- Colloquium
- Brendan Murphy, U of R and Geneseo alumnus
- “The Sum-Product Problem”
- Wednesday, April 27, 2:45 - 4:00, Newton 204
- Extra credit as usual for write-ups
- Final
- Monday, May 9, 12:00 noon
- In our classroom
- Comprehensive, but emphasizing material since 2nd hour exam (e.g., multiple integrals, line integrals, Green’s theorem, applications, etc.)
- Designed for 2 hours, you’ll have 3+
- Rules and format otherwise similar to hour exams
- Donuts and cider
- SOFIs
- Helpful to me in planning future offerings of this course
- 1 filled out so far
- Please fill out more
- Section 16.4
- Circulation?
- Informally, a measure of how much a vector field makes things spin at a point
- And divergence is a measure of how much it makes thing compress or expand at a
point
- Circulation?
- Examples
- Circulation and flux of F(x,y) = ⟨ y-x, x-y ⟩ around circle of
radius 1 at origin
- Flux as flow into or out of a region: flux in a kettle of water brewing beer. Any
flux across kettle edges means it leaks!
- Circulation and flux of F(x,y) = ⟨ xy, x2y2
⟩ around region 0 ≤ x ≤ 2, 0 ≤ y ≤ 1
- Circulation and flux of F(x,y) = ⟨ y-x, x-y ⟩ around circle of
radius 1 at origin
- More Green’s Theorem, esp. relation to area
- No reading