Undergraduate Courses

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Courses in Mathematics


Math 094 Essential Mathematics with Elementary Algebra (4 credits)
 
Basic mathematics skills integrating the fundamental operations of whole numbers, integers, fractions, decimals, percents, ratio and proportion with the elementary algebra topics of linear equations and inequalities, graphs, exponents, polynomials and factoring. Credit does not apply toward graduation.
 

Math 098 Intermediate Algebra (4 credits)
 
Topics covered include intermediate study of graphs, systems of linear equations, introduction to functions, linear and nonlinear inequalities, factoring, rational expressions and equations, radicals, and basic quadratic equations. Credit does not apply toward graduation.
 

Math 110 Perspectives in Mathematics (3 credits)
 
A survey of mathematics and its relationship to society, showing its development and evolution to meet the needs of humanity. Pre: Two years high school algebra and/or geometry.
 

Math 112 College Algebra (4 credits)
 
Concepts of algebra (real numbers, exponents, polynomials, rational expressions), equations and inequalities, functions and graphs, polynomial and rational functions, exponential and logarithmic functions, systems of equations and inequalities, matrices and determinants, conic sections, sequences and series, probability, and binomial theorem. Pre: Scoring 18 or better on the Intermediate Algebra Placement Test, or scoring 19 or better on the ACT Math Subscore, or successful completion of Math 098.
 

Math 113 Trigonometry (3 credits)
 
Basic concepts of trigonometry as preparation for college level mathematics and science courses. Topics include concepts of algebra (real numbers, functions, graphs of functions, exponential and logarithmic functions), trigonometric functions, analytic trigonometry, applications of trigonometry, and analytic geometry. Pre: Scoring 18 or better on the Intermediate Algebra Placement Test, or scoring 6 or better on the Functions and Graphs Placement Test, or scoring 19 or better on the ACT Math Subscore, or Math 112 with C or better.
 

Math 115 Precalculus Mathematics (4 credits)
 
This course is designed for students preparing to take calculus who need a review of algebra and trigonometry. Topics include functions, graphs of functions, exponential and logarithmic functions, conic sections, systems of equations and inequalities, matrices, trigonometric functions, circular functions, vectors and complex numbers, induction, series and probability. Pre: Scoring 19 or better on the Intermediate Algebra Placement Test, or scoring 6 or better on the Functions and Graphs Placement Test, or scoring 20 or better on the ACT Math Subscore.
 

Math 121 Calculus I (4 credits)
 
Limits, continuity, the derivative and its applications, and the integral and its applications. Pre: Scoring 16 or better on the Functions and Graphs Placement Test with 6 or better on Trigonometry, or scoring 22 or better on the ACT Math Subscore, or Math 112 and Math 113 with C or better, or Math 115 with C or better.
 

Math 122 Calculus II (4 credits)
 
Definite integral and applications, transcendental functions, L'Hopital's rule, techniques of integration, sequences and series, parametric equations, polar coordinates, and vectors in two and three dimensions. Pre: Math 121 with C or better or consent.
 

Math 127 Calculus II for Engineering Technology: Integration (2 credits)
 
A continuation of the study of calculus from Math 121 including definite integral and applications, transcendental functions, L'Hopital's rule, techniques of integration, and vectors in two and three dimensions. Content is intended for students enrolled in any engineering technology program. Credit for both Math 127 and Math 122 is not allowed. Pre: Math 121 with C or better or consent.
 

Math 128 Calculus II for Engineering Technology: Infinite Series (2 credits)
 
A continuation of the study of calculus from Math 127 including infinite series, parametric equations, and polar coordinates. Content is intended for students enrolled in any engineering technology program. Credit for both Math 128 and Math 122 is not allowed. Pre: Math 127 with C or better or consent.
 

Math 130 Finite Mathematics and Its Applications (3 credits)
 
This course introduces the mathematical concepts needed in business, the social sciences and the life sciences including problem solving, linear models, linear algebra, linear programming, consumer mathematics, probability and statistics, and decision making. Pre: Three years of high school mathematics.
 

