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Growth Paths / Math Electives: Geometry and topology
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Math Electives: Geometry and topology

Topology, Euclidean and non-Euclidean geometry, and curved surfaces.

Topology, Euclidean and non-Euclidean geometry, and curved surfaces. An elective area: finish one outcome in each of the 6 areas, then 3 more in one area you choose to go deep in. Free courses, a free self-check for each, and real work confirmed by 3 people. Part of the Varsity Curriculum: Mathematics, adapted from OSSU Math (MIT License).

0 required outcomes53 weeksCredential on completion

Path outcomes

SkillsOptional

Learn Topology (Topology Without Tears)

Topology Without Tears

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2 milestones

  1. 1Do the problem sets and write them up
  2. 2Write a topology proof set
SkillsOptional

Learn Euclidean Geometry Rigorously (Euclidean Plane and Its Relatives)

Euclidean plane and its relatives

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2 milestones

  1. 1Do the problem sets and write them up
  2. 2Prove a classic theorem from the axioms
SkillsOptional

Learn Non-Euclidean Geometry (Geometry with an Introduction to Cosmic Topology)

Geometry with an Introduction to Cosmic Topology

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2 milestones

  1. 1Do the problem sets and write them up
  2. 2Explore a hyperbolic world
SkillsOptional

Learn Differential Geometry (MIT 18.950)

Differential Geometry

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2 milestones

  1. 1Do the problem sets and write them up
  2. 2Compute the curvature of a surface

Resources for this path

No affiliate links. No sponsored placements.

OSSU Math ↗Curriculum

The course map this path is adapted from (MIT License).