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{\bf Math 166: Honors Calculus II \hfill Syllabus\hfill  Spring 1999}
\halign{\strut\hfil #\ &#\quad\hfil&#\hfil\cr
\week
Jan. 13 & 5.1 1st Fund Thm & \#1 p.208(5.5):2--10even,11--15,21,28\cr
     14 & 5.2--5.4 Primitive fns; 2nd Fund. Thm \cr
     15 & 5.6--5.7 Int by substitution
        & \#2 p.216(5.8):1--23 odd, A.1--A.3\cr
\week
     18 & 5.9 Int by parts & \#3 p.220(5.10):1,3,7,8,11--13(`a' only)\cr
     20 & 6.1--6.5 Logs & \#4 p.236(6.9) 1a,2--15\cr
     21 & {\sl Quiz 1}\cr
     22 & 6.6--6.8 Log ints and derivs
        & \#5 p.236(6.9):16--27, A.4--A.6\cr
\week
     25 & 6.12--6.14 Exponential fn & \#6 p.248(6.17):1--12\cr
     27 & 6.15--6.16 Exp ints and derivs & \#7 p.249(6.17):13--31odd,39,40\cr
     28 & {\sl Quiz 2}\cr
     29 & 6.18 Hyperbolic fns
        & \#8 p.251(6.19):1--8,14,21--23, A.7--A.9\cr
\week
Feb.  1 & 6.20--6.21 Inverse fns & \#9 p.256(6.22): 12--18even,26,29--39odd\cr
      3 & 6.21 Inverse trig fns & \cr
      4 & {\sl Quiz 3}\cr
      5 & 6.23 Partial fractions
        & \#10 p.267(6.25):1--12, A.10--A.11\cr
\week
      8 & 6.24 P.F., Trig substitutions & \#11 p.267(6.25):13--24\cr
     10 & Trig subst. & \#12 p.267(6.25):26,29,33,34,36,38,39\cr
     11 & {\sl Quiz 4}\cr
     12 & 7.1--7.3 Taylor polynomials & \cr
\week
     15 & 7.3 More Taylor Polynomials & \#13 p.278(7.4) 1--10\cr
     17 & Review\cr
     18 & {\bf Exam 1}\cr
     19 & 7.5 Taylor's formula & A.12--A.14\cr
\week
     22 & 7.7 Lagrange form of the remainder & \#14 p.284(7.8) 1--3,6--9\cr
     24 & 7.6 Error estimates &  \cr
     25 & {\sl Quiz 5}\cr
     26 & 7.9 $o$-notation
        & \#15 p. 290(7.11) 1--10, A.15--A.17\cr
\week
Mar.  1 & 7.9 $o$-notation & \#16 p.291(7.11) 11--17,20,22,25,26\cr
      3 & 7.10 Indeterminate forms & \cr
      4 & {\sl Quiz 6}\cr
      5 & 7.11 L'H\^opital's Rule
        & \#17 p.295(7.13) 1--13, A.18--A.19\cr
\week
  8--12 &{\bf Midsemester Break\hfill}\cr
\week
     15 & 7.14 $\pm\infty$, L'H\^opital Extensions & \#18 p.303(7.17) 1--10\cr
     17 & 7.15--7.16 Infinite limits & \#19 p.303(7.17) 11--20\cr
     18 & {\sl Quiz 7}\cr
     19 & 7.16 Infinite limits & A.20--A.21\cr
\week
     22 & 10.1--10.2 Sequences & \#20 p.382(10.4) 1--10\cr
     24 & 10.3 Monotonic sequences & \#21 p.382(10.4) 11-18,33,35, A.22--A.24\cr
     25 & {\sl Quiz 8}\cr
     26 & 10.5--10.6 Infinite series
        & \#22 p.391(10.9) 1--10\cr
\week
     29 & 10.7--10.8 Telescoping \& geometric series
        & \#23 p.391(10.9) 11--13,15--18,20,22,23\cr
     31 & 10.11--10.12 Convergence tests\cr
Apr.  1 & 10.12--10.13 Integral test & \#24 p.398(10.14) 1--10\cr
      2 & {\sl Easter Holiday}\cr
\week
      5 & {\sl Easter Holiday}\cr
      7 & 10.13, Review & \#25 p.399(10.14) 11--19\cr
      8 & {\bf Exam II}\cr
      9 & 10.15 Root and Ratio test & \#26 p.402(10.16) 1--14, A.25--A.27 \cr
\week
     12 & 10.17 Alternating series\cr
     14 & 10.18 Absolute \& conditional convergence
        & \#27 p.409(10.20) 1--3,5--18,22,24\cr
     15 & {\sl Quiz 9}\cr
     16 & Abel's Theorem, 10.21 Rearrangement of series & A.28--A.31\cr
\week
     19 & 10.23 Improper Integrals & \#28 p.420(10.24) 1--6,8,10\cr
     21 & 11.6 Power series; radius & \#29 p.430(11.7) 1--12\cr 
     22 & {\sl Quiz 10}\cr
     23 & 11.8 Properties of power series
        & \#30 p.438(11.13) 1--10, A.32--A.33\cr
\week
     26 & 11.9 Taylor's series & \cr
     28 & Review\cr
     30 & {\sl Study Day}\cr
\week
May  6 & Thursday, {\bf Final Exam} 8:00 A.M.\cr
\week
}

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