| |
Mathematics |
| |
-
MAT 100 - Mathematics Bridge
A course covering foundational math concepts. Topics include study skills, numeracy, ratio and proportion, basic algebra and graphing, rational and radical expressions, and an introduction to probability. Students will engage in active learning in the classroom. A grade of C or higher is necessary to take subsequent math courses.
Prerequisite(s):
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 101 - Algebraic Bridge
This course reviews and reinforces the basic arithmetic and algebra skills and concepts needed for entry into the University’s general education pathways. The course is based on student learning outcomes and uses mastery learning pedagogy.
Prerequisite(s): Grade of C or higher in MAT 100 , or appropriate placement test score.
Co-requisite(s):
Credits: 4
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 105 - Mathematics for Quantitative Decision Making
This is an introductory course in quantitative literacy that, through lecture and lab, emphasizes critical thinking, mathematical reasoning, and technological tools. Topics are selected to develop an awareness of the utility of mathematics in life and to instill an appreciation of the scope and nature of its decision-making potential.
Prerequisite(s): Grade of C or higher in MAT 100 or MAT 101 , or appropriate placement test score.
Co-requisite(s):
Credits: 4
Meets the Following Core Requirement: Quantitative Reasoning
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 108 - College Algebra
A survey of the mathematics needed for Pre-Calculus and related analytical coursework. The topics include linear, quadratic, and absolute value equations and inequalities; graphs; and functions (linear, quadratic, polynomial, rational, exponential, and logarithmic).
Prerequisite(s): Grade of C or higher in MAT 101 , or appropriate placement test score.
Co-requisite(s):
Credits: 4
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 120 - Introduction to Statistics
An introduction to probability and statistics through lecture and lab. Particular topics include random variables and their distributions, methods of descriptive statistics, estimation and hypothesis testing, regression, and correlation.
Prerequisite(s): Grade of C or higher in MAT 100 or MAT 101 , or appropriate placement test score.
Co-requisite(s):
Credits: 4
Meets the Following Core Requirement: Quantitative Reasoning
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 131 - Number Systems for Elementary Teachers
This is the first course in a three-course sequence in mathematics recommended by the Committee on the Undergraduate Mathematics Program of the Mathematical Association of America for prospective primary and elementary teachers. Major emphasis is placed on an intuitive approach to the real number system and its subsystems.
Prerequisite(s): Grade of C or higher in MAT 100 , or appropriate placement test score.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 132 - Quantitative Reasoning for Elementary School Teachers
This course focuses on probability and statistical content for elementary school teachers. It is designed to help future teachers see the relevance of mathematics and statistics to their and their future students’ world and in becoming critical, questioning citizens in an increasingly quantitative world.
Prerequisite(s): Grade of C or higher in MAT 131 .
Co-requisite(s):
Credits: 4
Meets the Following Core Requirement: Quantitative Reasoning
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 140 - Pre-Calculus Mathematics
A brief review of elementary algebra followed by a study of the algebraic, exponential, logarithmic, and trigonometric functions.
Prerequisite(s): Grade of C- or higher in MAT 108 or appropriate placement test score.
Co-requisite(s):
Credits: 3
Meets the Following Core Requirement: Quantitative Reasoning
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 145 - Discrete Mathematics I
This course is an introduction to discrete mathematics necessary for a study of computer science. Topics will include a study of functions, sets, basic logic systems, and combinatorics.
Prerequisite(s): Grade of C- or higher in MAT 108 or MAT 140 or MAT 152 , or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 148 - Applied Calculus
An introduction to limits and differential and integral calculus of algebraic and transcendental functions of one variable. Applications of derivatives and definite integrals with an emphasis on problems from the fields of technology will be introduced. Graphing calculators and computer technology will be used when appropriate.
Prerequisite(s): Grade of C- or higher in MAT 140 .
Co-requisite(s):
Credits: 3
Meets the Following Core Requirement: Quantitative Reasoning
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 152 - Calculus A
The first course in a three-semester sequence covering basic calculus of real variables, Calculus A introduces the concept of limit and applies it to the definition of derivative and integral of a function of one variable. The rules of differentiation and properties of the integral are emphasized, as well as applications of the derivative and integral. This course also includes an introduction to the transcendental functions.
