# Catalog

### Mathematics

Professors Haines, Wong (chair), and Rhodes; Associate Professors Ross and Shulman; Assistant Professors Greer and Jayawant; Visiting Assistant Professor Shor; Lecturers Harder and Coulombe

A dynamic subject, with connections to many disciplines, mathematics is an integral part of a liberal arts education, and is increasingly vital in understanding science, technology, and society. Entry-level courses introduce students to basic concepts and hint at some of the power and beauty behind these fundamental results. Upper-level courses and the capstone experience provide majors with the opportunity to explore mathematical topics in greater depth and sophistication, and to delight in the fascination of this important discipline.

During new-student orientation the department assists students planning to study mathematics in choosing an appropriate starting course. Based on a student's academic background and skills, the department recommends Mathematics 101, 105, 106, 110, 205, 206, or a more advanced course.

The mathematics department offers a major in mathematics and a secondary concentration in mathematics. A secondary concentration in computing science is available to the class of 2005 only. More information on the mathematics department is available on the Web site (www.bates.edu/MATH.xml).

Cross-listed Courses. Note that unless otherwise specified, when a department/program references a course or unit in the department/program, it includes courses and units cross-listed with the department/program.

Major Requirements. The mathematics major requirements accommodate a wide variety of interests and career goals. The courses provide broad training in undergraduate mathematics, preparing majors for graduate study, and for positions in government, industry, and the teaching profession.

The major in mathematics consists of:

1) Mathematics 205 and 206;

2) Mathematics s21, which should be taken during Short Term of the first year;

3) Mathematics 301 and 309, which should be taken before beginning a senior thesis or the senior seminar;

4) four elective mathematics or computer science courses numbered 200 or higher, not including 360, 395, 457, 458 or s50;

5) completion of either a one-semester thesis (Mathematics 457 or 458), a two-semester thesis (Mathematics 457-458), or the senior seminar (Mathematics 395). The thesis option requires departmental approval.

Any mathematics or computer science Short Term unit numbered 30 or above may be used as one of the electives in 4). One elective may also be replaced by a departmentally approved course from another department.

While students must consult with their major advisors in designing appropriate courses of study, the following suggestions may be helpful: For majors considering a career in secondary education the department suggests Mathematics 312, 314, 315, and 341. Students interested in operations research, business, or actuarial science should consider Mathematics 218, 239, 314, 315, and 341. Students interested in applied mathematics in the physical and engineering sciences should consider Mathematics 218, 219, 308, 314, 315, and 341. Majors planning on graduate study in pure mathematics should particularly consider Mathematics 308, 313, and 457-458. Mathematics majors may pursue individual research either through Independent Study (360 or s50), or Senior Thesis (457 and/or 458).

Pass/Fail Grading Option. Pass/fail grading may not be elected for courses applied toward the major.

Secondary Concentration in Mathematics. Designed either to complement another major, or to be pursued for its own sake, the secondary concentration in mathematics provides a structure for obtaining a significant depth in mathematical study. It consists of seven mathematics courses, four of which must be Mathematics 105, 106, 205, and 206. (Successful completion of Mathematics 206 is sufficient to fulfill the requirements for Mathematics 105 and 106, even if no course credit for these has been granted by Bates.)

The other three courses must be mathematics courses at the 150-level or above (or units at the 20-level or above). At least one of these three must be taken at Bates.

Elective courses should relate to each other with a common theme. Possible combinations include:

1) Analysis:

MATH 218. Numerical Analysis.

MATH 301. Real Analysis.

MATH 308. Complex Analysis.

2) Geometry:

MATH 312. Geometry.

MATH 313. Topology.

3) Mathematical Biology:

BI/MA 155. Mathematical Models in Biology.

MATH 219. Differential Equations.

MATH 341. Mathematical Modeling.

4) Actuarial Science:

MATH 218. Numerical Analysis.

MATH 314. Probability.

MATH 315. Statistics.

5) Statistics.

MATH 301. Real Analysis.

MATH 314. Probability.

MATH 315. Statistics.

6) Applied/Engineering Mathematics:

MATH 218. Numerical Analysis.

MATH 219. Differential Equations.

MATH 308. Complex Analysis.

MATH 341. Mathematical Modeling.

The following do not count toward the mathematics secondary concentration: Mathematics 360, 457, 458, and s50.

Pass/Fail Grading Option. Pass/fail grading may not be elected for courses applied toward the secondary concentration in mathematics.

General Education. The quantitative requirement is satisfied by any of the mathematics courses or units and FYS 317. Advanced Placement, International Baccalaureate, or A-Level credit awarded by the department for mathematics, computer science, or statistics may also satisfy the quantitative requirement.