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{\bf Math 165: Honors Calculus \hfill Syllabus \hfill Fall 1995}
\halign{\strut\hfil #\ &#\quad\hfil&#\hfil\cr
\week
Aug. 23 & I2 Introduction, set theory & \#1 p.19:4,5,8,9,10, p.21:2,4,5,9,10\cr
     24 & I3.2--4 Axioms for real numbers\cr
     25 & I3.6--7 Inductive sets, Integers, Rationals &
          \#2 p.35:1--6,9,12 (due 8/30)\cr
\week
     28 & I4.1--2 Induction & \#3 p.40:3,4,5,6,8,11 (due 8/31)\cr
     30 & I4.8 Summation, absolute value, triangle inequality&
          \#4 p.43:1,2\cr
     31 & Quiz 1\cr
Sept. 1 & I4.10 Pascal's triangle, binomial theorem & \#5 suppl.\cr
\week
      4 & 1.1--4 Functions, ordinate sets, polynomials & \#6 p.56:5,6,8,10,11\cr
      6 & 1.8--9 Partitions \& step functions & \#7 p.63:1--4\cr
      7 & Quiz 2\cr
      8 & 1.10,12 Integrals of step functions & \#8 p.70:1,2,3,4,6a,11\cr
\week
     11 & 1.12--13 Properties of integrals of step functions \cr
     13 & Sup and inf & \#9 read I3.8--11 + suppl.\cr
     14 & Quiz 3\cr
     15 & 1.16--17 Upper \& lower integrals\cr
\week
     18 &1.20--21 Monotonic functions and integrability &
     \#10 p.83:1-4,10,16,20,21--23,25\cr
     20 &1.22--23 Calculation of integrals, $\int x^p dx$ & \#11 suppl.\cr
     21 &Quiz 4\cr
     22 &1.24-25 Properties of integrals, polynomials\cr
\week
     25 &2.2 Area between curves & \#12 p.94:1--7,11,15,17\cr
     27 &2.16 Average value of a function &
      \#13 p.119:1--4,11,18a,19a,20a\cr 
     28 &Exam 1\cr
     29 &Go over Exam, Trig Functions\cr
\week
Oct.  2 &2.5--7 Trig functions & \#14 p.104:1--5,8,9,14,15\cr
      4 &2.18 Integral as function & \#15 p.124:1,3,5,7, $\int_0^x [t]dt$\cr 
      5 &Quiz 5\cr
      6 &3.1--2 Limits & \#16 suppl.\cr
\week
      9 &3.3 Continuity  \cr
     11 &3.4 More Continuity & \#17 p.138:1--5,8--12,15,20--23,32\cr
     12 &Quiz 6\cr
     13 &3.5 Basic Limit Theorems\cr
\week
 14--22 &{\bf Midsemester Break}\cr
\week
     23 &3.7 Composite functions& \#18 p.142:1--21 (ans. to 20 is 2)\cr
     25 &3.9 Bolzano's Theorem \cr
     26 &Quiz 7\cr
     27 &3.10 Intermediate Value Theorem & \#19 p.145:1--6\cr
\week
     30 &3.12 Inverse functions & \#20 p.149: 1--5 + suppl.\cr
Nov.  1 &3.13--14 Properties of inverse functions \cr
      2 &Quiz 8\cr
      3 &3.16 Boundedness Theorem, Extreme Value Theorem & \#21 suppl.\cr
\week
      6 &3.17--18 Small Span Thm, Integrability of cont. fns.&
     \#22 p.155:1--3,6--8\cr
      8 &3.19 Mean Value Theorem, Derivatives\cr
      9 &Quiz 9\cr
     10 &4.1 Derivatives & \#23, suppl.\cr
\week
     13 &4.1--4 Derivatives &\#24 p.167:3--12,16--23,25--38\cr
     15 &4.5 Power rule, higher derivatives \cr
     16 & Exam 2\cr
     17 &4.6--10 Tangent line, chain rule & \#25 p.173: 1--5,7,9,14,15\cr
\week
     20 &4.11 Implicit derivatives & \#26 p.179:1--19odd\cr
     22 &4.11 Related rates & \#27 p.180:20--24,30--34\cr
     23 & Thanksgiving\cr
\week
     27 &4.13 Extreme values & \#28 p.186:1--10 \cr
     29 &4.14 Mean Value Theorem for Derivatives\cr
     30 &Quiz 10\cr
Dec.  1 &4.17 1st \& 2nd derivative tests & \#29 p.191:1--14\cr
\week
      4 &Convexity &(\#30 p.194:1--19odd)\cr
      6 &(Extrema problems) Review, evaluations\cr
\week
Fri. 15 &Final Exam, 1:45--3:45\cr
}	


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