- Hour exam 2
- Next Thursday (Mar. 31)
- Material since 1st exam (e.g., multivariable functions, limits, partial derivatives, gradients, directional derivatives, tangents, extreme values, optimization, etc.)
- Rules and format similar to first exam, especially open-references
- REU Talk
- REU = Research Experiences for Undergraduates = summer research “internship”
- Wednesday, March 30, 3:30 PM
- South 328
- Walter Gerych re obstructed “mean curvature flow” and cellular automata
- Up to 2 points homework extra credit for write-ups
- Example: absolute extrema
- z = x3/3 - x2 + y2 + 2y
- Region -3 ≤ x ≤ 3, -2 ≤ y ≤ 2
- Interior critical points at (0,-1) and (2,-1) from last time
- muPad plot can visually show that these extrema make sense
- Optimization with constraints - Lagrange multipliers
- Example: find values of x and y that maximize xy subject to constraint that
2x2 + y2 = 4
- Read section 14.8 for Tuesday