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Course Criteria
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4.00 Credits
This course consists of theory and application of representative methods in operations research, including topics from linear programming, network analysis, dynamic programming, game theory, and queuing theory. Prerequisites: MAT 216 , MAT 312, and CIS 121 or permission of instructor.
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3.00 Credits
An introduction to predicate logic and methods of proof in the contextual setting of elementary group theory. Topics will include equivalence relations, semigroups, groups, subgroups, normal subgroups, and quotient groups. Prerequisite: MAT 222 or permission of the instructor.
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4.00 Credits
This course consists of lectures and computer labs and meets five hours per week. Throughout this course, mathematical models are used to introduce, illustrate, and motivate various concepts. Among the topics treated are first order equations, numerical methods, second order linear equations with applications to mechanical vibrations and harmonic motion, higher order linear equations, Laplace transform, series solutions, matrix methods for linear systems, and nonlinear systems. Computer experiments are designed to deepen understanding of concepts, and to carry the study of certain topics to further exploration. Prerequisite: MAT 312, or permission of instructor.
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3.00 Credits
A brief review and continuation of MAT 205. Emphasis is on methods (both theory and implementation) for multiple regression and analysis of variance. A statistical software package is used as appropriate. Non-parametric methods are included. Prerequisite: MAT 205.
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4.00 Credits
This course consists of lectures and computer labs and meets five hours per week. This course is designed for the students to analyze, interpret, and criticize a collection of mathematical models arising in ecology, economy, science, etc. The deterministic view is adopted throughout the course. Among other models, the course includes decay of pollution, radioactive decay, plant growth, simple ecosystems, economic growth, population dynamics, chemical dynamics, and traffic dynamics. Computer experiments form an integral part of this course. Prerequisite: MAT 340 or permission of instructor.
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4.00 Credits
This course consists of lectures and computer labs and meets five hours per week. Polynomial approximation, numerical differentiation and integration, numerical solution of differential equations, and numerical linear algebra are some of the topics covered in this course. Emphasis is placed on error analysis. Computer programs are implemented to investigate these topics. Prerequisites: MAT 312 and MAT 340.
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3.00 Credits
This is an extension of the theory of algebraic structures including rings, fields, associative fields, etc. Associated topics such as category, morphism, isomorphism, coset, ideal, etc., are discussed. Some applications in other branches of mathematics and physics, genetics, and information theory are also included. Prerequisites: MAT 312 and MAT 325.
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3.00 Credits
This course develops the theory of calculus. Topics include topology of the real line, properties of continuous maps, sequences of functions, uniform convergence, the Reimann integral, derivatives and differential forms. Prerequisites: MAT 310 and MAT 325.
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2.00 Credits
This course is open only to, and required of all, senior Mathematics majors, as well as of all senior Mathematics with Concentration in Computer Science majors. The student will set up a portfolio of his or her mathematical and related work, investigate mathematical literature, and give oral and written presentations.
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1.00 Credits
Open to all interested students by audition. Auditions are held during orientation and during the first week of each semester. All music is for mixed choir (either SATB or SAB). Although no previous choral experience is required, basic music reading skills are helpful. Ensemble membership requires weekend performances in area churches as well as performances at various community and college functions. Prerequisite: audition and permission of instructor.
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