Semester 1fall
Building the department map…
Building the department map…
Department paths
APMA is a ladder department: MATH 0100-level calculus feeds the ODE sequence (APMA 0330/0340 or 0350/0360), and APMA 1650 (probability) is the hinge that opens statistical inference, information theory, and the 1930/1940-level project courses.
Courses with no prerequisites inside the department that unlock the most downstream work.
A suggested order for the 74 courses on the map, built from prerequisite chains and how often each course has run in fall and spring across the last 12 regular terms. It is not the department’s plan, and it is not a promise a course will run. Confirm against the department’s own advising material.
Semester 1fall
Generated from Brown University’s catalog, prerequisite, and concentration data, with curated ordering and notes. Spotted an error? Departments can adjust labels, ordering, and notes without a code change, so contact us.
Semester 2spring
Semester 3fall
Semester 4spring
Semester 5fall
Semester 6spring
Semester 7fall
Each of these unlocks the largest share of downstream work on this map. Courses from other departments can appear here when they genuinely gate APMA coursework.
Intro tiers at the top, advanced work below; arrows point from a prerequisite to the course it unlocks. Courses from other departments appear where they gate APMA work. Click any course to see what it requires and unlocks without leaving this page; hovering lights up its neighbors. The lists on this page carry the same courses in text form.
Showing the 74 APMA and feeder courses that have prerequisite links. 73 more APMA courses have no recorded prerequisites. They are listed under Tracks below, not drawn as loose dots here.
The concentrations and majors that build on APMA, and how their requirements are structured. Expand a program to see which courses satisfy each group, then plan it in the Planner.
Ordinary differential equations (APMA 0355)1 required
Partial differential equations (APMA 0365)1 required
Two 1000+ APMA courses2 required
One 1000+ APMA or MATH course1 required
Introductory series (one path)choose 1
CS foundations (one per area)all required
Three 1000+ technical CSCI courses3 required
Linear algebra
Differential equations1 required
Mathematical foundations1 required
Two biology core courses2 required · verify with the official sheet
Two general-core biology courses.
Linear algebra
Upper-level clusters, grouped by the gateway that opens them.
Gateway: APMA 0350
Probability first, then statistical inference (1660), information theory (1710), and pattern theory (1740).
Gateway: APMA 1650
The deepest prerequisite chains in APMA. These are the routes that take the most semesters to climb.
5 courses deep, ending at APMA 1930Z
5 courses deep, ending at APMA 1940V
5 courses deep, ending at APMA 1941E
4 courses deep, ending at APMA 1080
CSCI 02001 required
APMA 03551 required
APMA 03651 required
APMA 16551 required
ECON 11301 required
ECON 12101 required
ECON 16301 required
APMA 03551 required
APMA 03651 required
APMA 16551 required
ECON 11301 required
ECON 12101 required
ECON 16301 required
Capstone / senior seminar1 required · verify with the official sheet
APMA 1360, an APMA senior seminar, or approved research / independent study.
APMA 03551 required
APMA 03651 required
APMA 16551 required
APMA 10701 required
APMA 10801 required
CHEM 03301 required
BIOL 02001 required
Capstone / senior seminar1 required · verify with the official sheet
NEUR 00101 required
NEUR 10201 required
CSCI 02001 required
NEUR 06801 required
Two upper-level neuroscience electives2 required · verify with the official sheet
Two electives that deepen neuroscience understanding.
Chemistry core1 required · verify with the official sheet
One general-core chemistry course.
Intro CS serieschoose 1
APMA 16551 required
APMA 10801 required
CHEM 04001 required
BIOL 02801 required
Research (two semesters)2 required · verify with the official sheet
Two semesters of research or equivalent summer research.
BIOL 02001 required
Four theme courses4 required · verify with the official sheet
A cohesive four-course theme (≤2 per department).
Senior capstone1 required · verify with the official sheet
A senior seminar, independent research (BIOL 1950/1960), or approved internship.
PHYS 00401 required
BIOL 02001 required
CHEM 03301 required
CHEM 03501 required
Intro Neuroscience (NEUR 0010)1 required
Principles of Neurobiology (NEUR 1020)1 required
Neural Systems (NEUR 1030)1 required
Research1 required · verify with the official sheet
One semester of research (independent study, CURE course, or structured program).
All APMA courses in the Brown catalog
Grade medians are for verified students. Sign in with your school email to see them.
Use your school emailInstructors on APMA sections in Spring 2027, from the registrar's schedule.
Groups the university lists under this department.
This shows once five students share their club memberships.
Applied Mathematics does not run a page here yet. When it does, its events show up here and on the Brown campus feed.