College of Arts & Sciences

Course Descriptions

Course Descriptions:

Mathematics Courses:
100-level, 200-level, 300-level, 400-level, 500-level

Statistics Courses:
100-level, 200-level, 300-level, 400-level, 500-level , 600-level

MAT 109 Algebra for College Students (3,0,3) Review of more advanced topics from Algebra II essential for success in MAT 112 and MAT 119. MAT 109 does not count towards general education requirements. PREREQ: C or better in MAHD 099 or placement.

MAT 110 Introductory Probability (3,0,3) Enumeration techniques and probability theory. A general education course (mathematics). PREREQ: C or better in MAHD 095 or placement.

MAT 112 Applied Calculus (3,0,3) Applications of differential and integral calculus of one variable to business and the life sciences. Not open to students who have passed MAT 120 or MAT 122. A general education course (mathematics). PREREQ: C or better in MAT 109 or placement.

MAT 114 Finite Mathematics (3,0,3) Linear functions, matrix algebra, linear programming, and probability. Emphasis on applications to business. A general education course (mathematics). PREREQ: C or better in MAT 109 or placement.

MAT 115 Mathematics for Liberal Arts (3,0,3) Appreciation of mathematical ideas applied to problems from the real world; scheduling, voting schemes, apportionment, descriptive statistics, shape and symmetry, fractals, and population growth. For students of the liberal arts. A general education course (mathematics). PREREQ: C or better in MAHD 095 or placement.

MAT 115H Honors Mathematics for Liberal Arts (3,0,3) Appreciation of mathematical ideas applied to problems from the real world; scheduling, voting schemes, apportionment, descriptive statistics, shape and symmetry, fractals, and population growth. For students of the liberal arts. A general education course (mathematics). PREREQ: C or better in MAHD 099 or MAHD 095 or placement.

MAT 119 Pre-Calculus Mathematics (3,0,3) Analytic geometry; algebraic, trigonometric, exponential, and logarithmic functions. Not open to students who have passed MAT 120 or MAT 122. PREREQ: C or better in MAT 109 or placement.

MAT 128 Calculus A (3,0,3) Includes material covered in the first third of the MAT 129-MAT 229. Limits, differentiation with applications. Credit is not given for both MAT 129 and MAT 128. A general education course (mathematics). PREREQ: B or better in MAT 119 or placement.

MAT 129 Calculus I (4,0,4) Limits differentiation and integration with application. Recommended for all students interested in mathematics or science. Credit is not given for both MAT 129 and MAT 128. A general education course (mathematics). PREREQ: B or better in MAT 119 or placement.

MAT 140 Mathematics for Elementary and Middle Grades Teachers I (3,0,3)Basic concepts of numbers and arithmetic operations; number theory. Open only to students majoring in elementary or middle grades education. PREREQ: C or better in both MAH 091 and (MAHD 099 or MAHD 095); or placement.

MAT 141 Mathematics for Elementary and Middle Grades Teachers II (3,0,3)Elements of geometry. Open only to students majoring in elementary or middle grades education. PREREQ: C or better in MAT 140.

MAT 185 Introductory Discrete Mathematics (3,0,3) Number systems important in computer applications, logic, set theory, combinatorics and probability, graph theory. Not open to students who have completed MAT 385. A general education course (mathematics). PREREQ: C or better in MAT 109 or placement.

MAT 194 Mathematical Sciences Seminar (1,0,1) Introduction to disciplines in mathematical sciences; readings and discussions pertaining to the mathematical sciences. Topics vary. PREREQ: MAT 128 or MAT 129. COREQ: MAT 128 or MAT 129.

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MAT 227 Calculus B (3,0,3) Includes material covered in the middle third of MAT 129-MAT229 sequence. Integration with applications, the Fundamental Theorem of Calculus, calculus of exponential, logarithmic, and inverse functions, integration by parts; calculus of parametric equations and polar curves. A general education course (mathematics). PREREQ: C or better in MAT 128.