Math 180 Mathematics for Computer Science (4 credits)
 
This course introduces the mathematical concepts needed in computer science, including sets, logic, representations of numbers, counting techniques, discrete functions, matrices, trees and graphs, and algorithm analysis. Pre: Math 112 or equivalent.
 

Math 181 Intuitive Calculus (3 credits)
 
This course presents the concepts of the differential and integral calculus from an intuitive (non-theoretical) point of view. The course emphasis is on the applications of the calculus to the fields of business and economics. Pre: Math 112 or equivalent.
 

Math 201 Elements of Mathematics I (3 credits)
 
Nature of mathematics from a problem solving approach using sets, relations, number systems through integers, rational numbers and discrete mathematics. Pre: Scoring 18 or better on the Intermediate Algebra Placement Test, or scoring 19 or better on the ACT Math Subscore, or successful completion of Math 098.
 

Math 202 Elements of Mathematics II (3 credits)
 
A continuation of Math 201 including rational and real number systems, informal geometry and measurement, statistics and probability. Pre: Math 201.
 

Math 223 Calculus III (4 credits)
 
Surfaces, vector-valued functions, partial differentiation, multiple integration, and vector calculus. Pre: Math 122 with C or better or consent.
 

Math 247 Linear Algebra I (4 credits)
 
Matrices, determinants, systems of linear equations, vector spaces, linear transformations, and characteristic value problems. Pre: Math 122.
 

Math 290 Foundations of Mathematics (4 credits)
 
Logic, proof techniques, set theory, relations, functions, cardinality, operations, and an introduction to mathematical structures and number theory. Pre: Math 247.
 

Math 303 Elements of Mathematics III (3 credits)
 
A continuation of Math 202, including transformational and Euclidean geometry, coordinate geometry and applications of discrete mathematics. Pre: Math 202.
 

Math 316 Intermediate Analysis (3 credits)
 
Limits, sequences, continuity, and differentiation of a real valued function of a real variable. Pre: Math 223 and 290.
 

Math 321 Ordinary Differential Equations (4 credits)
 
This course presents the theory, computations, and applications of first and second order differential equations and two-dimensional systems. Pre: Math 122.
 

Math 332 College Geometry (4 credits)
 
Geometric systems including Euclidean, non-Euclidean, transformational and projective, as well as topological properties and the relationship between coordinate and synthetic geometry. Pre: Math 290.
 

Math 345 Abstract Algebra I (4 credits)
 
An introduction to the theory of groups and rings, including polynomial rings, homomorphisms, isomorphisms, and concepts of normal subgroups, ideals, quotient groups, and quotient rings. Pre: Math 290.
 

Math 354 Concepts of Probability and Statistics (3 credits)
 
This is a calculus-based course covering introductory level topics of probability and statistics. It is designed to meet the needs of both the practitioner and the person who plans further in-depth study. Topics include probability, random variables and probability distributions, joint probability distributions, statistical inference (both estimation and hypothesis testing), analysis of variance, regression, and correlation. Same as Stat 354. Pre: Math 122.
 

Math 375 Introduction to Discrete Mathematics (4 credits)
 
An introduction to the concepts fundamental to the analysis of algorithms and their realization. Topics will include combinatorics, generating functions, recurrence relations, graph theory, and networks. Pre: Math 247 or consent.
 

Math 392 Topology of Euclidean Spaces (4 credits)
 
Metric spaces, topology of metric spaces, continuity, compactness in metric spaces, and Euclidean n-space. Pre: Math 290.
 

Math 411 Introduction to Complex Variables (4 credits)
 
Algebra and geometry of complex numbers, analytic functions, power series, Cauchy's theorem and residue theorem. Pre: Math 223 and 290.
 

Math 417 Real Analysis I (3 credits)
 
Limits and continuity, sequences and series, differentiation and integration. Pre: Math 223 and 290.
 

Math 418 Real Analysis II (3 credits)
 
Topology of Euclidean spaces, continuous functions, sequences of functions and differentiable mappings. Pre: Math 417.
 

