# Mathematics (MATH)

**MATH 110. Mathematics for the Liberal Arts. 4**.

The nature of mathematics from cultural, historical and logical viewpoints, stressing relationships between mathematics and other disciplines. Recommended for humanities, fine arts and education majors. Does not count toward the major. Includes emphasis on basic quantitative skills. Fulfills Numeric & Symbolic Engagement requirement.

**MATH 112. Elementary Statistics. 4**.

Descriptive statistics; probability and probability distributions; sampling and sampling distributions; confidence intervals and hypothesis testing; correlation and regression analysis. Emphasis on application and interpretation. Recommended for social science and pre-professional majors; does not count toward the major. Fulfills Numeric & Symbolic Engagement requirement. Offered in 14-week semesters.

**MATH 114. College Algebra. 4.**

Pre-calculus analysis of algebraic, exponential, and logarithmic functions. Recommended for life sciences; does not count towards major. Fulfills Numeric & Symbolic Engagement requirement. Offered in 14-week semesters.

**MATH 115. Elementary Functions. 4.**

Pre-calculus analysis of algebraic, exponential, logarithmic, trigonometric and inverse trigonometric functions. Does not count toward the major. Fulfills Numeric & Symbolic Engagement requirement. Offered in 14-week semesters.

**MATH 116. Trigonometry. 4**.

Analysis and application of trigonometric functions, complex numbers, and vectors. Recommended for natural sciences; does not count towards major. Prerequisite MATH 114 College Algebra or equivalent high school course. Fulfills Numeric & Symbolic Engagement requirement. Offered in the 3-week semesters.

**MATH 150. Special Topics. 1-8.**

May also be offered at 250, 350 and 450 levels. 150 and 250 level courses fulfill the numeric/symbolic engagement requirement.

**MATH 212. Discrete Mathematics. 4**.

Algorithms, recursion, induction, sequences and series, combinatorics, counting techniques, and proof techniques particularly as related to the mathematics of computing. Prerequisite: MATH 220 Calculus I, AP Calculus AB, or above or instructor permission. Fulfills Numeric & Symbolic Engagement requirement. Offered in 14-week semesters.

**MATH 220. Calculus I. 4**.

Limits, derivatives, and integrals of functions of a single variable with applications to optimization. Prerequisite: MATH 114 College Algebra & MATH 116 Trigonometry or MATH 115 Elementary Functions or equivalent high school credit. Fulfills Numeric & Symbolic Engagement requirement. Offered in 14-week semesters.

**MATH 222. Calculus II. 4**.

Techniques of integration, indeterminate forms, infinite series - including Taylor series. Applications to differential equations, physical systems, and probability. Prerequisite: MATH 220 Calculus I or AP Calculus AB. Fulfills Numeric & Symbolic Engagement requirement. Offered in 14-week term of spring semester.

**MATH 224. Calculus III: Multivariable Calculus. 4. **

Sequences, series, and power series. Functions of multiple variables, partial differentiation, and multiple integrals. Application to probability and physical sciences. Prerequisite: MATH 222 Calculus II: Integral Calculus. Fulfills numeric/symbolic engagement requirement (2019). Offered in 12-week term of fall semesters.

**MATH 225. Calculus IV: Vector Calculus. 4. **

Calculus of vector-valued functions and vector fields. Line integrals, surface integrals, and major theorems concerning their calculation. Other relevant topics of interest may vary. Prerequisite: MATH 224 Calculus III: Multivariable Calculus. Fulfills numeric/symbolic engagement requirement. Offered in 14-week semesters.

**MATH 231. Foundations of Mathematics. 4**.

Axiomatic development of an elementary mathematical system, stressing the logical nature and structure of mathematics. Prerequisite: MATH 220 Calculus I or above or instructor permission. Offered in the 14-week term of spring semesters.

**MATH 241. Scientific Computing. 4.**

Scientific Computing is a course designed jointly by Math & Physics faculty to serve students of the sciences. We will use the programming language Python and a variety of the standard libraries (especially numpy, matplotlib, python) to do analyses and simulations. Emphasizes the documentation and presentation of results to peers. Offered in the 3-week semester.

**MATH 250. Special Topics. 1-8**.

May also be offered at 150, 350 and 450 levels.

**MATH 260. Independent Study. 1-8.**

May also be offered at 360 and 460 levels.

**MATH 275. Seminar in Mathematics. 1-4**.

Seminars are provided to allow and encourage students and faculty members to pursue topics of mutual interest beyond the scope of regular classes. Seminars may be arranged as extensions of existing courses, as special topics courses, as undergraduate research projects or as honors projects. Students must prearrange seminars with faculty members on or before classes begin; no student may register for a seminar without prior departmental approval. Seminars carry from one to four credits and may be repeated for credit with permission of the department. Lower- and upper-level seminars in selected topics. Prerequisite: permission of the department.

**MATH 290. Internship. 1-8**.

May also be offered at the 390 level.

