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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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B07 Ordinary differential equations

Years 1 to 3 pathB: Years 1 to 3 coreplannedabout 120 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.

Study this course (draft)

Named in: Years 1 to 3 pathway

Why this course

Models and analyses change over time; connects calculus and linear algebra to modelling.

Prerequisites

Required
B03 Calculus II: integrals & series, B04 Linear algebra I: computation & geometry
Recommended
none
Can be taken at the same time
none
Everything required, transitively (5 courses)
B02, B03, B04, F01, F02
Courses that require this one
B18, B21, U06, U10, A04, A05, E04

Concept-level units

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

  1. First-order equations
  2. Linear systems
  3. Existence and uniqueness
  4. Phase portraits
  5. Laplace transforms
  6. Stability and numerical introduction

Assessable outcome

Model an initial-value problem and explain existence, stability, and solution behaviour.

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.

  • Tenenbaum and Pollard
  • MIT differential equations

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: Phase portraits, boundary conditions, discretization planned Report solver assumptions and numerical artifacts

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