Department of Mathematics and Statistics

MA-100. Fundamentals of College Algebra. 3.00 Credits.

Brief review of real numbers and variable expressions; solving equations and inequalities; linear functions; polynomials; factoring; rational expressions; rational exponents and radicals.

MA-101. Precalculus. 3.00 Credits.

Brief review of basic algebraic concepts; functions (general concepts, linear, quadratic); polynomial and rational functions; exponential and logarithmic functions; summary of trigonometric functions; application problems. Course Type(s): Core curriculum course.

MA-102. Mathematics for the Liberal Arts. 3.00 Credits.

Topics to be chosen from the following: problem solving; logic; consumer mathematics; personal finance; voting and apportionment; mathematics and the arts; mathematics of growth; graph theory; number theory. Additional topics may be covered at the discretion of the instructor. This course will contain an integrated review component. Course Type(s): Core curriculum course.

MA-103. Probability & Statistics for Liberal Art. 3.00 Credits.

Set theory, finite probability, collection of data, graphical displays of data, summary statistics, the normal distribution, linear regression and correlation. Additional topics may be covered at the discretion of the instructor. This course will contain an integrated review component. Course Type(s): Math.

MA-105. Elementary Applied Mathematics. 3.00 Credits.

Introduction to ways in which everyday situations can be modeled and studied mathematically: networks, voting, coding, and finance. Course Type(s): Core curriculum course.

MA-106. Introduction to Probability & Statistics. 3.00 Credits.

Describing data collections using measures (e.g., center and spread) and graphical representations (e.g., histograms and plots), estimating probabilities for discrete and continuous distributions, and making statistical inferences using selected approaches (e.g., confidence intervals, hypothesis testing, linear regression analysis). Course Type(s): Math.

MA-107. Topics in Contemporary Mathematics. 3.00 Credits.

Topics vary by term. Examples may include but are not limited to the following: logic; consumer mathematics; personal finance; voting and apportionment; mathematics and the arts; mathematics of growth; graph theory; number theory; coding theory. Course Type(s): Math.

MA-108. Mathematics for Educators I. 3.00 Credits.

In-depth study of the concepts that underlie the mathematics of the elementary school curriculum in the United States. Topics include set theory, numeration, mathematical thinking, number theory, and the four basic operations of mathematics. This course is intended for individuals who expect to teach in primary school. Course Type(s): Core curriculum course.

MA-109. Mathematics for Educators II. 3.00 Credits.

Topics include the real number system, proportional reasoning, statistics, probability, and measurement systems. This course is intended for individuals who expect to teach in primary school. Course Type(s): Core curriculum course.

MA-123. Elementary Calculus I. 3.00 Credits.

Differential calculus of polynomial and rational functions; applications of calculus to problems in business and economics. Course Type(s): Math, Stem.

MA-124. Elementary Calculus II. 3.00 Credits.

Exponential and logarithmic functions, integral calculus, differential equations; applications to problems in business and economics. Prerequisites: MA-123 OR MA-133; Course Type(s): Math, Stem.

MA-125. Intermediate Calculus. 2.00 Credits.

This course is intended for students (e.g., computer science majors) who have completed 6 credits of calculus and who now wish to take Multivariable Calculus. Prerequisites: MA-124.

MA-132. Statistics for Life Sciences. 3.00 Credits.

Basic methods of data analysis. Topics include displaying data graphically; measures of central tendency and variability; probability concepts; normal, t, chi-square, and F distributions; confidence intervals and estimation; hypothesis testing; regression and correlation analysis; analysis of variance; contingency tables; use of statistical software. Biological applications are emphasized. Course Type(s): Math, Stem.

MA-133. Calculus for the Life Sciences. 4.00 Credits.

Polynomial, rational, and trigonometric functions; limits, continuity, derivatives; graphs, maximum-minimum problems; exponential and logarithmic functions, growth and decay problems integrals, basic integration techniques, applications of the integral. Biological applications are emphasized. Course Type(s): Math, Stem.

MA-143. Differential Calculus. 4.00 Credits.

Limits and continuity; the derivative; chain rule and differentiation of algebraic functions; extrema; applications; the Mean Value Theorem. Course Type(s): Math, Stem.

