- 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
- Section 11.3
- Conversion between Cartesian and polar
- r = √(x2+y2)
- Θ = tan-1 (y/x)
- x = r cosΘ
- y = r sinΘ
- Conversion between Cartesian and polar
- Examples
- Plot r = cosΘ
- Differences from x y (Cartesian) coordinates?
- Plot can generally be done with calculator or software plotting in polar mode
- If not, use polar-to-Cartesian conversion to plot in Cartesian form
- Differences from x y (Cartesian) coordinates?
- What polar equation produces a general line (y = mx + b in Cartesian form)?
- r sinΘ = m r cosΘ + b
- r sinΘ - m r cosΘ = b
- r (sinΘ - m cosΘ) = b
- r = b / (sinΘ - m cosΘ)
- Plot r = cosΘ
- Problem set
- Calculus in polar coordinates
- Read section 11.5