fixes through error (236)

_CalculusFix.answers

@@ -3,5 +3,5 @@
 \noindent {\Large \bf Chapter 1} \vskip \baselineskip 
 \noindent {\bf Section 1.1} \vskip \baselineskip 
 
-\printanswers {exercises/09_05_exercises}
+\printanswers {exercises/11_01_exercises}
 \end {multicols}\normalsize 

_CalculusFix.tex

@@ -64,8 +64,8 @@
 \printallanswers
 
 
-%\input{text/front_matter_and_coverI}
-
+%%\input{text/front_matter_and_coverI}
+%
 %\chapter{Limits}\label{chapter:limits}
 %\thispagestyle{empty}
 %%%%
@@ -82,7 +82,7 @@
 %\clearpage{\pagestyle{empty}\cleardoublepage}
 %\chapter{Derivatives}\label{chapter:derivatives}
 %\thispagestyle{empty}
-%
+%%
 %\input{text/02_Derivative}
 %\input{text/02_Derivative_Meaning}
 %\input{text/02_Derivative_Rules}
@@ -185,7 +185,7 @@
 %\clearpage{\pagestyle{empty}\cleardoublepage}
 %\chapter{Sequences and Series}\label{chapter:sequences_series}
 %\thispagestyle{empty}
-%%
+%%%
 %\input{text/08_Sequences}
 %\input{text/08_Series}
 %\input{text/08_Integral_Comparison_Tests}
@@ -203,14 +203,14 @@
 %%
 %%%
 %%%\addtocounter{chapter}{8}
-\clearpage{\pagestyle{empty}\cleardoublepage}
-\chapter{Curves in the Plane}
-\thispagestyle{empty}
+%\clearpage{\pagestyle{empty}\cleardoublepage}
+%\chapter{Curves in the Plane}
+%\thispagestyle{empty}
 %\input{text/09_Conic_Sections}
 %\input{text/09_Parametric_Equations}
 %\input{text/09_Parametric_Calculus}
 %\input{text/09_Polar_Intro}
-\input{text/09_Polar_Calculus}
+%\input{text/09_Polar_Calculus}
 %
 %
 %%
@@ -231,10 +231,10 @@ \chapter{Curves in the Plane}
 %%
 %%%
 %%%%%%\addtocounter{chapter}{10}
-%\clearpage{\pagestyle{empty}\cleardoublepage}
-%\chapter{Vector Valued Functions}\label{chap:vvf}
-%\thispagestyle{empty}
-%\input{text/11_Vector_Functions_Intro}
+\clearpage{\pagestyle{empty}\cleardoublepage}
+\chapter{Vector Valued Functions}\label{chap:vvf}
+\thispagestyle{empty}
+\input{text/11_Vector_Functions_Intro}
 %\input{text/11_Vector_Functions_Calc}
 %\input{text/11_Vector_Functions_Motion}
 %\input{text/11_Vector_Tangent_Normal}

_ErrorList.tex

@@ -813,50 +813,69 @@
 % intentionally heuristic and not precise. But I'll give on these.
 
 (206)  Subject: question on page 539 example 305     answer should be ``-2'' not ``-1''.
+% 1/22/18 already fixed (maybe above)
 
 (207)  Message: Chapter 8.5, Example 254, solution to part 1: "We want to find where 1/n^3 < 0.001: 1/n^3 <= 0.001" As you can see, the inequality changed from < to <= mid-sentence.
+% 1/22/18  changed the first '<' to '\leq'
 
 (208)  Subject: Theorem 64, page 422
 (209)  Message: In the theorem about the infinite nature of series, the first sentence "The convergence or divergence remains unchanged by..." implies but does not explicitly mention that the sentence is about series. I would recommend something like, "Whether a series is convergent or divergent remains unchanged by..."
+% 1/22/18  The first sentence is now 'The convergence or divergence of an infinite series remains'
 
