# Mathematics

## Faculty

**Interim Chair:** Walt Stangl, Ph.D.

**Professor:** Lin

**Associate Professor:** DiMuro, Stangl, Wilson, Yan

## Courses

### Mathematics (MATH)

**MATH 101 - Precalculus Mathematics Credits 3**

Sets, the real number system, relations, functions, graphs, algebraic processes, inequalities, trigonometric functions, exponential and logarithmic functions, introduction to sequences. **Notes:** Approved for Core Curriculum Math credit. May not be counted toward the major. **Grade Mode:** A. **Prerequisites:** Three years of high school mathematics.

**Restrictions:** Must be Undergraduate Level.

**MATH 102 - Topics in Mathematics Credits 1-3**

Topics in mathematics selected from Core Curriculum mathematics classes. Arranged in conjunction with the individual needs of the student. **Notes:** Approved for Core Curriculum Math credit. **Grade Mode:** A. **Restrictions:** Must be Undergraduate Level.

**MATH 103 - Calculus for Management Sciences Credits 3**

Fundamental principles of differential and integral calculus. Applications chosen mainly from the management sciences. **Notes:** Approved for Core Curriculum Math credit. Students must pass prerequisite online Pre-Business Calculus Course (free/no credit) prior to taking the course. **Grade Mode:** A, N. **Restrictions:** Must be Undergraduate Level.

**MATH 105 - Calculus I Credits 4**

Limits, differentiation and integration of rational and trigonometric functions, with applications. **Notes:** Approved for Core Curriculum Math credit. **Grade Mode:** A. **Prerequisites:** Four years of high school mathematics.

**Restrictions:** Must be Undergraduate Level.

**MATH 106 - Calculus II Credits 4**

Differentiation and integration of logarithmic, exponential and inverse trigonometric functions; various methods of integration; infinite sequences and series; parametric equations, polar coordinates. **Grade Mode:** A. **Prerequisites:** MATH 105.

**Restrictions:** Must be Undergraduate Level.

**MATH 112 - Discrete Structures Credits 3**

Elementary properties of sets, discrete probability and combinatorial analysis, graphs, relations, orderings, functions, simple algebraic structures, binary arithmetic and other bases, methods of proof. **Grade Mode:** A. **Prerequisites:** Three years of high school mathematics.

**Restrictions:** Must be Undergraduate Level.

**MATH 117 - Fundamentals of Mathematics for Elementary Teachers I Credits 3**

Problem solving, set theory, whole numbers, number theory, integers, rational numbers as fractions, decimals, percents, and real numbers. Use of manipulatives. **Notes:** Cannot be counted toward the Mathematics major. Typically offered in Fall. **Grade Mode:** A. **Restrictions:** Must be Liberal Stds Multidisciplinary (LSMD), Liberal Studies Elementary Ed (LSEE), Interdisciplinary Education (INED) or Liberal Studies (LELS); and Undergraduate Level.

**MATH 118 - Fundamentals of Mathematics for Elementary Teachers II Credits 3**

Introductory geometry, congruence, symmetry, measurement, algebra and coordinate geometry, statistics, probability. Use of manipulatives. **Notes:** Cannot be counted toward the Mathematics major. Typically offered in Spring. **Grade Mode:** A. **Restrictions:** Must be Liberal Stds Multidisciplinary (LSMD), Liberal Studies Elementary Ed (LSEE), Interdisciplinary Education (INED) or Liberal Studies (LELS); and Undergraduate Level.

**MATH 120 - The Nature of Mathematics Credits 3**

Selected topics in mathematics with consideration of historical development and related philosophical issues. Designed to meet the Core Curriculum requirement in mathematics for liberal arts students. **Notes:** Approved for Core Curriculum Math credit. May not be counted toward the Mathematics major. Credit given for either 120 or 130, not both. **Grade Mode:** A. **Restrictions:** Must not be Mathematical Science (MASC); and must be Undergraduate Level.

**MATH 121 - Quantitative Reasoning for the Natural Sciences Credit 1**

QR is using the math you already know to better understand the world. This course will cover important mathematical ideas and problem solving skills in the context of the natural sciences such as biology, chemistry, physics, and environmental science. Topics may include: ratios, rates, percentages, units, descriptive statistics, linear and exponential modeling, correlation, logic, probability. Conceptual understanding and application will be emphasized. **Notes:** Approved for Core Curriculum credit. Designed to be taken with concurrently with your BIOS, CHEM, PHSC, or ENVR Core requirement, although concurrent enrollment is not required. Designed to be taken before MATH 123. **Grade Mode:** A. **Restrictions:** Must be Undergraduate Level.

