Getting it into your agent
One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.
npx skills add hamzabellouch/agent-skills --skill vector-calculusgit clone --depth 1 https://github.com/hamzabellouch/agent-skillsWrote this? Show the measurements
A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.
[](https://agentmods.dev/skills/hamzabellouch/agent-skills/vector-calculus)<a href="https://agentmods.dev/skills/hamzabellouch/agent-skills/vector-calculus"><img src="https://agentmods.dev/badge/skills/hamzabellouch/agent-skills/vector-calculus/github.svg" alt="Measured on agentmods" height="20"></a>Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.
<a href="https://agentmods.dev/skills/hamzabellouch/agent-skills/vector-calculus"><img src="https://agentmods.dev/badge/skills/hamzabellouch/agent-skills/vector-calculus.svg" alt="Reviewed on agentmods" width="80" height="20"></a>What it costs to keep this loaded
Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.
| Model | Per session | Once invoked |
|---|---|---|
| Fable 5.1 | $0.00030 | $0.00351 |
| Opus 5.5 | $0.00012 | $0.00140 |
| Sonnet 5.5 | $0.00006 | $0.00070 |
| Haiku 4.5 | $0.00003 | $0.00035 |
Grade A, and why
vector-calculus scanned grade A with 1 finding against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 7d ago.
A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.
Makes network callslowCapability
Not a fault in itself. Listed so you know the mod talks to something, and to what.
- curl What it actually says
Vector Calculus
ID: math.vector_calculus
Domain: Mathematics → Calculus
Difficulty: 3/5
Prerequisites
- math.calculus.derivatives
- math.vectors.basics
Core Concepts
- gradient
- divergence
- curl
- Laplacian
- line/surface/volume integrals
- divergence and Stokes theorems
Key Equations
$$ \nabla f = (\partial_x f, \partial_y f, \partial_z f) $$ $$ \nabla\cdot\vec F = \partial_x F_x + \partial_y F_y + \partial_z F_z $$ $$ (\nabla\times\vec F)i = \epsilon{ijk}\partial_j F_k $$
Methods
- Choose the appropriate operator
- Apply the divergence/Stokes theorem to convert integrals
- Interpret geometrically
Typical Problem Types
- Computing grad/div/curl of given fields
- Flux through a surface
- Circulation of a field
Common Pitfalls
- Mixing up divergence and curl
- Wrong orientation for surface normals
Related Skills
- em.electrostatics.gauss
- mech.energy.conservative_potential
References
- Boas Ch.6
- Marsden & Tromba Vector Calculus
What ships with it
1 file beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.
What this file has done since we first saw it
Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.
- 7d ago First seen · 61 lines · 30 tokens per session scan A f8233f0cb110
vector-calculus is a skill published in the GitHub repository hamzabellouch/agent-skills (8 stars, last pushed today), licensed MIT. It adds 30 tokens to every session and 351 once invoked, about $0.0001 per session on Opus 5.5. A static security scan graded it A with 1 finding (makes network calls). No closer match exists in the catalogue, so it is treated as the original; first seen 2026-10-10.
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