% 
% MA113 calendar
% Revised December 2001
% Russell Brown

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 \newcommand{\CourseNumber}{MA113}
 \newcommand{\CourseName}{Calculus I}
 \newcommand{\Semester}{Spring 2002}

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\begin{flushleft} 
\em \CourseName  \hfill  Calendar \\
\CourseNumber \hfill   \Semester
\rm 
\medskip 


{\em  Text } \em  Calculus \rm  third edition, by James Stewart, ISBN
0-534-21801-6. 

{\em  Calendar } The calendar below gives the dates of exams and other
important dates for the course. The list of problems below provide a
guide to students and instructors as to the material to be
covered. The problems marked by *'s are particularly interesting. 

\medskip

\begin{tabular}{rp{5in}}
\hline
Wed,  9 Jan  	& 	{\em Review and preview }  \S 1 \#77-82, \S 2
                	\#3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25,
			27${}^*$  \\  	 	
Fri, 11 Jan  	&   	\S1.1  { \em The tangent and velocity
			problems,  }\rm 
			\S 1.1 \#3, 5, 7 \\
Mon, 14 Jan  	& 	\S 1.2 \em The limit of a function, \rm \S 1.2
			\#1, 3, 5, 9, 11, 13, 15, 17, 19, 23, 25, 27,
			28, 29 \\ 
Wed, 16 Jan  	& 	\S 1.3 \em Calculating limits using the limit
			laws, \rm  			
			\S 1.3 \#1, 3, 5, 7, 13, 15, 17, 19, 27, 29,
			33, 39, 59, 61, 75${}^*$,  76${}^*$, 78${}^*$\\
Fri, 18 Jan 	& 	\S 1.3 Continued, \S 1.4 The rigorous definition of a
 			limit (lightly). \\
Mon, 21 Jan 	& 	Martin Luther King, Jr. holiday \\
Wed, 23 Jan 	&  	\S 1.5 \em Continuity, \rm 
			\S 1.5 \#1, 3, 9, 13, 15, 17, 31, 33, 37, 39, 45, 47,
			49, 59${}^*$, 60${}^*$ \\ 
Fri, 25 Jan 	& 	\S 1.6 \em Tangents velocities and other rates
			of change, \rm 
			\S 1.6  \#1, 5, 7, 11, 13, 15, 17 \\ 
Mon, 28 Jan 	& 	\S 2.1  \em Derivatives, \rm  
			\S 2.1  \#1, 3, 5, 7, 11, 13, 15, 23, 31, 33, 34, 35,
			37, 39, 44, 45, 53, 55, 59${}^*$, 60${}^*$,
			61${}^*$  \\ 
Wed, 30 Jan  	& 	\S 2.2 { \em Differentiation formulas},
			\S 2.2 \# 1-34 ({\em Learn to differentiate!}), 37,
			41, 43, 45, 47, 49,  55, 57, 63, 71, 74${}^*$,
			76${}^*$.  	   \\ 
            	&	\em Last day to drop \rm  \\
Fri, 1  Feb 	&  	\em Review \rm \\
Mon, 4 Feb  	&  	\em Review \rm \\
Tue, 5 Feb  	&  	\em First exam, \rm  7:30pm-9:30pm, room TBA \\
\hline
Wed, 6 Feb  	&  	\S 2.3
			\em Rates of change in the natural and social
 			sciences, \rm 
  			\S 2.3  \#1, 3, 5, 7, 9, 11, 13\\
Fri, 8 Feb 	& 	Appendix D,  Trigonometry  review 
          		\#1, 3, 5, 7, 9, 11, 29, 31, 33, 35, 37, 43,
			45, 47, 49, 53, 83${}^*$,85${}^*$ \\ 
Mon, 11 Feb 	& 	\S 2.4  \em Derivatives of trigonometric
			functions,  \rm  
			\S 2.4 \#1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23,
			25, 27, 33, 35, 37, 43, 45, 47, 53${}^*$, 55 \\
Wed, 13  Feb  	&    	\S 2.5  { \em The chain rule,  }
			\S 2.5 1-47 (odds) 49, 51, 67, 69, 71${}^*$, 72${}^*$,
 			73${}^*$  \\ 
Fri, 15 Feb  	& 	\em Implicit differentiation, \rm 
			\S 2.6 \#1, 3, 5, 7, 9, 11, 21, 23, 25, 31,
			35, 41, 43, 45 \\ 
Mon, 18 Feb 	&	\S2.7 \em Higher derivatives, \rm 
			\S 2.7 \#1, 3, 5, 7, 23, 25, 27, 29, 31${}^*$41, 43,
			47, 49, 52${}^*$, 53 \\
Wed, 20 Feb 	&	\S 2.8  {\em  Related rates},  
