## Mathematical Sciences (MASC)The departments of computer science, mathematics, and statistics have joined together to offer the following introductory, interdisciplinary courses in mathematical sciences: 1034: STATISTICS, A LIBERAL ARTS APPROACH 1044: COMPUTER SCIENCE, A LIBERAL ARTS APPROACH
## College of Science## Mathematics
## OverviewMathematics is essential to a clear and complete understanding of virtually all phenomena. The study of mathematics provides the ability to describe applied problems quantitatively and to analyze these problems in a precise and logical manner. This is a principal reason behind the strong demand for mathematicians in government and industry. Essentially all complex problems, whether physical, social, or economic, are solved by designing a mathematical model, analyzing the model, and determining computational algorithms for an efficient and accurate approximation of a solution. Each of these phases is mathematical in nature. For example, if a problem deviates from a standard form, a mathematician should be able to adjust appropriately the usual mathematical treatment for the problem to accommodate for the deviation. In this case mathematical training provides a practical preparation for a career in today's changing world. Moreover, it is especially valuable since it is an education that equips one to continue to adapt to new situations. Mathematicians typically are employed as applied mathematicians in their specialty areas. Our recent mathematics graduates have been approximately equally divided among government and industry, graduate school, and teaching. There are four different paths or options that a student may follow towards a B.S. in Mathematics: 1) the Traditional Option; 2) the Applied Computational Mathematics Option (ACM); 3) the Applied Discrete Mathematics Option (ADM); and 4) the Mathematics Education Option (MAED). Often students will begin their studies in the Traditional Option and later change to one of the other three options when they become more sure of the path they wish to pursue. One, however, can acquire many aspects of the three specialized options within the Traditional Option, because it also requires some degree of specialization in an applications area and provides career development features. The three specialized options are each less general, but bring particular career paths into sharper focus. Each of the four options provides an excellent foundation for graduate study, either in mathematics or in an applications area. Handbooks for each of the options, as well as mathematics career information, are available upon request. Approximately $45,000 in Hatcher, Morris, Layman, Rollins, Steeneck, Caldwell, Wells, Oehring, Eckert, Persinger, Kimball and Roselle scholarships is awarded annually to mathematics majors at Virginia Tech: $5,000 for incoming freshmen and $40,000 for continuing undergraduates. Information on the scholarships is available from the scholarship chairman in mathematics. The Cooperative Education Program is also available to qualified candidates, and students wishing to mix practical experience with their formal course studies are encouraged to investigate this option. The mathematics department firmly believes that mathematics is not only useful and beautiful, but also fun. The department sponsors student chapters of MAA (Mathematical Association of America), SIAM (Society for Industrial and Applied Mathematics), Pi Mu Epsilon (the national mathematics honorary society), and AWM (Association for Women in Mathematics). As well as social activities, these groups sponsor speakers to talk on how mathematics is used in their work. Each fall, Virginia Tech also sponsors the Virginia Tech Regional Mathematics Contest. In addition, students (not all of whom are mathematics majors) annually receive organized preparation and compete in the nationwide William Lowell Putnam Competition and the international Mathematical Contest in Modeling. Individual undergraduate research projects are available to talented students, and a research prize is awarded. An overall outstanding senior, as well as an outstanding senior for each option, is recognized each year. The Honors Program in Mathematics provides outstanding undergraduate majors the opportunity for an enriched academic environment. Through honors courses, an honors project, individual association with the faculty and honors advisors, and other perquisites, the honors student in mathematics enjoys a valuable advantage in the undergraduate experience. Moreover, in coordination with the head of Mathematics and the dean of Science, the honors student may design her/his own individual set of graduation requirements. In addition