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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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B21 Mathematical modelling

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

Turns real questions into models, and tests them: scaling, sensitivity and validation.

Prerequisites

Required
B07 Ordinary differential equations, B11 Probability I, F03 Programming for mathematical exploration
Recommended
none
Can be taken at the same time
none
Everything required, transitively (10 courses)
B01, B02, B03, B04, B05, B07, B11, F01, F02, F03
Courses that require this one
U15, A11, A16

Concept-level units

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

  1. Model formulation
  2. Scaling and nondimensionalization
  3. Conservation laws
  4. Parameter estimation
  5. Sensitivity
  6. Validation and model limitations

Assessable outcome

Build, analyze, and validate a model rather than only fit a curve.

Assessment design

  • topic exercises
  • mixed problem sets
  • unseen proof or derivation problems
  • computational project
  • cumulative examination

cumulative; includes a project; 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.

  • Giordano, Fox and Horton · A First Course in Mathematical Modeling

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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