**MATH 122 - Quantitative Reasoning for the Behavioral Sciences Credit 1**

QR is using the math you already know to better understand the world. This course will cover important mathematical ideas and problem solving skills in the context of psychology, sociology, and anthropology. Topics may include: ratios, rates, percentages, units, descriptive statistics, linear and exponential modeling, correlation, logic, probability. Conceptual understanding and application will be emphasized. **Notes:** Approved for Core Curriculum credit. Designed to be taken with your ANTH, PSYC, or SOCI Core requirement, although concurrent enrollment is not required. **Grade Mode:** A. **Restrictions:** Must be Undergraduate Level.

**MATH 123 - Quantitative Reasoning Seminar Credit 1**

QR is using the math you already know to better understand the world. The format is primarily a seminar, although some instruction on QR topics will be given as needed. Topics may include: ratios, rates, percentages, units, descriptive statistics, linear and exponential modeling, correlation, logic, probability. Conceptual understanding and application will be emphasized. **Notes:** Approved for Core Curriculum credit. This course is designed to be taken concurrently with ENGL 313, providing support for the capstone QR paper. Designed to be taken after MATH 121.**Grade Mode:** A. **Restrictions:** Must be Undergraduate Level.

**MATH 130 - Honors Nature of Mathematics Credits 3**

A historical, thematic and integrative study of the nature of mathematics using selected topics. Readings in primary source material. Mathematical content includes number theory, geometries and concepts of calculus. **Notes:** Approved for Core Curriculum Math credit. May be counted toward the Mathematics minor. Credit given for either 120 or 130, not both. **Grade Mode:** A. **Prerequisites:** MATH 101 or equivalent.

**Restrictions:** Must be Undergraduate Level.

**MATH 190 - Business Statistics Credits 3**

Collection and presentation of business data, central tendency and dispersion measures for business analysis, sampling and inference for confidence intervals and hypothesis testing, business forecasting with simple and multiple regression, index numbers. **Notes:** Approved for Core Curriculum Math credit. **Grade Mode:** A. **Restrictions:** Must be Undergraduate Level.

**MATH 204 - Introduction to Abstract Math Credits 3**

Set theory, Cartesian products, equivalence relations, images and inverse images, induction, recursions, inequalities, and field axioms. Emphasis on how to discover, write and present proofs. **Grade Mode:** A. **Prerequisites:** MATH 105.

**Restrictions:** Must be Undergraduate Level.

**MATH 205 - Calculus III Credits 4**

Functions of two and three variables, partial differentiation, multiple integration, curves and surfaces in three dimensional space. **Grade Mode:** A. **Prerequisites:** MATH 106.

**Restrictions:** Must be Undergraduate Level.

**MATH 210 - Introduction to Probability and Statistics Credits 3**

Nature of statistical methods, description of sample data, fundamental concepts of probability, probability distributions, sampling, estimation, correlation and regression, application of same. **Notes:** Approved for Core Curriculum Math credit. **Grade Mode:** A. **Restrictions:** Must be Undergraduate Level.

**MATH 291 - Linear Algebra Credits 3**

Topics from matrices, determinants, linear transformations and vector spaces. **Grade Mode:** A. **Prerequisites:** MATH 106.

**Restrictions:** Must be Undergraduate Level.

**MATH 305 - Introduction to Real Analysis I Credits 3**

The real number system, elementary topological concepts in Cartesian spaces, convergence, continuity, derivatives and integrals. **When Offered:** Alternate years. **Grade Mode:** A. **Prerequisites:** MATH 204 and MATH 205.

**Restrictions:** Must be Undergraduate Level.

**MATH 315 - Abstract Algebra I Credits 3**

Introduction to abstract algebra with topics from elementary ring, field and group theories. Emphasis on ring of integers, congruences, polynomial domains, permutation groups. **When Offered:** Alternate years. **Grade Mode:** A. **Prerequisites:** MATH 204 and MATH 291.

**Restrictions:** Must be Undergraduate Level.

**MATH 318 - Biostatistics Credits 3**

Prepares the student for biostatistical application essential to practice in evidence-based professions. Content includes: descriptive statistics; probability theory and rules; discrete and continuous probability distributions; sampling distributions; confidence intervals; hypothesis testing; experimental design; ANOVA; linear and multiple regression; contingency table analysis; non-parametrics; survival analysis; discussion of the use of statistics in journal articles. **Notes:** Approved for Core Curriculum Math credit. Credit given for only one of 210 and 318. **Grade Mode:** A. **Restrictions:** Must be Undergraduate Level.

**MATH 321 - Numerical Analysis Credits 3**

Functions of one variable, approximate numerical solutions of non-linear equations and systems of linear equations, interpolation theory, numerical differentiation and integration, numerical solutions of ordinary differential equations. **When Offered:** Alternate years. **Grade Mode:** A. **Prerequisites:** MATH 291, CSCI 105.

**Restrictions:** Must be Undergraduate Level.

**MATH 326 - Mathematics CSET Preparation Credit 1**

Review of the subject matter of the Subtests of the CSET Mathematics exam. Test-taking strategies. **Notes:** May be taken multiple times for credit. Does not count toward the major. **Grade Mode:** A. **Restrictions:** Must be Undergraduate Level.

