Students in the Classes of 2017 and 2018 may continue to follow these requirements, or may switch to the new requirements by submitting a new plan of study.
a. Foundation
Two to four half-courses in calculus, linear algebra, and differential equations:
i. Mathematics 1a
ii. Mathematics 1b
iii. Applied Mathematics 21a, Mathematics 19a, 21a, 23a, 25a, or 55a
iv. Applied Mathematics 21b, Mathematics 19b, 21b, 23b, 25b, or 55b
b. Breadth
Six or seven half-courses (see note) from the following seven categories, including at least one half-course from each of the first two categories, and one course from at least five categories.
i. Computation: Applied Mathematics 111, 205, 207; Computer Science 50, 51, 61, 205; Statistics 121, 135
ii. Probability and Statistics: only one of Statistics 110, or Mathematics 154;
Statistics 111, 121,139, Mathematics 117
iii. Algebra:
Linear Algebra: either Applied Mathematics 120 or Mathematics 121
Abstract Algebra: either Applied Mathematics 106/206 or Mathematics 122; Mathematics 123
iv. Differential Equations and Analysis:
Differential Equations: either Mathematics 110 or Applied Mathematics 105; Applied Mathematics 147, 202
Analysis: Applied Mathematics 104, 201, 202; Mathematics 112, 113, 114, 115, 118r
v. Modeling: Applied Mathematics 50, 91r, 115; Economics 985; or an approved advanced technical elective
vi. Optimization: Mathematics 116; Applied Mathematics 121
vii. Discrete Mathematics:Applied Mathematics 107; Mathematics 152, 155r
Remarks: For AM/Ec students, we usually recommend real analysis (Math 112) and either AM121 or Math 116. The latter two classes cover optimization with different perspectives.
c. Application
Five half-courses from an area of application in which mathematics has been substantively applied, selected to provide a coherent and cumulative introduction to mathematically-oriented aspects of the field. See Areas of Application for sample five-course plans.
d. Notes
Four Foundation courses are required for students starting in Mathematics 1a, three are required for students starting in Mathematics 1b, and two are required for students starting in 21a. Students starting in 21a may take either Mathematics 101, or Computer Science 20 as a third Foundation course; these students are then required to take only six courses in the Breadth category.