Math 422 Partial Differential Equations (4 credits)
 
This course presents the theory, computations, and applications of partial differential equations and Fourier series. Pre: Math 223 and 321.
 

Math 425 Mathematical Modeling (4 credits)
 
This course presents topics from mathematical analysis of both discrete and continuous models taken from problems in the natural sciences, economics and resource management. Pre: Math 223 and 247.
 

Math 435 Modern Geometry (4 credits)
 
Geometry of spaces including Euclidean and non-Euclidean and applications of contemporary geometry. Pre: Math 332 or consent.
 

Math 442 Theory of Numbers (4 credits)
 
Euclidean algorithm, primes, composites, number theoretic functions, congruencies, Diophantine equations, Euler and Fermat theorems, algebraic number fields. Pre: Math 345.
 

Math 446 Abstract Algebra II (4 credits)
 
A continuation of Math 345. The course will include topics from groups, rings, and fields. Pre: Math 345.
 

Math 447 Linear Algebra II (3 credits)
 
An in-depth study of linear operators and their related spaces, dimension, rank, matrix representation of linear operators, special matrices, determinants, eigenvectors and eigenvalues. Pre: Math 345.
 

Math 455 Theory of Statistics I (4 credits)
 
A mathematical approach to statistics with derivation of theoretical results and of basic techniques used in applications. Includes probability, continuous probability distributions, multivariate distributions, functions of random variables, central limit theorem and statistical inference. Same as Stat 455. Pre: Math 223.
 

Math 456 Theory of Statistics II (4 credits)
 
A mathematical approach to statistics with derivation of theoretical results and of basic techniques used in applications, including sufficient statistics, additional statistical inference, theory of statistical tests, inferences about normal models and nonparametric methods. Same as Stat 456. Pre: Math/Stat 455.
 

Math 470 Numerical Analysis I (4 credits)
 
This course provides an introduction to techniques and analysis involved with solving mathematical problems using technology. Topics included are errors in computation, solutions of linear and nonlinear equations, numerical differentiation and integration, and interpolation. Pre: Math 122 and 247.
 

Math 471 Numerical Analysis II (4 credits)
 
This course is a continuation of Math 470. Topics included are the algebraic eigenvalue problem, least-squares approximation, solutions of systems of nonlinear equations, numerical solutions of ordinary differential equations. Pre: Math 470, 223.
 

Math 480 History of Mathematics (3 credits)
 
The development of selected topics from before the Hellenistic time period to the late twentieth century. Familiarity with the content of Hist 180 is beneficial. Pre: Math 345.
 

Math 483 Advanced Viewpoint of 5-8 School Mathematics (3 credits)
 
Advanced viewpoint of mathematical content, theories of learning, teaching strategies, reading strategies, assessments and planning for teaching mathematics in grades 5-8. Pre: Math 290.
 

Math 484 Technology in 5-12 School Mathematics (2 credits)
 
This course is designed to inform secondary mathematics teachers about effective utilization of technology in the mathematics curriculum. Pre: Math 345.
 

Math 485 Teaching Secondary School Mathematics (3 credits)
 
This course is designed to inform the prospective secondary mathematics teacher about current trends and issues, and instructional techniques and materials. Pre: Math 345.
 

Math 487 Teaching Experiences in Mathematics (1 credit)
 
Student will work with an experienced member of the faculty in teaching a college mathematics course.
 

Math 488 Seminar (1-3 credits)
 
A course of study in which a group of students study a topic by examining results through reports and discussions. May be repeated for credit on each new topic.
 

Math 490 Workshop (1-4 credits)
 
A short course devoted to a specific mathematical topic. May be repeated for credit on each new topic.
 

Math 491 Inservice (1-4 credits)
 
A course designed to upgrade the qualifications of persons on-the-job. May be repeated for credit on each new topic.
 

Math 492 Mathematics Capstone Experience (3 credits)
 
This course is designed to allow undergraduate students an opportunity to integrate their mathematical experiences by working on a problem in applied or theoretical mathematics. Content will vary by semester. The course can also be taken as an independent study with permission of a cooperating faculty member. Pre: Senior standing and two of the following three courses - Math 316, 345, 375.
 

