Mathematics (MAT)

MAT-101  Elementary Algebra  (3 credits)  

The subject matter includes arithmetic and algebraic operations, linear equations and inequalities, quadratic equations, two equations and two unknowns, elementary coordinate geometry and word problems. It does not fulfill the core requirement for math and is not open to those with credit in any other math courses unless recommended by the Learning Center. Required for students who have an SAT Math Sub-score 520-540 or ACT 23.

MAT-105  Problem Solving for Chemistry  (3 credits)  

MAT-117  Topics in Mathematics  (3 credits)  

Topics are selected to exemplify a broad view of mathematics. The subject matter includes logic, numbers, functions, geometry, probability and topology.

MAT-120  Elementary Practical Statistics  (3 credits)  

This is an introduction to the theory and application of statistics: sampling, frequency distributions, probability, confidence intervals, hypothesis testing and analysis of variance. Student who pass MAT-120 cannot subsequently take MAT-123 for credit

Prerequisite(s): Take MAT-101 or an SAI score showing mastery of the MAT-101 material.

MAT-122  Algebra & Trigonometry  (3 credits)  

The course explores concepts and graphs of basic function, including polynomial, rational, radical, logarithmic, exponential and trigonometric functions. Not open to those who have taken MAT-125.

MAT-123  Introduction to Applied Statistics  (4 credits)  

This course includes the underlying fundamental mathematical principles and their application to a wide range of statistical methods and tests. Included are the following: sampling, frequency distributions, probability, regression,confidence intervals, hypothesis testing, t-test, analysis of variance, chi-square and correlation. Existent computer software such as MiniTab is utilized by students to aid and facilitate the analysis of results. Not open to those who have taken MAT-120

MAT-124  Intermediate Applied Statistics  (4 credits)  

This course continues and expands the material present in MAT-123. The course will cover hypothesis testing for variances, symmetric versus asymmetric distributions, non-parametric methods for one, two or multiple samples, measures of association, multifactor analysis of variance, and analysis of covariance. The material focuses on the application of known methods. Large data sets will be employed to explore the methods presented in class. The course will employ one of SPSS, MINITAB or SAS.

Prerequisite(s): Take MAT-123 with a minimum grade of C.

MAT-125  Calculus I  (4 credits)  

Basic theory of functions, limits, continuity, derivatives and integrals are taught. Some emphasis is placed on the structure of the real number system.

Corequisite(s): Take MAT-122 or have an SAT Math Sub-score 600+ or ACT 26+.

MAT-126  Calculus II  (4 credits)  

The course explores the basic techniques for integration as well as elementary transcendental functions and the applications of differential and integral calculus.

Prerequisite(s): Take MAT-125

MAT-189  Topics in Critical Inquiry  (3 credits)  

Critical inquiry is the process of gathering and evaluating information, ideas, and assumptions from multiple perspectives to produce well-reasoned analysis and understanding, and leading to new ideas, applications and questions. This course is intended to introduce new students to intellectual inquiry at the university by engaging them in in-depth study of a single topic utilizing a variety of perspectives and methods. The course emphasizes the essential role of critical and creative thinking to their lives as students, citizens, future professionals, and productive members of their communities.

Course Types: Topics
Corequisite(s): Take MAT-189L

MAT-189L  Topics in Critical Inquiry - Lab  (1 credits)  

Critical inquiry is the process of gathering and evaluating information, ideas, and assumptions from multiple perspectives to produce well-reasoned analysis and understanding, and leading to new ideas, applications and questions. This course is intended to introduce new students to intellectual inquiry at the university by engaging them in in-depth study of a single topic utilizing a variety of perspectives and methods. The course emphasizes the essential role of critical and creative thinking to their lives as students, citizens, future professionals, and productive members of their communities. The lab for the course is an interdisciplinary application lab, wherein students work in teams to demonstrate what they learned in the didactic portion of the course through the creation of a project, presentation, art object/installation, play, podcast, short film, co-authored reflection (debrief) on a simulation experience, etc. Faculty who design the didactic portion of the course together will design this portion as a 5-week experiential component of the course, which might include community partnerships or field trips. Students who take the course and lab will be invited to display their project results in a one-afternoon presentation at the end of each semester (to be arranged by college events personnel).

Course Types: Topics
Corequisite(s): Take MAT-189

MAT-202  Calculus III  (4 credits)  

The subject matter includes multivariate calculus, infinite series, differential equations and matrix algebra.

