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%MA113 syllabus

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\em \CourseName  \hfill  Calendar \\
\CourseNumber \hfill   Fall 2001 
\rm 
 
\medskip 


{\em  Text } \em  Calculus \rm  third edition, by James Stewart. 

{\em  Calendar } The calendar below gives the dates of exams and other
important deadlines for the course. Students should master
all of the unstarred problems on this list.  The problems marked by
*'s are particularly interesting. 

\medskip

\begin{tabular}{rp{5in}}
\hline
Wed, 22 Aug & Preview and review \S 1 \#77-82, \S 2
\#3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27${}^*$  \\  
Fri, 24 Aug &  Trigonometry  review, Appendix D
\#1, 3, 5, 7, 9, 11, 29, 31, 33, 35, 37, 43, 45, 47, 49, 53,
83${}^*$,85${}^*$ \\ 
Mon, 27 Aug & \em The tangent and velocity problems, \rm \S 1.1 \#3,
5, 7 \\
Wed, 29 Aug & \em The limit of a function, \rm \S 1.2 \#1, 3, 5, 9,
11, 13, 15, 17, 19, 23, 25, 27, 28, 29 \\
Fri, 31 Aug & \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${}^*$\\
Mon, 3 Sep &  \em Labor day \rm \\
Wed, 5 Sep &  \em The precise definition of a limit, \rm  \S 1.4 
\#1, 3, 5, 7, 11, 13, 15, 21, 27, 35 \\
Fri, 7 Sep &  \em Continuity, \rm \S 1.5 \#1, 3, 9, 13, 15, 17, 31,
33, 37, 39, 45, 47, 49, 59${}^*$, 60${}^*$ \\
Mon, 10 Sep &  \em Tangents velocities and other rates of change, \rm
\S 1.6  \#1, 5, 7, 11, 13, 15, 17 \\ 
Wed, 12 Sep &  \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${}^*$ 

\em Last day to drop \rm  \\
Fri, 14 Sep &  \em Review \rm \\
Mon, 17 Sep &  \em Review \rm \\
Tue, 18 Sep &  \em First exam, \rm  7:30pm-9:30pm, room TBA \\
\hline
Wed, 19 Sep & { \em Differentiation formulas}, \S 2.2 \S 1-34 ({\em
Learn to differentiate!}), 37, 41, 43, 45.  \rm  \\
Fri, 21 Sep &  \em Rates of change in the natural and social sciences,
\rm 
\S 2.3  \#1, 3, 5, 7, 9, 11, 13\\
Mon, 24 Sep & \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, 26 Sep & \em The chain rule, \rm \S 2.5 1-47 (odds) 49, 51, 67,
69, 71${}^*$, 72${}^*$, 73${}^*$  \\
Fri, 28 Sep & \em Implicit differentiation, \rm \S 2.6 \#1, 3, 5, 7,
9, 11, 21, 23, 25, 31, 35, 41, 43, 45 \\
Mon, 1 Oct  & \em Higher derivatives, \rm \S 2.7 \#1, 3, 5, 7, 23,
25, 27, 29, 31${}^*$41, 43 \\
Wed, 3 Oct  &  {\em  Related rates},  \S 2.8  \#1, 3, 5, 7, 9, 11, 13,
15, 23, 27, 31 \\
Fri, 5 Oct  &  \em Fall break \rm \\ 
Mon, 8 Oct  & {\em Related rates, continued}  \\
Wed, 10 Oct &  \em Differentials, \rm  \S 2.9 \#31,  33,  35, 37, 39, 41,
45, 47, 51${}^*$, 54 \\   
Fri, 12 Oct &\em Review \rm  \\
Mon, 15 Oct & \em Review \rm  \\
Tue, 16 Oct &  \em Second exam, \rm 7:30pm-9:30pm, room TBA \\
\hline
\end{tabular}
\begin{tabular}{rp{4in}}
\hline
Wed, 17 Oct &
 \em Newton's method, \rm \S 2.10 \#1, 2, 3, 13, 23,
25, 31${}^*$ \\
Fri, 19 Oct & {\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 

Last day to withdraw  \\ 
Mon, 22 Oct & {\em The mean value theorem}, \S 3.2 \#1, 7, 17, 19, 21,
23${}^*$, 24, 25, 27, 31, 33, 35\\
Wed, 24 Oct & {\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${}^*$\\
Fri, 26 Oct & {\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\\
Mon, 29 Oct & {\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 \\
Wed, 31 Oct & {\em Curve sketching}, \S 3.6 \#1, 3, 5, 11, 13, 31, 35\\
Fri, 2 Nov  & {\em Applied maximum and minimum problems}, \S 3.8 \#1,
3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 29, 33, 35 \\
Mon, 5 Nov  & {\S 3.8, continued }\\
Wed, 7 Nov  & {\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${}^*$\\
Fri, 9 Nov  & \em Review \rm \\
Mon, 12 Nov & \em Review  \\
Tue, 13 Nov & \em Third exam, \rm 7:30pm-9:30pm, room TBA \\
\hline 
Wed, 14 Nov & {\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, 16 Nov &  {\em Area}, \S 4.2 \#1, 3, 9, 11, 13, 23, 25${}^*$, 26${}^*$ \\ 
Mon, 19 Nov & {\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 \\
Wed, 21 Nov & {\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\\ 
22-23 Nov   &  \em Thanksgiving holiday \rm \\
Mon, 26 Nov &  {\em Fundamental theorem, continued } \\
Wed, 28 Nov  & { \em The substition rule}, \S 4.5 \#1, 3, 5, 7, 9, 11,
39, 41, 43, 53, 55, 63, 65, 67\\ 
Fri, 30 Nov  & {\em Areas between curves}, \S 5.1 \#1, 5, 7, 9, 13,
15, 17, 19, 25, 29, 33, 45${}^*$, 49  \\ 
Mon, 3 Dec   & {\em Volume}, \S 5.2 \#1, 3, 5, 7, 13, 15, 17, 19, 25,
27, 33, 35, 47, 49, 51, 52, 61, 68\\                 
Wed, 5 Dec   &  {\em Volume by cylindrical shells}, \S 5.3 \#1, 3, 9,
15, 17, 19, 25, 33, 39, 41, 42 \\
Fri, 7 Dec   &  \em Review \rm   \\
\hline
Thu, 13 Dec  &  \em  Final exam\rm, 6-8pm, room TBA \\
\end{tabular}

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