Mathematics (MATH)

A grade of C or better is required for prerequisite courses. 

MATH 091  Special Topics  (1-4 V)  

As Needed.
Special topics are offered to students in areas where regular course offerings are not available. This course does not count toward graduation.
Prerequisite: None.
Corequisite: None.
Registration Information: Satisfactory placement exam score. Repeatable (99).

MATH 096  College Prep Math 1  3(3-)  

Fall, Spring.
Operations with real numbers. Solving and graphing linear equations with applications. Polynomial addition, subtraction, multiplication and division. This course does not count toward graduation.
Prerequisite: None.
Corequisite: None.
Registration Information: Satisfactory placement exam score or equivalent.

MATH 097  College Prep Math 2  3(3-)  

Fall, Spring.
Factoring polynomials, solving polynomial equations. Rational expressions and equations with applications. Inequalities and absolute value. Quadratic functions with applications. This course does not count towards graduation.
Prerequisite: MATH 096.
Corequisite: None.
Registration Information: Satisfactory placement exam score or equivalent.

MATH 101  Introductory College Mathematics (GT-MA1)  3(3-0)  

Fall, Spring, Summer.
Solving systems of linear equations. Introduction to functions. Operations with radical expressions. Solving radical equations. Exponential and logarithmic functions with applications.
Prerequisite: MATH 097.
Corequisite: None.
Registration Information: Satisfactory placement exam score or equivalent.
(GT-MA1)

MATH 109  Mathematical Explorations (GT-MA1)  (3 V)  

Fall, Spring.
Emphasis on quantitative reasoning and problem solving. Topics chosen from: logic, sets, algebra, linear programming, probability, statistics, number theory, geometry, voting theory and graph theory.
Prerequisite: MATH 097.
Corequisite: None.
Registration Information: Satisfactory placement exam score or equivalent.
(GT-MA1)

MATH 120  College Algebra (GT-MA1)  3(3-0)  

Fall, Spring.
Solutions of algebraic equations, graphs of rational functions, exponential and logarithmic functions.
Prerequisite: MATH 101.
Corequisite: None.
Registration Information: Satisfactory placement exam score or equivalent.
(GT-MA1)

MATH 122  College Trigonometry  (3 V)  

As Needed.
Trigonometric and circular functions, identities, inverse functions, vectors, complex numbers.
Prerequisite: MATH 120.
Corequisite: None.
Registration Information: Satisfactory placement exam score or equivalent.

MATH 124  Pre-Calculus (GT-MA1)  5(5-0)  

Fall, Spring.
Polynomial, rational, exponential and logarithmic functions; solution of systems of equations; trigonometric, circular and certain special functions.
Prerequisite: MATH 120.
Corequisite: None.
Registration Information: Satisfactory placement exam score or equivalent.
(GT-MA1)

MATH 126  Calculus & Analytic Geometry I (GT-MA1)  5(5-0)  

Fall, Spring.
Introduction to limits, continuity, differentiation and integration with selected applications.
Prerequisite: MATH 122 or MATH 124.
Corequisite: None.
Registration Information: Satisfactory placement exam score or equivalent.
(GT-MA1)

MATH 156  Introduction to Statistics (GT-MA1)  3(3-0)  

Fall, Spring, Summer.
Introduction to data analysis. Binomial and normal models. Sample statistics, confidence intervals, hypothesis tests, linear regression and correlation, and chi-square tests.
Prerequisite: MATH 101.
Corequisite: None.
Registration Information: Satisfactory placement exam score or equivalent.
(GT-MA1)

MATH 191  Special Topics  (1-5 V)  

As Needed.
Special topics suitable for entry level math students.
Prerequisite: None.
Corequisite: None.
Registration Information: Permission of instructor or department chair. Repeatable (99).

MATH 207  Matrix and Vector Algebra with Applications  3(3-0)  

Fall, Spring.
Systems of equations, matrices, inverses, determinants, eigenvalues and eigenvectors, scalar and cross-product, selected applications.
Prerequisite: MATH 124.
Corequisite: None.
Registration Information: None.