to the four undergraduate-degree options, the department also offers the M.S. and Ph.D. Moreover, for qualified students, a combined program is available that leads to both a B.S. and an M.S. in mathematics. This program saves nearly a year from the usual time required for a B.S. and an M.S. done separately. Students in the Education Option obtain a B.S. in Math and an M.A. in Education by completing four years of undergraduate study and a fifth year in education for a full secondary certification. The minor is designed to provide recognition for those students who take a program of study in mathematics above the normal requirements of their disciplines. ## Bachelor of Science in Mathematics
## Prospective Student WebsiteA great deal of further information on the Mathematics Program and on mathematical careers can be found on our website at www.math.vt.edu/ ## Minor in Mathematics
A total of 25 semester hours of the following mathematics courses for students who follow Path 1 : Calculus (1205-1206, 1224, 2224); Linear Algebra & ODE's: (1114, 2214); and ## Advanced PlacementA student following Path 1 may obtain advanced placement credit for 1205, or 1206, and students following Path 2 may obtain advanced placement credit for 1225 or 1226. The mathematics department strongly encourages calculus students to take the C.E.E.B. advanced placement test in calculus. ## Satisfactory ProgressUniversity policy requires that students who are making satisfactory progress toward a degree meet minimum criteria toward the Curriculum for Liberal Education (see Academics chapter in this catalog), toward the College of Science Core (see first part of this chapter), and toward the degree in mathematics. Satisfactory progress toward the B.S. in mathematics requires that:
## Undergraduate Courses (MATH)- Basic Sequences for Students in Engineering, Building Construction, Chemistry, Computer Science, Geological Sciences, Mathematics, Physics, and Statistics
- Basic Sequences for Students in Agriculture, Architecture, Biology, Business, and Liberal Arts and Human Sciences
- Electives (may not be taken by Mathematics Majors)
- Electives (including Mathematics Majors)
1114: ELEMENTARY LINEAR ALGEBRA 1114H: ELEMENTARY LINEAR ALGEBRA 1205-1206: CALCULUS 1224: VECTOR GEOMETRY 1224H: VECTOR GEOMETRY 1225-1226: CALCULUS OF A SINGLE VARIABLE 2114: INTRODUCTION TO LINEAR ALGEBRA 2114H: INTRODUCTION TO LINEAR ALGEBRA 2204: INTRODUCTION TO MULTIVARIABLE CALCULUS 2204H: INTRODUCTION TO MULTIVARIABLE CALCULUS 2214: INTRODUCTION TO DIFFERENTIAL EQUATIONS 2214H: INTRODUCTION TO DIFFERENTIAL EQUATIONS 2224: MULTIVARIABLE CALCULUS 2224H: MULTIVARIABLE CALCULUS
1025-1026: ELEMENTARY CALCULUS 1525-1526: ELEMENTARY CALCULUS WITH MATRICES 1535,1536: GEOMETRY AND MATHEMATICS OF DESIGN 2015-2016: ELEMENTARY CALCULUS WITH TRIGONOMETRY II 2024: INTERMEDIATE CALCULUS
1614: NUMBER AND COMPUTING FOR TEACHERS 1624: GEOMETRY AND COMPUTING FOR TEACHERS 2534: INTRODUCTION TO DISCRETE MATHEMATICS 4574: VECTOR AND COMPLEX ANALYSIS FOR ENGINEERS
2004 (ME 2004): ENGINEERING ANALYSIS USING NUMERICAL METHODS 2644: MATHEMATICS TUTORING 2964: FIELD STUDY 2974: INDEPENDENT STUDY 2974H: INDEPENDENT STUDY 2984: SPECIAL STUDY 2984H: SPECIAL STUDY 2994: UNDERGRADUATE RESEARCH 3034: INTRODUCTION TO PROOFS 3054: PROGRAMMING FOR MATHEMATICAL PROBLEM SOLVING 3124: MODERN ALGEBRA 3134: APPLIED COMBINATORICS AND GRAPH THEORY 3144: LINEAR ALGEBRA I 3214: CALCULUS OF SEVERAL VARIABLES 3224: ADVANCED CALCULUS 3414 (CS 3414): NUMERICAL METHODS 3624: EARLY TEACHING EXPERIENCE IN MATHEMATICS 4044: HISTORY OF MATHEMATICS 4124: INTRODUCTION TO ABSTRACT ALGEBRA 4134: NUMBER THEORY 4144: LINEAR ALGEBRA II 4164: ADVANCED DISCRETE MATHEMATICS 4175-4176: CRYPTOGRAPHY 4225-4226: ELEMENTARY REAL ANALYSIS 4234: ELEMENTARY COMPLEX ANALYSIS 4245-4246: INTERMEDIATE DIFFERENTIAL EQUATIONS 4254: CHAOS AND DYNAMICAL SYSTEMS 4324: ELEMENTARY TOPOLOGY 4334: COLLEGE GEOMETRY 4404 (AOE 4404): APPLIED NUMERICAL METHODS 4414 (CS 4414): ISSUES IN SCIENTIFIC COMPUTING 4425-4426: FOURIER SERIES AND PARTIAL DIFFERENTIAL EQUATIONS 4445,4446: INTRODUCTION TO NUMERICAL ANALYSIS 4454: APPLIED MATHEMATICAL MODELING 4564: OPERATIONAL METHODS FOR ENGINEERS 4625,4626: MATHEMATICS FOR SECONDARY TEACHERS 4644: SECONDARY SCHOOL MATHEMATICS WITH TECHNOLOGY 4654: CAPSTONE THESIS AND SEMINAR 4664: SENIOR MATH EDUCATION SEMINAR 4754: INTERNSHIP 4964: FIELD STUDY 4974: INDEPENDENT STUDY 4974H: INDEPENDENT STUDY 4984: SPECIAL STUDY 4994: UNDERGRADUATE RESEARCH 4994H: UNDERGRADUATE RESEARCH College of ScienceBiochemistry | Biology | Chemistry | Economics | Geosciences | Mathematics | Physics | Psychology | Statistics |
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