# Mathematics / Courses

**MAT-090 Intermediate Algebra Review (2.00 cr.)**

*Session(s): Varies, Contact Department Head | Course Offered Varies, Contact Department Head*

This course is designed as a preparation for college algebra and other 100-level mathematics courses covering the following topics: the real number system, exponents, roots, radicals, polynomials, factoring, rational expressions, equations and inequalities, graphing linear equations and inequalities, graphing quadratic equations, and word problems. Counts as two credit hours toward course load and full-time student status but does not count as college credit.

**MAT-130 Exploring With Mathematics (3.00 cr.)**

*Session(s): Fall; Spring | Course Offered Every Year*

This course emphasizes reasoning and communicating to clarify and refine thinking in practical areas of life. Students will gain confidence in their ability to apply their mathematical skills to applied problems and decision making. Topics will be chosen from: set theory, probability, financial mathematics, visual representation of information, geometry, voting methods and graph theory.

**MAT-160 Fundamental Concepts of Mathematics I: Problem Solving, Number, Operation and Measurement (3.00 cr.)**

*Session(s): Spring | Course Offered Every Year*

For prospective elementary teachers. Introduction to mathematical concepts, their understanding and communication. Topics include an introduction to problem solving, set operations and their application to arithmetic, numeration systems, arithmetic, and measurement. Emphasis is on developing a deep understanding of the fundamental ideas of elementary school mathematics. Does not apply towards the math/science general education requirement for graduation.

**MAT-170 Trigonometry (3.00 cr.)**

*Session(s): Fall | Course Offered Every Year*

This class is intended for students who are preparing to take calculus. Trigonometry will be defined using the unit circle approach, with emphasis on the geometry of the circle. Classical right triangle trigonometry will be studied, along with trigonometric identities and equations, the laws of sines and cosines, and graphs and properties of the trigonometric functions and their inverses. Additional topics from algebra will include logarithmic and exponential functions. A graphical approach will be utilized throughout, with an emphasis on solving application problems. Students will develop skills in basic trigonometry and its applications, with an emphasis on modeling with functions and other algebraic skills necessary for the study of calculus. Not open to students who have credit for MAT-180 or MAT-191.

**MAT-175 Statistics I (3.00 cr.)**

*Session(s): Fall; Spring; Summer | Course Offered Every Year*

A general introduction to descriptive and inferential statistics, designed for non-mathematics majors. Topics include elementary probability, distributions, estimation of population parameters, confidence intervals, hypothesis testing, correlation, and regression. Students will use statistical analysis technology. This course is not recommended for mathematics majors.

**MAT-180 Integrated Precalculus (4.00 cr.)**

*Session(s): Fall | Course Offered Every Year*

This course is the first of a two-semester sequence that integrates Precalculus and Calculus I topics. A study of the algebraic, geometric, and analytic properties of power, polynomial, rational, and other algebraic functions. The course will examine limits, continuity, and derivatives of algebraic functions. Applications of differentiation include motion, optimization, and curve sketching. Credit not given for both MAT-180 and MAT-191. Prerequisite: MAT-170 or placement.

**MAT-181 Integrated Precalculus/Calculus B (4.00 cr.)**

*Session(s): Spring | Course Offered Every Year*

This course is the second of a two-semester sequence that integrates Precalculus and Calculus I topics. A study of the algebraic, geometric, and analytic properties of trigonometric, exponential, logarithmic, and other transcendental functions. The course will examine limits, continuity, and derivatives of transcendental functions, as well as the theory of integration and basic integration techniques. Applications of differentiation and integration include motion, optimization, curve sketching, and area. Credit not given for both MAT-181 and MAT-191. Prerequisite: MAT-180.

**MAT-191 Calculus I (4.00 cr.)**

*Session(s): Fall; Spring | Course Offered Every Year*

A study of functions, limits, continuity, the derivative, and the integral. Applications of differentiation and integration include maxima, minima, marginal cost and revenue, rectilinear motion, and areas. Students will use technology for exploration and problem solving. May be taken without prerequisite courses with department's permission. Credit not given for both MAT-180 and MAT-191 or for both MAT-181 and MAT-191. Prerequisite: MAT-170 or placement.