MATH 220  Quantitative Analysis for Business  4(4-0)  

Fall, Spring, Summer.
An introduction to quantitative methods required for business studies, including linear programming, probability and statistics.
Prerequisite: MATH 101.
Corequisite: None.
Registration Information: Satisfactory placement exam score or equivalent.

MATH 221  Applied Calc: An Intuitive Approach (GT-MA1)  4(4-0)  

Fall, Spring.
Non-rigorous introduction to calculus with emphasis on applications and modeling in the life sciences, social and behavioral sciences and business.
Prerequisite: MATH 120.
Corequisite: None.
Registration Information: Satisfactory placement exam score or equivalent.
(GT-MA1)

MATH 224  Calculus and Analytic Geometry II  5(5-0)  

Fall, Spring.
Differentiation and integration of transcendental functions, infinite sequences and series, parametric curves, and applications.
Prerequisite: MATH 126.
Corequisite: None.
Registration Information: None.

MATH 242  Introduction to Computation  4(3-2)  

Spring.
Computer programming and computation with applications. Loops, conditionals, data types and structores, I/O, functions debugging, testing, and documentation. Numerical, graphical, symbolic computation issues and projects.
Prerequisite: MATH 126.
Corequisite: None.
Registration Information: None.

MATH 291  Special Topics  (1-5 V)  

As Needed.
Special Topics.
Prerequisite: None.
Corequisite: None.
Registration Information: Permission of instructor and approval of the department chair. Repeatable (99).

MATH 295  Independent Study  (1-5 V)  

As Needed.
Independent Study.
Prerequisite: None.
Corequisite: None.
Registration Information: Permission of instructor. Repeatable (99).

MATH 307  Introduction to Linear Algebra  4(4-0)  

Spring.
A rigorous development of vector spaces and linear transformations.
Prerequisite: MATH 207 or MATH 224.
Corequisite: None.
Registration Information: None.

MATH 319  Number Theory  (3 V)  

Spring, Odd.
Divisibility, prime numbers, linear congruences, multiplicative functions, cryptology, primitive roots, and quadratic residues.
Prerequisite: MATH 224.
Corequisite: None.
Registration Information: None.

MATH 320  Introductory Discrete Mathematics  3(3-0)  

Fall.
Introduction to discrete structures with emphasis on logic and proof. Topics selected from graph theory, boolean algebra, combinatorics, binary relations, set theory, functions and sequences.
Prerequisite: MATH 224.
Corequisite: None.
Registration Information: None.

MATH 325  Intermediate Calculus  4(4-0)  

Fall.
Continuation of MATH 224. Vector valued functions and multivariable calculus.
Prerequisite: MATH 224.
Corequisite: None.
Registration Information: None.

MATH 330  Introduction to Higher Geometry  (3 V)  

Spring, Even.
Euclidean, hyperbolic, finite, and transformation geometries, models, and constructions.
Prerequisite: MATH 224.
Corequisite: None.
Registration Information: Permission of instructor.

MATH 337  Differential Equations I  3(3-0)  

Spring.
First order differential equations, homogeneous and non-homogenous linear differential equations, introduction to the Laplace transform, applications.
Prerequisite: MATH 224.
Corequisite: None.
Registration Information: None.

MATH 338  Differential Equations II  3(3-0)  

Fall, Odd.
Linear systems, existence and uniqueness of solutions, non-linear equations, series solutions, orthogonal sets of functions. Fourier series, boundary value problems, partial differential equations and applications.
Prerequisite: MATH 337.
Corequisite: None.
Registration Information: MATH 325 is recommended as prerequisite.

MATH 342  Introduction to Numerical Analysis  3(3-0)  

Spring, Even.
Numerical solutions of polynomial, differential, integral, and other equations using the computer.
Prerequisite: MATH 224.
Corequisite: None.
Registration Information: Programming language recommended. Permission of instructor.

MATH 345  Algorithms & Data Structures  4(3-2)  

Spring, Odd.
An introduction to data structures, sorting, searching, recurrence relations and performance measures. Algorithms will be studied analytically and through computer implementation.
Prerequisite: MATH 224 and MATH 242.
Corequisite: None.
Registration Information: None.

