Immutable package version
publiccourseMCF 1.1
Multivariable and Vector Calculus 0.2.0
Published by @apv on August 12, 2026.
- Source checksum
20668909c0ccf8d658204b60da6530f645c802930a48485428d4061ad1eb30ed- Package size
- 500.1 KiB
- Validation
- valid · 0 diagnostics
- Manifest ID
courses.theoria.polytechnical.multivariable-vector-calculus- Manifest version
- 0.2.0
- Entry
undefined- Language
- en-CA
- License
- CC-BY-4.0
- Authors
- APV, Theoria
- Subjects
- mathematics, multivariable calculus, vector calculus, multiple integration, vector fields
- Level
- intermediate
- Structure
- 30 lessons · 52 activities · 152 questions
Learning outcomes
- Compute and interpret partial derivatives, gradients, total differentials, tangent planes, Hessians, and local extrema.
- Solve constrained optimization problems with geometric and Lagrange-multiplier reasoning, including regularity checks.
- Set up/evaluate double and triple integrals and transform coordinates with correct Jacobians.
- Compute divergence, curl, line integrals, conservative potentials, and path-independence conditions.
- Parameterize surfaces, compute area and oriented flux, and manage orientation consistently.
- Apply and independently verify Green's, Stokes', and divergence theorems with correct hypotheses and geometry.
Release notes
No release notes were provided.
Canonical source is immutable
This release points to the validated source `.mcf.zip`. Browser-compiled learner output is derived and is not treated as repository source.