summer 2020 release

Author: teepeemm

Calculus.tex

@@ -10,7 +10,7 @@
 
 \input{options}
 
-\setboolean{bsc}{false}
+\togglefalse{bsc}
 
 \begin{document}
 

CalculusI.tex

@@ -33,7 +33,7 @@ \part*{Calculus I}
 \input{text/02_Product_Quotient_Rules}
 \input{text/02_Chain_Rule}
 \input{text/02_Implicit_Differentiation}
-\ifthenelse{\boolean{isEarlyTrans}}{\input{text/02_Derivative_Inverse_Functions}}{}
+\iftoggle{isEarlyTrans}{\input{text/02_Derivative_Inverse_Functions}}{}
 
 
 \apexchapter{The Graphical Behavior of Functions}{chapter:graphbehavior}
@@ -69,7 +69,7 @@ \part*{Calculus I}
 \input{text/05_FTC}
 \input{text/06_Substitution}
 
-\ifthenelse{\boolean{bsc}}{}{
+\iftoggle{bsc}{}{
 
 \apexchapter{Applications of Integration}{chapter:app_of_int}
 

CalculusII.tex

@@ -1,6 +1,6 @@
 \part*{Calculus II}
 
-\ifthenelse{\boolean{bsc}}{
+\iftoggle{bsc}{
 
 \apexchapter{Applications of Integration}{chapter:app_of_int}
 
@@ -37,8 +37,8 @@ \part*{Calculus II}
 
 }{}
 
-\ifthenelse{\boolean{isEarlyTrans}}{}{%
-\apexchapter{Inverse Functions and L'H\^opital's Rule}{chapter:diff_conc}
+\iftoggle{isEarlyTrans}{}{%
+\apexchapter{Inverse Functions and L'Hôpital's Rule}{chapter:diff_conc}
 % todo write a Inverse Functions prerequisite section reviewing logs
 
 % todo write a better chapter intro for Inverse Functions
@@ -65,7 +65,7 @@ \part*{Calculus II}
 \input{text/06_Integration_Strategies}
 \input{text/06_Improper_Integration}
 \input{text/05_Numerical_Integration}
-\ifthenelse{\boolean{isEarlyTrans}}{%
+\iftoggle{isEarlyTrans}{%
  \input{text/06_Hyperbolic_Functions}
  \input{text/06_LHopitals_Rule}%
 }{}

apexNotes.txt

@@ -1,3 +1,16 @@
+1.0 figure placement
+3.5 KI 1 break p2
+4.2 colors
+5.4 Ex 3 h spacing
+7.3 T 3 v spacing
+12.3 F 5a color
+13.2 T3 break p2
+13.4 D2 v spacing?
+14.7 T3 break p2
+15.1 F6 color
+
+
+
 
 Ally complains that "This HTML file contains an invalid heading structure"
 (image?) directories in Windows use a separator \ which becomes %5C in html, and breaks
@@ -49,24 +62,27 @@ possible examples:
 8.7 required n to achieve desired level of accuracy
 9.3 Riemann Zeta function?
 9.10 examples from numerical integration
-swing jump distance
+swing jump distance:
+ starting from horizontal, with t angle from vertical and origin on ground:
+ conservation of energy => v^2=2gL cos t
+ L<sin t,1-cos t>+v<cos t,sin t>-<0,gt^2/2>
+ - leads to a fairly nasty expression to solve
 
 
 Should the notebook be distributed with the text?  Eventually.  CC-BY-NC, same as Apex.
 
 
 
 My to do:
+  new toggle trig?
+  new toggle applied?
+  ragged bottom?
   pdfsizeopt to python 3? or just get it working again?
   5.2: use something other than $\Delta x$ to represent a partition
   check units in center of mass calculations
-  \exerciseset -> \begin{exerciseset} 423 times. interacted weirdly with enumerate
   \ d, \,d, d become \dd
   rearrange text/ to have chapter subfolders? and figure???
-  kill [over|under]full hboxes
-  ifthen -> etoolbox ?
   use subfig
-  hyphenation rules at beginning
 
   | to norm/abs
   Watch out for extra !
@@ -76,4 +92,25 @@ My to do:
   vspace to addvspace, [small|med|big]skip to [small|med|big]break ?
 