**MATH 331 - Probability Credits 3**

Samples spaces, axioms and elementary theorems of probability, combinatorics, independence, conditional probability, Bayes' Theorem, one and higher dimensional random variables, special and multivariate distributions. **When Offered:** Alternate years. **Grade Mode:** A. **Prerequisites:** MATH 204 and MATH 205.

**Restrictions:** Must be Undergraduate Level.

**MATH 332 - Statistics Credits 3**

Estimation: consistency, unbiasedness, maximum likelihood, confidence intervals. Hypothesis-testing; type I and II errors, likelihood ratio tests, test for means and variances; regression and correlation, Chi-square tests, decision theory, nonparametric statistics; application of statistical methods. **When Offered:** Alternate years. **Grade Mode:** A. **Prerequisites:** MATH 331.

**Restrictions:** Must be Undergraduate Level.

**MATH 333 - Operations Research Credits 3**

Mathematical foundations of model building, optimization, linear programming models, game theoretic models. **Grade Mode:** A. **Prerequisites:** MATH 105, CSCI 105.

**Restrictions:** Must be Undergraduate Level.

**MATH 335 - Ordinary Differential Equations Credits 3**

First order differential equations, second order linear differential equations, power series solutions, Laplace transforms, systems of first order linear equations. **When Offered:** Spring. **Grade Mode:** A. **Prerequisites:** MATH 205.

**Restrictions:** Must be Undergraduate Level.

**MATH 336 - Mathematical Methods in Physics Credits 3**

This course covers a variety of advanced mathematical techniques essential to the solution of problems in the physical sciences and engineering. Topics include tensors, complex variables, contour integrals, solutions of partial differential equations, boundary-value problems, special functions (such as Bessel functions and Legendre functions), and Fourier series and Fourier and Laplace transforms. **Grade Mode:** A. **Prerequisites:** MATH 335.

**Restrictions:** Must be Undergraduate Level.

**MATH 341 - Classical Geometry Credits 3**

Theorems of Pythagoras, incenters, circumcenters, circles, Euler line, Fermat center. Compass constructions. Solid geometry. Spherical geometry of arcs. Coordinate geometry. **When Offered:** Alternate years. **Grade Mode:** A. **Restrictions:** Must be Undergraduate Level.

**MATH 370 - Readings in Mathematics Credit 1**

Reading of material in a special topic. Colloquium participation. Writing and oral presentation of a research paper. **Notes:** May be taken multiple times for credit. **Grade Mode:** A. **Restrictions:** Must be a Major in Mathematics (MATH) or a Major in Mathematical Science (MASC); and Undergraduate Level.

**MATH 380 - Statistical Consulting Practicum Credits 1-3**

Practical experience of applying statistical methods to real-world statistical consulting problems. Initial meeting with client, converting problem to solvable form, conducting analysis, and presenting results to client. Attention given to 'soft' (consultant-client interaction, effective group work, presentation skills) and 'hard' (analysis use of statistical software) aspects of consulting process. **Notes:** Special approval required. **Grade Mode:** A. **Prerequisites:** MATH 190 or MATH 210 or MATH 318 or MATH 332.

**Restrictions:** Must be Undergraduate Level.

**MATH 410 - Introduction to Real Analysis II Credits 3**

Main theorems in integral calculus. Infinite series of numbers and functions. **When Offered:** Alternate years. **Grade Mode:** A. **Prerequisites:** MATH 305.

**Restrictions:** Must be Undergraduate Level.

**MATH 415 - Number Theory and the History of Mathematics Credits 3**

The history of mathematics from Euclid through the 19th century as seen by exploring developments in number theory including congruences, Diophantine equations, divisibility, theorems of Fermat and Wilson, primitive roots, indices, quadratic reciprocity and the distribution of prime numbers. **When Offered:** Fall, odd years. **Grade Mode:** A. **Prerequisites:** MATH 204.

**Restrictions:** Must be Undergraduate Level.

**MATH 440 - Complex Variables Credits 3**

Complex variables, analytic functions, complex integral theorems, power series, conformal mappings. **When Offered:** Alternate years. **Grade Mode:** A. **Prerequisites:** MATH 205.

**Restrictions:** Must be Undergraduate Level.

**MATH 450 - Abstract Algebra II Credits 3**

Topics from groups, ring and fields. Galois theory. **When Offered:** Alternate years. **Grade Mode:** A. **Prerequisites:** MATH 315.

**Restrictions:** Must be Undergraduate Level.

**MATH 480 - Research Seminar Credits 1-3**

Special studies in mathematics. **Notes:** May be taken multiple times for credit. May involve participation in a Research Experience for Undergraduates (REU) if approved by the Department. **Grade Mode:** A. **Restrictions:** Must be Senior Class; and must be Undergraduate Level.