Prerequisite(s): Take MAT-126

MAT-220  Applied Regression Analysis  (3 credits)  

The course covers the ideas behind, application of, and evaluation of regression processes, which are used to explore the relationships between variables. This course will cover simple linear regression, multiple linear regression, regression diagnostics, use of qualitative variables as predictors, transformations of variables, collinear data, and logistical regression. The material focuses on the application of known methods. Large data sets will be employed to explore the methods presented in class. The course will employ one of SPSS, MINITAB, or SAS.

Prerequisite(s): Take MAT-124 and achieve a minimum grade of C.

MAT-222  Statistical Computing  (3 credits)  

Students will learn about various types of relational database programs and understand the fundamental aspects of SQL (Structured Query Language). This course covers database concepts, design concepts, database administration, and web-based databases. Students will receive an introduction to the SAS programming language with a focus on manipulation, summarizing, and basic statistical analysis of large data sets.

Prerequisite(s): Take MAT-123 and achieve a minimum grade of C; Take 1 CSC course - CSC-151 is prefered.

MAT-224  Biostatistics  (3 credits)  

This course provides an introduction to common experimental designs in the health sciences, such as clinical trials, case-control studies, and cohort studies, and the statistical methods used in those studies, including odds ratios, relative risk, logistic regression, longitudinal analysis, and survival analysis. Emphasis is placed on practical data analysis in biology and medicine. The course will employ one of SPSS, MINITAB or SAS.

Prerequisite(s): Take MAT-220 and achieve a minimum grade of C

MAT-228  Applied Statistical Inquiry  (3 credits)  

The course will cover the process of statistical inquiry, including defining the problem, hypotheses development, selection of appropriate variables, test selection, interpretation of results, and reporting of conclusions. Large data sets will be employed to explore the methods presented in class. Group projects and oral presentations will simulate real life job experiences in the analytics industry. This course will employ one of SPSS, MINITAB or SAS.

Prerequisite(s): Take MAT-220 MAT-222 MAT-224 and achieve a minimum grade of C

MAT-300  Introduction to Mathematical Reasoning  (3 credits)  

This course introduces the student to abstract mathematics and proofs. Topics covered in the course include logic, sets, relations, functions, proofing methods (including proof by induction, contrapositive and contradiction) and cardinality.

Prerequisite(s): Take MAT-126

MAT-301  Real Analysis I  (3 credits)  

The study of real-valued functions of one variable properties include continuity, uniform continuity and differentiation.

Prerequisite(s): Take MAT-202 MAT-300

MAT-302  Real Analysis II  (3 credits)  

This course studies Riemann-Stieltjes integration and selected topics.

Prerequisite(s): Take MAT-301

MAT-303  Foundations of Geometry I  (3 credits)  

This course is a study of symmetry and isometry in two- and three-dimensional space from both the Euclidean and Cartesian viewpoints. Inversion geometries will also be covered as well as group of transformations.

Prerequisite(s): Take MAT-202 MAT-300

MAT-304  Foundations of Geometry II  (3 credits)  

This course covers affine, projective, absolute and hyperbolic geometries as well as vectors and differential geometries. Students will cover some topological problems. Prerequisite: MAT-303

Prerequisite(s): Take MAT-303

MAT-310  Foundations of Mathematics  (3 credits)  

This course is a survey of the development of mathematical thought. Prerequisites: MAT-126 and MAT-300.

Prerequisite(s): Take MAT-126 MAT-300

MAT-315  Linear Algebra  (3 credits)  

An introduction to linear systems including matrices, determinants, linear transformations, vector spaces and linear independence. The student will perform most of the computation on a computer, so that familiarity with at least one higher-level programming language is presupposed. Applications include linear programming, graph theory, least squares, Markov chains and differential equations.

Prerequisite(s): Take MAT-126 MAT-300
Corequisite(s): Take CSC-151 or IT-111

MAT-318  Discrete Math  (3 credits)  

Discrete mathematics includes topics that are particularly important in computer science. This course provides the student with an introduction to elementary combinatorics (counting methods and graph theory), elementary Boolean algebra and automata theory.

Prerequisite(s): Take MAT-126

MAT-321  Differential Equations  (3 credits)  

This course will describe the classical methods for solving first order differential equations, systems of first order differential equations and equations of higher degree.

Prerequisite(s): Take MAT-126 MAT-300

MAT-375  Math Modeling in Biology  (3 credits)  

Techniques for expressing biological molecules and concepts as mathematical expressions for analysis and comparison.