 
-
+orphan exercise sets:
+01_01_exset_03
+01_03_exset_01
+01_04_exset_01
+02_01_exercises
+02_04_exset_07
+02_06_exset_01
+04_02_exset_01
+05_04_exset_06
+06_01_exset_04
+06_01_exset_05
+06_01_exset_06
+06_01_exset_07
+06_01_exset_02
+06_01_exset_03
+07_05_exset_01
+08_02_exset_03
+08_04_exset_03
+08_06_exset_03
+08_06_exset_03
+08_06_exset_04
+10_06_exset_01

changes.md

@@ -1,7 +1,7 @@
 List Of Changes
 =====================
 
-Changes for the 2020-06 version:
+Changes for the 2020-07 version:
 --------------------
 
 * A careful reading of Definition 3.3.1 shows that intervals of increasing and decreasing are usually closed within their domain.  We often had open intervals instead.
@@ -10,7 +10,9 @@ Changes for the 2020-06 version:
 
 * Anthony Bevelacqua and John Collings contributed several exercises.
 
-* All known errata (29+) have been fixed.
+* All known errata (31+) have been fixed.
+
+* After a fair bit of work (and some sweeping under the rug), we are down to two overfull hboxes and 10 undervull vboxes.
 
 Changes for the 2019-06 version:
 --------------------

empty.txt

@@ -0,0 +1,11 @@
+1
+2
+3
+4
+5
+6
+7
+8
+9
+0
+1

errata/Errata.tex

@@ -45,6 +45,7 @@
 \item \S1.4 p41: Theorem 1.4.1 needs to say ``except possibly at $c$''.
 \item \S1.6\#14,16: To be continuous at a point, the function needs to be defined in a neighborhood of the point.  This means that the functions are not continuous at the indicated points.
 \item \S3.3: A careful reading of Definition 3.3.1 shows that intervals of increasing and decreasing are usually closed within the domain.  We often had open intervals instead.
+\item \S5.3 p257 Line -6: There should be a $\ds\sum_{i=1}^n$ between the limit and the parentheses.
 \item \S5.4 p262: In order for Theorem 5.4.1 (FTC1) to help with the MVT later on, this needs to also include that $F$ is continuous at the endpoints.
 \item In the integration formulas at the back of the book, \#13 is missing its $dx$.
 \label{2019-06-00Iplus}
@@ -67,6 +68,7 @@
 \begin{enumerate}
 \item \S11.2 p659 Definition 11.2.3 refers to $c\vec v$ as a scalar product, whereas most authors use ``scalar product'' as a synonym for the dot product.
 \item \S11.2 p660 Line 17: This is the definition of $\vec u-\vec v$; it does not follow from anything.
+\item \S11.4 p691 Example 11.4.6: The final equation is missing an equal sign: $\dotsm0(1-0)1\dotsb$ should be $\dotsm0=(1-0)1\dotsb$.
 \item \S12.1 p720\#29: In the answer, the $z$-component should be $ht$.
 \item \S13.5 p817\#3: We need to state how the functions are defined.
 \item \S13.7 p839\#24: The equation should be $\sin(xy)+\cos(yz)=1$.

exercises/01_00_exset_01.tex

@@ -1,4 +1,4 @@
-\exerciseset{In Exercises}{, find the domain of the given function.}{
+\begin{exerciseset}{In Exercises}{, find the domain of the given function.}
 
 \exercise{$g(x)=(x-3)^2+5$}{$(-\infty,\infty)$}
 
@@ -21,4 +21,4 @@
 
 \exercise{$g(x)=\abs{x^2-x-6}$}{$(-\infty,\infty)$}
 
-}
+\end{exerciseset}

exercises/01_00_exset_02.tex

@@ -1,4 +1,4 @@
-\exerciseset{In Exercises}{, graph the given $f$.}{
+\begin{exerciseset}{In Exercises}{, graph the given $f$.}
 
 \exercise{$f(x)=\begin{cases} x^2-3 & x<2\\
 x-4 & x\geq 2 \end{cases}$}{\mbox{}\\[-\baselineskip]\begin{tikzpicture}[scale=.5]
@@ -56,4 +56,4 @@
 \node [above] at (myplot.above origin) {\scriptsize $y$};
 \end{tikzpicture}}
 