Prerequisite(s): Grade of C- or higher in MAT 140 or appropriate placement test score.
Co-requisite(s):
Credits: 4
Meets the Following Core Requirement: Quantitative Reasoning
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 153 - Calculus B
The second course in a three-semester sequence covering basic calculus of real variables, Calculus B includes techniques of integration, indeterminate forms and L’Hopital’s Rule, improper integrals, infinite series, conic sections, parametric equations, and polar coordinates.
Prerequisite(s): Grade of C- or higher in MAT 152 .
Co-requisite(s):
Credits: 4
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 210 - Business Statistics
This course investigates graphical and numerical methods of descriptive statistics; basic probability; discrete and continuous random variables and their distributions (binomial, hypergeometric, Poisson, uniform, exponential, and normal); sampling distributions; estimation; tests of hypotheses; and other selected topics. Applications will be chosen primarily from business.
Prerequisite(s): MAT 108 (or concurrent).
Co-requisite(s):
Credits: 4
Meets the Following Core Requirement: Quantitative Reasoning
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 220 - Statistics for the Biological Sciences
This course treats basic statistical methods as applied to the biological sciences. The topics emphasized are descriptive statistics, discrete and continuous distributions, statistical estimation, hypothesis testing procedures, chi-square methods (goodness of fit and two-way tables), analysis of variance, and simple and multiple regression. Students will use at least one computer-based statistical package.
Prerequisite(s): MAT 152 .
Co-requisite(s):
Credits: 4
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 231 - Algebra for Elementary Teachers
The second course in a three-course sequence in mathematics recommended by the Committee on the Undergraduate Mathematics Program of the Mathematical Association of America for prospective primary and elementary teachers. Emphasis is upon the properties of operations in several different algebraic systems. Equations are studied in finite systems as well as in conventional algebra.
Prerequisite(s): Grade of C or higher in MAT 131 .
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 232 - Geometry for Elementary Teachers
The third course in a three-course sequence in mathematics recommended by the Committee on the Undergraduate Mathematics Program of the Mathematical Association of America for prospective primary and elementary teachers. Emphasis is upon constructions, congruence, parallelism, and similarity. Direct and indirect methods of proof are studied, but the main approach is intuitive.
Prerequisite(s): Grade of C or higher in MAT 131 .
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 242 - Applied Problem Solving
This course is designed to examine mathematical concepts and apply them to solving modeling problems in various contexts. The focus will be on the Common Core State Standards mathematical concepts and practices, in particular, mathematical modeling. Students will formulate essential questions, gather and organize data, discover patterns, and interpret and communicate information verbally and in writing.
Prerequisite(s): Grade of C or higher in MAT 108 .
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 252 - Calculus C
The third course in a three-semester sequence covering basic calculus of real variables, Calculus C includes vectors, curves and surfaces in space, multivariate calculus, and vector analysis.
Prerequisite(s): Grade of C- or higher in MAT 153 .
Co-requisite(s):
Credits: 4
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 264 - Statistical Software Packages
The overall objective of the course is to enable students to develop the ability to use SAS and R for basic statistical analyses, and to prepare for more advanced uses of SAS and R. A number of topics concerning computing and statistics will be covered in both SAS and R. Topics include data acquisition, cleaning, and management using SAS; reading data into SAS from various sources, recoding variables, subsetting and merging data, exporting results in other formats. Graphical procedures, basic descriptive and inferential statistics. Introduction to SAS macros. Data acquisition, cleaning, and management in R; use of regular expressions; functional and object-oriented programming; graphical, descriptive, and inferential statistical methods; random number generation; Monte Carlo methods including resampling, randomization, and simulation.
Prerequisite(s): MAT 282 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 281 - Introduction to Probability
This course will cover basic concepts of probability, including discrete and continuous random variables and their distributions, moment generating functions, and bivariate random variables and their distributions. Some basic sampling distributions will also be discussed.
Prerequisite(s): Grade of C- or higher in MAT 153 .
