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.

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