This is an entry-level course appropriate for most college students that emphasizes mathematical reasoning in everyday experiences. The geometry unit deals with form, growth, size, and patterns found in living populations and created art. The mathematics of social choice studies techniques of decision-making, voting, and optimizing alternatives. Operations research discusses algorithms for scheduling, planning, and creating networks. Standard statistical measures also are studied and interpreted. This course is designed for any student who does not need the technical vocabulary of trigonometry or analytic geometry. A student may not receive credit for Applied Mathematics after receiving credit for any course numbered 1120 or above.

An introduction to set theory, problem-solving, geometry, algebra, probability and statistics, with selected applications for each. The course satisfies teacher certification requirements.

Methods of determining averages, variability, and correlation, and of testing the significance of the statistics, prediction, and distribution-free statistics. A student may not receive credit for Elementary Statistics after receiving credit for any other statistics course.

The main topics covered are Boolean algebra, logic, sets, graph theory, combinatorics, number systems, probability, coding, information theory, recurrence relations, and algorithms. This course cannot be taken for credit after MTH 1240.

A study of polynomial, rational, trigonometric, and exponential functions and their applications. The nature of functions, equation-solving, solution estimation, graphing, and mathematical modeling will be emphasized. A student may not receive credit for Functions, Graphs and Analysis after receiving credit for any other course numbered 1120 or above.

A study of coordinate systems; straight lines and conic sections; theory of limits; differentiations of algebraic functions; applications to slopes and curves; and maxima and minima.

A study of transcendental functions, infinite series, mean-value theorem, polar coordinates, integration, and application of integration. Students completing this course with a grade of C or better will be awarded credit for MTH 1220.

A study of logic, proofs, and sets; graphs, digraphs, trees, colorings, and traversal; permutations and combinations; binomial coefficients; and recurrence relations.

A course of variable content for lower-level students. Recent topic offerings have included logic, problem solving, and actuarial science. Topics will not duplicate material covered in other courses.

A study of common types of ordinary differential equations, their solutions and applications, singular solutions, and an introduction to mathematical modeling.

An examination of linear equations, matrices, vector spaces, transformations, and eigensystems.

An introduction to the branches of geometry including plane, solid, higher dimensional, fractal, transformational, non-Euclidean, and combinatorial.

A study of curvilinear motions, solid analytic geometry, vectors, partial derivatives, and multiple integration. Students completing this course with a grade of C or better will be awarded credit for MTH 1120 and 1220 if not previously taken.

Course Description: This course is designed to help students prepare for a career in the actuarial sciences, and to help students learn material covered on the first actuarial examination. Topics will include limits, series, sequences, derivatives of single and multivariate functions, integrals of single and multivariate functions, general probability, Bayes' Theorem, univariate probability distributions, and multivariate probability distributions.

A study of differential equations, partial differential equations, multiple integration, Laplace transforms, Fourier transforms, and vector analysis. Most spring semesters.

An introduction to discrete probability including combinations and permutations; conditional probability and independence; random variables; and expectation.

A study of groups, Lagrange's theorem, normal subgroups, fields, rings, integral domains, subrings, ideals, and vector spaces.

Data collection and analysis; continuous and discrete distributions; Central Limit Theorem; sampling theory; confidence intervals and estimation theory; regression analysis and correlation including multiple linear regression models and hypothesis testing and confidence intervals in regression models; chi-square test of independence and other non-parametric statistical tests; time series models and forecasting, linear time series models, moving average and autoregressive models, estimation, data analysis, index numbers, and forecasting with time series models, forecasting errors and confidence intervals, and application of statistics to significant real-world data. This course carries VEE credit for actuaries.

Fundamental concepts of analysis, limits, continuity, differentiation, and integration. Major topics include the real number system, sequences, series, the Riemann integral, and the Generalized Riemann integral.

A continuation of Abstract Algebra I, concentrating on topics in ring theory and field theory, including applications. Specially arranged, odd numbered years.

This course will serve as an introduction to the topology of Euclidean spaces and manifolds, with an emphasis on basic sets (disks, spheres, annuli, Cantor sets) in lower dimensional space. Continuous maps, homeomorphisms, and embeddings will be studied in conjunction with connectedness and paths, convergence and compactness, manifolds, homotopy, contractible sets, the Brouwer fixed-point theorem, and covering spaces. At the end of the course, each student will complete an individual project based on a research article that examines one of the major areas (e.g. physical knot theory) in the modern study of topology.

This course is an introduction to complex analysis, including the Cauchy-Riemann Equations, Cauchy's Theorem, residue theory, and conformal mapping.

An examination of topics such as topology, number theory, dynamical systems, game theory, history of mathematics, and logic.

A study of teaching methods and instructional materials in mathematics. Special attention is given to the selection and organization of subject matter and learning activities. Field work required.

Students will engage in mathematics research. Technical oral and written communication skills will be emphasized. Students will produce a high-quality senior thesis as part of this course.

Independent study in a topic of interest in mathematics which does not duplicate any other course in the regular course offerings.

An opportunity to conduct research in mathematics, culminating in a research paper.

Students should register for MTH 4990 during the semester in which they plan to complete their senior thesis.