**Undergraduate Program **

## The Undergraduate Program in Mathematics

The undergraduate program in mathematics at Brown is designed to present students with challenging courses that will train them for any future they desire be it in the economy, in government, or in academe. We are also quite flexible in placing students, our goal being to discover a students level of competence and then offering a stimulating course.

For first year students we have courses at many different levels starting at precalculus for those whose backgrounds in high school math are a bit weak and going on to the possibility of starting at advanced undergraduate courses for exceptionally well qualified and ambitious students. We offer a basic three semester calculus sequence together with a course in linear algebra as a service to the rest of the university as well as preparation for a math major. We have a two semester Advanced Placement calculus sequence for those who have had a solid calculus in secondary school. Finally there is an Honors Calculus and Honors Linear Algebra sequence for those who have excelled in secondary school calculus . Also we have a one semester calculus course for students interested in the social sciences. For those who wish to continue math at Brown but not in the traditional calculus sequence, we offer a course on the nature of mathematical reasoning and also a course in elementary number theory, With this array of introductory courses, which at first might seem a bit confusing, we are able to find for each first year student who wishes to start mathematics at Brown a course that is just about right.

To major in Mathematics we require only six courses beyond elementary calculus and linear algebra. Most math majors take many more courses than this in math, but our requirements allow those who wish to major in math to take many courses in non-mathematical subjects. We feel that a broad undergraduate liberal education is important for any student at Brown. We offer courses in algebra, geometry, and analysis, but the only required course is in modern algebra. We also have a Sc.B. program for those who wish to concentrate more intensely in math. Students considering graduate school often take a Sc.B in math.

In addition we have combined majors with the departments of physics, economics and computer science. Advanced undergraduates can also take graduate courses. Also students can design their own major by combining the study of mathematics with other subjects provided of course that it makes an academically sound program.

Our faculty balances a lively interest in students and teaching with a distinguished research reputation. All professors teach at all levels of the curriculum. It is not uncommon for a faculty member to have several Ph.D. students and also to be teaching a graduate course and an undergraduate course, the latter possibly being first year calculus. The first year honors calculus and linear algebra sequence and all advanced undergraduate courses are taught by professors. Also our upper level undergraduate courses are usually fairly small allowing students and faculty to get to know one another on a personal basis.

There is a Department Undergraduate Group (DUG) which is organized by undergraduate math majors. They sponsor talks of interest to undergraduates, study sessions, and other activities. Since the DUG has its own office in the mathematics building it is a center where undergraduates can gather to discuss whatever they think is important.

We are often asked just what a person does with a degree in
mathematics after leaving Brown. Each year several of our math
majors go to graduate school to continue studying mathematics
and then teach in a college or university. Former Brown students
now teach at the University of Chicago, at UCLA, at SUNY-Stony
Brook, at Brown, and at other universities in this country. Also
several of our graduates now teach at the secondary school level.
It is not surprising, however, that a good number of our graduates
go on to teach. Some go into banking, insurance and other financial occupations.

With a degree in mathematics you can do pretty much anything you
wish, but you often find an occupation where technical training
is especially useful.

Concentrators in mathematics should complete the prerequisites by the end of their sophomore year. Those interested in graduate study in mathematics are encouraged to take Mathematics 1130, 1140, 1260, 1410, and 1540. Students who have not had a course at the Honors level (mathematics 350 or 540) should consider taking Mathematics 1010 before Mathematics 1130. Students are encouraged to take advanced courses whenever their preparation qualifies them to do so.

## Mathematics Degree Programs

**Standard Program for the A.B. Degree**

*Prerequisites*: multivariable calculus and linear
algebra (Mathematics 180 or 200 or 350, plus 520 or 540).

*Program*: (1) Mathematics 1530; (2) five other
1000- or 2000- level Mathematics courses (one of which may
be replaced, with the approval of the concentration advisor, by
a mathematically-oriented course in science, economics, or applied
mathematics).

**Standard Program for the Sc.B. Degree**

*Prerequisites*: same as for the A.B. degree.

*Program*: (1) Mathematics 1130/1140; (2) Mathematics
1530 and either 1540 or 1560; (3) four other 1000- or 2000-level Mathematics;
(4) four courses in science, economics, or applied mathematics
approved by the concentration advisor.

*Honors*: Honors degrees may be recommended for
students who have exhibited high achievement in mathematics. Candidates
must complete at least eight mathematics courses of the 1000- or
2000-level with sufficiently good grades, and must write an honors
thesis under the guidance of a faculty member. The honors thesis
is usually written while the candidate is enrolled in Mathematics
1970. The candidate should consult with the concentration advisor
for precise grade requirements.

## Transfer Credit for Study Elsewhere

In a semester credit hour system, one Brown course is considered the equivalent of four semester hours. In a quarter credit hour system, one Brown course is considered the equivalent of six quarter hours. For that reason, the number of course transfer credits received for study away from Brown may not be equal to the number of courses taken. For example, a student taking three four-semester-hour courses, all properly approved for Brown transfer credit, will receive the equivalent of three Brown course credits. However, a student taking three four-quarter-hour courses, all properly approved for Brown transfer credit, will receive the equivalent of two Brown course credits.

In order to be considered for transfer credit, courses must be completed with a grade of C or better, and an official transcript must be received by the Office of the Registrar from the host institution. This transcript will be retained by the University. All transfer credit must receive faculty and Committee on Academic Standing approval. Students should also keep all records from their work away, including, e.g., course syllabi, exams, papers, notes, projects, and portfolios, in the event that post-approval is required from an academic department at Brown. It is the student's responsibility to clarify in advance any concerns regarding the amount of transfer credit which may be awarded.

The Brown transcript will indicate the total number of transfer credits received and the name of the host institution, as well as the approved course equivalencies and/or unassigned credits at Brown. Students applying to graduate and professional schools are often asked to provide official transcripts from all institutions at which they have been enrolled. In such cases, the student will need to request a copy of his/her transcript from the study-away institution to be sent to the other institution.