almost ready

Author: teepeemm

.gitignore

@@ -1,5 +1,8 @@
 # new additions
+figures/*.png
 logs/*
+prc/*
+standaloneweb/*
 web/*.html
 web/*.png
 options.tex

Calculus.tex

@@ -22,7 +22,7 @@
 
 \include{CalculusI}
 
-\include{CalculusII}	
+\include{CalculusII}
 
 \include{CalculusIII}
 

Calculus.xdv

@@ -74,12 +74,12 @@ \part{Calculus I}
 
 We begin this chapter with a reminder of a few key concepts from \autoref{chapter:integration}. Let $f$ be a continuous function on $[a,b]$ which is partitioned into $n$ equally spaced subintervals as 
 \[a=x_0 < x_1 < \cdots < x_{n-1}<x_n=b.\]
-Let $\dx=(b-a)/n$ denote the length of the  subintervals, and let $c_i$ be any $x$-value in the $i^\text{ th}$ subinterval. \autoref{def:rie_sum} states that the sum
-\[\sum_{i=1}^n f(c_i)\dx\]
+Let $\Delta x=(b-a)/n$ denote the length of the  subintervals, and let $c_i$ be any $x$-value in the $i^\text{ th}$ subinterval. \autoref{def:rie_sum} states that the sum
+\[\sum_{i=1}^n f(c_i)\Delta x\]
 is a \textit{Riemann Sum.} Riemann Sums are often used to approximate some quantity (area, volume, work, pressure, etc.). The \textit{approximation} becomes \textit{exact} by taking the limit 
-\[\lim_{n\to\infty} \sum_{i=1}^n f(c_i)\dx.\]
+\[\lim_{n\to\infty} \sum_{i=1}^n f(c_i)\Delta x.\]
 \autoref{thm:riemannSum} connects limits of Riemann Sums to definite integrals:
-\[\lim_{n\to\infty} \sum_{i=1}^n f(c_i)\dx = \int_a^b f(x)\ dx.\]
+\[\lim_{n\to\infty} \sum_{i=1}^n f(c_i)\Delta x = \int_a^b f(x)\ dx.\]
 Finally, the Fundamental Theorem of Calculus states how definite integrals can be evaluated using antiderivatives. 
 
 This chapter employs the following technique to a variety of applications. Suppose the value $Q$ of a quantity is to be calculated. We first approximate the value of $Q$ using a Riemann Sum, then find the exact value via a definite integral. We spell out this technique in the following Key Idea.
@@ -88,9 +88,9 @@ \part{Calculus I}
 {Let a quantity be given whose value $Q$ is to be computed.\index{integration!general application technique}
 \begin{enumerate}
 \item	Divide the quantity into $n$ smaller ``subquantities'' of value $Q_i$.
-\item	Identify a variable $x$ and function $f(x)$ such that each subquantity can be approximated with the product $f(c_i)\dx$, where $\dx$ represents a small change in $x$. Thus $Q_i \approx f(c_i)\dx$.
-%% A sample approximation $f(c_i)\dx$ of $Q_i$ is called a \textit{differential element}.
-\item	Recognize that $\ds Q\approx \sum_{i=1}^n Q_i = \sum_{i=1}^n f(c_i)\dx$, which is a Riemann Sum.
+\item	Identify a variable $x$ and function $f(x)$ such that each subquantity can be approximated with the product $f(c_i)\Delta x$, where $\Delta x$ represents a small change in $x$. Thus $Q_i \approx f(c_i)\Delta x$.
+%% A sample approximation $f(c_i)\Delta x$ of $Q_i$ is called a \textit{differential element}.
+\item	Recognize that $\ds Q\approx \sum_{i=1}^n Q_i = \sum_{i=1}^n f(c_i)\Delta x$, which is a Riemann Sum.
 \item	Taking the appropriate limit gives $\ds Q = \int_a^b f(x)\ dx$
 \end{enumerate}}
 

