18 at Massachusetts Institute of Technology

Intro sequences

The shortest canonical route from each entry point to a gateway course.

• 1. 18.100AReal Analysis
  2. 18.090Introduction to Mathematical Reasoning
  3. 18.100BReal Analysis
  4. 18.100PReal Analysis
  5. 18.100QReal Analysis
  6. 18.701Algebra I
• 1. 18.100QReal Analysis
  2. 18.090Introduction to Mathematical Reasoning
  3. 18.100AReal Analysis
• 1. 18.100BReal Analysis
  2. 18.090Introduction to Mathematical Reasoning
  3. 18.100AReal Analysis
• 1. 18.100PReal Analysis
  2. 18.090Introduction to Mathematical Reasoning
  3. 18.100AReal Analysis

Gateway courses

Each of these unlocks the largest share of downstream work on this map. Courses from other departments can appear here when they genuinely gate 18 coursework.

• 18.701Algebra Iopens 66 courses (31 directly)
• 6.1210Introduction to Algorithmsopens 14 courses (7 directly)
• 18.702Algebra IIopens 10 courses (7 directly)
• 18.901Introduction to Topologyopens 7 courses (3 directly)
• 6.1220[J] Design and Analysis of Algorithmsopens 6 courses (6 directly)
• 18.101Analysis and Manifoldsopens 6 courses (3 directly)

The map

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 18 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 164 18 and feeder courses that have prerequisite links. 56 more 18 courses have no recorded prerequisites. They are listed under Tracks below, not drawn as loose dots here.

Tracks

Upper-level clusters, grouped by the gateway that opens them.

The longest ladders

The deepest prerequisite chains in 18. These are the routes that take the most semesters to climb.

• 6 courses deep, ending at 18.117

  1. 18.090Introduction to Mathematical Reasoning
  2. 18.701Algebra I
  3. 18.101Analysis and Manifolds
  4. 18.952Theory of Differential Forms
  5. 18.965Geometry of Manifolds I
  6. 18.117Topics in Several Complex Variables

• 6 courses deep, ending at 18.158

  1. 18.090Introduction to Mathematical Reasoning
  2. 18.701Algebra I
  3. 18.102Introduction to Functional Analysis

• 6 courses deep, ending at 18.758

  1. 18.090Introduction to Mathematical Reasoning
  2. 18.701Algebra I
  3. 18.702Algebra II

• 5 courses deep, ending at 18.357

  1. 18.03Differential Equations
  2. 18.04Complex Variables with Applications
  3. 12.800Fluid Dynamics of the Atmosphere and Ocean

Grade medians

Professors

No section schedule with instructor names for 18 yet.

Clubs & organizations

No clubs or organizations on record under 18 yet.

Clubs students here join

Department events

18 does not run a page here yet. When it does, its events show up here and on the MIT campus feed.