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.
B09 Real analysis I
Years 1 to 3 pathB: Years 1 to 3 coreplannedabout 140 h (planning estimate)
Draft lectures and exercises are available for this course. They were written by AI and checked by a second AI; no person has reviewed them yet. Use them as a study aid, not as an authority.
Named in: Years 1 to 3 pathway
Why this course
Rigorous foundations of the real line, limits and continuity: the first analysis course.
Prerequisites
Concept-level units
Units follow the syllabus order, as a recommended sequence rather than a gate.
- Real-number completeness
- Sequences and limits
- Series
- Continuity
- Compactness on the real line
- Differentiation
Assessable outcome
Use quantified definitions and completeness to prove elementary analysis results.
Assessment design
- topic exercises
- mixed problem sets
- unseen proof or derivation problems
- cumulative examination
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.
- Abbott · Understanding Analysis
Content record
- Version
- 0.0.0
- Review
- no review of any kind
- Provenance
- catalogue imported from the owner brief of 29 Oct 2026; no teaching content authored
- Known issues
- none recorded
- Type
- course
Bridges and laboratories
- Laboratory: Epsilon definitions, sequence/function convergence planned Separate pictures from quantified arguments
You and this course
Reading your plan on this device…