Math 495 Selected Topics (1-4 credits)
 
A course in an area of mathematics not regularly offered. May be repeated for credit on each new topic.
 

Math 496 Mathematical Logic (3 credits)
 
Propositional logic, first and second order logic, completeness, consistency, models of theories, Godel's Incompleteness theorem. Pre: Math 345.
 

Math 498 Internship (1-12 credits)
 
Provides a student the opportunity to gain expertise and experience in a special field under the supervision of a qualified person.
 

Math 499 Individual Study (1-4 credits)
 
Independent individual study under the guidance and direction of a faculty member in mathematics. Special arrangements must be made with an appropriate faculty member. May be repeated for credit on each new topic.

Courses in Statistics


Stat 154 Elementary Statistics (3 credits)
 
Basic descriptive measures of data, elementary probability concepts and their relation to statistical inference, tests of hypotheses and confidence intervals. An appropriate preparation for more advanced statistics courses in any area. Pre: Two years of high school algebra or Math 098.
 

Stat 354 Concepts of Probability and Statistics (3 credits)
 
This is a calculus-based course covering introductory level topics of probability and statistics. It is designed to meet the needs of both the practitioner and the person who plans futher in-depth study. Topics include probability, random variables and probability distributions, joint probability distributions, statistical inference (both estimation and hypothesis testing), analysis of variance, regression and correlation. Same as Math 354. Pre: Math 122.
 

Stat 357 Sample Survey and Design (3 credits)
 
Random sampling and systematic sampling methods including stratified random sampling, cluster sampling and two-stage sampling, ratio estimation, regression and population size estimation. Pre: Introductory course in statistics or consent.
 

Stat 358 Categorical Data Analysis (3 credits)
 
Forms of multivariate analysis for discrete data, two-dimensional tables, models of independence, log-linear models, estimation of expected values, model selection, higher dimensional tables, logit models and incompleteness. Pre: Introductory course in statistics or consent.
 

Stat 359 Nonparametric Methods (3 credits)
 
Derivation and usage of nonparametric statistical methods, applications in count and rank data, analysis of variance for ranked data and statistical quality control. Pre: Any course in statistics.
 

Stat 450 Regression Analysis (3 credits)
 
Simple and multiple regression, correlation, analysis of variance and covariance. Pre: Math/Stat 354 or 455.
 

Stat 451 Experimental Designs (3 credits)
 
Completely randomized, randomized block, fractional factorial, incomplete block, split-plot, Latin squares, expected mean squares, response surfaces, confounding, fixed effects and random effects models. Pre: Math/Stat 354 or 455.
 

Stat 455 Theory of Statistics I (4 credits)
 
A mathematical approach to statistics with derivation of theoretical results and of basic techniques used in applications. Includes probability, continuous probability distributions, multivariate distributions, functions of random variables, central limit theorem and statistical inference. Same as Math 455. Pre: Math 223.
 

Stat 456 Theory of Statistics II (4 credits)
 
A mathematical approach to statistics with derivation of theoretical results and of basic techniques used in applications, including sufficient statistics, additional statistical inference, theory of statistical tests, inferences about normal models and nonparametric methods. Same as Math 456. Pre: Math/Stat 455.
 

Stat 488 Seminar (1-3 credits)
 
The study of a particular topic primarily based upon recent literature. May be repeated for credit on each new topic.
 

Stat 491 Inservice (1-4 credits)
 
A course designed to upgrade the qualifications of persons on-the-job. May be repeated for credit on each new topic.
 

Stat 495 Selected Topics (1-4 credits)
 
A course in an area of statistics not regularly offered. May be repeated for credit on each new topic.
 

Stat 498 Internship (1-12 credits)
 
Provides a student the opportunity to gain expertise and experience in a special field under the supervision of a qualified person.
 

Stat 499 Individual Study (1-4 credits)
 
Independent individual study under the guidance and direction of a faculty member in mathematics. Special arrangements must be made with an appropriate faculty member. May be repeated for credit on each new topic.