**MAT-212 Calculus II (4.00 cr.)**

*Session(s): Fall; Spring | Course Offered Every Year*

A continuation of the calculus of functions of one variable. Topics include volumes of rotation, transcendental functions, integration techniques, polar coordinates, parametric equations, and infinite series. Students will use technology for exploration and problem solving. May be taken without prerequisite with department's permission. Prerequisite: MAT-181 or MAT-191.

**MAT-213 Calculus III (4.00 cr.)**

*Session(s): Fall; Spring | Course Offered Every Year*

A study of vectors in two and three dimensions, vector algebra, vector functions, vector calculus and multivariable calculus. This includes three-dimensional analytic geometry, partial differentiation and multiple integrals, line and surface integrals, Green's Theorem, Divergence Theorem, Stokes's Theorem and applications. Students will use technology for exploration and problem solving. May be taken without prerequisite with department's permission. Prerequisite: MAT-212.

**MAT-220 Linear Algebra (3.00 cr.)**

*Session(s): Spring | Course Offered Every Year*

A study of vector spaces, linear transformations, matrices, determinants, and their applications. Students will use technology for exploration and problem solving. Prerequisite: MAT-181 or MAT-191.

**MAT-248 Statistical Concepts and Methods for Mathematicians (3.00 cr.)**

*Session(s): Spring | Course Offered Every Year*

An introduction to statistics for mathematically inclined students, focusing on the process of statistical investigations. Observational studies, controlled experiments, sampling, randomization, descriptive statistics, probability distributions, significance tests, confidence intervals, one-and two sample inference procedures, linear regression. Statistical software will be used throughout the course. Credit in this course is not given to students who already have credit for MAT-175. Prerequisite: MAT-181 or MAT-191.

**MAT-250 Introduction to Mathematical Reasoning (3.00 cr.)**

*Session(s): Fall | Course Offered Every Year*

This course is a study of logic and an introduction to various techniques of mathematical proof, including direct proof, indirect proof, and proof by induction. Students will be involved actively in the construction and exposition of proofs from multiple representations - visually, numerically, symbolically - and will present their reasoning in both oral and written form. Topics covered include sets and basic properties of the integers, rational numbers, and real numbers. Throughout the course, students will explore strategies of problem-solving and active mathematical investigation. After completing this course, a student would have an appropriate background for upper-level theoretical mathematics courses. Prerequisite: MAT-212, or Corequisite: MAT-212 with permission of the instructor.

**MAT-260 Fundamental Concepts of Mathematics II: Geometry, Algebra, Functions, Data Analysis, and Probability (3.00 cr.)**

*Session(s): Fall | Course Offered Every Year*

The second course intended for prospective elementary teachers continues an in-depth introduction to mathematical concepts focusing on student understanding and communication. Topics include geometric concepts (shape and space, area and volume, transformations and symmetry), algebraic concepts (patterns, equations, and functions), and statistical concepts (designing investigations, gathering & analyzing data, and basic probability). The course will utilize investigative activities and instructional technology. Emphasis is on developing a deep understanding of the fundamental ideas of elementary school mathematics and transitioning from inductive to deductive reasoning. Does not apply toward the math/science general education requirement for graduation. Prerequisites: MAT-160 and (MAT-175 or MAT-181 or MAT-191). Does not apply toward the mathematics major or mathematics minor.

**MAT-262 Discrete Mathematics (3.00 cr.)**

*Session(s): Spring | Course Offered Odd-Numbered Years Only*

An introduction to various topics chosen from combinatorics, propositional logic and graph theory. Topics include counting techniques, permutations and combinations, induction and recursion, Boolean algebra, planarity, minimal paths and minimum spanning trees. Recommended for middle grades and secondary mathematics licensure students. Also offered as CS-262.