CalculusI-UND.tex

@@ -74,12 +74,12 @@ \part{Calculus I}
 
 We begin this chapter with a reminder of a few key concepts from \autoref{chapter:integration}. Let $f$ be a continuous function on $[a,b]$ which is partitioned into $n$ equally spaced subintervals as 
 \[a=x_0 < x_1 < \cdots < x_{n-1}<x_n=b.\]
-Let $\dx=(b-a)/n$ denote the length of the  subintervals, and let $c_i$ be any $x$-value in the $i^\text{ th}$ subinterval. \autoref{def:rie_sum} states that the sum
-\[\sum_{i=1}^n f(c_i)\dx\]
+Let $\Delta x=(b-a)/n$ denote the length of the  subintervals, and let $c_i$ be any $x$-value in the $i^\text{ th}$ subinterval. \autoref{def:rie_sum} states that the sum
+\[\sum_{i=1}^n f(c_i)\Delta x\]
 is a \textit{Riemann Sum.} Riemann Sums are often used to approximate some quantity (area, volume, work, pressure, etc.). The \textit{approximation} becomes \textit{exact} by taking the limit 
-\[\lim_{n\to\infty} \sum_{i=1}^n f(c_i)\dx.\]
+\[\lim_{n\to\infty} \sum_{i=1}^n f(c_i)\Delta x.\]
 \autoref{thm:riemannSum} connects limits of Riemann Sums to definite integrals:
-\[\lim_{n\to\infty} \sum_{i=1}^n f(c_i)\dx = \int_a^b f(x)\ dx.\]
+\[\lim_{n\to\infty} \sum_{i=1}^n f(c_i)\Delta x = \int_a^b f(x)\ dx.\]
 Finally, the Fundamental Theorem of Calculus states how definite integrals can be evaluated using antiderivatives. 
 
 This chapter employs the following technique to a variety of applications. Suppose the value $Q$ of a quantity is to be calculated. We first approximate the value of $Q$ using a Riemann Sum, then find the exact value via a definite integral. We spell out this technique in the following Key Idea.
@@ -88,9 +88,9 @@ \part{Calculus I}
 {Let a quantity be given whose value $Q$ is to be computed.\index{integration!general application technique}
 \begin{enumerate}
 \item	Divide the quantity into $n$ smaller ``subquantities'' of value $Q_i$.
-\item	Identify a variable $x$ and function $f(x)$ such that each subquantity can be approximated with the product $f(c_i)\dx$, where $\dx$ represents a small change in $x$. Thus $Q_i \approx f(c_i)\dx$.
-%% A sample approximation $f(c_i)\dx$ of $Q_i$ is called a \textit{differential element}.
-\item	Recognize that $\ds Q\approx \sum_{i=1}^n Q_i = \sum_{i=1}^n f(c_i)\dx$, which is a Riemann Sum.
+\item	Identify a variable $x$ and function $f(x)$ such that each subquantity can be approximated with the product $f(c_i)\Delta x$, where $\Delta x$ represents a small change in $x$. Thus $Q_i \approx f(c_i)\Delta x$.
+%% A sample approximation $f(c_i)\Delta x$ of $Q_i$ is called a \textit{differential element}.
+\item	Recognize that $\ds Q\approx \sum_{i=1}^n Q_i = \sum_{i=1}^n f(c_i)\Delta x$, which is a Riemann Sum.
 \item	Taking the appropriate limit gives $\ds Q = \int_a^b f(x)\ dx$
 \end{enumerate}}
 

