# Mathematics (MAT)

** MAT 081 Foundations for University Mathematics I Credits: 3**

**Typically Offered:** Fall, Spring, Summer.

**Course Description:** A study of the fundamental arithmetic and algebraic concepts prerequisite to university level mathematics. The specific topics studied are determined by assessment of the individual student's mathematical background.

** MAT 083 Foundations for University Mathematics II Credits: 3**

**Typically Offered:** Fall, Spring, Summer.

**Course Description:** A continuing study of the fundamental arithmetic and algebraic concepts prerequisite to university level mathematics initiated in MAT 081. The specific topics studied are determined by assessment of the individual student's mathematical background. **Prerequisite(s):** A grade of C or better in MAT 081 or the equivalent.

** MAT 110 Contemporary Problem Solving Credits: 3**

**Typically Offered:** Fall, Spring.

**Course Description:** Mathematics for solving selected real-world problems using elementary graph theory, data analysis, techniques of decision making, and the mathematics of finance. Same as MAT 110E. **Prerequisite(s):** ACT math subscore of at least 22 or a sufficient score on the math placement exam or departmental approval.

**CORE 42:** MOTR MATH 120; Mathematical Reasoning and Modeling

** MAT 110E Contemporary Problem Solving Credits: 4**

**Typically Offered:** Fall, Spring.

**Course Description:** Mathematics for solving selected real-world problems using elementary graph theory, data analysis, techniques of decision making, and the mathematics of finance. Same as MAT 110. Three hours lecture, two hours lab. **Prerequisite(s):** ACT math subscore of at least 18 or a sufficient score on the math placement exam or successful completion of MAT 083 or departmental approval.

**CORE 42:** MOTR MATH 120; Mathematical Reasoning and Modeling

** MAT 111 Introductory Statistics Credits: 3**

**Typically Offered:** Fall, Spring.

**Course Description:** A general introduction to statistics for students whose academic interests involve the analysis and interpretation of data. Emphasis is placed on the development of statistical thinking and the use of technology. Topics include graphical and numerical methods for summarizing univariate and bivariate data, basic probability, discrete and continuous probability distributions, linear regression, characteristics of good study designs, confidence intervals and hypothesis testing. Same as MAT 111E. Prerequisite(s): ACT math subscore of at least 22 or a sufficient score on the math placement exam or departmental approval.

**CORE 42:** MOTR MATH 110; Statistical Reasoning

** MAT 111E Introductory Statistics Credits: 4**

**Typically Offered:** Fall, Spring.

**Course Description:** A general introduction to statistics for students whose academic interests involve the analysis and interpretation of data. Emphasis is placed on the development of statistical thinking and the use of technology. Topics include graphical and numerical methods for summarizing univariate and bivariate data, basic probability, discrete and continuous probability distributions, linear regression, characteristics of good study designs, confidence intervals and hypothesis testing. Same as MAT 111. Three hours lecture, two hours lab. Prerequisite(s): ACT math subscore of at least 18 or a sufficient score on the math placement exam or successful completion of MAT 083 or departmental approval.

**CORE 42:** MOTR MATH 110; Statistical Reasoning

** MAT 112 Finite Mathematics Credits: 3**

**Typically Offered:** Fall, Spring.

**Course Description:** Linear and quadratic equations, graphs, and functions including exponential and logarithmic functions; mathematics of finance, annuities, sinking funds and mortgages; linear programming; counting methods, probability, expectation; descriptive statistics. Not open to the student with credit in MAT 165 or MAT 167. **Prerequisite(s):** ACT math subscore of at least 22 or a grade of C or higher in MAT 110E or a sufficient score on the math placement exam or departmental approval.

**CORE 42:** MOTR MATH 120; Mathematical Reasoning and Modeling

** MAT 116 College Algebra Credits: 3**

**Typically Offered:** Fall, Spring.

**Course Description:** Linear, quadratic, and miscellaneous equations and inequalities; relations and functions including polynomial, exponential, and logarithmic functions; graphing; systems of equations; and matrices. Not open to the student with credit in MAT 165 or MAT 167. **Prerequisite(s):** ACT math subscore of at least 22 or a grade of C or higher in MAT 110E or a sufficient score on the math placement exam or departmental approval.

**CORE 42:** MOTR MATH 130; Pre-Calculus Algebra

** MAT 119 Trigonometry Credits: 2**

**Typically Offered:** Fall, Spring.

**Course Description:** Trigonometric functions, trigonometric identities, trigonometric equations, solution of triangles, inverse trigonometric functions. Not open to the student with credit in MAT 165 or MAT 167. **Prerequisite(s):** ACT math score of 22 or higher or the equivalent.

