After MATH 1400
Gateway: MATH 1400
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.
Generated from University of Pennsylvania’s catalog, prerequisite, and concentration data. Spotted an error? Departments can adjust labels, ordering, and notes without a code change, so contact us.
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.
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 85 MATH and feeder courses that have prerequisite links. 152 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.
Major Requirementschoose 1
MATH Core Requirements; Select 1 Calculus II course; Linear Algebra; STAT Core Requirements; Select 2 course units of the following:; MATH Electives; Select 3 of the following:; ECON Core Requirement; Introduction to Micro and Macro Economics:; Waiver Conversion Complete; Intro Micro/Macro - For WHARTON Students Only:; Select an additional ECON course; Intermediate Level Micro and Macro Economics;
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
Major Requirementschoose 1
Mathematics Requirement; Calculus Requirement:; Advanced Calculus; Algebra Requirement:; Statistics Requirement:; Upper Level Math Course:; Biology Requirement; Biology Tracks are under review. Please see advisor for guidance about course selection.; Select two of the following:; Select three of the following:; Select two of the following:
All ofall required
1 course from1 required
Major Requirementschoose 1
Calculus Requirement; Complex Analysis Requirement; Advanced Linear Algebra Requirement; Differential Equations Requirement; Algebra Requirement; Analysis Requirement; Mathematics Electives; Any MATH course at the 3000-5999 level; Or any course with Attribute: AMMR; Up to one elective (two for double majors) can be Cognate: Attribute AMOR
All ofall required
1 course from1 required
College General Education Requirements and Free Electives2 required · verify with the official sheet
Foundational Approaches + Sectors + Free Electives; Mathematics Requirement; Chemistry Requirement; General Chemistry:; General Chemistry Laboratories:; Organic Chemistry Requirement; Physical Chemistry Requirements; Biological Chemistry Requirements; Physics Requirement; Research Requirement
Major Requirementschoose 1
Cell Biology and Biochemistry; Biophysics; Select 1 course unit or two .5 course units of electives; With Attribute: ABPE; Chemistry; OR; AND; Math; Physics
Choose 1choose 1
1 course from1 required
Major Requirements2 required · verify with the official sheet
Core Requirements; Biological Science Concentration Requirements; Select 1 course unit of a Biology Elective at the 2000 Level; BIOL 2000-2999; Select 1 course unit of a Biology Elective at the 3000 or 4000 Level; BIOL 3000-4999
Major Requirements2 required · verify with the official sheet
Core Requirements; Business & Technology Concentration Requirements; Select 1 course unit of an Elective in Computer and Information Science; CIS 1100 -4999; Select 4 course units of Electives in Business and Technology; Any course in ACCT, ECON, FNCE, MGMT, STAT, or with: Attribute APHE
Major Requirements2 required · verify with the official sheet
Core Requirements; Computer Techniques Concentration Requirements; Select 1 credit unit of a Physics Laboratory Elective with: Attribute APHL; Select 3 course units of Computer Techniques Electives from the following courses:; CIS 1000-4999
Major Requirements2 required · verify with the official sheet
Core Requirements; Physical Theory and Experimental Technique Concentration; Select 1 course unit of a Physics Laboratory Elective with: Attribute APHL; Select 1 credit unit of an Astronomy or Physics Elective at the 3000 or 4000 Level; ASTR 3000-4999; PHYS 3000-4999
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.
13 courses deep, ending at MATH 7210
12 courses deep, ending at MATH 7240
12 courses deep, ending at MATH 7600
11 courses deep, ending at MATH 6250
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
All ofall required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
1 course from1 required
All MATH courses in the Penn catalog
Grade medians are for verified students. Sign in with your school email to see them.
Use your school emailNo section schedule with instructor names for MATH yet.
No clubs or organizations on record under MATH yet.
This shows once five students share their club memberships.
Mathematics does not run a page here yet. When it does, its events show up here and on the Penn campus feed.