# Course Requirements

Mathematics is offered on campus and through our distance-education program.

## Mathematics Major - (37 credit hours)

A baccalaureate degree at Saint Mary-of-the-Woods College requires at least 125 credit hours. In addition to general studies courses and electives, the Mathematics major requires 37 credit hours of mathematics focused coursework.

### Mathematics Major - Required Courses

37 credit hours required; all courses listed.

The first programming course, required for all Computer Information Systems, Accounting Information Systems, and Mathematics majors. Students use the Visual Studio.Net interface to build GUI (graphical user interface), create multimedia, process files and databases as well as Internet and World Wide Web based client/server networking. Prerequisite: (WED only): CS250, waived for Math majors.

Derivatives and integrals of functions of a single variable. Concepts and applications are studied from graphical, numerical and symbolic points of view. Graphing technology and symbolic algebra software are used. Writing assignments and projects are included. Prerequisite: four years of college preparatory mathematics or MA 112 and 113.

Derivatives and integrals of functions of a single variable. Concepts and applications are studied from graphical, numerical and symbolic points of view. Graphing technology and symbolic algebra software are used. Writing assignments and projects are included. Prerequisite: four years of college preparatory mathematics or MA 112 and 113; and MA121.

An introduction to the mathematics and methods of discrete quantities: number systems, sets and logic, combinatorics, algorithm analysis, Boolean algebra and circuits and graph theory. Applications from computer science. Prerequisite: MA 112 or equivalent.

A first course in mathematical modeling, i.e., the application of mathematical methods to real-world problem solving. Includes computer simulations. Topics selected from the natural or social sciences. Prerequisite: for 2 credit hours, MA 112 or equivalent; for 3 credit hours, MA 121.

Matrices, vector spaces and linear transformations with applications in business and the physical and social sciences. Utilizes appropriate technology. Prerequisite: MA 121.

Organization of data; binomial, normal and t distributions; estimation; hypothesis testing; correlation and regression; chi-square; analysis of variance; application to business decisions and experiments in natural and social sciences. Use of appropriate computer software. Fulfills general studies requirement. Prerequisite: MA112 or placement.

Functions of several variables, limits and continuity, differentiation and its applications, theory of iterated and multiple integrals, introductory differential equations. Prerequisite: MA 122.

Algebraic structures, including groups, rings and fields, with emphasis on writing proofs and including applications to computer science. Prerequisites: MA 122 and MA 231.

Statistical measures of central tendency and dispersion; basic probability; theory of discrete and continuous random variables; normal, binomial, Poisson, chi-square and t distributions; statistical inference; hypothesis testing; analysis of error; correlation and regression; analysis of variance; applications to business decisions and to experiments in nature and social sciences. Use of appropriate computer software. Prerequisites: MA 121 and MA 253.

Discussion of readings and presentations by students on various topics in current mathematical literature, with particular emphasis on applications and mathematical models. Webinars or videos of presentations by professionals, attendance at a conference or several seminars, presentation at a conference if possible. Prerequisite: Junior status as a mathematics major or minor.

Logic and techniques of proof; sets and functions; the real number system as a complete ordered field. Convergence of sequences, limits and continuity of functions. Prerequisities: MA 210, 322, 331.

### Mathematics Major - Electives

Choose one (3 credit hours) from the following options.

Transformational geometry, projective geometry and non-Euclidean geometry; a study of the nature of a logical system; applications to art and music. Student investigations guided by use of computer software. Prerequisite: MA 112 or equivalent, or consent of instructor.

Hypothesis testing, multiple regression and correlation, two-way analysis of variance, multivariate statistics, nonparametric methods, sampling and simulation, quality control; applications to business and natural and social sciences. Students use computer software to analyze their data and interpret computer output. Prerequisite: MA 253.

## Mathematics Minor (18 credit hours)

The mathematics minor requires 18 credit hours of mathematics focused coursework.

### Mathematics Minor - Required Courses

Choose 18 credit hours of mathematics courses. Coursework must include Calculus I and may not include MA101, MA361, MA362, or MA461. Refer to the college catalog for details.

## Mathematics Education

The mathematics education program prepares teacher candidates to teach mathematics to students in senior high, junior high and middle school settings. For more information about the Mathematics Education program please visit the Education Department's website.

**Information about Course Requirements**

We do our best to keep this information updated, but you should always double-check to ensure you are meeting graduation requirements. For the most current course requirements please review the latest undergraduate college catalog. Always consult your academic advisor when registering for courses or when you have questions about course requirements.

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