# Courses

**MATH-090. Introductory Algebra and Probability using ALEKS. 0 semester hours **

A credit/no credit course moving from elementary algebra through more complex concepts, with the objective of producing readiness for college-level work in mathematics and mathrelated courses. Topics include real numbers, simple operations on polynomials, solving and graphing linear equations, algebraic fractions, fractional equations, and exponential and logarithmic functions, as well as other more advanced topics which will prepare students for statistics or pre-calculus if desired. This course is taught using a web-based, artificially intelligent assessment and learning system called ALEKS which individualizes the curriculum to the students needs. A grade of 80% or higher in the respective ALEKS course (Math Placement Level 22, 23 or 24) constitutes a passing grade in MATH 090. This course only serves to help students raise the second digit of their math placement score. Enrollment requires approval of the Math Workshop Director.

**MATH- 112Q. The Language of Mathematics. 4 semester hours. **

College-level experience with the logic, language and methods of mathematics through the study of topics from a variety of areas of mathematics. Not intended as or suitable for preparation for other mathematics courses. Prerequisite: Math Placement score of 2 suggested. Every year.

**MATH- 118Q. Mathematics for Elementary and Middle School Teachers. 4 semester hours. **

Study of number systems, number theory, operations and algebraic thinking with a special emphasis on the processes of mathematics; problem-solving, reasoning, communicating mathematically, and making connections with mathematical ideas, real world situations, and children’s mathematical thinking. Open only to students intending to major in education. Math Placement score of 2 strongly suggested. Every semester.

**MATH- 119. Geometry with Computer Applications for Elementary and Middle School Teachers. 2 semester hours. **

Study of basic concepts of plane and solid geometry, including topics from Euclidean, transformational, and projective geometry and from topology. Includes computer programming experiences using Logo with a special emphasis on geometry and problem-solving. Prerequisite: MATH 118. Every year.

**MATH- 120Q. Elementary Functions. 4 semester hours. **

Exploration of functions and their graphs and applications of functions in formulating and solving real-world problems. Examination of polynomial, rational, exponential, logarithmic, trigonometric and inverse trig functions. Discussion of limits and continuity. Intended for the student planning to take MATH 131 or 201 but whose high school preparation is insufficient for entering calculus directly. Prerequisite: Math Placement score of 3. Every year.

**MATH- 127Q. Introductory Statistics. 4 semester hours. **

Study of statistics as the science of using data to glean insight into real-world problems. Includes graphical and numerical methods for describing and summarizing data, sampling procedures and experimental design, inferences about the real-world processes that underlie the data, and student projects for collecting and analyzing data. Open to non-majors only. (Note: A student may not receive credit for more than one of the following: Mathematics 127, Mathematics 227, Psychology 201, or Business 210.) Prerequisite: Math Placement score of 2 suggested. Every year.

**MATH- 131Q. Essentials of Calculus. 4 semester hours. **

A one-semester study of the fundamental concepts and techniques of single-variable differential and integral calculus. The majority of applications are drawn from management and the biological and social sciences; in particular, no trigonometric applications are covered. This course is intended to be a terminal course and does not satisfy the prerequisite for MATH 202. A student who plans to take more than one calculus course should enroll in Mathematics 201 instead of this course. (Note: A student cannot receive credit for both MATH 131 and 201.) Prerequisite: MATH 120 or Math Placement score of 4. Every year.

**MATH- 201Q. Calculus I. 4 semester hours. **

First course in a detailed two-semester introduction to a graphical, numerical, and symbolic approach to differential and integral calculus of one variable. (Note: A student cannot receive credit for both MATH 201 and 131.) Prerequisite: Math Placement Level 4 or Math 120Q. Every year.

**MATH- 202Q. Calculus II. 4 semester hours. **

Continuation of Mathematics 201. Prerequisite: MATH 201. Every year.

**MATH 210. Introduction to Proofs. 4 semester hours. **

This course is an introduction to mathematical proof with a focus on discrete mathematics. Intended to “bridge” understanding between computational and theoretical mathematics courses, students will progress in developing critical-reasoning, problem-solving and communication skills. Topics of study include techniques of mathematical proof, logic, set theory, mathematical induction, functions, relations, and countability. Prerequisite: MATH 202 or MATH 261. Writing Intensive. Every year.

**MATH- 212. Multivariable Calculus. 4 semester hours. **

Calculus of functions of several variables and associated analytic geometry. Prerequisite: MATH 202. Every year.

**MATH-215. Differential Equations. 4 semester hours. **

Study of elementary ordinary differential equations, with particular emphasis on techniques and applications using algebraic, numerical and graphical approaches. Prerequisites: MATH 202. Every year.

**MATH- 221. Foundations of Geometry. 4 semester hours. **

Rigorous study of Euclidean and non-Euclidean geometry from an axiomatic point of view. The mathematics is studied in an historical context. Prerequisite: MATH 210. Writing intensive. Usually offered in alternate years.

