14.1: domains and ranges.
level curves.
14.2: Limits.
14.4: tangent planes (now part of 14.6).
linear approximations S07 #1e, 1f, F08 #1e,1f, S08 #2a
14.5 Chain rule (the "tree" technique). 3 types of problems:
Algebraic exmaples F08 #3a, S08 #8b
Numerical examples
Combination of numerical and algebraic examples: F06 #1a, S07 #2a,
F08 #3a, F07 #4
Implicit differentiation: S08 #1b
14.6: directional derivatives F06 #1b, S07 #1g, F08#1c,
F08 #2a, S08 #3a,b,c (hard).
Gradient vector as steepest ascent F08 #2b, #2c, F07 #2a,b
Tangent planes and normal lines (easier) F08 #4a, #4b, S08 #1c,
F07 #5a
Tangent planes and normal lines (harder word problems) S07 #2b, F07 #5b
14.7: Absolute max/min F08 #6
Classify critical points (2nd deriv test) S07 #3, F06 #3,
F08 #5, S08 #4, F07 #1
14.8: Lagrange multiplier F06 #4, S07 #4, S08 #5