An introduction to significant ideas of mathematics, intended for students who will not specialize in mathematics or science. Topics are  chosen to display  historical perspective, mathematics as a universal language and as an art and  the logical structure of mathematics. This  course is intended for non-majors; it  does not count toward either the major or minor in mathematics and students  who have passed a calculus course. 

An introduction to statistics with emphasis on applications. Topics include the description of data with numerical summaries and graphs, the production of data through sampling and experimental design, techniques of making inferences from data such as confidence intervals and hypothesis tests for both categorical and quantitative data. The course includes an introduction to computer analysis of data with a statistical computing pakage.
Counts toward the Applied Statistics minor. Required for the Neuroscicne major (cellular track).

This course explores the connections between mathematics and art: how mathematics can provide a vocabulary for describing and explaining  art; how artists have used mathematics to achieve artistic goals, and how art has been used to explain mathematical ideas.  This course is  intended for non-majors; it does not count toward either the major or minor in mathematics.

A development of skills and concepts necessary for the study of calculus. 
Topics include the algebraic, logarithmic, exponential and trigonometric functions; Cartesian coordinates and the interplay between algebraic and geometric problems; functional equalities and inequalities and their graphs. This course is intended for students whose background in  high school was not strong enough to prepare them for calculus; it does not count for distribution credit or for the major or minor in  mathematics.     Students who have passed a calculus course (Math 135, 136 or 205) may not receive course credit for Math 134. Offered fall semester only.        

An introduction to the subject, intended primarily for students in mathematics, science, economics or basic engineering. Topics include limits;  continuity and differentiability of real-valued functions of a single variable; derivatives; graphing and optimization problems; anti-differentiation; applicatins.

A continuation of Calculus I.  Topics include Riemann sums and the definition of the definite integral; techniques of integration; approximation techniques; improper integrals; applications and related topics. 

A direct continuation of Math 205, the main focus of this course is the study of smooth vector fields on Euclidean spaces and their associated line and flux integrals over parameterized paths and surfaces. The main objective is to develop and prove the three fundamental  integral theorems of vector calculus: the Fundamental Theorem of Calculus for Line Integrals, Stokes' Theorem and the Divergence  Theorem. 

A continuation of Math 113 intended for students in the physical, social or behavioral sciences. Topics include simple and multiple linear regression, model diagnostics and testing, residual analysis, transformations, indicator variables, variable selection rechniques, logistic regression, and analysis of variance. Most methods assume use of a statistical computing package.

A study of finite dimensional linear spaces, systems of linear equations, matrices, determinants, bases, linear transformations, change of bases and eigenvalues.

An introduction to the statistical design and analysis of experiments.  This course will cover the basic elements of experimental design including randomization, blocking and replication.  Topics will include completely randomized design, randomized complete block design, Latin Square and factorial designs.  Analysis of variance techniques for analyzing data collected using these methods will be extensively discussed. Through use of a statistical softwae package will be incorporated into the course.
Prerequisite:  Math 113 or Economics 200 or permission of instructor.

An introduction to the various methods of solving differential equations. Types of equations considered include first order ordinary equations and second order linear ordinary equations. Topics covered may include the Laplace transform, numerical methods, power series methods, systems of equations and an introduction to partial differential equations.    Applications are presented.            

This course is designed to introduce students to the concepts and methods of higher mathematics. Techniques of mathematical proof are emphasized.  Topics covered include set theory, relations, functions, countable and uncountable sets and additional topics as selected by the instructor.

A rigorous introduction to fundamental concepts of real analysis. Topics may include: sequences and series, power series, Taylor series and  the calculus of power series; metric spaces, continuous functions on metric spaces, completeness, compactness, connectedness; sequences   of   functions, pointwise and uniform convergence of functions. 
Prerequisites: Math 205 and 280. Offered fall semester.

Topics include algebra, geometry and topology of the complex number field, differential and integral calculus of functions of a complex variable.  Taylor and Laurent series, integral theorems and applications. 
Prerequisites: Math 205 and Math 280.  Offered spring semester. 

An introduction to the abstract theory of groups. Topics include the structure of groups, permutation groups, subgroups and quotient groups. 

An introduction to the abstract theory of algebraic structures including rings and fields. Topics may include ideals, quotients, the structure of  fields, Galois theory. 
Prerequisite: Math 280.
Offered Fall Semester.               

An introduction to modern mathematical logic, including the most important results in the subject. Topics include propositional and predicate  logic; models, formal deductions and the Gödel Completeness Theorem; applications to algebra, analysis and number theory; decidability  and the Gödel Incompleteness Theorem. Treatment of the subject matter is rigorous, but historical and philosophical aspects are discussed. 

Graph theory deals with the study of a finite set of points connected by lines.  Problems in such diverse areas as transportation networks,  organizational structure, chemical bonds, allocation and distribution of good and services, genealogical family trees, group structure in  psychology and sociology, tournaments and electrical circuit analysis can be formulated and solved by the use of graph theory.   Also offered as CS 318.

Following Math 325, this course deals with the theory of parameter estimation, properties of estimators, and topics of statistical inference including includingf confidence intervals, tests of hypotheses, simple and multiple linear regeression, and analysis of variance.
Prerequisite: Math 325.

This course continues the study of differential equations from Math 230.  The study considers higher order equations, systems of equations, Sturm-Liouville problems, Bessel’s equation and partial differential equations.  Existence and uniqueness theorems and ordinary and singular points are discussed and applications are given. 

Important problems in the physical sciences and engineering often require powerful mathematical methods for their solution. This course provides an introduction to the formalism of these methods and emphasizes their application to problems drawn from diverse areas of classical and modern physics. Representative topics include the integral theorems of Gauss and Stokes, Fourier series, matrix methods, selected techniques from the theory of partial differential equations and the calculus of variations with applications to Lagrangian mechanics.   The course also introduces students to the computer algebra system Maple as an aid in visualization and problem solving. 

Statistical methods for analyzing data that vary over time are investigated.  Topics include forecasting systems, regression methods, moving averages, exponential smoothing, seasonal data, analysis of residuals, prediction intervals and Box-Jenkins models. Application to real data, particularly economic data, are emphasized along with the mathematical theory underlying the various models and techniques.  

The theory of numbers deals with the integers. Some of the topics are divisibility, simple and continued fractions, congruences, quadratic residues, and Diophantine equations. 

A consideration of some advanced topics in plane geometry from a historical perspective. Euclidean plane geometry is reviewed through a study of constructions in the plane and extended through space geometry and the geometry of the sphere, Euclidean transformations in the plane, the nine-point circle, circle of Apollonius and a brief introduction to non-Euclidean geometry through the Saccheri quadrilateral. 

Mathematical Logic  also offered as Mathematics  317 and Philosophy 317.
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