### Mathematics

Professors Haines and Wong; Associate Professors Ross (chair), Shulman, and Greer; Assistant Professor Jayawant; Visiting Assistant Professor Salomone; Visiting Instructor Moras; Lecturers Coulombe and Balcomb

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 and a minor in mathematics. More information on the mathematics department is available on the Web site (www.bates.edu/MATH.xml).

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 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 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, 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).

Major Courses Taken Elsewhere. Of the nine courses (205, 206, 301, 309, s21 and four electives) required for the mathematics major, up to four may be taken at other institutions, in off-campus study programs, or in other Bates departments. These courses are subject to these limitations:

1) At least one of 301 (Real Analysis) and 309 (Abstract Algebra) must be completed at Bates.

2) s21 (Introduction to Abstraction) must be completed at Bates.

3) At least two of the four elective mathematics courses must be completed at Bates.

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

Minor in Mathematics. Designed either to complement another major, or to be pursued for its own sake, the minor 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 s20 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 minor: Mathematics 360, 457, 458, and s50.

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

General Education Information for the Classes of 2009 and 2010. The quantitative requirement is satisfied by any of the mathematics courses or units and

First-Year Seminar 355. Advanced Placement, International Baccalaureate, or A-Level credit awarded by the department for mathematics, computer science, or statistics may also satisfy the quantitative requirement.

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations

Concentrations

This course is referenced by the following General Education Concentrations