MA-144. Integral Calculus. 4.00 Credits.

The definite integral and the Fundamental Theorem of the Calculus; applications; transcendental functions; methods of integration. Prerequisites: MA-133 OR MA-143; Course Type(s): Math, Stem.

MA-210. Mathematics for the Health Sciences. 3.00 Credits.

As students in this course master foundational mathematics, they will identify the application of mathematics to various professions in the health sciences and allied fields. The concepts they study include but are not limited to the fundamentals of mathematical computation; metric, household, apothecary and other measurement systems; scientific notation, exponents, and logarithms; ratios, proportions, direct and inverse variations, and percentages; formulas and literal equations; medical dosage calculations; and problem-solving strategies pertinent to applications in the health sciences embedded within real-life scenarios. Course Type(s): Math, Stem.

MA-212. Elementary Statistics. 3.00 Credits.

Descriptive statistics, laws of probability, some standard probability functions, central limit theorem, confidence intervals, hypothesis testing. Course Type(s): Math, Stem.

MA-214. Mathematics of Finance. 3.00 Credits.

Interest, partial payment, ordinary annuities, depreciation, amortization, sinking funds bonds, deferred annuities, perpetuities probability, mortality tables, life annuities, life insurance. Prerequisites: MA-106 OR MA-132 OR MA-212 OR MA-124 OR MA-133 OR MA-144 OR MA-273 OR INSTRUCTOR PERMISSION.

MA-216. Computer Mathematics. 3.00 Credits.

Number systems, internal representation, errors logic, Boolean algebra, circuits algorithms, efficiency counting, probability. Prerequisites: MA-106 OR MA-132 OR MA-212 OR MA-124 OR MA-133 OR MA-144 OR MA-273 AND CS-180.

MA-218. Quantitative Methods for Business. 3.00 Credits.

Students will explore methods to perform quantitative analysis and make decisions within a business context and elsewhere. Selected topics may include mathematical modeling and sensitivity analysis, techniques for decision making with uncertainty or risk, regression and forecasting models, linear and integer programming with applications such as transportation and assignment models, network models, project management, waiting line or queuing theory, and probability theory with Markov analysis. Course Type(s): Math, Stem.

MA-222. Intermediate Statistics. 3.00 Credits.

This course extends the statistical data analysis introduced in MA-212 or MA-132. Students will explore additional topics in parametric and non-parametric methods, including analysis of variance (ANOVA) and multiple regression. Learner will also actively design statistical experiments and interpret data sets. Students will use statistical software and computer programming as tools to assist with data analysis. Prerequisites: MA-212 OR MA-132 OR PERMISSION OF INSTRUCTOR; Course Type(s): Math, Stem.

MA-247. Introductory Linear Algebra. 3.00 Credits.

Matrix calculus, vector spaces, linear independence and bases, linear transformations on vector spaces, eigenvalues and eigenvectors. Prerequisites: MA-123, OR MA-133, OR MA-143 OR PERMISSION OF INSTRUCTOR.

MA-248. Math Tech Lab. 1.00 Credit.

Software for numerical and symbolic computations (such as MatLab and Mathematica), and mathematical typesetting (such as TeX) Prerequisites: MA-144 OR MA-125 ; OR INSTRUCTOR PERMISSION Course Type(s): Lab Courses.

MA-250. Transition to Advanced Mathematics. 3.00 Credits.

Students will learn the language and tools necessary for advanced mathematics, including sets, logic, various types of mathematical proof (direct, contradiction, contrapositive, induction, disproof), functions, and relations, with an emphasis on producing concise and rigorous arguments. Prerequisites: MA-101 OR MA-105 OR MA-106 OR MA-108 OR MA-109 OR MA-123 OR MA-124 OR MA-125 OR MA-132 OR MA-133 OR MA-143 OR MA-144 OR MA-212 OR MA-218 OR MA-222 OR MA-273 OR MA-274.

MA-273. Multivariable Calculus I. 4.00 Credits.

Integration techniques, 2-and-3 dimensional vector geometry; functions of several variables, limits, directional derivatives, partial differentiation, extrema; double and Triple integrals. Prerequisites: MA-144 OR MA-125(12089); Course Type(s): Math, Stem.

