Calculus › Section P · Vector analysis › Topic P.1
Vector fields
Attach a vector to every point in space and you get a wind map, a flow, a force. Two measurements — divergence and curl — then extract what a field does at a point: how much it spreads and how much it swirls.
In this topic
- A vector at every point
- Gradient fields
- Divergence: how much flows out
- Curl: how much it swirls
- Worked example: divergence and curl together
- Worked example: auditing a gradient field
- Two identities worth memorising
- Common mistakes to avoid
- Key takeaways
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Standards: Beyond AP