 (210)  Message: On page 417, it says "Informally, a telescoping series is one in which the partial sums reduce to just a finite number of terms." This statement is essentially meaningless because every partial sum contains finitely many terms. I would recommend replacing "reduce to just a finite number of terms" by "can be reduced by cancellation to have fewer terms" or something similar.
+% 1/22/18 The first sentence is now 'Informally, a telescoping series is one in which most terms cancel with preceding or following terms, reducing the number of terms in each partial sum.'
+
 
 (211)  Definition 29 on page 404 should say "...bounded if there exist real numbers" not "...bounded if there exists real numbers".
+% 1/22/18  yes; 'exists' is replaced by 'exist'
 
 (212)  Also, in sections 8.2 - 8.5, there are plots of a sequence of terms a_n and a sequence of partial sums S_n on the same axes. The only thing distinguishing these two sequences is color, which means that in a grayscale print copy of the book it is not possible to distinguish the sequences from each other. I would recommend using different kinds of plot markers (filled dot and open dot, filled dot and x, or filled dot and filled triangle are commonly used) to distinguish between the two sequences. This will also help readers who are colorblind.
+%REVSIT  not opposed to this, but it will take concerted effort to look at 
+% all places where the word 'dots' is referred to.
 
 (213)   #33d on page 70. The answer in the back has [-5,5] where as it should be [-sqrt(5),sqrt(5)]. Just relaying the information.
+% 1/22/18  fixed
 
 (214)   Figure 8.2.a     Message: In the formula a_n = (3x^2-2x+1) / (x^2-1000) in this figure, the right side is not an expression in the variable n.
+% 1/22/18 Already fixed
 
 (215)  I just noticed, mid lecture, that Theorem 1.9  is not actually true unless one of two conditions are met.  For instance, it fails when g(x) is not continuous at L and f(x) = L is the constant function.        We can fix it by adding one of two constraints:
 (216)  1) $f(x) \neq L$ when x is near c, or 
 (217)  2) g(L)=K 
 (218)  See email for my response/ideas. May be solved with PCC group already
+% REVISIT
 
 (219)  Subject: error on page 620      I believe there is an error in the solution to example 355. The z-component of the normal vector should be positive 6, not negative six.
+% 1/22/18 already fixed, as is the line below it
 
 (220)  The answer for Section 1.4, 6f should say:
 (221)  As f is not defined for x > 2, this limit is not defined.
+% 1/22/18 already done
 
 (222)  Page 37 has a grammatical error.  The sentence should say:
 (223)  We have seen, though, that this is not necessarily a good indicator
 (224)  of what f(x) actually is.
+% 1/22/18 already fixed
 
 (225)  Error on page 200
 (226)  Message: The sentence 
 (227)  "Finally, we find the total signed area under the velocity function from t=0 to t=2 to find the s(2), the height at t=2, which is a displacement, the distance from the current position to the starting position"       is an awkward, unclear, run-on sentence. Something like        
 (228)  "Finally, to find the height of the object at time t=2 we calculate the total signed area under the velocity function from t=0 to t=2. This signed area is equal to s(2), the displacement (i.e., signed distance) from the starting position at t=0 to the position at time t=2."
 (229)  would be an improvement. Note that in the proposed revision, it is emphasized that displacement is a signed distance.
+% 1/18/22 Already fixed; my guess is this was done before mbx was started
 
 (230)  Message: Page 319
 (231)  Section 6.6 Hyperbolic Functions
 (232)  Key Idea 19
 (233)  Item #3     The factor in front of ln should be 1/(2a)
+% 1/22/18 done
+
+
 
 (234)  Subject: error on p. 624
 (235)  Message: I and my students are liking using APEX Calculus 3.0 for Multivariable Calculus at Alverno College.
 (236)  There appears to be an error in Figure 11.3 on p. 624. The figure claims to be showing the graph of a vector valued function defined in Example 357, and "its derivative at one point." In fact, the derivative has not yet been defined, and what is being shown is the vector at a point.
+% 1/18/22  already fixed
 
 (237)  One typo in Version 3 - page 416, Example 239, 5, the index of the series should probably start at 11 instead of 10.
 

