# Courses

*A student must earn at least a grade of C- in all prerequisites before taking a course.*

**MATH 104: Mathematics for the Liberal Arts***1 course credit*

An introduction to various types of mathematical problems and problem solving techniques. Topics covered will introduce interesting and useful topics that portray the breadth and beauty of mathematics such as the mathematics of voting, fair division, Euler circuits, symmetry, patterns, and probability. This course will not count toward the Mathematics Major or Minor.

**MATH 106: Elementary Statistics***1 course credit*

A study of the methods of describing and analyzing data and an introduction to statistical inference with applications. Topics include mean and variance, data displays, normal distribution, correlation and regression, and test of significance for means and proportions. Students take either MATH 106 or 206 or 207 as recommended by their major program. Students cannot take Math 106 after successfully finishing Math 206 or 207.

**MATH 114: Quantitative Reasoning***1 course credit*

This course focuses on strengthening quantitative reasoning skills. Students will
learn to organize data, critically analyze numerical information, and use quantitative
skills to build arguments

and solve problems. Topics will be explored in the context of current issues using
real data. The course is intended for non-majors.

**MATH 141: Elementary Functions***1 course credit*

A pre-calculus study of polynomial, rational, trigonometric, exponential, and logarithmic functions.

*Prerequisite: Three years of college preparatory mathematics.*

**MATH 151: Calculus I with Lab***1 course credit*

A study of the calculus of functions of a single variable.

*Prerequisite: Either MATH 141 or a Math ACT score of 26+ or the satisfactory performance
on the compass placement exam.*

**MATH 152: Calculus II***1 course credit*

Continuation of MATH 151.

*Prerequisite: MATH 151 or one year of high school calculus with permission of the
instructor.*

**MATH 171: Problem Solving with Programming***1 course credit*

An introduction to mathematical problem solving using programming tools. Topics will include algorithm development using pseudocode and graphic methods, the top-down approach to problem solving, modularity, and structured program design. Students will become familiar with several programming languages suitable for mathematical programming. No previous programming experience is required.

**MATH 207: Statistics for the Sciences***1 course credit*

An introduction to statistical methods with examples and problems aimed toward the sciences. Topics include descriptive statistics, experimental design, probability, basic statistical inference. Chi-square analysis, analysis of variance, correlation, and regression. Students cannot take Math 106 after successfully finishing this course.

*Prerequisite: Competent mathematics skills.*

**MATH 210. Foundations of Elementary Mathematics I***1 course credit *

An exploration of elementary school mathematics topics from a conceptual perspective. Topics include algebra and patterns, numeration, the four fundamental operations of arithmetic, fractions and operations with fractions, decimals, ratios and proportions. This course will not count toward the Mathematics Major or Minor.

*Prerequisite: Formal admission to the Teacher Education Program.*

**MATH 211. Foundations of Elementary Mathematics II***1 course credit *

As a continuation of MATH 210, this course explores elementary school mathematics topics from a conceptual perspective. Includes an introduction to probability and statistics and topics from geometry including shapes, transformations, congruence and similarity, and measurement. This course will not count toward the Mathematics Major or Minor.

*Prerequisite: MATH 210*

**MATH 241: Linear Algebra***1 course credit*

A study of finite dimensional vector spaces, linear transformation, and matrices.

*Prerequisite: MATH 151 or 260.*

**MATH 253: Calculus III***1 course credit*

A study of the calculus of functions of more than one variable: including partial

differentiation and multiple integration.

*Prerequisite: MATH 152.*

**MATH 254: Differential Equations***1 course credit*

An introduction to ordinary differential equations and their applications.

*Prerequisite: MATH 152.*

**MATH 260: Discrete Structures***1 course credit*

Topics include sets and logic, number systems, properties of whole numbers, functions

and relations, recursion, combinatorics and probability, matrices, and graph theory.

**MATH 301: Advanced Calculus***1 course credit*

A theoretical development of the calculus of one and several variables, including topological concepts, linear theorems, differentiation, integration, series, point wise convergence, and uniform convergence.

*Prerequisites: MATH 152 and MATH 260. Offered in alternate years.*

**MATH 311: Introduction to Modern Algebra***1 course credit*

A study of groups, rings, and fields plus their applications.

*Prerequisite: MATH 152. Offered in alternate years.*

**MATH 317: Geometry***1 course credit*

A study of such topics in advanced and modern geometry as non-Euclidean geometry, finite and projective geometries, isometries and transformation groups, convexity, foundations, and axiomatics.

*Prerequisites: MATH 241 or MATH 260. Offered in alternate years.*

**MATH 323: Numerical Analysis***1 course credit*

An introduction to numerical algorithms. Methods will include finding roots of equations, interpolation, curve-fitting, approximations of functions, and numerical differentiation and integration.

*Prerequisites: MATH 152 and MATH 241. Offered in alternate years.*

**MATH 330, Topics for Future Teachers***1 course credit*

This course is intended for students seeking licensure in secondary mathematics teaching. Topics included in the course are chosen from three major areas emphasized in high school level mathematics: Number and Operations, Algebra, and Geometry. Selected topics will be investigated from an advanced standpoint, and connections between these major areas will be explored.

*Prerequisites: Math 152, 260, and 241 with a grade of C- or better and a passing score
on Secondary Math Education Key Assessment #1. Students who are not seeking licensure
in secondary mathematics teaching cannot take this course.*

**MATH 339: Probability***1 course credit*

An introduction to probability theory and its applications, including discrete and continuous random variables, density functions, distribution functions, expectations, and variance.

*Prerequisites: MATH 152, MATH 260, and COMP 160. Offered in alternate years.*

**MATH 345: Linear Regression and Analysis of Variance***1 course credit*

A data-analytic course. A study of simple and multiple linear regression and basic analysis of variance (ANOVA). Topics include residual diagnostics, model validation, model building, computation and interpretation for one- and two-way ANOVA, and multiple comparisons. May include factorial ANOVA, analysis of covariance, repeated measures, and/or some experimental designs. Applications include use of computers. Prior completion of MATH 151 is recommended, but not required.

*Prerequisites: MATH 207 or PSYC 201 or permission of the instructor.*

**MATH 350: Topics in Mathematics***1 course credit*

Possible topics include number theory, topology, complex variables, and continuations of other mathematics courses. May be repeated if the student does not already have credit for the topic officered.

*Prerequisite: MATH 152 and permission of the instructor.*

**MATH 351: Readings in Mathematics***.25 - 1 course credit*

This course will investigate special readings in advanced mathematics or from the history of mathematics.

*Prerequisite: A 300 level mathematics course.*

**Math 410: Research in Mathematics***.25 - 1 course credit *

An individual or group project in mathematics and/or statistics chosen by the student(s) in consultation with the mathematics faculty. This course may count toward the mathematics major at the discretion of the department

**MATH 420: Independent Study and Seminar***.25 - 1 course credit*

A study of selected topics in advanced mathematics.

*Prerequisites: One 300-level math course and permission of the instructor.*

**MATH 430: Mathematical Modeling***1 course credit*

A study of the mathematical modeling process. Examples will come from calculus, linear algebra, and physics. Students will present a mathematical model of some phenomenon.

*Prerequisites: MATH 241, MATH 253 and senior standing.*