MA-274. Multivariable Calculus II. 4.00 Credits.

Limits and L'Hospital's Rule, improper integrals, infinite sequences and series power series, Taylor series, selected topics in multivariable calculus. Prerequisites: MA-273; Course Type(s): Math, Stem.

MA-295. Credited Internships. 3.00 Credits.

Co-operative work experience. Course Type(s): Independent Study.

MA-302. Elem Math Functions for Mid Sc. 3.00 Credits.

Functions and equations, arithmetic and geometric sequences, mathematical methods, linear functions, difference equations, quadratic and cubic functions, exponential and logarithmic functions, domain and range, fitting a line to data and modeling, and associated mathematical processes. Methods for learning and teaching the topics are addressed concurrently with the content.

MA-304. Stats Prob & Discrete Math Middle Schoo. 3.00 Credits.

Topics include collecting, summarizing, and interpreting data, sampling techniques, fundamental concepts of probability, counting techniques, Euler and Hamiltonian circuits, shortest distance algorithms, and associated mathematical processes. Methods for learning and teaching the topics are addressed concurrently with the content.

MA-306. Geometry for Middle School. 3.00 Credits.

Metric and US standard measurement, inductive and deductive reasoning, Euclidean geometry of two and three-dimensional figures including, but not limited to: area, perimeter, volume, surface area, congruency, similarity, rotation and transformation. Coordinate geometry, iteration and fractals, geometry in the world around us, and associated mathematical processes. Methods for learning and teaching the topics are addressed concurrently with the content.

MA-316. Intermediate Discrete Mathematics. 3.00 Credits.

Students will engage with noncontinuous mathematics, the mathematical language of computer science, information theory, etc. Topics may include but are not limited to graph theory, recurrence relations, generating functions, algorithms, partially ordered sets, lattices, and finite geometries. Prerequisites: MA-250.

MA-335. Probability Theory. 3.00 Credits.

Probability spaces, random variables, expectation, variance, standard deviation, binomial, multinomial, and Poisson distributions approximations by the normal distribution, Chebyshev's Inequality. Prerequisites: MA-273.

MA-336. Mathematical Statistics. 3.00 Credits.

Law of large numbers, Central Limit Theorem, estimation of parameters, confidence intervals, test of hypotheses, sampling, regression, analysis of variance. Prerequisites: MA-124 OR MA-144 OR MA-273 TAKING MA-335 AS A PRE-REQUISITE IS RECOMMENDED, THOUGH NOT REQUIRED.

MA-337. Statistical Computing With R. 3.00 Credits.

In this course students explore the fundamental principles of statistical computing in R. Learners will engage in topics such as the fundamentals of R, data types, matrices, data frames, control structures, input/output, libraries (e.g. ggplot2), visualizations, statistical inference, and simulations. Prerequisites: MA-132 OR MA-212 OR MA-222 OR MA-335 OR MA-336 OR PERMISSION OF INSTRUCTOR.

MA-338. Regression Analysis. 3.00 Credits.

In this course, students explore the applications of regression analysis and techniques of model building. Learners will engage in topics such as simple and multiple linear regression models, correlation, estimation and prediction, confidence intervals, residuals, common pitfalls of regression analysis and possible corrections, transformations, interactions, and model building. Statistical software, such as R, will be used. Prerequisites: MA-132 OR MA-212 OR MA-222 OR MA-336 OR EC-300 OR PERMISSION OF INSTRUCTOR.

MA-347. Topics in Linear Algebra. 3.00 Credits.

Students will expand conceptual knowledge developed in MA-247 as they explore intermediate topics in linear algebra spanning from the theoretical to the applied. Possible topics include abstract vector spaces, orthogonal sets, matrix decomposition/factorization, least squares, iterative methods, Vandermonde matrices, and polynomial interpolation and approximation. Prerequisites: MA-247.

MA-350. College Geometry. 3.00 Credits.

Study of Euclidean and other geometries from an axiomatic point of view. Prerequisites: MA-250 OR PERMISSION OF INSTRUCTOR.

MA-375. Advanced Calculus. 3.00 Credits.