Prerequisite(s): Take MAT-125; Take 1 computer science (CSC or IT) course. CSC-151 or IT-111 prefered.; Take (BIO-102 BIO-102L) or (BIO-303 BIO-303L)

MAT-389  Special Topics  (1-3 credits)  

This course represents an opportunity to study a selected topic in mathematics. Topics originate with faculty or students.

MAT-401  Abstract Algebra I  (3 credits)  

In this course, you will cover groups, quotient groups, homomorphisms, rings and fields.

Prerequisite(s): Take MAT-126 MAT-300

MAT-402  Abstract Algebra II  (3 credits)  

This course covers vector spaces, extension fields, elements of Galois theory.

Prerequisite(s): Take MAT-401

MAT-403  Probability  (3 credits)  

This course is an introduction to probability and basic distribution theory, mathematical expectation, discrete and continuous functions, and generating function.

Prerequisite(s): Take MAT-126 MAT-300

MAT-404  Mathematical Statistics  (3 credits)  

The theory of the mathematics of statistics; sampling distributions; point and interval estimation; theory and application of testing hypotheses, regression and correlation will all be covered in this course.

Prerequisite(s): Take MAT-403

MAT-407  Senior Seminar I  (2 credits)  

This course provides an opportunity for dialogue between the senior mathematics major and faculty and peers on mathematical questions. A research paper of a theoretical nature is developed by the student and presented in the group. Prerequisites: Senior status in major or permission of the instructor; Offered as needed.

MAT-408  Senior Seminar II  (2 credits)  

This course provides an opportunity for dialogue between the senior mathematics major and faculty and peers on mathematical questions. A research paper of a theoretical nature is developed by the student and presented in the group. Prerequisites: Senior status in major or permission of the instructor; Offered as needed.

MAT-410  Number Theory  (3 credits)  

Number Theory is an introductory course in number theory, divisibility, congruences, Diophantine equations,continued fractions and Gaussian Integers. Prerequisites: MAT-126 and MAT-300

Prerequisite(s): Take MAT-126 MAT-300

MAT-412  General Topology  (3 credits)  

This course covers metric spaces, continuous mappings, topological spaces, compactness, separation and connectedness. Prerequisites: MAT 301

Prerequisite(s): Take MAT-301

MAT-414  Complex Analysis  (3 credits)  

This course studies analytic functions, complex integration and infinite series. Prerequisites: MAT-202 and MAT-300

Prerequisite(s): Take MAT-202 MAT-300

MAT-417  Introduction to Graph Theory  (3 credits)  

This course will provide a first introduction to the theories and applications of graphs. Topics covered in the course include basic definitions and examples, paths, cycles, trees, planarity, graph colorings, digraphs and matching.

Prerequisite(s): Take MAT-126 MAT-300

MAT-420  Introduction to Linear Models  (3 credits)  

Method of least squares, correlation, residual analysis, multiple linear regression,and introduction to generalized linear models. Prerequisite: MAT-404 or permission of instructor.

Prerequisite(s): Take MAT-404 or Permission of Instructor

MAT-421  Design of Experiments  (3 credits)  

Methods of designing, conducting, and analyzing experiments, overview of sampling methods, sampling distributions, ANOVA, sample size calculations, nonparametric methods, randomized blocks, Latin squares, factorial designs, and the random effects model.

Prerequisite(s): Take MAT-404 or Permission of Instructor

MAT-424  Numerical Analysis  (3 credits)  

Numerical solutions to the applications of calculus and linear algebra are covered in this course. Economic and scientific interpretations of functions are stressed. Prerequisites: MAT-126 and either CSC-151 or IT-111.

Prerequisite(s): Take MAT-126; Take CSC-151 or IT-111

MAT-443  Methods of Teaching Mathematics  (3 credits)  

This course covers current issues in mathematics education, secondary school mathematics curricula and contemporary approaches to the teaching of mathematics.

Prerequisite(s): Take MAT-126 MAT-300

MAT-479  Data Analysis Methods  (3 credits)  

Topics will be chosen by the instructor.

Prerequisite(s): Take MAT-126 MAT-300

MAT-480  Statistical Applications  (3 credits)  

Topics will be chosen by the instructor.

Prerequisite(s): Take MAT-126 MAT-300 MAT-479

MAT-499  Capstone Experience  (1-2 credits)  

MAT-602  Statistics Seminar  (1 credits)  

This specialized course is designed to provide students with the intermediate level statistics information needed to enroll in GRA-601. It includes two hours of computer laboratory per week.