**MATH- 227. Data Analysis. 4 semester hours. **

This introductory statistics course is designed not only for students majoring or minoring in math, but for any student who would benefit from a more substantial introduction to the field - especially prospective teachers of mathematics or statistics, as well as students considering careers as statisticians or actuaries. Students will learn general principles and techniques for summarizing and organizing data effectively, and will explore the connections between how the data were collected and the scope of conclusions that can be drawn from the data. Also emphasized are the logic and techniques of formal statistical inference, with greater focus on the mathematical underpinnings of these basic statistical procedures than is found in other introductory statistics courses. Software for probability and data analysis is used daily. Prerequisites: Mathematics 131 or 201. (Note: a student may not receive credit for more than one of the following: Mathematics 127, Mathematics 227, Psychology 201, or Business 210.)

**Math - 228. Univariate Probability. 4 semester hours.**

Axiomatic and applied introduction to probability as the mathematical study of random processes and building and assessing stochastic models. Prerequisite: MATH 131 or 202. Usually offered in alternate years.

**MATH- 261. Linear Algebra. 4 semester hours. **

This course is an elementary introduction to matrix theory and linear algebra. Topics of study include systems of linear equations, matrices, determinants, eigenvalues and eigenvectors, vector spaces, linear transformations, and orthogonality. Emphasis is placed on methods, calculations, and applications that are useful in other disciplines. Prerequisite: MATH 201.

**MATH- 280. Topics in Mathematics. Variable credit. **

Study of special topics not included in other departmental offerings. Offered occasionally according to the needs and interests of students and/ or faculty. This course may be repeated for credit.

**MATH- 327. Statistical Modeling. 4 semester hours. **

In this second course in statistics, regression analysis is the main vehicle for illustrating the principles of statistical modeling in real-world contexts. Students will learn strategies for selecting and constructing models, criteria for assessing and comparing models, and tools for making formal inferences using these models. Class sessions include discussion of conceptual issues with practice in data analysis, and they put strong emphasis on interpreting the results of analyses. Students are required to complete projects in which they design studies, collect and analyze data, and present their findings orally and in writing. Prerequisite: Mathematics 127, Mathematics 227, Business 210, or Psychology 201. Writing Intensive. Offered alternate years.

**MATH- 328. Mathematical Statistics. 4 semester hours. **

Theoretical introduction to the concepts and methods of statistical inference and a development of the distribution theory underlying such methods. Prerequisites: MATH 228. Usually offered in alternate years.

**MATH- 337. Statistical Design. 4 semester hours. **

Whereas the introductory statistics course focuses primarily on exploratory and formal analysis of data that have already been observed, this course focuses primarily on how to design the comparative observational and experimental studies in which data are collected for formal analysis. Students will learn: (1) to choose sound and suitable design structures; (2) to recognize the structure of any balanced design built from crossing and nesting; (3) to assess how well standard analysis assumptions fit the given data and to choose a suitable remedy or alternative when appropriate; (4) to decompose any balanced dataset into components corresponding to the factors of a design; (5) to construct appropriate interval estimates and significance tests from such data; and (6) to interpret patterns and formal inferences in relation to relevant applied context. Students are required to complete projects in which they design studies, collect and analyze data, and present their findings orally and in writing. Prerequisite: Mathematics 127, Mathematics 227, Business 210, or Psychology 201. Offered alternate years.

**MATH- 365. Abstract Algebra. 4 semester hours. **

Introduction to various algebraic structures with particular attention to groups. The axiomatic method is emphasized throughout the course. Prerequisites: MATH 261 and 210. Writing intensive. Every year.

**MATH- 370. Real Analysis. 4 semester hours. **

Course in the basic theoretical concepts of single variable calculus: continuity, differentiation, integration and infinite series. Prerequisite: MATH 210. Writing intensive. Every year.

**MATH- 380. Topics in Mathematics. Variable credit. **

Study of special topics not included in other departmental offerings. Offered occasionally according to the needs and interests of students and/ or faculty. This course may be repeated for credit.

**MATH- 460. Senior Seminar. 2 semester hours. **

In this capstone experience for the math major, the student works individually and in groups to synthesize knowledge from and seek interrelationships among areas of mathematics previously encountered. Includes written and oral presentations, bibliographic research, and modeling and problem-solving projects. Writing intensive. Prerequisite: Senior math major status or permission of instructor. Every year.

**MATH- 480. Topics in Mathematics. Variable credit. **

Study of special topics not included in other departmental offerings. Offered occasionally according to the need and interests of students and/or faculty. This course may be repeated for credit.

**MATH- 490. Independent Study. Variable credit. **

Individual study by the advanced student of a topic that is beyond the scope of regular courses. Prerequisite: Approval of the instructor directing the study. This course may be repeated for credit.

**MATH- 491. Internship. Variable credit. **

Open to the junior or senior mathematics major by departmental permission only.

**MATH- 499. Honors Thesis/Project. Variable credit. **

Prerequisite: 3.50 GPA and permission of the department chair.