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.