
2020  2021 Undergraduate Catalog [ARCHIVED CATALOG]
Mathematics, Standard Mathematics Concentration, BS


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Requirements for Major
The study of mathematics is motivated by its wide applicability and its intrinsic beauty. Mathematical theories often grow out of problems that appear in the physical and biological sciences, engineering, economics, finance and the social sciences. Applications often draw on mathematics that was created for completely different purposes. The mathematics program at William and Mary allows students to design a major based on their own interests and career goals and prepares students for postbaccalaureate employment and for further study of mathematical sciences and related disciplines. There are three concentrations within the major – the Standard Concentration, the Applied Mathematics Concentration and the PreCollege Mathematics Teaching Concentration. Study options include applied and pure mathematics, operations research, statistics, and teaching at the elementary or secondary level. Students can also design elective programs needed for careers in actuarial science and industrial mathematics, for interdisciplinary work in fields such as economics, business and social sciences, or for graduate studies.
Information about the mathematics major, career choices and appropriate courses of study is available from the department’s academic advisors and the Office of Career Services as well as informally from the mathematics faculty. Major Writing Requirement:
A student in any Mathematics major concentration satisfies the upperdivision mathematics writing requirement in one of the following ways:
 Completion of the course MATH 400  Mathematical Connections.
 Completion of an Honors Thesis in MATH 495MATH 496 with a grade of C or better.
 Completion of MATH 300 with a grade of C or better, through the completion of a supervised expository individual writing project.
Options 1 and 2 above will also count as the student’s COLL 400 requirement. A student should only choose option 3 in MATH 300 if that student is taking the COLL 400 requirement in another department (through an honors thesis or otherwise). For option 1 in MATH 400, the student just needs to register for this course. For options 2 and 3, the student should first communicate with a faculty member about supervising the honors thesis or writing project. The student can then register for the course in a section corresponding to the faculty member who has agreed to supervise the student. Note that the MATH 400 option above is a standard course which meets regularly, while the other two options are individually supervised and do not have a lecture component. For students In the PreCollege Mathematics Teaching Concentration, the writing requirement must incorporate some element of the history of mathematics.
Computer Proficiency Requirements:
A student in any Mathematics major concentration must show proficiency in some highlevel computer programming language at the level of CSCI 140 or CSCI 141 . This is normally done by receiving a grade of at least C in CSCI 140 or CSCI 141 . Exceptions require the department chair’s permission.
In addition, students in the Applied Concentration must demonstrate proficiency at the level of CSCI 241 . This is normally done by taking and passing this course.
Enriching the Mathematics Major:
The requirements described below are the minimal requirements for the mathematics major, and most mathematics majors take courses beyond that minimum. Students wishing to obtain a deeper understanding of mathematics (e.g., in preparation for graduate school) should take additional upperdivision courses. Second courses to make yearlong sequences in linear algebra, analysis, abstract algebra, numerical analysis, statistics, or operations research are particularly recommended. The Standard Mathematics Concentration
This is the most flexible of the three concentrations, allowing the widest choice of electives. Students who are considering graduate study often pursue this concentration, as do some students aiming for precollege teaching, but the flexible requirements of the concentration are also appropriate for students with other goals. The major requirements of the Standard Concentration are: Additional Requirements:
 Completing the major writing requirement and computer proficiency requirement as described above;
 MATH 307  Abstract Algebra Credits: (3)
 MATH 311  Elementary Analysis Credits: (3)
 MATH 495  Honors Credits: (3)
 MATH 496  Honors Credits: (3)
 Either MATH 495496 (Honors thesis), plus three other threecredit 400 level mathematics courses (not including MATH 400) and one threecredit mathematics course at the 300400 level, which cannot include both MATH 351 and MATH 451 (for a total of at least eight upperdivision courses that cannot include MATH 400, and cannot include both MATH 351 and MATH 451).
or  Excluding MATH 495496, three threecredit mathematics courses at the 400level (not including MATH 400), plus two other threecredit mathematics courses at the 300400 level, which cannot include both MATH 351 and MATH 451 (for a total of at least seven upperdivision courses that cannot include MATH 400, and cannot include both MATH 351 and MATH 451).
Additional Information:
With permission of the department chair, certain threecredit upperdivision mathematical courses from other departments (e.g., Computer Science, Economics, or Physics) may be used as upperdivision elective courses in this requirement. Mathematics courses from other institutions (other than Study Abroad), taken after matriculation at William & Mary, cannot transfer for credit towards a Mathematics major.
Advanced Standing
Entering students may receive credit for mathematics courses through AP or IB and transfer credit. In each of the mathematics major concentrations, wellprepared students may begin their studies beyond MATH 111 without receiving credit for earlier courses listed in the core requirements section of each concentration. Each skipped course for which the student does not receive credit must be replaced by an additional threecredit 300400 level mathematics course. 
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