**MAT-290 Honors Mathematics Lab (1.00 cr.)**

*Session(s): Varies, Contact Department Head | Course Offered Varies, Contact Department Head*

Students work in teams to explore via computer various mathematical concepts. The experiment-conjecture-proof technique allows students to experience some of the excitement of discovering mathematics. During the lab period, the teams interact in a cooperative setting and discuss the meaning of what they are learning. All of the labs contain dynamical graphical displays which enhance the students' understanding of the topics studied. At the end of each experiment, students submit a written report describing their findings. Prerequisites or Corequisites: MAT-181, MAT-191, MAT-212 or MAT-213.

**MAT-295 Mathematics Seminar (1.00 cr.)**

*Session(s): Spring | Course Offered Every Year*

This course is a seminar intended for students interested in a major in mathematics. Students will be exposed to various areas of mathematics as well as a brief history of mathematics; students will give short presentations about these topics. Co-curricular opportunities as well as career and graduate school opportunities will be discussed. Students will create materials such as cover letters and resumes. Prerequisites: MAT-212 and sophomore standing

**MAT-299 Introduction to Mathematics Research (1.00 cr.)**

*Session(s): Fall; Spring | Course Offered Every Year*

This course will provide opportunities for freshmen and sophomores to participate in original research in mathematics. Students will submit findings in a formal written report and will give an oral presentation. Students will be expected to work approximately three hours per week on the research project for each semester hour of credit. May be repeated for a maximum of six credit hours.

**MAT-334 Modern College Geometry (3.00 cr.)**

*Session(s): Fall | Course Offered Even-Numbered Years Only*

A course emphasizing Euclidean geometry and introducing hyperbolic, elliptic, and transformational geometries. Students will use methods of discovery, construction, and proof to study geometric systems. Prerequisite: MAT-250.

**MAT-340 Probability and Mathematical Statistics (3.00 cr.)**

*Session(s): Fall | Course Offered Odd-Numbered Years Only*

The study of probability and statistical inference. Emphasis is placed on the theoretical development of probability distributions, discrete, continuous, and multivariate, and the sampling distributions used in statistical inference. Prerequisites: MAT-212 and either MAT-175 or MAT-248.

**MAT-345 Statistics II (3.00 cr.)**

*Session(s): Fall | Course Offered Even-Numbered Years Only*

A continuation of introductory statistics which includes one- and two-sample inference, two-way tables, simple and multiple regression, and analysis of variance. Applications of these topics will be drawn from business, the social and natural sciences, and other areas. Students will use statistical analysis technology. Prerequisite: MAT-175 or MAT-248.

**MAT-348 Nonparametric Statistics (3.00 cr.)**

*Session(s): Varies, Contact Program Director | Course Offered Varies, Contact Department Head*

A study of distribution-free statistical methods. Estimation and hypothesis testing procedures that make relatively mild assumptions about the form of population distribution. Analysis of qualitative (nominal level) and rank (ordinal level) data. Inference for proportions, one- and two-sample location, dispersion, trend, one- and two-way layouts, rank correlation, and regression. Students will use statistical analysis technology. Prerequisite: MAT-175 or MAT-248.

**MAT-354 Differential Equations (3.00 cr.)**

*Session(s): Fall | Course Offered Every Year*

A study of first order differential equations, linear differential equations of higher order, Laplace transforms, and applications. Students will use a computer package. Prerequisite: MAT-212.

**MAT-360 Numerical Analysis (3.00 cr.)**

*Session(s): Fall | Course Offered Even-Numbered Years Only*

A computer-oriented study of analytical methods in mathematics. Topics include solving non-linear equations, least squares approximation, interpolating polynomials, numerical differentiation, and numerical quadrature. Also offered as CS-360. Prerequisite: MAT-212.

**MAT-371 Mathematical Modeling (3.00 cr.)**

*Session(s): Spring | Course Offered Every Year*

A study of mathematical models used in the social and natural sciences and their role in explaining and predicting real world phenomena. The course will emphasize the development of the skills of model building and will address the use of various types of models, such as continuous, discrete, deterministic, and statistical models. Prerequisites: CS-190, MAT-213, and MAT-248.