-}
+\end{exerciseset}

exercises/01_00_exset_03.tex

@@ -1,6 +1,6 @@
-\exerciseset{In Exercises}{, evaluate the expressions for the given $f$.}{
+\begin{exerciseset}{In Exercises}{, evaluate the expressions for the given $f$.}
 
-\exercise{$f(x)=3x^2-2x+6$\\[-1.5\baselineskip]
+\exercise{$f(x)=3x^2-2x+6$
 \begin{multicols}{2}
 \begin{enumerate}
 \item $f(2)$
@@ -10,15 +10,15 @@
 \item $\dfrac{f(x+h)-f(x)}{h}$
 \item[]
 \end{enumerate}
-\end{multicols}}{\mbox{}\\[-2\baselineskip]\begin{enumerate}
+\end{multicols}}{\mbox{}\\[-2.5\baselineskip]\parbox[t]{\linewidth}{\begin{enumerate}
 \item 14
 \item 11
 \item $3a^2-2a+6$
 \item $3(x+h)^2-2(x+h)+6$
 \item $\dfrac{h(3 h+6 x-2)}h$
-\end{enumerate}}
+\end{enumerate}}}
 
-\exercise{$f(x)=\sqrt{x-2}$\\[-1.5\baselineskip]
+\exercise{$f(x)=\sqrt{x-2}$
 \begin{multicols}{2}
 \begin{enumerate}
 \item $f(4)$
@@ -28,15 +28,15 @@
 \item $\dfrac{f(x+h)-f(x)}{h}$
 \item[]
 \end{enumerate}
-\end{multicols}}{\mbox{}\\[-2\baselineskip]\begin{enumerate}
+\end{multicols}}{\mbox{}\\[-2.5\baselineskip]\parbox[t]{\linewidth}{\begin{enumerate}
 \item $\sqrt2$
 \item undefined
 \item $\sqrt{t-2}$
 \item $\sqrt{x+h-2}$
 \item $\dfrac{\sqrt{x+h-2}-\sqrt{x-2}}h\\=\dfrac h{h(\sqrt{x+h-2}+\sqrt{x-2})}$
-\end{enumerate}}
+\end{enumerate}}}
 
-\exercise{$f(x)=\dfrac1x$\\[-1.5\baselineskip]
+\exercise{$f(x)=\dfrac1x$
 \begin{multicols}{2}
 \begin{enumerate}
 \item $f(-1)$
@@ -46,15 +46,15 @@
 \item $\dfrac{f(x+h)-f(x)}{h}$
 \item[]
 \end{enumerate}
-\end{multicols}}{\mbox{}\\[-2\baselineskip]\begin{enumerate}
+\end{multicols}}{\mbox{}\\[-2.5\baselineskip]\parbox[t]{\linewidth}{\begin{enumerate}
 \item $-1$
 \item $\dfrac19$
 \item $\dfrac1{t+3}$
 \item $\dfrac1{x+h}$
 \item $\dfrac{\frac1{x+h}-\frac1x}h=-\dfrac h{hx(x+h)}$
-\end{enumerate}}
+\end{enumerate}}}
 
-\exercise{$f(x)=e^x$\\[-1.5\baselineskip]
+\exercise{$f(x)=e^x$
 \begin{multicols}{2}
 \begin{enumerate}
 \item $f(-2)$
@@ -64,12 +64,12 @@
 \item $\dfrac{f(x+h)-f(x)}{h}$
 \item[]
 \end{enumerate}
-\end{multicols}}{\mbox{}\\[-2\baselineskip]\begin{enumerate}
+\end{multicols}}{\mbox{}\\[-2.5\baselineskip]\parbox[t]{\linewidth}{\begin{enumerate}
 \item $e^{-2}$
 \item $e^3$
 \item $e^{t+1}$
 \item $e^{x+h}$
 \item $\dfrac{e^{x+h}-e^x}h=e^x\dfrac{e^h-1}h$
-\end{enumerate}}
+\end{enumerate}}}
 
-}
+\end{exerciseset}