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\textbf{Homework assignments} \\
\textbf{Math 105, Spring 1999}
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\noindent
Page numbers refer to the textbook \emph{Calculus and its
Applications}, 7th edition, by Goldstein, Lay, and Schneider.
``Supplementary set'' refers to the supplementary problems I
distributed at the start of the semester.

\vspace{0.2in}

\noindent 
\begin{tabular}{|c|p{2.5in}|l|}
\hline
\textbf{Number} & \textbf{Assignment} & \textbf{Topic}
\\ \hline
1 & p. 29  \# 1--5, 15--18  
& linear functions, graphs
\\ \hline
2 & p. 63  \# 22, 23, 25, 26 
& linear cost, revenue and profit
\\ \hline
3 & p. 81  \# 4--8, 13, 15--18, 22, 23, 25  
& points and slopes
\\ \hline
4 & p. 18  \# 13, 14, 17, 18, 21, 22 
& function notation
\\ \hline
5 & p. 66  \# 33-36; Supplementary set \# 1--3
& non-linear cost and revenue
\\ \hline
6 & Supplementary set \# 4--7
& quadratic functions
\\ \hline
7 & p. 19  \# 23--26  
& natural domain of a function
\\ \hline
8 & Supplementary set \# 8 
& asymptotes
\\ \hline
9 & p. 53  \# 1, 2, 8--10, 12--15, 17--20, 77--84; Supplementary set
\# 9 
& powers and roots
\\ \hline
10 & p. 20  \# 53, 54, 56; Supplementary set \# 10, 11  
& multi-line functions and continuity
\\ \hline
11 & p. 54  \# 85--90, 94  
& simple and compound interest
\\ \hline
12 & p. 344  \# 5, 6, 8, 11
& continuously compounded interest
\\ \hline 
13 & p. 310 \# 1--8, 13--18, 21--23; Supplementary set \# 12--16
& basic exp--log relation
\\ \hline
14 & p. 336 \# 15--18; Supplementary set \# 17--19
& growth and decay problems
\\ \hline
15 & p. 345 \# 10, 13, 14  
& growth of an investment 
\\ \hline
16 & p. 89 \# 10--12, 13--18  
& slope of a curve --- general idea
\\ \hline
17 & p. 90 \# 22, 23, 25--27  
& slope and tangent of parabola 
\\ \hline
18 & Supplementary set \# 20
& slope and tangent by secant approximation
\\ \hline
19 & Supplementary set \# 21  
& derivative from definition
\\ \hline
20 & p. 126, \# 4--6, 13--15, 29, 32; Supplementary set \# 22
& derivative from formulas
\\ \hline
21 & p. 126 \# 39, 41, 42  
& slope and tangent via derivative formulas
\\ \hline
22 & p. 148 \# 31(a,b,d,e), 33; Supplementary set \# 23
& velocity
\\ \hline
\end{tabular}

\noindent 
\begin{tabular}{|c|p{2.5in}|l|}
\hline
\textbf{Number} & \textbf{Assignment} & \textbf{Topic}
\\ \hline
23 & p. 148 \# 31(c), 34; p. 153, \# 54, 55, 57 
& acceleration and second derivative
\\ \hline
24 & p. 146 \# 23--26  
& marginal cost, revenue and profit
\\ \hline
25 & p. 146 \# 18, 35, 38, 39, 40 
& linear approximation
\\ \hline
26 & Supplementary set \# 24--27
& derivative of $\ln x$
\\ \hline
27 & Supplementary set \# 28--30
& derivative of $e^{x}$
\\ \hline
28 & Supplementary set \# 31--34 
& derivatives of other exponentials
\\ \hline
29 & Supplementary set \# 35, 36
& Newton's law of cooling
\\ \hline
30 & p. 336 \# 19--21 
& Carbon dating
\\ \hline
31 & p. 257 \# 1, 3; p. 304 \# 22, 25, 27; p. 314 \# 4, 7, 16, 17
& product rule
\\ \hline
32 & p. 257 \# 13, 15, 32, 36, 37;  p. 304 \# 23, 29;  p. 314 \# 14
& quotient rule
\\ \hline
33 & p. 265 \# 11, 33, 34, 45, 46, 47, 49;  p. 304 \# 5, 11, 14;
p. 314 \# 3, 6, 11, 12, 25 
& chain rule
\\ \hline
34 & p. 281 \# 13, 14, 21--26, 50, 51;  p. 322 \# 20, 21, 26, 50, 51,
59, 60; Supplementary set \# 37, 38
& miscellaneous derivative problems
\\ \hline
35 & Supplementary set \# 39--42; p. 184 \# 37, 38; p. 315 \# 26, 28
& critical points and first derivative test
\\ \hline 
36 & p. 180 \# 1--6, 39, 40;  p. 244 \# 3--6    
& second derivative and concavity 
\\ \hline
37 & p. 195 \# 2, 5, 9, 11, 17--20;  p. 304 \# 35, 37, 38
& second derivative test
\\ \hline
38 & p. 246 \# 33, 35, 36, 41, 42, 43;  p.305 \# 51, 52;  
p. 323 \# 31, 33, 65, 66
& curve sketching
\\ \hline
39 & p. 226 \# 1, 2, 4, 5, 6 
(Note:  read examples 1, 2 and 3 on pages 218--222.)
& optimization
\\ \hline
40 & p. 240 \# 3, 5, 7, 8, 9, 11, 13 
& economics and business problems
\\ \hline
41 & p. 382 \# 1--6, 24, 25, 28, 34, 36, 47, 49, 50
& antiderivatives
\\ \hline
42 & p. 410 \# 23--26, 28, 29, 31  
& area and antiderivative
\\ \hline
\end{tabular}

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