Real numbers, sequences, limits of sequences and functions, continuity, differentiation, theory of integration, pointwise and uniform convergence. Prerequisites: MA-274.

MA-377. Ordinary Differential Equation. 3.00 Credits.

Existence and uniqueness of solutions, first and second order equations, systems of linear differential equations, solutions in power series applications. Prerequisites: MA-144 OR PERMISSION OF THE INSTRUCTOR.

MA-379. Differential Equations for Engineers. 4.00 Credits.

This Course is an Expanded Version of MA-377 and includes the following additional topics: The Laplace Transform, Partial Differential Equations and Fourier Series. Prerequisites: MA-144 OR PERMISSION OF THE INSTRUCTOR.

MA-382. Mathematical Modeling. 3.00 Credits.

The nature and philosophy of model building algebraic and analytic models in the social, physical, and life sciences. Prerequisites: MA-273 MA-247 OR MA-250.

MA-385. Topics in Applied Mathematics. 3.00 Credits.

Topics vary by term. Prerequisites: MA-273 MA-247 OR MA-250.

MA-387. Topics in Mathematics. 3.00 Credits.

Topics vary by term. Prerequisites: MA-273 MA-247 OR MA-250.

MA-389. Topics in Statistics. 3.00 Credits.

Topics vary by term. Examples may include but are not limited to the following: Analysis of Variance and Multivariate Statistical Analysis, Non-Parametric or Distribution-Free Inferential Statistics, Regression Analysis, Design of Experiments and Data Interpretation, Bayesian Statistics, and Statistical Programming. Prerequisites: MA-132 OR MA-212 OR MA-222 OR MA-336 OR EC-300 OR PS-200 OR SO-448 OR PERMISSION OF INSTRUCTOR.

MA-399. Independent Study. 3.00 Credits.

MA-400. History of Mathematics. 3.00 Credits.

Learners will examine various mathematical concepts and constructs, exploring the diverse cultural contexts and historical perspectives that framed them students will solve representative problems that illuminate and illustrate these mathematical discoveries and developments from across the centuries, from antiquity through the modern era. Prerequisites: MA-124 OR MA-144 OR MA-273, AND MA-250 OR MA-247, OR PERMISSION OF INSTRUCTOR.

MA-417. Introduction to Topology. 3.00 Credits.

In this survey course of introductory pure mathematical topics in topology, students will explore the nature of abstract geometric spaces. Learners will generalize the concepts of continuity and connectedness to general spaces, construct new spaces from old ones using the product and quotient topologies, and apply algebraic invariants such as the Euler number and fundamental group to show that two spaces cannot be deformed into one another. Prerequisites: MA-250, MA-124 OR MA-133 OR MA-144 OR MA-273.

MA-441. Modern Algebra. 3.00 Credits.

Introduction to modern algebraic concepts the theory of groups, rings, and fields. Prerequisites: MA-250 AND MA-247 OR PERMISSION OF INSTRUCTOR.

MA-442. Topics in Modern Algebra. 3.00 Credits.

Topics may include but are not limited to the following: group theory, symmetry groups, Sylow theorems, algebraic coding theory, finite field theory, field extensions, Galois theory, and constructible numbers. Prerequisites: MA-441 OR PERMISSION OF INSTRUCTOR.

MA-467. Functions of a Complex Variable. 3.00 Credits.

Complex numbers, analytic functions, elementary functions, mapping of elementary functions, integrals. Prerequisites: MA-274.

MA-481. Numerical Analysis. 3.00 Credits.

Use of the computer to solve numerical problems. Error analysis solutions of equations linear systems interpolation approximation integration. Prerequisites: MA-273 MA-247 CS-180.

MA-490. Senior Seminar in Mathematics. 3.00 Credits.

In this capstone course, graduating senior Mathematics majors will explore areas of mathematics that draw on many of the previous courses, emphasizing the connection between different areas of mathematics. This culminating academic experience for the major will include writing, presentations, and contemporary mathematics research. Prerequisites: MA-441 OR MA-400 OR PERMISSION OF INSTRUCTOR; SENIOR MATHEMATICS MAJORS ONLY. Course Type(s): Capstone, Writing Intensive.