- Review Session Wednesday, May 6 (study day), Fraser 213, 1:00 - 2:30
- Extra hours for math learning center
- Start Monday (May 4)
- Open 9:30 weekday mornings
- Final
- Monday, May 11, noon
- Comprehensive, but emphasizing material since 2nd hour exam
- Designed for 2 hours, you have 3+
- Format and rules otherwise similar to hour exams
- Donuts and cider
- SOFIs
- Fill them out via http://go.geneseo.edu/sofi_survey
- Useful to me in improving courses
- Trochoid question on problem set 12?
- Derivatives and slopes of polar curves
- Consider r = cos 2Θ
- dr/dΘ = -2 sin2Θ
- This is rate of change of radius with angle, but not what one would intuitively consider “slope”
- e.g., slope at Θ = 0 is visually infinite, but dr/dΘ = 0 when Θ = 0
- Good for things like figuring out where radius is maximal or minimal
- But for geometrically intuitive slope you need Cartesiann view of curve and dy/dx
- Rates of change
- In Cartesian coordinates, straight tangent lines are good representatives of the “slope” of a curve at a point because they have a constant Δy/Δx
- What’s analogous curve for Δr/ΔΘ?
- Turns out to be a spiral
- Applications of integration to polar curves
- Read section 11.5 (if you haven’t already)