CalculusI.tex

@@ -4,12 +4,12 @@ \part{Calculus II}
 
 We begin this chapter with a reminder of a few key concepts from \autoref{chapter:integration}. Let $f$ be a continuous function on $[a,b]$ which is partitioned into $n$ equally spaced subintervals as 
 \[a=x_0 < x_1 < \cdots < x_{n-1}<x_n=b.\]
-Let $\dx=(b-a)/n$ denote the length of the  subintervals, and let $c_i$ be any $x$-value in the $i^\text{ th}$ subinterval. \autoref{def:rie_sum} states that the sum
-\[\sum_{i=1}^n f(c_i)\dx\]
+Let $\Delta x=(b-a)/n$ denote the length of the  subintervals, and let $c_i$ be any $x$-value in the $i^\text{ th}$ subinterval. \autoref{def:rie_sum} states that the sum
+\[\sum_{i=1}^n f(c_i)\Delta x\]
 is a \textit{Riemann Sum.} Riemann Sums are often used to approximate some quantity (area, volume, work, pressure, etc.). The \textit{approximation} becomes \textit{exact} by taking the limit 
-\[\lim_{n\to\infty} \sum_{i=1}^n f(c_i)\dx.\]
+\[\lim_{n\to\infty} \sum_{i=1}^n f(c_i)\Delta x.\]
 \autoref{thm:riemannSum} connects limits of Riemann Sums to definite integrals:
-\[\lim_{n\to\infty} \sum_{i=1}^n f(c_i)\dx = \int_a^b f(x)\ dx.\]
+\[\lim_{n\to\infty} \sum_{i=1}^n f(c_i)\Delta x = \int_a^b f(x)\ dx.\]
 Finally, the Fundamental Theorem of Calculus states how definite integrals can be evaluated using antiderivatives. 
 
 This chapter employs the following technique to a variety of applications. Suppose the value $Q$ of a quantity is to be calculated. We first approximate the value of $Q$ using a Riemann Sum, then find the exact value via a definite integral. We spell out this technique in the following Key Idea.
@@ -18,9 +18,9 @@ \part{Calculus II}
 {Let a quantity be given whose value $Q$ is to be computed.\index{integration!general application technique}
 \begin{enumerate}
 \item	Divide the quantity into $n$ smaller ``subquantities'' of value $Q_i$.
-\item	Identify a variable $x$ and function $f(x)$ such that each subquantity can be approximated with the product $f(c_i)\dx$, where $\dx$ represents a small change in $x$. Thus $Q_i \approx f(c_i)\dx$.
-%% A sample approximation $f(c_i)\dx$ of $Q_i$ is called a \textit{differential element}.
-\item	Recognize that $\ds Q\approx \sum_{i=1}^n Q_i = \sum_{i=1}^n f(c_i)\dx$, which is a Riemann Sum.
+\item	Identify a variable $x$ and function $f(x)$ such that each subquantity can be approximated with the product $f(c_i)\Delta x$, where $\Delta x$ represents a small change in $x$. Thus $Q_i \approx f(c_i)\Delta x$.
+%% A sample approximation $f(c_i)\Delta x$ of $Q_i$ is called a \textit{differential element}.
+\item	Recognize that $\ds Q\approx \sum_{i=1}^n Q_i = \sum_{i=1}^n f(c_i)\Delta x$, which is a Riemann Sum.
 \item	Taking the appropriate limit gives $\ds Q = \int_a^b f(x)\ dx$
 \end{enumerate}}
 

CalculusII-BSC.tex

@@ -29,9 +29,9 @@ \part{Calculus III}
 
 \apexchapter{Functions of Several Variables}{chap:multi}
 
-A function of the form $y=f(x)$ is a function of a single variable; given a value of $x$, we can find a value $y$. Even the vector--valued functions of \autoref{chap:vvf} are single--variable functions; the input is a single variable though the output is a vector.
+A function of the form $y=f(x)$ is a function of a single variable; given a value of $x$, we can find a value $y$. Even the vector-valued functions of \autoref{chap:vvf} are single-variable functions; the input is a single variable though the output is a vector.
 
-There are many situations where a desired quantity is a function of two or more variables. For instance, wind chill is measured by knowing the temperature and wind speed; the volume of a gas can be computed knowing the pressure and temperature of the gas; to compute a baseball player's batting average, one needs to know the number of hits and the number of at--bats. 
+There are many situations where a desired quantity is a function of two or more variables. For instance, wind chill is measured by knowing the temperature and wind speed; the volume of a gas can be computed knowing the pressure and temperature of the gas; to compute a baseball player's batting average, one needs to know the number of hits and the number of at-bats. 
 
 This chapter studies \textbf{multivariable} functions, that is, functions with more than one input.
 

CalculusIII.tex

@@ -13,8 +13,6 @@ Compiling with a single set of options will take three to five minutes.
 Running `./make.py -a` will create seven different pdfs after about twenty minutes.  Running `./make.py -n` will use latexml to make a complete website version of the book after about three hours.
 (Unfortunately, latexmk appears to be a little too agressive in ignoring compilation errors.  I recommend compiling using your regular method first, and once you know it compiles, then use latexmk.)
 