**MAT-410 Advanced Calculus (3.00 cr.)**

*Session(s): Spring | Course Offered Every Year*

A rigorous treatment of the foundations of calculus. A study of the algebraic and topological properties of the real numbers; one-variable calculus, including limits, continuity, differentiation, Riemann integration, and series of functions. Prerequisites: MAT-213, MAT-250.

**MAT-420 Modern Abstract Algebra (3.00 cr.)**

*Session(s): Fall | Course Offered Every Year*

A study of general algebraic systems. Topics covered will include relations, mappings, groups, rings, and fields. Group theory is emphasized. Prerequisite: MAT-250

**MAT-450 Topics in Mathematics (3.00 cr.)**

*Session(s): Fall; Spring | Course Offered Every Year*

Topics chosen from mathematics, applied mathematics, and statistics. Prerequisites vary with the topics studied. May be repeated for credit.

**MAT-498 Honors Thesis in Mathematics (3.00 cr.)**

*Session(s): Fall; Spring | Course Offered Every Year*

In conjunction with a faculty mentor, the student will formulate and execute an original research project that will culminate in a paper and a presentation. The research project must meet Honors Program thesis requirements as well as the expectations of the mathematics faculty. Open to seniors in the Honors and/or Teaching Fellows Programs only. Second semester juniors may enroll with permission of the faculty mentor.

**MAT-499 Research in Mathematics (1.00 cr.)**

*Session(s): Fall; Spring | Course Offered Every Year*

In conjunction with a faculty mentor, the student will formulate and execute an original research project that will culminate in a paper and a presentation. Open to juniors and seniors majoring in mathematics and to others by permission of the department. May be repeated for credit for a maximum of six credit hours.

**MAT-760 Mathematical Knowledge for Teaching (2.00 cr.)**

*Session(s): Spring | Course Offered Odd-Numbered Years Only*

Introduces licensure students to the philosophy and objectives of mathematics education. The course will focus on the content of school mathematics and examine closely both state and national recommended standards of school mathematics curricula. The emphasis of the course will be on developing a deep understanding of school mathematics and pedagogical content knowledge - the mathematical knowledge for teaching. Technologies appropriate for conceptual understanding of mathematics will be introduced. A related field component will be required at a local school site. This class is open to students applying to or accepted in the teacher licensure program; others by permission of the instructor. Prerequisite: MAT-250.

**MAT-764 Methods of Teaching Middle and Secondary Mathematics (3.00 cr.)**

*Session(s): Fall | Course Offered Every Year*

A continuation of the study of the philosophy and objectives of mathematics education, emphasizing the methods and materials needed for teaching mathematics in the middle and secondary schools. The course will focus on the selection of worthwhile mathematical tasks, planning for instruction, and assessment of student learning. An emphasis will be placed on technology. Students must demonstrate their skills in planning, teaching, assessing, and making instructional decisions based on formative evidence. Field component will be required at the internship site. Instructor's consent required.

**MTE-299 Introduction to Mathematics Education Research (1.00 cr.)**

*Session(s): Fall; Spring | Course Offered Every Year*

This course will provide opportunities for freshmen and sophomores to participate in research in mathematics education. Students will submit findings in a formal written report and will give, if appropriate, an oral presentation. Students will be expected to work approximately three hours per week on the research project for each semester hour of credit. May be repeated for a maximum of six credit hours.

**MTE-498 Honors Thesis in Mathematics Education (3.00 cr.)**

*Session(s): Fall; Spring | Course Offered Every Year*

In conjunction with a faculty mentor, the student will formulate and execute a research project that will culminate in a paper and a presentation. The research project must meet Honors Program thesis requirements as well as the expectations of the mathematics faculty. Open to seniors in the Honors and Teaching Fellows Programs only; students must also be completing the licensure program. Second semester juniors may enroll with permission of the faculty mentor.

**MTE-499 Research in Mathematics Education (1.00 cr.)**

*Session(s): Fall; Spring | Course Offered Every Year*

In conjunction with a faculty mentor, the student will formulate and execute a research project that will culminate in a paper and a presentation. Open to juniors and seniors majoring in mathematics who are also completing the licensure program and to others by permission of the department. May be repeated for credit for a maximum of six credit hours.

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279 Science/Mathematics

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