# Mathematics & Statistics Courses

## Mathematics courses

**110. Great Mathematical Ideas
** Investigation of a variety of great mathematical discoveries past and present. The ideas investigated will not require significant previous mathematical background, but will require the student to actively participate in the process of mathematical discovery. Only by doing mathematics can the creativity, beauty, and mathematical importance of these great ideas be understood. Specific content varies with the course instructor, but may include subjects such as knot theory, origami, game theory, the nature of infinity, or chaos and fractals. Recommended for non-mathematics majors. This course is not open to students who have completed MAT 120 or higher. This course does not count toward a mathematics major or minor. (Mathematics)

**119-120. Calculus of a Single Variable Part I and II**

Differential and integral calculus of functions of one real variable and analytic geometry of two variables. This course emphasizes review of precalculus material and is appropriate for students who feel they need more time in order to succeed in calculus. Prerequisite: three and one-half years of high school mathematics, including trigonometry. Unless a departmental exception is granted, this course combination must be taken in consecutive terms. This course is not open to students who have completed MAT 121 or higher. (Mathematics)

**121. Calculus of a Single Variable
** Differential and integral calculus of functions of one real variable and analytic geometry of two variables. Prerequisites: three and one-half years of high school mathematics, including trigonometry, in addition to an ACT Math score of 25 or above, or SAT Math score of 570 or above, or permission of instructor. This course is not open to students who have completed MAT 120. (Mathematics)

**122. Calculus of Several Variables
** Continuation of Calculus of a Single Variable, including further techniques of integration, vectors, and differential and integral calculus of several variables. Prerequisite: MAT 120 or 121. (Mathematics)

**155. Topics in Mathematics
** See

*Topics Courses*.

**221. Linear Algebra
** Existence and uniqueness of solutions to linear systems. Linear transformations, linear independence, spanning vectors, vector spaces, basis and dimension, orthogonality, eigenvalues and eigenvectors. Students will be required to prepare written and oral presentations on a linear algebra application approved by the instructor. Prerequisites: MAT 120 or 121 and CSC 151 or MAT 122.

**231. Fundamentals of Geometries
** An examination of the assumptions inherent in the axiomatic structures of two-dimensional geometry through the parallel postulate and its alternatives. Additional topics may include projective geometries, finite geometries, coordinates and transformations, tilings, and higher-dimensional objects. Alternate years. Prerequisite: MAT 221.

**234. Complex Variables
** Differential and integral calculus of functions of one complex variable. Analytic and harmonic functions, contour integration, Laurent series, residue theory, and conformal mapping. Alternate years. Prerequisite:MAT 122.

**236. Differential Equations
** This course is about how to predict the future. Mathematical modeling with differential equations, initial value problems and their approximate solutions, systems of differential equations, qualitative solutions, stability analysis and an introduction to chaos, and Laplace transforms. Prerequisites: MAT 122 & 221.

**255-260. Topics in Mathematics
** A topic of mathematics more computationally oriented than proof oriented. See

*Topics Courses*. Prerequisite: MAT 122 and/or 221.

**280/380. Internship**: *See Additional Academic Programs, All-College Independent Study Courses 280/380.*

**290/390. Individual Project**: *See Additional Academic Programs, All-College Independent Study Courses 290/390.*

**301. Introduction to Proof: Number Theory
** An introduction–through the subject of number theory–to the ideas, logic, techniques, and reasoning used in writing a mathematical proof. Divisibility and factorization properties of integers, congruences, prime numbers, Diophantine equations, Fermat's Theorem, Wilson's Theorem, and Euler's Theorem, and applications. Prerequisites: MAT 221 & CSC 151.

**317. Mathematical Modeling
** An introduction to the process and techniques of modeling using tools from linear algebra, differential equations, and other mathematical disciplines. Appropriate mathematics and computational technology, including numerical methods, developed as needed. Models drawn from the physical sciences, life sciences, social sciences, and computing, with extensive use of case studies. Alternate years. Prerequisites: MAT 236 & CSC 140.

**327-328. Modern Algebra I and II**

Formal systems of algebra (groups, rings, integral domains, and fields) and their relations to other disciplines. Prerequisite: MAT 301. Alternate years.

**337-338. Analysis I and II**

Topics from the theory of functions of a real variable. First term will include limits and continuity, differentiation and theories of integration. Second term will extend these results to sequences and series of functions. The second term will include student reading projects and presentations on theory and/or applications related to analysis topics. Prerequisites: MAT 122 and 301. Alternate years.

**361-364. Advanced Topics in Mathematics
** A proof-oriented topic in mathematics. See

*Topics Courses*. Prerequisite: MAT 301.

**511. Extended Research in Mathematics** (1/4)

Developing and proving statements in an interesting area of mathematics which are original to the student. Must be taken over four consecutive terms. Prerequisites: CSC 151, MAT 122, a GPA in the department of 3.0 or higher, and permission of instructor. No more than one course credit of MAT 511 can be earned.

## Statistics courses

There is no departmental major or minor in Statistics. Students interested in entering graduate programs or careers in statistics should prepare by completing the Mathematics major that includes the sequence STA 347-348. It is also recommended that students also take STA 201-202.

**201. Statistical Methods I
** Elementary study of describing data. Data collection, descriptive statistics, estimation, and hypothesis testing as applied to one- and two-variable problems. Prerequisites: Two years of high school algebra, and a writing designated course (W) (Mathematics)

**202. Statistical Methods II
** A continuation of STA 201, Statistical Methods I. This course will explore in more depth several methods of analyzing data. Topics covered include linear regression (simple and multivariate), ANOVA (one- and two-way), and logistic regression (simple and multivariate). Prerequisite: STA 201.

**257. Topics in Statistics
** See

*Topics Courses*.

**347-348. Mathematical Statistics I and II**

Typically the first term covers probability, random variables, sampling distributions and collecting data. The second term covers theory of estimation and hypothesis testing, linear and multiple regression, analysis of variance, and techniques for categorical data. The second term also includes a substantial data analysis project including written and verbal presentations. Prerequisites: MAT 122 and 301. Alternate years.

**390. Individual Project**