MA 004 Review of Math for College (0 credits)
This course provides a review for students whose mathematical skills are weak and need to improve their abilities prior to taking MA109 (Precalculus) or ST110 (Introduction to Statistical Methods and data Analysis).  Sets, polynomials, algebra of fractions, linear equations, inequalities of one variable, exponents, radicals, complex numbers, graphing equations, inequalities of two variables, systems of equations, and other selected topics.

Note:  No college credit is earned by taking this course.

MA 103 Fundamental Concepts of Mathematics I
This course provides prospective teachers with part of the background needed for teaching the content of elementary mathematics including sets, logic, the development of the whole number system, intuitive geometry, and measurement. The topics are in accordance with the recommendations of the Committee on the Undergraduate Program in Mathematics (CUPM) and the National Council of Teachers of Mathematics (NCTM).

This course is restricted to Elementary Education Majors. It is offered only in the Fall Semester.

MA 104 Fundamental Concepts of Mathematics II
Prereq: MA103. This course provides prospective teachers with part of the background needed for teaching the content of elementary mathematics including rational and real numbers, exponents and decimals, word problems, Cartesian Coordinate System, ratio and proportion, percents, probability, intuitive geometry, and measurement. The topics are in accordance with the recommendations of the Committee on the Undergraduate Program in Mathematics (CUPM) and the National Council of Teachers of Mathematics (NCTM).

This course is restricted to Elementary Education Majors. It is offered only in the Spring Semester.

MA 106 Topics in Modern Math: Ciphers and Codes
Can you figure out the following message? DOO DUH ZHOFRPH? This message is an example of a cipher. There are a wide variety of different schemes for creating ciphers; in fact, one of the earliest known methods was used by Julius Caesar. The course will focus on those schemes that have a mathematical basis. We will begin with Caesar's method and end with a scheme currently used for security on the Internet. The mathematics used will be elementary and will be developed in the course.

MA 107 Mathematics, Numbers and the Real World
"This sentence is false." Does this statement make any sense?
Why is 1 not a prime number?
These questions, and even more interesting ones, will be answered as we examine reasoning and logic (inductive and deductive) in a mathematical setting. We will also look at the nature of numbers, including types of numbers and differences among kinds of numbers. We will examine the uses of numbers in real world applications such as interest, installment buying, amortization, etc. We will also look at the fascinating world of probability. For example, how many people have to be in a room so that the chances of two of them having the same birthday not counting the year are 50-50?

MA107 Mathematics, Numbers and the Real World
The philosopher Proclus described mathematics as "the invisible form of the soul."  In this course, you will experience mathematics in ways that you never thought possible.  We will discover the power and beauty of mathematics by exploring some very intriguing ideas.  Simultaneously, we will learn effective strategies for thinking and making decisions in our everyday lives.  Some of the topics we will examine are: the beauty of numbers (What does the number of spirals on a pineapple have to do with rabbits?), infinity (Are some infinities larger than others?), modular arithmetic (On what day of the week will your birthday fall in 2057?), and financial management (How much do you need to save each month if you want to have $5000 saved up when you graduate?).

Prerequisites:  The only prerequisites for this course are an open and curious mind and the willingness to put aside any preconceived prejudices or dislikes for mathematics. 
 

MA 108 Mathematics and Politics
A mathematical treatment (not involving Calculus or Statistics) of political power, social choice, and international conflict. No previous study of political science is necessary, but some introduction to American or International politics would be relevant.

Topics include:

• principles of elementary game theory as applied to such historical
  situations as the Cold War, the Cuban Missile Crisis, and the Yom
  Kippur War
• several voting systems and important properties that are
  preserved under each system; and
• methods for determining indices of power of individuals within
  various types of groups/organizations

MA 109 Precalculus
This is the course for students intending to take Applied Calculus (MA 151) or Calculus I (MA 251), which will allow review of several fundamental elements necessary for Calculus. These reviews include factoring, exponents and radicals; equations and inequalities; functions and relations including algebraic, exponential, logarithmic and trigonometric functions.

Prerequisites: 13 or better on Math Placement Test.

This course does not fulfill the mathematics core requirement. It is offered Fall and Spring Semesters.