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 282 - Statistical Inference
This course will examine various statistical methods and applications such as point and interval estimation; methods of estimation including methods of moments, maximum likelihood and least-squares method; hypothesis testing; simple and multiple linear regression; and one-factor and two-factor ANOVA. Some statistical packages may be used throughout the course.
Prerequisite(s): Grade of C- or higher in MAT 281 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 290 - Foundations of Mathematics
Selected topics in set theory, symbolic logic, and methods of proofs needed in more advanced mathematics courses.
Prerequisite(s): Grade of C- or higher in MAT 153 or permission of instructor.
Co-requisite(s):
Credits: 4
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 295 - Linear Algebra
An introduction to the theory of vector spaces and linear transformations. Particular topics will include the study of systems of linear equations, matrices, determinants, Euclidean vector spaces, inner product spaces, and theory of diagonalization.
Prerequisite(s): Grade of C- or higher in MAT 153 or permission of instructor.
Co-requisite(s):
Credits: 4
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 350 - Differential Equations
A study of various methods for solving ordinary differential equations, including series methods and Laplace transforms. The course also introduces systems of linear differential equations, Fourier series, and boundary value problems.
Prerequisite(s): MAT 252 .
Co-requisite(s):
Credits: 4
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 352 - Real Analysis
Limits, continuity, differentiation, and integration of functions of one or more real variables, infinite series, uniform convergence, and other selected topics.
Prerequisite(s): MAT 252 and MAT 290 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 355 - Complex Analysis
A study of the complex number system and its applications: differentiation and integration of complex-valued functions, the Cauchy integral theorem and formula, Taylor and Laurent series, singularities and residues, conformal mappings.
Prerequisite(s): MAT 252 and MAT 290 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 364 - Numerical Analysis
A study of the theory and application of computational algorithms for interpolation, equation solving, matrix methods, integration, and error analysis.
Prerequisite(s): MAT 252 , MAT 295 , and COS 160 ; or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 366 - Deterministic Models in Operations Research
Formulation and analysis of mathematical models for the optimal solution of decision-making problems under certainty. Linear programming; the simplex method, duality and sensitivity analysis. Network analysis: shortest paths, minimal spanning tree, network flows. Introduction to nonlinear optimization: convex programming, Kuhn-Tucker conditions. Applications to pricing, allocation, production planning, transportation, and scheduling problems.
Prerequisite(s): MAT 153 and MAT 295 .
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 371 - College Geometry
Selected topics from Euclidean geometry.
Prerequisite(s): MAT 290 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 380 - Probability and Statistics
This course explores concepts and techniques of collecting and analyzing statistical data, examines some discrete and continuous probability models, and introduces statistical inference, specifically, hypothesis testing, and confidence interval construction. Not for mathematics major credit.
Prerequisite(s): MAT 153 .
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 383 - System Modeling and Simulation
This course is designed to introduce the fundamental elements of successful system modeling using simulation. Applications to computer, communications, and inventory systems, as well as to traditional engineering problems, will be discussed. Topics include model validation and verification, input/output analysis, and the generation of various types of random data. Students are required to conduct a simulation project in their area of interest using a simulation language.
Prerequisite(s): MAT 281 or MAT 380 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 386 - Sampling Techniques
Simple random sampling, stratified random sampling, sampling for proportions, estimation of sample size, systematic sampling, multistage sampling, regression and ratio estimates, non-sampling error.
Prerequisite(s): MAT 282 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 387 - Introduction to Applied/Biostatistical Methods
This is an introductory statistical methodology course with emphases on applications in biological and health sciences. Topics include distributional theory, estimation and testing hypotheses, rank-based and related distribution-free tests, large sample chi-squared tests, analysis of rates and proportions, paired sample methods, permutation and re-sampling methods. Writing formal statistical reports of projects based on real-life data is a key component of the course.
Prerequisite(s): MAT 282 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 392 - Theory of Numbers
Basic course in number theory, including such topics as divisibility properties of integers, prime numbers, congruences, multiplicative number-theoretic functions, and continued fractions.
Prerequisite(s): MAT 290 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 395 - Abstract Algebra
Algebraic structures, such as groups, rings, integral domains, and fields.