exercises/02_01_ex_33.tex

@@ -17,6 +17,6 @@
 \item		$(-\infty,\infty)$
 \item		$(-\infty,-1)\cup (-1,1) \cup (1,\infty)$
 \item		$(-\infty,5]$
-\item		$[-5,5]$
+\item		$[-\sqrt{5},\sqrt{5}]$
 \end{enumerate}
 }

text/08_Alternating_Series.tex

@@ -85,7 +85,7 @@ \section{Alternating Series and Absolute Convergence}\label{sec:alt_series}
 \noindent$\ds 1.\ \sum_{n=1}^\infty (-1)^{n+1}\frac{1}{n^3}\qquad 2.\ \sum_{n=1}^\infty (-1)^{n+1}\frac{\ln n}{n}$.
 }
 {\begin{enumerate}
-	\item  Using Theorem \ref{thm:alt_series_approx}, we want to find $n$ where $1/n^3 < 0.001$:
+	\item  Using Theorem \ref{thm:alt_series_approx}, we want to find $n$ where $1/n^3 \leq 0.001$:
 	\begin{align*}
 	\frac1{n^3} &\leq 0.001=\frac{1}{1000} \\
 	n^3 &\geq 1000\\

text/08_Sequences.tex

@@ -271,7 +271,7 @@ \section{Sequences}\label{sec:sequences}
 There is more to learn about sequences than just their limits. We will also study their range and the relationships terms have with the terms that follow. We start with some definitions describing properties of the range.
 
 \definition{def:bounded}{Bounded and Unbounded Sequences}
-{A sequence $\{a_n\}$ is said to be \textbf{bounded} if there exists real numbers $m$ and $M$ such that $m < a_n < M$ for all $n$ in $\mathbb{N}$.\\
+{A sequence $\{a_n\}$ is said to be \textbf{bounded} if there exist real numbers $m$ and $M$ such that $m < a_n < M$ for all $n$ in $\mathbb{N}$.\\
 
 A sequence $\{a_n\}$ is said to be \textbf{unbounded} if it is not bounded.\\
 

text/08_Series.tex

@@ -226,7 +226,7 @@ \section{Infinite Series}\label{sec:series}
 \mfigure{.75}{Scatter plots relating to the series of Example \ref{ex_series3}.}{fig:series3}{figures/figseries3}
 }\\
 
-The series in Example \ref{ex_series3} is an example of a \sword{telescoping series}. Informally, a telescoping series is one in which the partial sums reduce to just a finite number of terms. The partial sum $S_n$ did not contain $n$ terms, but rather just two: 1 and $1/(n+1)$.\index{series!telescoping}\index{telescoping series}
+The series in Example \ref{ex_series3} is an example of a \sword{telescoping series}. Informally, a telescoping series is one in which most terms cancel with preceding or following terms, reducing the number of terms in each partial sum. The partial sum $S_n$ did not contain $n$ terms, but rather just two: 1 and $1/(n+1)$.\index{series!telescoping}\index{telescoping series}
 
 When possible, seek a way to write an explicit formula for the $n^\text{th}$ partial sum $S_n$. This makes evaluating the limit $\ds\lim_{n\to\infty} S_n$ much more approachable. We do so in the next example.\\
 
@@ -392,7 +392,7 @@ \section{Infinite Series}\label{sec:series}
 \textbf{Important!} This theorem \emph{does not state} that if $\ds \lim_{n\to\infty} a_n = 0$ then $\ds \sum_{n=1}^\infty  a_n $ converges. The standard example of this is the Harmonic Series, as given in Key Idea \ref{idea:famous_series}. The Harmonic Sequence, $\{1/n\}$, converges to 0; the Harmonic Series, $\ds \sum_{n=1}^\infty 1/n$, diverges.
 
 \theorem{thm:series_behavior}{Infinite Nature of Series}
-{The convergence or divergence remains unchanged by the addition or subtraction of any finite number of terms. That is:
+{The convergence or divergence of an infinite series remains unchanged by the addition or subtraction of any finite number of terms. That is:
 	\begin{enumerate}
 	\item		A divergent series will remain divergent with the addition or subtraction of any finite number of terms.
 	\item		A convergent series will remain convergent with the addition or subtraction of any finite number of terms. (Of course, the \emph{sum} will likely change.)