ST 110 Introduction to Statistical Methods and Data Analysis
Extraction of information from data using graphical methods, cross tabulations, and computer packages. Statistical methods are motivated through real data sets and projects. Topics include graphical descriptions of a sample of data, measures of central tendency and dispersion, the normal distribution, chi-squared tests for association between two categorical variables, regression analysis to model the association between two numerical variables, and sampling.

Prerequisite: 13 or better on Part 1 of the Math Placement Test.

Offered Fall and Spring semesters.

MA 151 Applied Calculus for Business and Social Sciences
A one semester calculus that stresses applications in business and social sciences. Every concept is considered graphically, numerically, algebraically and verbally. Graphing calculators are used to help students learn to the think mathematically. This is a terminal course so if you plan on taking more mathematics and/or minoring in mathematics or statistics, you should take MA 251 instead.

Prerequisite: MA 109 or a score of 11 or better on Part II of the Math Placement Test.

Offered Fall and Spring semesters.

ST 210 Introduction to Statistics
Introduction to Statistics is the new version of the Mathematical Sciences intermediate level statistics course. It replaces both MA310 and MA311. These previous courses were classes in Probability and Statistics where the probability portion of the course was quite mathematical. While probability involves very important concepts, covering them did not allow enough time in either course for applied statistical methodology and data analysis. Moving much of the probability to other courses means ST210 may focus on topics that were previously rushed over such as estimation and tests of hypothesis. Involvement with real data and statistical computer routines will bring out the applied and problem-solving nature of statistics. Descriptive statistics, normal and sampling distributions, regression model fitting, and categorical data analysis are other topics that help to create a course more geared toward conducting research and planning experiments.

Students who follow ST 210 with Experimental Research Methods, ST 465, provide themselves with a an excellent sequence in statistical methodology. Statistics Minors or any other student interested in learning research techniques may consider this a valuable sequence. For these students and for Mathematical Sciences Majors, ST 210 is the natural preparation course for many of the upper level Statistics and Operations Research Courses.

ST210 is not open to students who have already taken ST265, PY292, or EC220.

Prerequisite: MA109 or a score of 13 or better on Part II of the Math Placement Test.

MA 251 Calculus I
Definition, interpretation, and applications of the derivative and definition and interpretation of the integral are studied.

Prerequisite: MA 109 or 13 or better on Part II of the Math Placement Test

Offered Fall and Spring semesters

MA 252 Calculus II
A continuation of Calculus I.  Techniques and applications of integration, parametric equations, polar coordinates, sequences and series will be studied.

Prerequisite: MA 251

Offered Fall and Spring semesters

ST 265 Biostatistics
This course introduces graphical and numerical descriptive statistical methods, probability and statistical inference using medical/biological examples. The course uses many applications with numerous examples used to illustrate the concepts presented. Inferential topics include confidence intervals, hypothesis testing, linear regression, analysis of variance and chi-square tests for categorical data analysis.

Prerequisite: MA109 or a score of 13 or better on Part II of the Math Placement Test.

MA265 is not open to students who have already taken ST210, PY292, or EC220.

This course is intended mainly for Biology majors. It is offered only in the Spring Semester.

MA 295 Discrete Methods
Boolean algebra, combinatorics, inductive and deductive proofs, graphs, functions and reflections, recurrence.

Prerequisite: MA 251

This course is limited to Computer Science Majors and Minors and is also listed as CS 295. It is offered only in the Fall Semester

MA 301 Introduction to Linear Algebra
In your video games, what makes Mario jump over the barrel? Linear Algebra! In the airline industry, what technique helps to optimize the scheduling process? Linear Algebra! In the economic world, what technique helps to minimize costs? Linear Algebra! It is the "bread and butter" of mathematics as much as calculus is. In high school, you saw linear algebra. Remember the old "two equations, two unknowns" problems? That was linear algebra. But in the real world, there are 3,000 equations and 5,000 unknowns! That is LINEAR ALGEBRA!!

Prerequisite: MA 252.

This course is required for the major and is usually taken in the sophomore year. It is only offered in the Spring Semester.

MA 302 MATLAB Laboratory

A laboratory course in the use of the software package MATLAB that is widely used in academia and industry. The emphasis will be placed on programming algorithms in order to solve problems in scientific computing arising from mathematical and statistical applications.