MAT 228 Calculus C (3,0,3) Includes material covered in the last third of the MAT 129-MAT 229 sequence. Approximate integrals, improper integrals, infinite sequences and series, tests for convergence and divergence, power series, Taylor and Maclaurin series with applications; introduction of vectors and Geometry of space; dot product and cross product. Credit is not given for both MAT 228 and MAT 229. PREREQ: C or better in MAT 227.

MAT 229 Calculus II (5,0,5) Calculus of exponential, logarithmic, and inverse functions; Techniques of Integration; Arc Length; calculus of parametric equations and polar curves; infinite sequences and series; introduction of vectors and Geometry of space; dot product and cross product. Credit is not given for both MAT 229 and MAT 228. PREREQ: C or better in MAT 129 or MAT 227.

MAT 234 Linear Algebra (3,0,3) Vectors, matrix arithmetic, vector spaces, linear transformations, and applications. PREREQ: C or better in MAT 229 or MAT228.

MAT 240 Geometry for Middle School Teachers (3,0,3) Points, lines, and planes; curves and surfaces; congruence; similarity; parallelism; transformation, tessellations; systems of measure; perimeter; area; volume; angle measure. Appropriate computer software will be introduced. Only open to students majoring in elementary or middle school education. PREREQ: C or better in MAT141.

MAT 294 Topics: Mathematics (3,0,3) Topics in mathematics or mathematics education. Topics vary. PREREQ: varies with topic.

MAT 299 Directed Readings/Independent Study (1-3 semester hours) PREREQ: consent of instructor.

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MAT 302 Introduction to Higher Mathematics (3,0,3) Essentials of logic; methods of proof; set theory. PREREQ: C or better in MAT 228 or MAT 229.

MAT 305 History of Mathematics (3,0,3) Mathematics from ancient times through development of the calculus. PREREQ: C or better in MAT129 or MAT227.

MAT 310 Elementary Theory of Numbers (3,0,3) Numbers and their representation, divisibility, and factorization; prime numbers; congruencies; primitive roots; quadratic reciprocity; diophantine equations. PREREQ: C or better in MAT 302.

MAT 324 Mathematical Problem Solving (3,0,3) Heuristics of mathematical problem solving. PREREQ: C or better in MAT 302.

MAT 325 Differential Equations (3,0,3) Ordinary differential equations, with applications. PREREQ: C or better in MAT 228 or MAT 229.

MAT 329 Calculus III (4,0,4) Cylindrical and Spherical Coordinates; Space Curves; Differentiation and Integration of vector functions; Differentiation of functions of several variables, multiple integrals; vector fields; line and surface integrals; Green’s Theorem. PREREQ: C or better in MAT 228 or 229.

MAT 330 Classical Applied Analysis (3,0,3) Fourier series; orthogonal expansions; Eigen value problems; boundary value problems in ordinary and partial differential equations. Same as PHY 330. PREREQ: C or better in MAT 325.

MAT 340 Probability II (3,0,3) Further study of topics in STA 250; multivariate distributions, approximations, functions of random variables; additional topics. PREREQ: C or better in STA 250 and (MAT 228 or MAT 229).

MAT 345 Introduction to Geometry (3,0,3) Axiomatic Euclidean geometry; introduction to non-Euclidean geometries. PREREQ: C or better in MAT 302.

MAT 360 Numerical Analysis (3,0,3) Numerical integration, solution of nonlinear equations by iterative processes; functional approximation and interpolation; initial value problems. PREREQ: C or better in MAT 234 and (INF 260 or CSC270).

MAT 375 Applied Mathematical Models (3,0,3) Basic mathematical models arising in biology, psychology, sociology, political science, and decision science; exponential growth, predator-prey, Markov chain, learning theory, linear and nonlinear programming, waiting line, and simulation models. PREREQ: C or better in (MAT 129 or MAT 227) and (STA 205 or STA 212 or STA 250).

MAT 380 Combinatorics and Graph Theory (3,0,3) Enumeration via combinations, permutations, generating functions, and recurrence relations; graph theory with trees, directed graphs, and networks; applications. PREREQ: C or better in MAT 302.

