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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.

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A01 Graduate numerical analysis

Advanced pathA: Advanced appliedplannedabout 180 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.

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Named in: Advanced applied mathematics pathway

Why this course

Approximation, stable algorithms and error analysis with reproducible experiments.

Prerequisites

Required
B12 Numerical analysis I, B19 Numerical linear algebra, B22 Scientific computing laboratory
Recommended
none
Can be taken at the same time
none
Everything required, transitively (11 courses)
B01, B02, B03, B04, B08, B12, B19, B22, F01, F02, F03
Courses that require this one
A03, A06, A15, A16

Concept-level units

Units follow the syllabus order, as a recommended sequence rather than a gate.

  1. Approximation and interpolation
  2. Stable algorithms
  3. Sparse and iterative methods
  4. Numerical ODEs
  5. Error analysis
  6. Implementation and reproducibility

Assessable outcome

Prove an error bound and verify it through a reproducible numerical experiment.

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.

  • Trefethen and Bau
  • Driscoll and Braun
  • Higham as reference

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

No bridge or laboratory is attached to this course yet.

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