- REU Talk
- “Monotone Catenary Degree in Numerical Monoids”
- Jenna Zomback
- Thursday, Nov. 12, 3:30, Newton 212
- Extra credit as usual
- Summary of section 15.3
- Area of region R and average value of function over R
- Area of region R and average value of function over R
- Relation to area by single integration?
- As a calculation tool, doesn’t do much you couldn’t pretty naturally do integrating a single-variable function
- But provides a clean theoretical definition of “area” for curved regions, and generalizes to any number of dimensions
- Example
- Average value of f(x,y) = 8xy over triangle 0 ≤ x ≤ 2, y ≤ x
- Could also use integration to find area
- Could also use integration to find area
- Average value of f(x,y) = 8xy over triangle 0 ≤ x ≤ 2, y ≤ x
- Triple integrals
- Read section 15.5