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Course Criteria
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4.00 Credits
Prerequisite: Enrollment is restricted to students seeking middle childhood licensure with mathematics as one of their two areas of concentration or by permission of Mathematics Department chairperson. An introduction to the concepts of calculus. Pictures and hands-on experiments are used to develop an overview of the big ideas and an appreciation of how calculus helps us understand the real world. Includes differentiation, integration, and applications of calculus to the real world. No credit toward the mathematics major or minor.
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4.00 Credits
Prerequisite: MTH 327. Enrollment is restricted to students seeking middle-childhood licensurewith mathematics as one of their two areas of concentration or by permission of Mathematics Department chairperson. This course is an introduction to the concepts of calculus. Pictures and hands-on experiments are used to develop an overview of the big ideas and an appreciation of how calculus helps us understand the real world. It includes differentiation, integration and applications of calculus to the real world. No credit toward the mathematics major or minor.
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4.00 Credits
Prerequisite: MTH 284 or MTH 288. The main focus is on two-dimensional Euclidean geometry. Basic topics covered include congruence, parallelism, area, and similarity. These are discussed from the axiomatic point of view. Other topics include transformation geometry, non-Euclidean geometry, vectors in geometry and some three-dimensional Euclidean geometry. Many applications are given, such as analysis of repeating patterns, computer graphics, cartography, and robot arm motion. Dynamic geometry software, and physical models and manipulatives will be used.
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4.00 Credits
Prerequisite: A grade of "C" or better in MTH 147, MTH 323, PSY 311, COM 303, ECN 322, ESC 310, OSM 201, PSC 351, SOC 353, SWK 305, or UST 404. Topics include simple linear regression, analysis of variance, nonparametric statistics, multiple and logistic regression, statistical process control, and basic time series analysis. This course emphasizes the applied nature of statistical analysis and require using a statistical analysis software package. It counts toward the statistics minor; no credit toward the mathematics major. One course from MTH 323 or MTH 347 counts toward the mathematics minor, but not both.
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4.00 Credits
Prerequisite: MTH 288 .This course is an introduction to modern abstract algebra, concentrating on the integers and number theory, rings, fields, polynomials, and applications of these concepts. It includes use of a computer algebra system, such as Maple or MATLAB.
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4.00 Credits
Prerequisites: MTH 281 and MTH 288 or MTH 283 and MTH 284, and MTH 286. This course covers series solutions of second-order linear equations, qualitative behavior of linear and almost linear systems of first-order differential equations, boundary value problems, introduction to partial differential equations. Course includes use of a computer algebra system, such as Maple or MATLAB.
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3.00 Credits
Prerequisites: MTH 181, 182, MTH 220, and CIS 335; Mathematics majors may substitute one mathematics course numbered 280 or above for CIS 335. Topics include sets, relations, regular languages, finite automata, context-free languages, pushdown automata, phrase-structure languages, Turing machines, Church's theory, recursion, computability, decidability, and computational complexity. It is cross-listed with CIS 490.
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2.00 Credits
Prerequisites: MTH 182; three of MTH 220, MTH 281, MTH 286 and MTH 288, all grade "C" or better; or departmental approval. Weekly meetings introduce students to a wide range of mathematical topics and also include workshops on various aspects of writing cogent and well-formulated technical reports in mathematics. A focus throughout the semester will be on appreciating the historical development of mathematical topics encountered throughout the undergraduate curriculum. A primary goal of this course is to prepare the student for MTH 496 Senior Project. Successful completion of the course requires the student having an approved topic and supervisor for MTH 496.
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4.00 Credits
Prerequisites: MTH 284 or MTH 288, MTH 286, and at least one mathematics course numbered 300 or above (MTH 301 recommended). Topics include deterministic and probabilistic models chosen from the areas of linear optimization, Markov chains, game theory, graphs and networks, axiom systems, growth processes, and queuing systems. This course includes the use of a computer algebra system, such as Maple or MATLAB.
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4.00 Credits
Prerequisite: A grade of C or better in MTH 281 or MTH 283, a grade of C or better in at least one mathematics course numbered 300 or above, or permission of instructor. This course gives a rigorous introduction to the real numbers. Topics include sequences and series, basic topology of the real numbers, functional limits and continuity, the derivative, sequences and series of functions, the Riemann integral, and metric spaces. The major application is Fourier series.
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