process of reasoning rather than any particular subject or subdiscipline. It is strongly recommended that mathematics majors complete this course by the end of the sophomore year.
- MTH 314Applied Mathematics and ModelingModels describing physical and economic conditions will be constructed, analyzed, and tested. The computer will be used in model verification.
- MTH 331ProbabilityA study of probability, discrete and continuous random variables, the binomial, normal, Poisson, chisquare, t, and F distribution.
- MTH 342Advanced GeometryAn axiomatic approach to Euclidean geometry. The exploration of nonEuclidean geometries, including hyperbolic geometry. The study of transformational geometries.
- MTH 345Combinatorics and Graph TheoryAn advanced course in discrete mathematics emphasizing counting and finite structures. Topics include fundamental laws of counting, generating functions, recursion, partitions, existence and optimization problems, graphs and digraphs, networks, the relationships between graphical invariants, lattices, Latin squares, design and coding theory, and Ramsey Theory.