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.
B06 Multivariable & vector calculus
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
Extends calculus to several variables and vector fields; the language of gradients, Hessians and constraints.
Prerequisites
Concept-level units
Units follow the syllabus order, as a recommended sequence rather than a gate.
- Partial and directional derivatives
- Gradients and Hessians
- Jacobians and chain rule
- Multiple integrals
- Vector fields and integral theorems
- Constrained extrema
Assessable outcome
Derive multivariable derivatives and explain gradients geometrically.
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.
- MIT multivariable calculus
- Hubbard and Hubbard
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: Contours, directional derivatives, Hessians, gradient/Newton steps planned State norm/metric assumptions and finite-step limitations
You and this course
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