Prerequisite: MA251 and CS201

MA 304 Differential Equations
This is an introductory course in ordinary differential equations (ODEs) and their application in modeling physical phenomena.  In particular, the following topics are covered: first and second order ODEs, separable ODEs, existence and uniqueness of solutions, and numerical solutions (using software such as MATLAB). Modeling plays a crucial role in the course, as do applications to other disciplines.

Prerequisite: MA 351 or MA252 and written permission of the instructor.

This course is only offered in the Spring Semester.

MA 351 Calculus III
This course is a continuation of MA 252 and covers multivariable calculus. Topics covered: vectors and their geometry, parametric curves, functions of several variables, partial derivatives, multiple integrals, and the course climaxes with the big theorems, namely the divergence theorem, Stokes' theorem and Green's theorem.

Prerequisite: MA 252.

This course is required for the major and is usually taken in the sophomore year. It is offered only in the Fall Semester.

ST 365 - Statistical Analysis System (SAS) Laboratory (1.00 cr.)
A laboratory course in the use of the Statistical Analysis System, a statistical software package that is widely used throughout governmental, business, industrial, scientific, and academic sectors. Proficiency in using SAS for data management, analysis, and reporting is developed. The course reviews statistical methodology while focusing on developing computing experience and extensive project work.

Prerequisite: EC220 or EG390 or ST210 or ST265 or PY292 or SC351
Corequisite: ST465

This course is required for the mathematical sciences majors who enroll in MA465 and statistics minors. It is offered only in the Fall Semester of odd numbered years.

ST 381 - Probability and Statistics
Note: This is the same course as EG381 (formerly EG481).  Random experiments and probability measure.  Random variables, probability density functions, and expectation.  Sample statistics, confidence intervals, and hypothesis testing. 

Prerequisites: CS201, MA252.

Degree credit will not be given for more than one of ST210, ST265, and ST381.  This course is offered only in the Fall semester.

Prerequisite: MA 252.

This course is required for the major and is usually taken in the sophomore year. It is offered only in the Fall Semester.

MA 421 Analysis I
Calculus is an important tool (perhaps the most important) in applied mathematics and in order to apply Calculus successfully it is important that a thorough understanding of Calculus is achieved. In Analysis I we will explore the definitions and rigorously prove many of the results used in differential and integral Calculus, and thus the course will have a theoretical component. The ideas and methods explored play a fundamental role in many applied mathematical areas such as ordinary differential equations, probability theory (and thus statistics), numerical analysis, and complex analysis.

Prerequisites: MA 351, MA 301 or MA 395

This course is required for the major and is usually taken in the junior year. It is offered only in the Fall Semester.

MA 422 Analysis II
This course is a continuation of Analysis I. We will finish off any unfinished business about functions of 1 variable, including sequences and series of functions. We will then talk about functions from Rn to Rm and what differentiation and integration means in the context of different combinations of values for n and m. For example, functions from Rn to R were studied in Calculus III, leading to partial derivatives and multiple integrals. Functions from R to R3 describe curves in space. Functions from Rn to Rm where n and m are both greater than 1 are new and will be discussed.

Prerequisites: MA 421

This course is required for the Pure Mathematics Concentrations; it may be used for the Statistics, Operations Research, Secondary Education and General Program Concentrations. It is offered only in the Spring Semester of even numbered years.

MA 424 Complex Analysis
The subject of Complex Analysis has both pure and applied components. On one hand, one can think of complex functions as natural extensions of real functions. We will study the topology of the complex plane as we define the concepts of complex functions, the derivative and integral. On the other hand, complex functions are often used to solve problems in a wide variety of applied areas such as electrical engineering (e.g., electric circuits) and physics (e.g., air flow around an airplane wing). While applications will be introduced, our main focus will be on understanding the mathematical concepts.

Prerequisites: MA 421

This course is offered only in the Spring Semester of odd numbered years.

MA 427 Numerical Analysis
This is an introductory course in numerical analysis, the study of methods for obtaining approximate values of mathematically-defined quantities. Since most uses of mathematics in modern day society involve numerical approximation, this course is essential for any student who wishes to work in an area which involves applied mathematics.

