Math 340 Homework
Page numbers for problems refer to the starting page for the set of problems. A problem might be on a page later
than the page number given.
Homework #1: (Due Thursday, September 15)
To hand in:
- Colley: section 1.1: 21; section 1.2: 12, 36; section 1.3: 25
- Cullen: page 19: 15, 16; page 26: 10
For the quiz:
- Colley: section 1.1: 17, 23, 24, 25; section 1.2: 11, 21, 29, 32;
section 1.3: 16, 21, 23
- Cullen: page 19: 3, 8, 10, 11, 12, 14; page 26: 2, 4;
page 30: 2, 4, 5, 7, 8
Homework #2: (Due Thursday, September 22)
To hand in:
Colley (3rd edition): section 1.4: 13, 24; section 1.5: 30; section 1.6: 7, 9; section 2.2: 49
For the quiz:
Colley (3rd edition): section 1.4: 9, 10, 12, 25; section 1.5: 5, 7, 11, 12, 13;
section 1.6: 21, 22; section 2.1: 9, 15, 19, 36, 37; section 2.2: 1, 3, 5, 9, 10, 11, 12, 13
2nd edition numbers:
To hand in:
section 1.4: 13, the other problem is as follows: Suppose a, b, c are noncoplanar vectors in R^3,
so that they determine a tetrahedron. Give a formula for the surface area of the tetrahedron
in terms of a, b, c. (Note: more than one formula is possible.)
section 1.5: 30; section 1.6: 7, the other problem is as follows: Show, for all vectors a, b, c
in R^n, that |a-b| <= |a-c| + |c-b|.
section 2.2: 43
For the quiz:
section 1.4: 9, 10, 12, 21; section 1.5: 5, 7, 11, 12, 13;
section 1.6: 15, 16; section 2.1: 9, 15, 19, 36, 37; section 2.2: 1, 3, 5, 9, 10, 11, 12, 13
Homework #3: (Due Thursday, September 29)
To hand in:
Colley (3rd edition): section 2.3: 34; section 2.4: 20, 21 (don't graph), 23, 24(b)
For the quiz:
Colley (3rd edition): section 2.3: 1, 3, 5, 7, 15, 21, 23, 31; section 2.4: 5, 9, 11
2nd edition numbers:
To hand in:
section 2.3: The problem is: Suppose that you have the following information concerning a differentiable
function f:
f(2,3)=12, f(1.98,3)=12.1, f(2, 3.01)=12.2.
(a) Give an approximate equation for the plane tangent to the graph of f at (2,3,12).
(b) Use the result of part (a) to estimate f(1.98, 2.98).
section 2.4: 20, 21 (don't graph), 23, 24(b)
For the quiz:
section 2.3: 1, 3, 5, 7, 15, 21, 23, 31; section 2.4: 5, 9, 11
Midterm: Tuesday, October 11
Problems from 2.5 and 2.6 (don't hand in; use as review for exam)
Section 2.5: 2, 4, 6, 9, 11, 15, 19, 21
Section 2.6: 1, 3, 5, 11, 12, 17, 19
Second edition numbers:
Section 2.5: 2, 4, 6, 7, 9, 13, 17, 19
Section 2.6: 1, 3, 5, 11, 12, 17, 19
Homework #4: (Due Tuesday, October 25)
To hand in:
Colley (3rd edition): section 3.1: 32; section 3.2: 12; section 3.4: 18, 25, 29; section 4.1: 28, 29
For the quiz:
Colley (3rd edition): section 3.1: 9, 10, 16, 17, 25
section 3.2: 3, 5, 23, 27
section 3.3: 17, 19, 21, 23
section 3.4: 3, 5, 7, 9
section 4.1: 1, 3, 8, 9, 11, 17, 27
2nd edition numbers:
All numbers are the same as above, except for section 3.1: 25, 32.
These two problems don't exist in the second edition.
I'll give copies of these to anyone who needs them.
Homework #5: (Due Thursday, November 3)
To hand in:
Colley (2nd/3rd edition): Section 4.2: 23, 32; Section 4.3: 1, 22; Section 4.4: 3, 9
For the quiz:
Colley (2nd/3rd edition): Section 4.2: 3, 5, 11, 14, 17
Section 4.3: 3, 5, 7, 17, 18, 20
Homework #6: (Due Thursday, November 10)
To hand in:
Colley 3rd edition): Section 5.3: 15, 18; Section 5.4: 19; Section 5.5: 8
For the quiz:
Colley (3rd edition): Section 5.3: 3, 4, 5, 6, 7, 9, 11
Section 5.4: 11, 13, 15, 17; Section 5.5: 1, 3
2nd edition numbers:
To hand in:
Section 5.3: 11, 14; Section 5.4: 19; Section 5.5: 8
For the quiz:
Section 5.3: 3, 4, 5, 6, 7, 9,
(11 in 3rd edition: reverse order and evaluate the
integral y=-1 to y=4, x=y-4 to x=4y-y^2, integrand = (y+1). Answer=625/12.)
Section 5.4: 11, 13, 15, 17; Section 5.5: 1, 3
Midterm: Thursday, November 17
Sections: 3.1, 3.2, 3.3, 3.4, 4.1, 4,2, 4,3, 5,3, 5,4, 5,5
Problems from 5.5 and 5.8 (don't hand in; use as review for exam)
Section 5.5 (2nd and 3rd editions): 9, 11, 13, 15, 17, 23
Section 5.8 (3rd edition): 15, 16, 17
Section 5.8 (2nd edition): 13, I'll copy the other two
Homework #7: (Due Tuesday, December 6)
To hand in:
Colley 3rd edition (2nd edition numbers, when different, are in parentheses):
Section 6.1: 23 (=will copy for 2nd edition people), 29(=will copy for 2nd edition people)
Section 6.2: 12(=10), 25(=21); Section 7.2: 4
For the quiz:
Colley 3rd edition (2nd edition numbers, when different, are in parentheses):
Section 6.1: 7, 9, 11, 21(=19)
Section 6.2: 1, 3, 5, 7
Section 6.3: 3, 5, 11(=9), 17(=13)
Section 7.1: 1, 23(=21)
Section 7.2: 1, 3, 7
Problems from 7.3 and Cullen (don't hand in; use as review for exam)
Section 7.3: 1, 3, 5, 7, 9, 11, 13, 16
Cullen: 1.8: 2, 3abc; 1.9: 1, 5, 9
Final Exam: Tuesday, December 20, 4-6pm