**MATH 302. Differential Equations. 4**.

Introduction to ordinary differential equations, elementary techniques of solution, theory of existence and uniqueness. Other topics may include systems of ordinary differential equations using matrix techniques, introduction to partial differential equations, Fourier and Laplace transforms and application to solutions. Prerequisite: MATH 222 Calculus II: AP Calc BC or permission of instructor. Offered in 14-week semesters.

**MATH 310. Probability and Statistics. 4**.

Fundamentals of the analysis and interpretation of statistical data, theory and application. Includes descriptive statistics; probability; discrete and continuous random variables, their probability, density and moment-generating function; joint, marginal and conditional probability density functions of several random variables; sampling distributions; estimation; hypothesis testing. Prerequisite: MATH 222 Calculus II:, AP Calculus BC, or permission of instructor. Offered in 14-week semesters.

**MATH 325. Linear Algebra. 4**.

Introduction to systems of linear equations, matrices, linear spaces and linear transformations, including applications of these concepts to other areas of mathematics and to other fields. Prerequisite: MATH 225 Calculus III MATH 220 Calculus I. Offered in 14-week semesters.

**MATH 328. Analytics for Business and Government** (ACCT 328 or ECON 328). ** 4**.

This course is a hands-on introduction to business analytics. In this course, students will learn to convert quantitative data into information that can be used to help guide business/government decision making. This course provides students with the fundamental concepts and tools needed to understand the emerging role of business analytics in organizations. Students will apply modern data mining tools to various data sets in an analytical software environment. Emphasis is placed on concepts, applications, and interpretation of results as well as professional skills like communication, teamwork, and presentation. Prerequisite: ECON 222 or permission of instructor. Offered in 14-week semesters.

**MATH 330. Statistical Methods. 4**.

This course is a hands-on introduction to statistical learning methods using a computer programming language such as R or Python. Statistical learning refers to a set of tools for modeling and understanding complex data sets. This course covers many statistical learning methods such as estimation, linear and multiple regression, clustering and classification, ANOVA, and non-parametric analysis. In addition to programming techniques for statistical learning methods, students will work on professional skills including communication, teamwork, and presentation. The course is to be taught Offered in the 3 week semester. Prerequisite: MATH 112 or MATH 310.

**MATH 345. Modern Geometry. 4**.

Topics chosen from Euclidean, hyperbolic, elliptic, projective, affine, etc., geometry emphasizing axiomatic development and/or physical application with content dependent upon student interest and background. Especially recommended for students interested in mathematics education. Prerequisite: MATH 231 Foundations of Mathematics, MATH 212 Discrete Math, or instructor permission. Offered in 14-week semesters.

**MATH 350. Special Topics. 1-8. **

**MATH 360. Independent Study. 1-8. **

**MATH 390. Internship. 1-8. **

**MATH 415. Numerical Analysis. 4**.

Techniques, theory, computer programming and application of approximations of zeros of functions, solutions to systems of equations, integrals and ordinary differential equations. Suggested for majors emphasizing applied mathematics or mathematical physics. Prerequisite: MATH 325 Linear Algebra, computer literacy. Recommended: MATH 212 Discrete Math or MATH 231 Foundations of Mathematics, CTIS 210 Introduction to Computer Programming. Offered in 14-week semesters.

**MATH 430. Modern Algebra. 4.** Study of algebraic structures such as groups, rings and fields and their morphisms. Suggested for majors emphasizing theoretical mathematics or interested in mathematics education. Prerequisite: MATH 212 Discrete Math or MATH 231 Foundations of Mathematics. Recommended: MATH 325 Linear Algebra. Offered in 14-week semesters.

**MATH 435. Real Analysis. 4**. Rigorous study of real functions including topics from limits, sequences, series, differentiation and integration. Suggested for majors emphasizing theoretical mathematics or mathematical physics. Prerequisites: MATH 222 Calculus II and one of MATH 212 Discrete Math or MATH 231 Foundations of Mathematics. Offered in 14-week semesters.

**MATH 445. Topology. 4**.

Topics in point-set, geometric, general, or algebraic topology with content dependent on student and instructor interest. Suggested for majors emphasizing theoretical mathematics. Prerequisite: MATH 231 Foundations of Mathematics or MATH 212 Discrete Math. Offered in 14-week semesters.

**MATH 450. Special Topics. 1-8. **

**MATH 460. Independent Study. 1-8. **

**MATH 470. Senior Thesis. 1-8.**

**MATH 475. Seminar in Mathematics. 1-4.** Seminars are provided to allow and encourage students and faculty members to pursue topics of mutual interest beyond the scope of regular classes. Seminars may be arranged as extensions of existing courses, as special topics courses, as undergraduate research projects or as honors projects. Students must prearrange seminars with faculty members on or before the first day of classes; no student may register for a seminar without prior departmental approval. Seminars carry 1 - 4 credits and may be repeated for credit with permission of the department. Lower- and upper-level seminars in selected topics. Prerequisite: permission of the department.

**MATH 490. Departmental Honors. 1-8. **

For those writing a thesis in mathematics. Prerequisite: permission of department.