** MAT 147 Applied Calculus Credits: 5**

**Typically Offered:** Fall.

**Course Description:** An applied course in techniques of differentiation and integration; applications primarily from the technological fields; analytic geometry, functions, differential and integral calculus. **Prerequisite(s):** ACT math score of 25 or higher or a grade of C or higher in MAT 116.

**CORE 42:** MOTR MATH OTHER; Mathematical Sciences

** MAT 165 Calculus with Analytic Geometry I: Differentiation Credits: 3**

**Typically Offered:** Fall.

**Course Description:** Includes the study of limits and continuity of real functions, the derivative of algebraic and trigonometric functions, and applications of the derivative. Not open to the student with credit in MAT 167. **Prerequisite(s):** ACT math score of 25 or higher, or a grade of C or higher in MAT 116 and a grade of C or higher or concurrent enrollment in MAT 119.

**CORE 42:** MOTR MATH OTHER; Mathematical Sciences

** MAT 166 Calculus with Analytic Geometry I: Integration Credits: 3**

**Typically Offered:** Spring.

**Course Description:** Includes the study of the integral, and the derivative and integral of exponential logarithmic, and other transcendental functions. Not open to the student with credit in MAT 167. **Prerequisite(s):** A grade of C or higher in MAT 165.

** MAT 167 Calculus with Analytic Geometry I Credits: 5**

**Typically Offered:** Fall, Spring.

**Course Description:** The first of three sequenced courses in calculus. Includes the study of limits and continuity of real functions, the derivative and its applications, the integral, and the integration and differentiation of trigonometric, exponential and logarithmic functions. Not open to the student with credit in MAT 166. **Prerequisite(s):** ACT math score of 25 or higher or a grade of C or higher in MAT 116 and MAT 119.

**CORE 42:** MOTR MATH OTHER; Mathematical Sciences

** MAT 177 Calculus with Analytic Geometry II Credits: 5**

**Typically Offered:** Fall, Spring.

**Course Description:** The second of three sequenced courses in calculus. Includes the study of applications of integration, integration techniques, L'Hopital's Rule, improper integrals, infinite series, conic sections, plane curves, parametric equations, and polar coordinates. **Prerequisite(s):** A grade of C or higher in MAT 166 or MAT 167.

** MAT 201 Combinatorics Credits: 3**

**Typically Offered:** Spring (odd-numbered years).

**Course Description:** A study of the basic techniques for counting finite discrete structures subject to given constraints. Combinatorial problems from various areas of mathematics will be explored. **Prerequisite(s):** A grade of C or higher in MAT 147, MAT 166, or MAT 167.

** MAT 206 Mathematical Transitions Credits: 3**

**Typically Offered:** Fall.

**Course Description:** This course is designed to prepare students thoroughly for the transition into university level mathematics. It main content is the development of formal proof, concise logical reasoning and the ability to write mathematically. Topics include but not limited to proof techniques, induction, number systems, function and sets, complex numbers, series and sequences, matrices. LAS Writing. **Prerequisite(s):** Credit or concurrent enrollment in MAT 177.

** MAT 217 Mathematics and Technology Credits: 3**

**Typically Offered:** Spring (odd-numbered years).

**Course Description:** An introduction to numerical methods and symbolic computation using a computer algebra system. Iterative and recursive algorithms will be used to explore mathematical problem-solving techniques such as factoring and simplifying expressions, solving equations, differentiation and integration, and plotting curves and surfaces. LAS Computer Literacy. **Prerequisite(s):** Credit or concurrent enrollment in MAT 177.

** MAT 263 History of Mathematics Credits: 3**

**Typically Offered:** Fall (even-numbered years).

**Course Description:** A study of the most important proofs from the history of mathematics and the lives of the mathematicians who produced them. **Prerequisite(s):** Credit or concurrent enrollment in MAT 177.

** MAT 283 Introduction to Research Methods in Mathematics Credits: 1-2**

**Typically Offered:** Departmental Discretion.

**Course Description:** Introduction to basic research methods in Mathematics. Individual and team projects involving methods for solving mathematics-related research problems. **Prerequisite(s):** Departmental approval.

** MAT 287 Calculus with Analytic Geometry III Credits: 5**

**Typically Offered:** Spring.

**Course Description:** The third of three sequenced courses in calculus. Includes the study of solid analytic geometry, vectors and vector calculus, partial differentiation, and multiple integrals. **Prerequisite(s):** A grade of C or higher in MAT 177.

** MAT 306 Linear Algebra Credits: 3**

**Typically Offered:** Spring.

**Course Description:** Vector spaces, linear transformations, matrix operations, determinants, matrix inversion, linear systems, eigenvalues, canonical forms. **Prerequisite(s):** Credit or concurrent enrollment in MAT 287.

** MAT 315 Topics in Geometry Credits: 3**

**Typically Offered:** Spring (even-numbered years).

**Course Description:** Synthetic projective geometry; basic symbolic logic; mathematical systems and finite geometries; algebraic geometry; non-Euclidean geometry. **Prerequisite(s):** Credit or concurrent enrollment in MAT 306.