Prerequisite(s): MAT 290 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 460 - Mathematical Modeling
An introduction to the process of formulating problems in mathematical terms, solving the resulting mathematical model and interpreting the results and evaluating the solutions. Examples will be chosen from the behavioral, biological, and physical sciences.
Prerequisite(s): Junior or senior standing, some elementary calculus including differentiation and integration, elementary probability, and some computer programming experience.
Co-requisite(s):
Credits: 3
Meets the Following Core Requirement: Capstone
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 461 - Stochastic Models in Operations Research
This course applies probabilistic analysis to such non-deterministic models as queuing models, inventory control models, and reliability models. Additional topics include simulation, elements of dynamic programming, and Markov decision analysis.
Prerequisite(s): MAT 281 or MAT 380 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 470 - Non-Euclidean Geometry
Development of one or more of the non-Euclidean geometries.
Prerequisite(s): MAT 371 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 484 - Design and Analysis of Experiments
This course is intended to acquaint students with such standard designs as one-way, two-way, and higher-way layouts, Latin-square and orthogonal Latin-square designs, BIB designs, Youdeen square designs, random effects, and mixed-effect models, nested designs, and split-plot designs.
Prerequisite(s): MAT 282 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 485 - Introduction to Applied Regression
This is an introduction to linear regression and time series analysis. Topics include model building, model diagnostics using residual analysis, choice of models, model interpretation, linear time series models, stationary processes, moving average models, autoregressive models, and related models. Technical writing for project reports is required for this course.
Prerequisite(s): MAT 282 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 486 - Introduction to Big Data Analytics
This is an introductory course of big data and predictive analytics covering foundational techniques and tools required for data science. The course focuses on concepts, principles, and techniques applicable to industry and establishes a baseline that can be enhanced by further formal training and additional real-world experience. Topics include basic database management systems, data pre-processing, association rules, decision trees, naive Bayes, clustering, and memory-based reasoning. The class follows a learning-by-doing approach in which the students will complete projects on real-world data sets.
Prerequisite(s): MAT 282 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 488 - Introduction to Data Mining
This is an introductory course in statistical data mining. The course emphasizes the understanding and application of data mining methods and algorithms. Topics include data preparation, exploratory data analysis and visualization, cluster analysis, logistic regression, decision trees, association rules, model assessment, and other topics. Applications to real-world data will be illustrated using standard computer packages.
Prerequisite(s): MAT 282 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 490 - Topology
An introduction to fundamental concepts in topology, including topological spaces, mappings, convergence, separation and countability, compactness, connectedness, metrization, and other selected topics.
Prerequisite(s): MAT 252 and MAT 290 or permission of instructor.
Co-requisite(s):
Credits: 3
Meets the Following Core Requirement: Capstone
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 492 - Graph Theory and Combinatorics
This course is designed to acquaint students with some fundamental concepts and results of graph theory and combinatorial mathematics. Applications will be made to the behavioral, managerial, computer, and social sciences.
Prerequisite(s): MAT 290 or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 496 - Introduction to Data Science
This is an introductory course in data science. It will cover three major components in data science: database management, analytics, and communication and visualization. Topics include data manipulation at scale, machine learning and data mining algorithms, statistical modeling, and information visualization. After completing this course, students will be able to work with large datasets and perform predictive analytics using a range of tools. Course projects will cover all phases of producing data products from the raw data.
Prerequisite(s): MAT 281 and MAT 282 , or permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 497 - Independent Study in Mathematics
An opportunity for juniors and seniors who have demonstrated critical and analytical capability to pursue a project independently, charting a course and exploring an area of interest within their major field.
Prerequisite(s): Junior or senior standing, permission of instructor and Department Chair.
Co-requisite(s):
Credits: 1-3
Course Typically Offered:
Course Type: Mathematics
|
| |
-
MAT 498 - Topics
Selected topics in advanced mathematics.
Prerequisite(s): Permission of instructor.
Co-requisite(s):
Credits: 3
Course Typically Offered:
Course Type: Mathematics
|
| |
Print this Page