14.1: domains and ranges, #11, 13.
level curves #37.
14.2: Limits #7,9,11.
14.4: tangent planess #3,5
linear approximations #17, 19 and S07 #1e, 1f
14.5 Chain rule (the "tree" technique). 3 types of problems:
Algebraic exmaples #11, 21, 23
Numerical examples #13
Combination of numerical and algebraic examples: F06 #1a, S07 #2a
14.6: directional derivatives #7, 9, 11, 13, and F06 #1b, S07 #1g.
Gradient vector as steepest ascent #21, 23
Tangent planes and normal lines (easier) #39, 41
Tangent planes and normal lines (harder word problems) #53, 59 and S07 #2b
(second form of answer)
14.7: Absolute max/min #27, 29, 31
Classify critical points (2nd deriv test) #5, 7, 9, 11 and
S07 #3, F06 #3
14.8: easy Lagrange multiplier #3, 7, 11, and F06 #4, S07 #4
harder (word problem) Lagrange multiplies method #23, 25, 31
15.1: Riemann sums #1, 5
15.2 Iterated integrals #5 (function splits), 11, 21, and F06#5, S07#5
Iterated integral as volume #23, 27
Averages #33