** MAT 317 Differential Equations Credits: 3**

**Typically Offered:** Fall (even-numbered years).

**Course Description:** Common types of ordinary differential equations; differential operators, Laplace transforms; systems of differential equations; partial differential equations; Fourier series; applications. LAS Computer Literacy. **Prerequisite(s):** A grade of C or higher in both MAT 287 and MAT 306.

** MAT 332 Probability Theory Credits: 3**

**Typically Offered:** Fall (odd-numbered years).

**Course Description:** The study of discrete and continuous probability distributions. **Prerequisite(s):** A grade of C or higher in MAT 177.

** MAT 352 Mathematics for Elementary and Middle School Teachers I Credits: 3**

**Typically Offered:** Fall, Spring.

**Course Description:** The development of a teacher's understanding of elementary school mathematics, including the study of whole number arithmetic, mental mathematics, pre-algebra, problem solving, number theory, and operations on fractions, integers, decimals, and irrational numbers. Not applicable to the major or minor in mathematics. Elementary and Middle School education majors may not take the course until officially admitted to teacher education. **Prerequisite(s):** A grade of C or higher in MAT 112 or MAT 116.

** MAT 353 Mathematics for Elementary and Middle School Teachers II Credits: 3**

**Typically Offered:** Fall, Spring.

**Course Description:** Introductory geometry; geometric constructions; measurement geometry; motion geometry; introductory probability and statistics. Not applicable to the major or minor in mathematics. **Prerequisite(s):** A grade of C or higher in MAT 352.

** MAT 401 Advanced Modeling Credits: 3**

**Typically Offered:** Spring (odd-numbered years).

**Course Description:** A study of the modeling process including creative and empirical model construction, model analysis, and model research. **Prerequisite(s):** A grade of C or higher in MAT 317.

** MAT 407 Advanced Calculus Credits: 3**

**Typically Offered:** Spring (even-numbered years).

**Course Description:** Elementary topological aspects of the real numbers, sequences, limits and continuity, differentiation, integration, and infinite series. **Prerequisite(s):** A grade of C or higher in MAT 206 and MAT 306.

** MAT 416 Abstract Algebra Credits: 3**

**Typically Offered:** Fall (even-numbered years).

**Course Description:** Groups, rings, and fields; definitions and fundamental theorems; homomorphisms and isomorphisms; polynomials and field extensions. LAS Writing. **Prerequisite(s):** A grade of C or higher in MAT 206 and MAT 306.

** MAT 432 Mathematical Statistics Credits: 3**

**Typically Offered:** Spring (even-numbered years).

**Course Description:** A continuation of MAT 332 to include the theory and applications of estimation, hypothesis testing, regression and correlation, analysis of variance and nonparametric statistics. **Prerequisite(s):** A grade of C or higher in MAT 332.

** MAT 450 Independent Research/Project Credits: 1-3**

**Typically Offered:** Fall, Spring.

**Course Description:** Investigation of a research problem, project, or topic on an individual conference basis. **Prerequisite(s):** Declared Mathematics major, a minimum of 2.5 GPA in major field, a grade of C or higher in MAT 287, and departmental approval.

** MAT 451 Internship in Mathematics Credits: 1-3**

**Typically Offered:** Fall, Spring, Summer.

**Course Description:** An academic program which offers mathematics majors an opportunity to integrate theory with practice. Students work full-time or part-time for a company in a position related to the mathematics major. Anticipated learning objectives are established in a contract agreed to by the student, the company supervisor, and the departmental faculty sponsor. May be repeated for a total of 6 credits. **Prerequisite(s):** Declared Mathematics major, a minimum of 2.5 GPA, MAT 287, and permission of the faculty sponsor.

** MAT 462 Number Theory Credits: 3**

**Typically Offered:** Fall (odd-numbered years).

**Course Description:** Study of divisibility, primes, congruencies, diphantine equations, arithmetic functions, partitions, Fibonacci numbers, and continued fractions. An independent method of study will be used. **Prerequisite(s):** A grade of C or higher in MAT 206.

** MAT 465 Mathematics Teaching: Methods and Materials Credits: 3**

**Typically Offered:** Fall (even-numbered years).

**Course Description:** Techniques, materials, and resources used in the mathematics curriculum in secondary schools. Not appropriate for the major in mathematics without teacher certification. **Prerequisite(s):** A grade of C or higher in EDU 203 and credit or concurrent enrollment in MAT 206.

** MAT 470 Seminar in Mathematics Credits: 3**

**Typically Offered:** Fall (odd-numbered years).

**Course Description:** Selected topics in mathematics. May be repeated for credit. **Prerequisite(s):** Departmental approval.