			\S 2.8  \#1, 3, 5, 7, 9, 11, 13, 15, 23, 27, 31 \\
Fri, 22 Feb 	&  	{\em Related rates, continued}  \\
Mon, 25 Feb 	&   	\S 2.9 \em Linear approximations \rm, 
			\S 2.9 \#31,  33,  35, 37, 39, 41, 45, 47,
			51${}^*$, 54 \\    
Wed, 27 Feb 	&   	\S 2.10  \em Newton's method, \rm 
			\S 2.10 \#1, 2, 3, 13, 23, 25, 31${}^*$ \\
Fri, 1 Mar 	&	\em Review \rm  \\
Mon, 4 Mar 	& 	\em Review \rm  \\
Tue, 5 Mar  	&  	\em Second exam, \rm 7:30pm-9:30pm, room TBA \\
\hline
\end{tabular}
\begin{tabular}{rp{4in}}
\hline
Wed, 6 Mar 	&	\S 3.1  {\em   Maximum and minimum values}, 
			\S	3.1, \#1, 3, 5, 7, 9, 11, 13, 15, 21,
			29, 31, 33, 35, 37, 39, 45, 47, 49, 51, 62,
			63,  67, 69   \\  
Fri, 8 Mar  	&	\S 3.2 {\em The mean value theorem}, 
			\S 3.2 	\#1, 7, 17, 19, 21, 
			23${}^*$, 24, 25, 27, 31, 33, 35\\	
		&	Last day to withdraw  \\ 
11--15 Mar	 & 	Spring break \\
Mon, 18 Mar	 & 	\S3.3 {\em Monotonic functions and the first
			derivative test}, 	
			\S 3.3 \#1, 3, 5, 7, 17, 23, 27, 31, 33, 35,
			37, 39, 41, 43, 47${}^*$, 49${}^*$\\
Wed, 20 Mar 	 & 	\S 3.4  {\em Concavity and points of
			inflection}, 
			\S 3.4 \#1, 3, 5, 7, 9, 13, 17, 21, 23, 25,
			27, 31${}^*$, 32, 35, 39${}^*$, 40\\ 
Fri, 22 Mar 	& 	\S 3.5  {\em Limits at infinity, horizontal
			asymptotes}, 
			\S 3.5 \#1, 3, 5, 7, 9, 11, 17, 19, 21, 23,
			33, 41, 43, 53, 55, 61, 65, 66 \\ 
Mon, 25 Mar	 & 	\S 3.6  {\em Curve sketching}, 
			\S 3.6 \#1, 3, 5, 11, 13, 31, 35\\
Wed, 27 Mar  	& 	\S3.8 {\em Applied maximum and minimum
			problems}, 				
			\S 3.8 \#1, 3, 5, 7, 9, 11, 13, 15, 17, 19,
			21, 23, 29, 33, 35, 43, 44.  \\ 
Fri, 29 Mar 	& 	{\S 3.8, continued }\\
Sun, 31 Mar	&	Sir Isaac Newton died, 27 March 1727 \\
Mon, 1 Apr  	& 	\S3.10 {\em Anti-derivatives}, \S 3.10 \#1, 3,
			5, 7, 15, 17, 19, 21, 23, 27, 37, 39, 43, 49,
			55, 59${}^*$, 63, 65, 67${}^*$\\  
Wed, 3 Apr	&	\S4.1  {\em Sigma notation}, 
			\S 4.1 \#1, 3, 11, 13, 19, 21, 23, 37, 39, 41,
			47${}^*$, 53${}^*$, {\em Mathematical induction},  
			Appendix E \#1, 7, 9\\
Fri, 5 Apr	& 	\em Review \rm \\
Mon, 8 Apr	& 	\em Review  \\
Tue, 9 Apr	& 	\em Third exam, \rm 7:30pm-9:30pm, room TBA \\
\hline 
Wed, 10 Apr 	& 	\S4.2 {\em Area}, 
			\S 4.2 \#1, 3, 9, 11, 13, 23, 25${}^*$, 26${}^*$ \\ 
Fri, 12 Apr 	& 	\S 4.3 {\em The definite integral}, 
			\S 4.3 \#1, 3, 15, 16, 17, 23, 25, 27, 31, 33,
			35, 39, 41, 45, 47,  55, 57, 59 \\ 
Mon, 15 Apr	& 	\S4.4 {\em The fundamental theorem of
			calculus}, 
			\S 4.4  \#5, 7, 9, 17, 19, 21, 23,
			25, 27, 29, 31, 41, 43, 45,  59, 61, 63, 65,
			69, 71, 81, 82, 83a,b,c${}^*$, 87, 89\\  
Wed, 17 Apr   	& 	\S4.5 { \em The substition rule}, \S 4.5 \#1,
			3, 5, 7, 9, 11, 39, 41, 43, 53, 55, 63, 65, 67\\ 
Fri, 19 Apr	& 	\S5.1 {\em Areas between curves}, 
			\S 5.1 \#1, 5, 7, 9, 13, 15, 17, 19, 25, 29,
			33, 45${}^*$, 49  \\  
Mon, 22 Apr	& 	\S5.2 {\em Volume}, 
			\S 5.2 \#1, 3, 5, 7, 13, 15, 17, 19, 25,
			27, 33, 35, 47, 49, 51, 52, 61, 68\\                 
Wed, 24 Apr   	&  	\em Review \\
Fri, 26 Apr  	&  	\em Review \rm   \\
\hline
Mon, 29 Apr  	&  	\em  Final exam\rm, 8:30--10:30pm, room TBA \\
\end{tabular}

\end{flushleft}
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