MAT 385 Discrete Mathematics (3,0,3) Propositional and predicate logic; proof techniques; recurrence relations; basic set theory; introduction to graphs, Boolean algebra; finite state machines. PREREQ: C or better in MAT 228 or MAT229.

MAT 394 Topics: Mathematics (3,0,3) Topics vary. PREREQ: varies with topic.

MAT 399 Directed Readings (1-3 sem. hrs.) PREREQ: consent of instructor.

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MAT 410 Abstract Algebra I (3,0,3) Basic number theory, including divisibility properties of integers and congruencies; introduction to groups, rings, and fields. PREREQ: C or better in MAT 234 and MAT 302.

MAT 415 Abstract Algebra II (3,0,3) Extensive study of one or more of the topics considered in MAT 410. PREREQ: C or better in MAT 410.

MAT 420 Real Variables I (3,0,3) Foundations of calculus; topology of Cartesian spaces; convergence; continuous functions. PREREQ: C or better in MAT 302 and MAT 329.

MAT 421 Real Variables II (3,0,3) Sequences and series of functions; integration. PREREQ: C or better in MAT 420.

MAT 430 Complex Variables (3,0,3) Analytic functions of a complex variable; Cauchy's theorem and Cauchy's formula; power series; contour integrals; conformal mapping; calculus of residues. PREREQ: C or better in MAT 302 and MAT 329.

MAT 483 Cryptology (3,0,3) Cryptology of classical ciphers, mathematical foundations of cryptology, Hill cipher, DES and AES, cryptography of public key cryptosystems. PREREQ: MAT 234 or CSC 362 or CSC 364.

MAT 494 Topics: Mathematics (3,0,3) Topics in mathematics or mathematics education. Topics vary. PREREQ: varies with topic.

MAT 497 Mathematical Sciences Capstone (3,0,3) Directed projects in the mathematical sciences. PREREQ: 30 semester hours earned toward the major in mathematics.

MAT 499 Directed Readings (1-3 semester hours) PREREQ: consent of instructor.

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MAT 584 Cryptography (3,0,3) Cryptology of classical ciphers, DES and AES, public key cryptosystems, authentication and cryptographic hash functions. PREREQ: consent of instructor.

MAT 594 Topics: Mathematics (3,0,3) Topics in mathematics and mathematics education. Topics vary. PREREQ: varies with topic.

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STA 110 Introductory Probability (3,0,3) Enumeration techniques and probability theory. A general education course (mathematics). PREREQ: C or better in MAHD 099 or MAHD 095 or placement.

STA 113 Introduction to Probability and Statistics (3,0,3) Probability; basic counting techniques; graphical descriptive methods; numerical descriptive methods; normal distribution; sampling distribution of a proportion; estimation of a proportion. Not open to students who have completed both of MAT/STA110 and STA 205, or both of MAT/STA 110 and STA 212, or STA 250 or STA314. A general education course (mathematics). PRERQ: C or better in MAHD099 or MAHD 095 or placement.

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STA 205 Introduction to Statistical Methods (3,0,3) Graphical descriptive measures; numerical descriptive measures; probability; hypothesis testing, estimation; analysis of variance; chi-square; regression; analysis by means of statistical software. Credit is not given for both STA 205 and STA 212. Not open to students who have completed STA 250 or STA 314. A general education course(mathematics). PREREQ: C or better in MAHD 099 or MAHD 095 or placement.

STA 212 Statistics for Business Applications I (3,0,3) Concepts of statistical description and inference and their use in business decision making; measures of central tendency and variability; hypothesis testing; estimation; linear regression and correlation; use of statistical software. Credit is not given for both STA 205and STA 212. Not open to students who have completed STA 250 or STA 314. A general education course (mathematics). PREREQ: C or better in MAHD 099 or MAHD 095 or placement.

STA 213 Statistics for Business Applications II (3,0,3) Further development of key topics in STA 212; multiple regression; time series; contingency tables; decision theory; use of statistical software. PREREQ: C or better in STA 212.

