- Section 16.1
- Integrating over curve C
- Limit definition
- Evaluating line integrals
- Parameterize curve C
- Integrate
- Can add integrals over smooth sub-curves to get integral over whole curve
- Coils, springs, etc. as curves in space, use line integrals to compute mass, moment,
etc.
- Chart of other formulas
- Examples
- Spiral staircase in a cloud of pollen/dust/etc.
- Zig zag staircase in pollen/dust/etc.
- Example that uses 2 subpaths
- Example that uses 2 subpaths
- Ray tracing is essentially about a line integral of “everything that happens
to light” over paths from light source to viewer
- Spiral staircase in a cloud of pollen/dust/etc.
- Vector fields
- Read “Vector Fields” and “Gradient Fields” parts of
section 16.2
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