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{\bf Math 166: Honors Calculus II \hfill Syllabus\hfill  Spring 2000}
\halign{\strut\hfil #\ &#\quad\hfil&#\hfil\cr
\week
Jan. 19 & 5.1 1st Fund Thm & \#1 p.208(5.5):2--10even,11--15,21,28\cr
     20 & 5.2--5.4 Primitive fns; 2nd Fund. Thm \cr
     21 & 5.6--5.7 Int by substitution & \#2 p.216(5.8):1--23 odd, A.1--A.3\cr
\week
     24 & 5.9 Int by parts & \#3 p.220(5.10):1,3,7,8,11a,12,13a\cr
     26 & 6.1--6.5 Logs & \#4 p.236(6.9) 1a,2--15\cr
     27 & {\sl Quiz 1}\cr
     28 & 6.6--6.8 Log ints and derivs & \#5 p.236(6.9):16--27, A.4--A.6\cr
\week
     31 & 6.12--6.16 $a^x$, integrals, derivs & \#6 p.248(6.17):1--12\cr
Feb.  2 & 6.18 Hypebolic fns & \#7 p.249(6.17):13--31odd,39,40\cr
      3 & {\sl Quiz 2}\cr
      4 & 6.20--21 Inverse fns & \#8 p.251(6.19):1--8,14,21--23, A.7--A.9\cr
\week
      7 & 6.21 Inverse trig fns & \#9 p.256(6.22): 12--18even,26,29--39odd\cr
      9 & 6.23 Partial fractions & \#10 p.267(6.25):1--12, A.10--A.11\cr
     10 & {\sl Quiz 3}\cr
     11 & 6.24 P.F., Trig substitutions & \#11 p.267(6.25):13--24\cr
\week
     14 & Trig subst. & \#12 p.267(6.25):26,29,33,34,36,38,39\cr
     16 & 7.1 Taylor polynomials & \cr
     17 & {\sl Quiz 4}\cr
     18 & 7.2 Taylor polynomials &\#13 p.278(7.4) 1--10,  A.12--A.14\cr
\week
     21 & 7.3 More Taylor Polynomials &  \cr
     23 & 7.3 Proofs & \cr
     24 & {\sl Quiz 5}\cr
     25 & 7.6 Taylor's Formula
        & \#14 p.284(7.8) 1,2,3,6,7(use .4939[57,68]),8,9, A.15--A.17\cr
\week
     28 & 7.6 Error estimates & \cr
Mar.  1 & Review\cr 
      2 & {\bf Exam 1}\cr
      3 & 7.9 $o$-notation & \#15 p. 290(7.11) 1--10\cr
\week
      6 & 7.10 Indeterminate forms & \#16 p.291(7.11) 11--17,20,22,25,26\cr
      8 &  7.11 L'H\^opital's Rule & \#17 p.295(7.13) 1--13\cr
      9 & {\sl Quiz 6}\cr
     10 & 7.14 $\pm\infty$, L'H\^opital Extensions
        & \#18 p.303(7.17) 1--10, A.18--A.19\cr
\week
 11--19 &{\bf Midsemester Break\hfill}\cr
\week
     20 & 7.15--7.16 Infinite limits & \#19 p.303(7.17) 11--20\cr
     22 & 7.16 Infinite limits \cr
     23 & {\sl Quiz 7}\cr
     24 & 10.1--10.2 Sequences & \#20 p.382(10.4) 1--10, A.20--A.21\cr
\week
     27 & 10.3 Monotonic sequences & \#21 p.382(10.4) 11-18,33,35\cr
     29 & 10.5--10.6 Infinite series & \#22 p.391(10.9) 1--10\cr
     30 & {\sl Quiz 8}\cr
     31 & 10.7--10.8 Telescoping \& geometric series
        & \#23 p.391(10.9) 11--13,15--18,20,22,23, A.22--A.24\cr
\week
Apr.  3 & 10.11--10.12 Convergence tests & \#24 p.398(10.14) 1,3--7,9--12\cr
      5 & 10.12--10.13 Integral test & \#25 p.399(10.14) 2,8,13--19\cr
      6 & {\sl Quiz 9}\cr
      7 & 10.15 Root and Ratio test & \#26 p.402(10.16) 1--14, A.25--A.27 \cr
\week
     10 & 10.17 Alternating series & \cr
     12 & 10.18 Absolute \& conditional convergence
        & \#27 p.409(10.20) 1--3,5--18,22,24\cr
     13 &  {\sl Quiz 10}\cr
     14 & Abel's Theorem, 10.21 Rearrangement of series & A.28--A.31\cr
\week
     17 & 10.23 Improper Integrals & \#28 p.420(10.24) 1--6,8,10\cr
     19 & Review \cr
     20 & {\bf Exam II}\cr
     21 & {\sl Easter Holiday}\cr
\week
     24 & {\sl Easter Holiday}\cr
     26 & 11.6 Power series; radius & \#29 p.430(11.7) 1--12\cr
     27 & 11.8 Properties of power series & \#30 p.438(11.13) 1--10\cr
     28 & 11.9 Taylor's series & A.32--A.33\cr
\week
May   1 & 11.10-11 Covergence and standard series & \#31 p.438(11.13) 11--20\cr
      3 & Review\cr
   4--5 & {\sl Study Days}\cr
\week
May  12 & Friday, {\bf Final Exam} 8:00 A.M.\cr
\week
}

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