STA 250 Probability and Statistics I (3,0,3) Introduction to probability and statistics; discrete distributions, continuous distributions, sampling distributions, estimation and hypothesis testing. PREREQ: C or better in MAT 129 or COREQ: MAT 227.

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STA 312 Elementary Survey Sampling (3,0,3) Describing sets of data; estimation; elements of survey samples; single random, stratified, cluster, and systematic sampling methods; ratio and regression estimation; sampling from wildlife populations. Students will be required to conduct and analyze an actual survey. PREREQ: C or better in STA 205 or STA 212 or STA 250.

STA 314 Design and Analysis of Experiments I (3,0,3) Analysis of variance and experimental design; multiple comparison techniques; factorial experiments, regression, use of programmed routines. PREREQ: C or better in STA 205 or STA 212 or STA 250.

STA 315 Design and Analysis of Experiments II (3,0,3) Random and fixed effects models; nested designs, split plot designs; multiple regression; analysis of covariance. PREREQ: C or better in STA 314.

STA 317 Introduction to Time Series Analysis (3,0,3) Development of ARIMA models; estimation and confidence limits for model parameters; time series smoothing techniques; forecasting with ARIMA models; diagnostic checking. PREREQ: C or better in STA 213 or STA 314 or STA 341.

STA 340 Probability II (3,0,3) Further study of topics in STA 250; multivariate distributions, approximations, functions of random variables; additional topics. PREREQ: C or better in STA 250 and MAT 228 or MAT 229.

STA 341 Statistics II (3,0,3) Further study in statistics topics introduced in STA250. Topics include confidence intervals and hypothesis testing, one-factor analysis of variance, simple linear regression, chi-square analyses, and nonparametric tests. PREREQ: C or better in STA 250.

STA 360 Statistical Computing (3,0,3) Use of high-level statistical software package; data management and manipulation including sorting, merging, subsets; data analysis including frequency distributions, contingency tables, tests for means, correlation, simple and multiple linear regression, and analysis of variance; programming techniques applied to statistical analysis. PREREQ: C or better in STA 213 or STA 314 or STA 341.

STA 370 Introduction to Statistical Consulting (1,6-9,3) Supervised application of statistical methods to real research problems in the Burkardt Consulting Center(BCC); readings and discussions on statistical consulting topics; attend meetings with clients of the BCC, manage data, analyze data, and produce summary reports under faculty supervision. PREREQ: consent of instructor and a C or better in STA 314 or STA 341.

STA 394 Intermediate Topics: Statistics (3,0,3) Various topics in Statistics. PREREQ: Varies with topic.

STA 399 Intermediate Directed Readings (1-3 sem. hrs) PREREQ: consent of instructor.

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STA 419 Applied Multivariate Statistics (3,0,3) Introduction to multiple multivariate analysis techniques including: principal component analysis, factor analysis, discriminant analysis, logistic regression, and cluster analysis; other topics as time permits. PREREQ: C or better in STA 360 and (STA 314 or STA 341).

STA 450 Introduction to Actuarial Science (3,0,3) Advanced topics of probability theory; applications of probability in risk management and insurance; preparation for actuarial society examinations. PREREQ: C or better in STA 340.

STA 470 Supervised Statistical Consulting (1,6-9,3) Continuation of STA 370;more active involvement in consulting projects; completion of a major oral presentation. PREREQ: Grade of P in STA 370.

STA 494 Advanced Topics: Statistics (3,0,3) Various topics in Statistics. PREREQ: Varies with topic.

STA 499 Advanced Directed Readings (1-3 sem. hrs.) PREREQ: consent of instructor.

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STA 594 Topics: Statistics (3,0,3) Topics in statistics. Topics vary. PREREQ: varies with topic.

STA 614 Statistics for Researchers (3,0,3) Review of descriptive statistics and hypothesis testing; analysis of variance; experimental design; factorial experiments; regression and correlation; nonparametric statistics; use of programmed routines; critique of published research. PREREQ: C or better MAT 205.

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Last Modified: Friday, 21 August 2009