Under construction. This area is a framework being built: most courses have no teaching material yet, and things may change or break. Private self-study. Not an official programme and not recognised by any ministry or school. No qualification, mark or document is issued, and “years 1 to 3” and “advanced” are names of study paths only.
E19 Homological algebra
Advanced pathE: Proposed extensionsplannedproposed, not in any programmeabout 180 h (planning estimate)
Planned: syllabus only, no teaching material yet. Nothing on this page can be studied; it describes what the course would cover.
In no programme. This is a proposed extension course; the owner has not approved it into a programme.
Proposed by the assistant to fill a gap in the owner's catalogue. It is in no programme until the owner approves it.
Why this course
A standard tool of graduate algebra and topology.
Prerequisites
Concept-level units
Units follow the syllabus order, as a recommended sequence rather than a gate.
- Chain complexes and homology
- Derived functors
- Ext and Tor
- Resolutions
- Spectral sequences first look
- Applications to rings and topology
Assessable outcome
Compute Ext and Tor in examples and use exact sequences in a proof.
Assessment design
- deeper problem sets
- reconstruction of an unfamiliar argument
- advanced source reading
- cumulative examination or substantial project
cumulative; uses spaced retrieval
Resources
Every title here is candidate, unverified unless marked verified. Titles were suggested while planning. Nobody has checked that they exist, what they cost or how they are licensed.
- Weibel · An Introduction to Homological Algebra
- Rotman · An Introduction to Homological Algebra
Content record
- Version
- 0.0.0
- Review
- no review of any kind
- Provenance
- PROPOSED by the assistant on 30 Oct 2026 to fill gaps in the brief's catalogue; not in the owner's brief; needs the owner's approval and a curriculum reviewer
- Known issues
- Proposed course: not counted by any programme audit until the owner approves adding it to an elective pool.
- Type
- course
Bridges and laboratories
No bridge or laboratory is attached to this course yet.
You and this course
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