-The directory `figures/matrices` exists because of the bug mentioned at https://github.com/brucemiller/LaTeXML/issues/794.  In the meantime, regular LaTeX versions include the tikz code, while LaTeXML versions include the pdf graphics of the output.
-
 This work is covered with a Creative Commons 4.0 By-NC copyright.
 
 #### Supporting programs

README.md

@@ -57,15 +57,18 @@ Should the notebook be distributed with the text?  Eventually.  CC-BY-NC, same a
 
 
 My to do:
-  change - - to -
+  check units in center of mass calculations
   \exerciseset -> \begin{exerciseset}
-  \example -> \begin{example} ?
+  \example -> \begin{example}, also theorems, definitions, and key ideas?
   \ d, \,d, d become \dd
-  complete rearrangement of text/ ?
+  rearrange text/ to have chapter subfolders
   kill [over|under]full hboxes
-  spellcheck - aspell
+  spellcheck:
+	cat text/*tex | aspell list -t --ignore=3 --ignore-case --add-texinfo-ignore=youtubeVideo | sort | uniq > misspell.txt
+
   ifthen -> etoolbox ?
   use subfig
+  flexible vertical page length??
 
   | to norm/abs
   Watch out for extra !
@@ -80,7 +83,8 @@ exercise sets with an odd number of problems:
 01_04_exset_03
 02_06_exset_02
 04_04_exset_03
-05_01_exset_01, 05_01_exset_02
+05_01_exset_01
+05_01_exset_02
 06_02_exset_03
 06_03_exset_02
 07_04_exset_04
@@ -111,16 +115,39 @@ p545 9.4#50 solution: $P(-1/2,\pi/3)$ should be $P(-1/2,2\pi/3)$
 pA.34 14.3#17c solution: -1t should be t-1
 p869 14.3#20d solution: 250 should be 0
 
-Multiple places: The units Newtons and Joules should be capitalized
+Grammar.  The good news is I figured out how to spell check in my editor (and from the command line:
+cat text/*tex | aspell list -t --ignore=3 --ignore-case | sort | uniq > misspell.txt
+The bad news is I figured out how to spell check.
 
-Grammar:
+Multiple places: The units Newtons and Joules should be capitalized
 
 p292 6.2#4: original is misspelled.
+p423 8.2 just before Thm 8.2.2: $p$ is not in math mode
 p496 8.8#12 solution: an open quote is never closed
 p557 9.5#34 solution: Pythagorean is misspelled
+p583 Example 10.2.6 solution para -2 line -3: unknown is misspelled
+p607 Example 10.4.6 statement line 1: parallelepiped is missing its second “le”
+p698 12.2 line -1: Multivariable is misspelled
+p723 12.5 Examples 2, 4, 5 title: Multivariable is misspelled
+p788 Definition 13.4.1: Variable is misspelled
 p793 Def&Thm 13.4.2: (x_2,y_2) should have a comma after it
 p829 13.7 Figure 13.7.2 caption: canonical is misspelled
-p862 Example 14.3.2 solution line 1: parameterizing and parameterization are misspelled
+p841 14.1 para before Definition 14.1.1 line 3: definition is misspelled
+p851 14.2 para 3 line -2: circle is misspelled
 p865 para 2 line -3: continuously is misspelled
-p875 Example 14.4.2 solution para 2 line 1: parameterizations is misspelled
 p884 Example 14.5.5 title: cylindrical is misspelled
+p895 Example 14.6.3 statement line -2: positive is misspelled
+
+You tend to omit the second e in parameterize (and its derivatives).  You can try searching for “arametriz”:
+Section 9.2
+Section 9.3
+Section 10.5 x2
+Section 11.1
+Section 11.5 x5
+Section 12.7
+Section 14.1 x13 (plus two more commented out)
+Section 14.3 x20
+Section 14.4 x12
+Section 14.5 x44 (I think)
+Section 14.6 x6
+Section 14.7 x8