Derivation of the methods and analysis of their errors will be presented. Errors (not to be confused with mistakes) are an inevitable part of using finite algorithms in finite-precision arithmetic, and a numerical method is not usually useful unless the errors can be controlled or at least estimated. For this reason the course has an important theoretical component.

At the same time, one of the goals of the course is to give students experience with the practical performance of the algorithms. To this end the software package MATLAB will be used to implement (and test) the algorithms we will study in class.  Weekly problem sets will require both numerical computations using MATLAB and interpretation of results.

Topics include: computer arithmetic, root-finding, interpolation and approximation of functions, and numerical integration. If time permits we will also cover numerical solutions of systems of linear equations, opimization techniques, and solutions of differential equations.

Prerequisites: MA 351 and MA 302.

This course is required for the Computer Science and Actuarial Sciences Concentrations. It is offered only in the Spring Semester of even numbered years.

MA 431 Geometry
A review of Euclidean geometry and an introduction to non-Euclidean geometry.  Rigorous deduction and axiom systems are emphasized.  Possible techniques include the use of coordinate geometry, linear algebra, and computer geometry systems. 

Prerequisite: MA 252.

This course is offered only in the Spring Semester of even numbered years.

Prerequisites: MA 301, MA 395

This course is required for the Pure Mathematics, Computer Science, Secondary Education and General Program Concentrations. It is offered only in the Fall Semester.

MA 442 Algebraic Structures II
Further study of groups, rings, and fields with particular emphasis on finite fields and their uses ---- methods of constructing them and implementing their arithmetic.
As an extended application, the course will contain an introduction to so-called "error-correcting codes."
These are mathematical constructions useful in the transmission of electronic data. They are endowed with the ability to "reconstruct" data that has been "corrupted" by a noisy channel. Extensive use is made of them, for example, in compact disc and cellular phone technology.
The prerequisite is Algebraic Structures I taken at any time.

Prerequisites: MA 441

This course is required for the Pure Mathematics Concentration; it may be used for the Secondary Education and General Program Concentrations. It is offered only in the Spring Semester of odd numbered years.

MA 445 Advanced Linear Algebra
A deeper study of matrices - their properties and uses. Topics include eigenvalues and eigenvectors, special factorizations of matrices, and computational algorithms involving matrices. This looks to be a nice blend of theory and applications.

Prerequisites: MA 301

This course may be used for the Statistics and the Operations Research Concentrations. It is offered only in the Spring Semester of even numbered years.

MA 447 Number Theory
Number Theory deals with properties of whole numbers and is one of the oldest and most fascinating branches of mathematics. Topics include prime numbers and the mystique surrounding them, modular arithmetic and its uses, and equations, solutions of which must be integers. Public-key cryptography and integer arithmetic on computers provide some applications. A nice blend of theory and practice.

Prerequisite: MA 301 or MA 395.

This course is offered only in the Spring Semester of even numbered years.

MA 448 Graph Theory
Graph theory is the study of points(vertices) and lines(edges) that join them. How graphs are "connected" turns out to be important and also whether they can be drawn without having any edges cross. How many colors do you need to color the vertices of a graph so that no two adjacent vertices are the same color? Is there a way you can travel around the edges of a graph so that you traverse each edge exactly once.? Or touch each vertex exactly once? If every pair of vertices of a graph are joined by an edge that is colored either red or blue, how many vertices must the graph have to be certain the graph has either a red or a blue triangle? These topics and others lead to applications such as communication problems, the highway inspector problem, the traveling salesperson problem, map coloring problems, scheduling problems and even game strategies. When you prove a theorem in graph theory, the graph itself gives you a clear picture of what is going on. When you look for an application of graph theory, it can be as close as a computer science book or as far out as the proof of the famous Four Color Theorem (the longest proof ever devised, and filled with graph theory). Not all of the above will be covered in the course, but the course will give you, it is hoped, a good introduction to the subject.

Prerequisite: MA 395

This course is offered only in the Spring Semester of odd numbered years.

ST 461 - Stat Theory I
This course is the first in the two semester sequence of probability and mathematical statistics. It provides a solid foundation for students preparing for the actuarial tests, for those who plan to attend graduate school in statistics, and those who plan to seek employment in a statistics related job. This first semester covers probability, random variables, and their probability distributions. Change of variable techniques are covered as well as the central limit theorem.