MATH 350  Probability  3(3-0)  

Spring.
Introduction to probability theory and stochastic processes. Probability spaces, random variables and their distributions, exponential and Poisson processes, limit theorems and applications.
Prerequisite: MATH 325.
Corequisite: None.
Registration Information: None.

MATH 356  Statistics for Engineers & Scientists  3(3-0)  

Fall.
Calculus-based introduction to statistical methods. Sampling distributions, hypothesis testing, linear regression, design of experiments using ANOVA. Data analysis with Minitab.
Prerequisite: MATH 350.
Corequisite: None.
Registration Information: None.

MATH 360  Elementary Mathematics Concepts I  3(3-0)  

Fall.
Development of the real number system and related concepts, including sets, numeration systems, whole numbers, integers, number theory and algorithms.
Prerequisite: None.
Corequisite: None.
Registration Information: MATH 101 or MATH 109 recommended as prerequisite. Satisfactory placement score.

MATH 361  Elementary Mathematics Concepts II  3(3-0)  

Spring.
Conceptual development of fractions, rational numbers, geometry, measurement, probability and statistics.
Prerequisite: MATH 360.
Corequisite: None.
Registration Information: Satisfactory placement score.

MATH 362  Problem Solving for K-6 Teachers  3(3-0)  

Fall.
This course focuses on the process of mathematical problem solving. Students will develop and implement useful heuristics, and reflect on problem solving strategies.
Prerequisite: MATH 361.
Corequisite: None.
Registration Information: Liberal Studies General Education Mathematics requirement met.

MATH 411  Introduction to Topology  3(3-0)  

As Needed.
An introduction to topological spaces, homeomorphisms, topological properties, and separation axioms.
Prerequisite: MATH 319 or MATH 320 or MATH 330.
Corequisite: None.
Registration Information: None.

MATH 421  Introduction to Analysis  4(4-0)  

Spring.
An introductory course in real analysis providing a rigorous development of the concepts of elementary calculus.
Prerequisite: MATH 319 or MATH 320 or MATH 330 and MATH 325.
Corequisite: None.
Registration Information: None.

MATH 425  Complex Variables  3(3-0)  

Fall, Even.
An introduction to complex function theory. Complex numbers, sequences and series, the calculus of complex functions, analytic functions, and conformal mappings.
Prerequisite: MATH 325.
Corequisite: None.
Registration Information: None.

MATH 427  Abstract Algebra  4(4-0)  

Fall.
Introduction to groups, rings and fields and their elementary properties.
Prerequisite: MATH 307 and MATH 319 or MATH 320 or MATH 330.
Corequisite: None.
Registration Information: None.

MATH 442  Machine Learning for Data Analytics  3(2-2)  

As Needed.
Implementation of algorithms for supervised and unsupervised learning, to include linear/logistic regression, random forests, naïve Bayes, neural networks, clustering, support vector machines, hidden markov models.
Prerequisite: MATH 242.
Corequisite: None.
Registration Information: None.

MATH 445  Discrete Mathematics  3(3-0)  

As Needed.
Topics selected from mathematical reasoning, combinatorial techniques, set theory, binary relations, functions and sequences, algorithm analysis, and discrete analysis.
Prerequisite: MATH 224 and MATH 307.
Corequisite: None.
Registration Information: Knowledge of a programming language.

MATH 463  History of Mathematics  3(3-0)  

Fall, Odd.
Survey of the origins of important mathematical concepts and of the mathematicians responsible for these discoveries.
Prerequisite: MATH 319 or MATH 320 or MATH 330.
Corequisite: None.
Registration Information: None.

MATH 477  Methods for Teaching Secondary Math  4(3-2)  

Fall, Even.
Topics and issues in secondary mathematics education, including materials development, learning theories, instructional and assessment strategies, curriculum, planning and standards. Sixty hours field experience required.
Prerequisite: MATH 319 or MATH 320 or MATH 330.
Corequisite: None.
Registration Information: Acceptance into Teacher Education Program.

MATH 480  Tutoring Practicum  (1-2 V)  

As Needed.
Participation in tutoring mathematics in the MLC under the guidance of the MLC Director.
Prerequisite: MATH 224.
Corequisite: None.
Registration Information: Permission of Math Learning Center Director. Repeatable (2).

