After MATH 220
Gateway: MATH 220
Building the department map…
Building the department map…
Department paths
Courses with no prerequisites inside the department that unlock the most downstream work.
The shortest canonical route from each entry point to a gateway course.
Each of these unlocks the largest share of downstream work on this map. Courses from other departments can appear here when they genuinely gate MATH coursework.
Generated from University of Illinois Urbana-Champaign’s catalog, prerequisite, and concentration data. Spotted an error? Departments can adjust labels, ordering, and notes without a code change, so contact us.
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 MATH 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 94 MATH and feeder courses that have prerequisite links. 27 more MATH courses have no recorded prerequisites. They are listed under Tracks below, not drawn as loose dots here.
The concentrations and majors that build on MATH, and how their requirements are structured. Expand a program to see which courses satisfy each group, then plan it in the Planner.
Science elective(s), chosen from one of the followingchoose 4
MechSE electives chosen from the departmentally approved list below.6 required · verify with the official sheet
All 400 level ME courses, except 470 and potentially 497, 498 (As Approved); All 400 level TAM courses, except potentially 497, 498 (As Approved)
Technical electives chosen from the departmentally approved list below.choose 6
All ofall required
Choose 1choose 1
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Required Computer Science Courseworkchoose 1
OR; & two CS courses at the 400 level above CS 403 , excluding CS 421 and CS 491
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Computer Science Core2 required · verify with the official sheet
Computer Science Technical Electives: Two 400-level courses chosen in consultation with an advisor. These two courses must be above CS 403 , not CS 491 , and distinct from all other courses used to fulfill program requirements or options.
Upper-level clusters, grouped by the gateway that opens them.
The deepest prerequisite chains in MATH. These are the routes that take the most semesters to climb.
11 courses deep, ending at MATH 502
11 courses deep, ending at MATH 512
10 courses deep, ending at MATH 519
10 courses deep, ending at MATH 532
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Advanced Chemistry11 required
CHEM or BIOC courses numbered 300 or higher, which must include three laboratory courses from the following:; A student who has earned at least 6 credit hours in any combination of CHEM 397 , CHEM 497 , or CHEM 499 must complete only two laboratory courses from the list, one of which must be CHEM 317 , CHEM 437 , or CHEM 447 .
Mathematicsall required
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Technical Electives1 required · verify with the official sheet
CHEM (300 or higher), BIOC, CHBE (200 or higher); Courses in life sciences (all courses at 200 or higher); Mathematics or computer science above the basic level; Other courses in the physical and biological sciences and engineering including CHEM 199 (Three hours maximum credit in CHEM 199 . Additional courses in sciences and engineering can be taken, upon consultation with the SCS advisor and app
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Advanced Astronomy Courses (Minimum 12 total advanced ASTR hours required)all required
Select 2 courses from the following list:; Additional ASTR course(s) at the 300 level or higher
Minimum Total Hours15 required
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Data Science Fundamentals12 required
Computational Fundamentals4 required
Data Science Corechoose 1
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Business Administration Specialization (choose one of the four specializations below)12 required · verify with the official sheet
Information Systems Specialization:; International Business Specialization:; Management Specialization:; Operations Management Specialization:
Total Hours15 required
All MATH courses in the UIUC catalog
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