Prerequisites: ST 210; MA 351.
 
This course is required for the Statistics and Actuarial Sciences Concentrations. It is offered only in the Fall Semester of even numbered years

ST 462 - Stat Theory II
This course is a continuation of ST 461. The focus is on theoretical aspects of statistical inference. Topics include the estimation of parameters, method of moments, maximum likelihood estimation, Bayesian estimation, the derivation of confidence intervals, tests of hypotheses, power of tests, and chi-square analysis. For students concentrating in statistics or actuarial science.

Prerequisite: ST 461.
 
This course is required for the Actuarial Sciences and Statistics Concentrations. It is offered only in the Spring Semester of odd numbered years.

ST 465 Experimental Research Methods
This course stresses applied statistical methods that are most frequently used in practice. Regression analysis is covered in detail beginning with simple linear regression. This is followed by chi-squared tests which include goodness of fit, tests of homogeneity, and tests of independence. One-way analysis of variance will be covered including multiple comparison methods. This is a required course for majors concentrating in statistics as well as those minoring in statistics.

Prerequisites: ST 210, or ST 265, or EC 220
Corequisite: ST 365 (for mathematical sciences majors and statistics minors) 

This course is required for the Statistics Concentration; it may be used for the Operations Research Concentration. It is offered only in the Fall Semester of odd numbered years.

ST 466 Experimental Design
This course is a continuation of ST 465. Initially, it covers the theoretical aspects of linear regression and the general linear model. The remainder of the semester introduces applied topics that continue where ST 465 left off. This material addresses the analysis of data from observational studies and designed experiments to assist the researcher/experimenter to uncover the meaningful effects in their data. Topics include: two-way analysis of variance, randomized block designs, higher level analysis of variance models, analysis of covariance, fixed and random effects, nested designs, and repeated measures models.
 
Prerequisites: MA 301; ST 365; ST 465.
 
This course is required for the Statistics Concentration. It is offered only in the Spring Semester of even numbered years.

MA 481 Operations Research
This course will investigate mathematical techniques for determining optimal courses of action for decision problems under restrictions of limited resources. These techniques include the simplex algorithm, the traveling salesman algorithm, branch and bound algorithm, shortest route algorithm.

Prerequisite: MA 301

This course is required for the Operations Research Concentration. It is offered only in the Fall Semester of odd numbered years.

 MA/ST 485 Stochastic Processes
Variation is inevitable in nature, but the apparently irregular variations generally show some stochastic regularity. As a result, the variation can be described by a probability model and decisions can be made in the face of uncertainties. In this context, we will discuss queing theory, markov chains, inventory analysis and bayesian decision theory. This course is a perfect elective for those pursuing an O.R., statistical, or actuarial science direction in their mathematical courses.

Prerequisites: ST 210 and MA 301.
 
This course is required for the Operations Research Concentration. It is offered only in the Spring Semester of odd numbered years.

MA 490 - Special Topics in Mathematics: Introduction to Non-Linear Programming

Note: this course is the foundation of nonlinear programming, computer skill is not required.  Students may be asked to do one final project using MATLAB.

Prerequisite: MA 301(Linear Algebra) and MA 351 (Multivariable Calculus).

MA 490 - Special Topics in Mathematics: Topology
An introduction to topology. Topics include metric spaces, general topological spaces, open and closed sets, bases of topologies, continuity, connectedness, compactness, product and quotient spaces and Urysohn's metrization theorem.

Prerequisite: MA 395 or permission of instructor.

MA490 - Special Topics in Mathematics: The Art of Counting
Remember when you first learned 1, 2, 3,...  Now, years later, you have powerful mathematical tools at your command that will allow you to count more than apples: permutations, partitions, (mathematical) trees, strings, and uncountably more.  We will also look at graphs, cliques, probability, existence and external problems as time permits.  The course will focus on problem solving.  Some of the tools we will study are the pigeon-hole principle, inclusion-exclusion, generating functions, and recursion.  The material learned in this course and more importantly the thought processes can be useful in any mathematical field from the most basic to the graduate level.  Combinatorics has applications to Computer Science, Statistics, and much more.

Prerequisite: MA 395 or permission of instructor.

Prerequisites: ST 210 or EC 220 with written permission of the instructor.