MATH 491  Special Topics  (1-3 V)  

As Needed.
Special Topics.
Prerequisite: None.
Corequisite: None.
Registration Information: Permission of instructor. Repeatable (99).

MATH 492  Research  (1-3 V)  

As Needed.
Research project selected by student and supervised by a regular mathematics faculty member.
Prerequisite: None.
Corequisite: None.
Registration Information: Approval of department. Repeatable (99).

MATH 493  Seminar  (1-3 V)  

As Needed.
Seminar.
Prerequisite: None.
Corequisite: None.
Registration Information: Senior standing. Permission of instructor. Repeatable (99).

MATH 495  Independent Study  (1-3 V)  

As Needed.
Independent Study.
Prerequisite: None.
Corequisite: None.
Registration Information: Senior standing. Permission of instructor. Repeatable (99).

MATH 498  Internship  (1-6 V)  

As Needed.
Work experience using the discipline of mathematics under the direction of the selected organization and a faculty member.
Prerequisite: None.
Corequisite: None.
Registration Information: Junior or senior standing. Permission of department chair. Repeatable (99).

MATH 501  Foundations of Mathematics  3(3-0)  

As Needed.
Sets, logic, axiomatics, mappings and the various sub-systems of the reals for beginning graduate students.
Prerequisite: None.
Corequisite: None.
Registration Information: Permission of instructor.

MATH 507  Linear Algebra  3(3-0)  

As Needed.
Vector spaces, linear transformations, matrix representation, canonical form.
Prerequisite: None.
Corequisite: None.
Registration Information: Permission of instructor.

MATH 521  Intermediate Analysis  3(3-0)  

As Needed.
Point set theory, including the Bolzano-Weierstrass and the Heine-Borel theorems, theory of differentiation and Riemann integration, and sequences and series of functions.
Prerequisite: None.
Corequisite: None.
Registration Information: Permission of instructor.

MATH 527  Abstract Algebra  3(3-0)  

As Needed.
Groups, rings, integral domains, quotient rings, ideals, fields, homomorphisms and related topics.
Prerequisite: None.
Corequisite: None.
Registration Information: Permission of instructor.

MATH 530  Advanced Geometry  3(3-0)  

As Needed.
Foundations of geometry, geometric transformations, and applications.
Prerequisite: None.
Corequisite: None.
Registration Information: Permission of instructor.

MATH 550  Statistical Methods  3(3-0)  

As Needed.
Statistical modeling as a framework for the analysis of experimental data. Emphasis on use of statistical software. Regression, ANOVA, variance components, and chisquare tests.
Prerequisite: MATH 156.
Corequisite: None.
Registration Information: None.

MATH 556  (EN 556)  Design & Analysis of Experiments  3(3-0)  

Summer.
Foundations of experimental design, outline efficient methods to implement experiments, develop statistical methods to sort signal from noise, and analyze information derived from the experiment.
Prerequisite: MATH 256 and MATH 356.
Corequisite: None.
Registration Information: None.

MATH 577  Concepts in Secondary School Mathematics  (1-4 V)  

As Needed.
Problems of teaching secondary school mathematics; the slow learner, methods, gifted students, evaluation.
Prerequisite: None.
Corequisite: None.
Registration Information: Permission of instructor.

MATH 591  Special Topics  (1-3 V)  

As Needed.
Special Topics.
Prerequisite: None.
Corequisite: None.
Registration Information: Repeatable (99).

MATH 595  Independent Study  (1-2 V)  

As Needed.
Independent Study.
Prerequisite: None.
Corequisite: None.
Registration Information: Repeatable (99).

MATH 598  Graduate Internship  (1-4 V)  

As Needed.
Volunteer or paid work experience under the combined supervision of the selected organization and a faculty member.
Prerequisite: None.
Corequisite: None.
Registration Information: Graduate standing. Repeatable (99).

MATH 599  Thesis Research  (1-6 V)  

As Needed.
Thesis Research.
Prerequisite: None.
Corequisite: None.
Registration Information: Graduate standing. Repeatable (99).