Solutions for selected problems in Chapter 0
Please note that there are many solutions for various of the problems. Most of the
time you can check by plugging in the given vectors in your answer.
Problem 1.1
a)
1
0
1
x(s, t) = 1 + s 1 + t 2 .
3
0
2
b)
3
2
Solutions of selected problems of chapter 1
Problem 1.2
It is clear the function f (x, y ) is continuous at all (x, y ) = (0, 0). Thus it remains
to show that it is continuous at (x, y ) = (0, 0). For any > 0 we have to nd so that
|f (x, y )| < whenever |
Quiz 1 Solution, Math 2605-CS M1-M2, Fall 2012
Name:
This quiz is to be taken without calculators and notes of any sorts. The allowed time 20
is
minutes. Provide exact answers; not decimal approximations! For example, if you mean 2 do
not write 1.414.
0
1
Quiz 2, Math 2605-CS M1-M2, Fall 2012
Name:
This quiz is to be taken without calculators and notes of any sorts. The allowed time 20
is
minutes. Provide exact answers; not decimal approximations! For example, if you mean 2 do
not write 1.414.
Consider the
Preparation Quiz 2, Math 2605-CS M1-M2, Fall 2012
Name:
This quiz is to be taken without calculators and notes of any sorts. The allowed time 20
is
minutes. Provide exact answers; not decimal approximations! For example, if you mean 2 do
not write 1.414.
Quiz 3, Math 2605-CS M1-M2, Fall 2012
Name:
This quiz is to be taken without calculators and notes of any sorts. The allowed time 20
is
minutes. Provide exact answers; not decimal approximations! For example, if you mean 2 do
not write 1.414.
1.
(4 points
Preparation Quiz 3, Math 2605-CS M1-M2, Fall 2012
Name:
This quiz is to be taken without calculators and notes of any sorts. The allowed time 20
is
minutes. Provide exact answers; not decimal approximations! For example, if you mean 2 do
not write 1.414.
Quiz 4, Math 2605-CS M1-M2, Fall 2012
Name:
Instructions: This Quiz is to be taken without calculators and notes of any sorts. The allowed time is minutes. Provide exact answers; not decimal approximations! For example,
20
if you mean 2 do not write 1.414
Quiz 4, Math 2605-CS M1-M2, Fall 2012
Name:
Instructions: This Quiz is to be taken without calculators and notes of any sorts. The allowed time is minutes. Provide exact answers; not decimal approximations! For example,
25
if you mean 2 do not write 1.414
Midterm 1, Math 2605-CS M1-M2, Fall 2012
Name:
Instructions: This test is to be taken without calculators and notes of any sorts. The allowed time is minutes. Provide exact answers; not decimal approximations! For example,
20
if you mean 2 do not write 1.
Preparation Midterm 2, Math 2605-CS M1-M2, Fall 2012
Name:
Instructions: This test is to be taken without calculators and notes of any sorts. The allowed time is minutes. Provide exact answers; not decimal approximations! For example,
20
if you mean 2 do
Midterm 2, Math 2605-CS M1-M2, Fall 2012
Name:
Instructions: This test is to be taken without calculators and notes of any sorts. The allowed time is minutes. Provide exact answers; not decimal approximations! For example,
20
if you mean 2 do not write 1.