223 Textbook Errors
Please email me any corrections to the textbook - typos, grammar, or
mathematical errors. I will give credit for the first one I receive
and post them here.
Discovered by students thus far this semester:
In "Active Calculus: - Multi variable: our goals", in the last
bullet it says " To strengthen students’ written and oral
communicating skills by having them write about and explain aloud the key
ideas of multivariable calculus" and it should say "communication" instead
of "communicating".
in the first paragraph of chapter 9.1 after the motivating questions.
Discuss is spelled "dicusss".
the first paragraph of section 9.2, the word variables is spelled
'veriables'.
in the first paragraph of 9.2. Calculate is spelled “calculuate.”
Section 9.6, the last activity, says "How do your responses change to all
three of the preceding question if-" but "question" should be plural.
On page 140, it reads: "It would take us too far afield to provide a
rigorous dicussion of differentiability of functions of more than one
variable (see Exercise 10.4.15) for a little more detail), so..." but that
first closing parenthesis shouldn't be there.
Activity a. on page 178 misspells "maximum" as "maximimum". Also on
page 180, there's a space in the middle of "points" so it says
"these critical point s and at the endpoints...". Page 182: "To find
the hottest and coldest point on the boundary," "points" needs to be plural
for logical reasons (one point can't be both the hottest and the coldest),
and it's already plural everywhere else in the section. Page 183:
"Find the absolute maximum and absolute minimum value of f on R." "values"
needs to be plural for logical reason.
Page 187, exercise 19, the order of the quotes is wrong: “‘The Only Critical
Point in Town” Test’ should be either single-double-double-single, or
double-single-single-double.
On page 280, the description following Definition 12.2 should say "...C is a
piecewise smooth curve traced out from..." Right now, it reads "...C is a
piecewise smooth curved traced out from..."
In section 12.4, page 294, last paragraph it says "pair of paths from oine
point to the other" it should say "one".
Section 12.4 on page 300 in the summary. The second bullet point says, "and
only if the ciruclation around." It is supposed to be circulation.
In section 12.4 Activities 12.10 and 12.11 are duplicates.
These are those from last time. You might check to see if they have
been fixed yet.
in section 9.1 on page 6 immediately after activity 9.3 there is an error in
the textbook. the textbook says "The xy-plane satisfies z = 0, the
xz-plane satisfies y = 0, and the yz-plane satisfies z = 0" but it should
say "The xy-plane satisfies z = 0, the xz-plane satisfies y = 0, and the
yz-plane satisfies [x] = 0"
on page 55 section 9.5 down at the bottom of the page, "That is, we may
write the equation of a plane as ax + by + cz = d where where d = n · hx0,
y0, z0i." They say where twice in a row.
On page 70, section 9.7 at the very top, they describe the product rule for
scalar functions as (d/dx)[f(x)*g(x)]=f(x)*g'(x)+g'(x)*f'(x) which is
incorrect because as you know, the song is wrong. It should
write (d/dx)[f(x)*g(x)]=f(x)*g'(x)+f'(x)*g(x).
On page 160 in section 10.7, the fourth bullet of definition 10.5 defines an
absolute minimum point then claims "the value of f at an absolute minimum
point is the maximum value of f." This is false because the value of f at an
absolute minimum point is the minimum value of f, while the maximum value of
f is the value of f at an absolute maximum point.
on page 163, and it is right at the top of the page and it says, "...whether
a critical point is a local maximum, local maximum, or neither." the
correction is "...whether a critical point is a local maximum, local
minimum, or neither."
In section 10.7 on page 172, part (d) of question #6 reads "Find the maximum
value of V on the boundary of the region R, and the determine the dimensions
of a bag with maximum volume on the entire region R." So "and the
determine the dimensions" should read "and then determine the dimensions"
replacing the first "the" with "then".
On page 246, The second second of the Introduction paragraph reads " In a
similar way, there there turn out to be two additional natural coordinate
systems" They wrote the word "there" twice.
In section 12.2, page 278, in the introduction, it says "However, things
more complicated when an object’s movement is not in a straight line..." I
believe it should say "However, things are more complicated..."
In the summary of 12.2 on page 284 "A line integral measures of a vector
field along an oriented curve measures the extent to which the vector field
points in a direction consistent with the orientation of the curve." has
many extra words and would better be "A line integral measures the extent to
which the vector field points in a direction consistent with the orientation
of the curve."