Monday March 27
Solve:
Sec. 18.5: 1, 5, 11a, 13d, 15
Solve, write up and turn in:
Sec. 18.5: 2, 4, 9, 12a

Tuesday March 28
Solve:
Sec. 18.6: 1, 5, 15
Solve, write up and turn in:
Sec. 18.6: 4, 8, 10, 14, 24

There may be a quiz tomorrow; the problems will be much
like the homework problems listed for Tuesday.

Wednesday March 29
Solve:
Sec. 18.6: 3, 13, 19,
Solve, write up and turn in:
Sec. 18.6: 6, 12,  16, 18,  20

Thursday March 30
Solve:
Sec. 18.7: 1a,b,  5, 7, 13
Solve, write up and turn in:
Sec. 18.7: 2a,b, 4a,d, 6, 8, 10, 12, 15, 16

In case of a quiz tomorrow,  the problem(s) will
resemble the ones listed for Thursday.

Friday March 31
Topics studied today: spherical coordinates, and from 19.1: functions
of several variables, limits, continuity, graphs, vector spaces in 4 or more dimensions.
Level lines (and parts of 19.2) will be covered on Monday.

Solve, write up and turn in:
Sec. 18.7: 3a,b, d,   and also the following problems:

1. An example of a 'quadric surface' when there is only one square in the equation:
sketch and name the surface z=x+y^2.

2. Consider the function   f(x,y)= (x+y)/(x-y).
Does this function have a limit as (x,y) goes to (0,0)? Justify your answer!

3. Show that the function f(x,y)=(x^2-y^2)^2/ (x^2+y^2)
does have a limit as
(x,y) goes to (0,0).
Hint:  guess what the value of the limit should be, then use the inequality
|x^2-y^2|<x^2+y^2    (justify why this is true)
and the sqeeze theorem.