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Bachelor of Science in Aerospace Engineering

...Math Options: MATH 3215 , MATH 3670 , MATH 4305 , MATH 4317 , MATH 4320 , MATH 4347 , MATH...

Bachelor of Science in Discrete Mathematics

Certain areas of mathematics have become increasingly important over the past thirty years due to the introduction of computing into nearly every aspect of science, technology, and business. These are the branches of mathematics that are devoted to the study of discrete as opposed to continuous structures. Methods of discrete mathematics are used whenever objects are to be counted, when the relationships between finite sets are examined, and when processes involving a finite number of steps are studied. These methods become essential when, for example, computer algorithms are analyzed, transportation networks or communications systems are designed, or when optimal schedules are sought. Many problems associated with the transmission and storage of information, the design of complicated circuits, or the identification of organic chemicals require the tools of discrete mathematics. Several fields of application, most notably operations research and computer science, not only use the techniques of discrete mathematics, but have also contributed significantly to the development of the subject. For this reason, the curriculum for the bachelor's degree program in discrete mathematics combines basic work in mathematics and science and advanced studies in discrete mathematics with substantial training in these areas of application. After completion of the program's core requirements in the first two years, students take Course List Code Title Credit Hours Mathematics 15 Computer Science 10 Industrial and Systems Engineering 6 Approved Technical Electives in MATH, Computing, ECE, and Operations Research 9 Senior Research Project 4 Free Electives 12 Total Credit Hours 56 In addition to the Institute requirement of a grade-point average of at least 2.0, the School of Mathematics requires a grade of C or higher in Course List Code Title Credit Hours MATH 4022 Introduction to Graph Theory 3 MATH 4107 Introduction to Abstract Algebra I 3 MATH 4317 Analysis I 3 Students may count no more than two credit hours of coursework in physical education toward graduation. Only free electives and MATH 4999 in the degree program may be taken on a pass/fail basis, and no more than nine credit hours are allowed under this option. Math Undergraduate Website      

ESL 4317L. MATH 4317 Analysis I: NonCredit (30). 3 Credit Hours.

MATH 4317. Analysis I. 3 Credit Hours.

Real numbers, topology of Euclidean spaces, Cauchy sequences, completeness, continuity and compactness, uniform continuity, series of functions, Fourier series.