Mathematics

Mathematics is a grouping of sciences, including geometry, algebra, and calculus, that study quantity, structure, space, and change.  Mathematics concentrators at Brown can explore these concepts through the department’s broad course offerings and flexible concentration requirements. The concentration leads to either the Bachelor of Arts or Bachelor of Science degree (the latter is strongly recommended for students interested in pursuing graduate study in mathematics or related fields). Concentrators begin their learning with multivariable calculus, linear algebra, and abstract algebra. Beyond these prerequisites, students take a variety of advanced topics on the 1000 and 2000 level based on their interests. Students also have the option of completing a thesis project.

Concentrators in mathematics should complete the prerequisites by the end of their sophomore year.   It is strongly recommended that students take MATH 1010 before taking MATH 1130.

Standard program for the A.B. degree

Prerequisites:
Multivariable calculus and linear algebra (choose one of the following sequences):2
Intermediate Calculus
   and Linear Algebra
Intermediate Calculus
   and Honors Linear Algebra
Intermediate Calculus (Physics/Engineering)
   and Linear Algebra
Honors Calculus
   and Honors Linear Algebra
Or the equivalent
Program:
MATH 1530Abstract Algebra1
Five other 1000- or 2000-level Mathematics courses 15
Total Credits8
1

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:
Multivariate calculus and linear algebra (choose one of the following sequences):2
Intermediate Calculus
   and Linear Algebra
Intermediate Calculus
   and Honors Linear Algebra
Intermediate Calculus (Physics/Engineering)
   and Linear Algebra
Honors Calculus
   and Honors Linear Algebra
Or the equivalent
Program:
MATH 1130
  & MATH 1140
Functions of Several Variables
   and Functions Of Several Variables
2
MATH 1530Abstract Algebra1
MATH 1540Topics in Abstract Algebra1
or MATH 1560 Number Theory
Four other 1000- or 2000- level Mathematics courses.4
Four additional courses in mathematics, science, economics, or applied mathematics approved by the concentration advisor.4
Total Credits14

Honors

Honors degrees may be recommended for students who have exhibited high achievement in mathematics. Candidates must complete at least eight mathematics courses at 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 MATH 1970. The candidate should consult with the concentration advisor for the precise grade requirements.

Those interested in graduate study in mathematics are encouraged to take:

Functions of Several Variables
Functions Of Several Variables
Complex Analysis
Combinatorial Topology
Topics in Abstract Algebra