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Leonhard
Euler (1707-1783) was arguably the greatest mathematician of the eighteenth century and one of the most prolific of all
time; his publication list of 886 papers and books is impressive. Euler's complete works fill about 90 volumes. Remarkably,
much of this output dates from the the last two decades of his life, when he was totally blind.
Though born and educated in Basel, Switzerland, Euler spent most of his career in St. Petersburg
and Berlin. He joined the St. Petersburg Academy of Sciences
in 1727. In 1741 he went to Berlin at the invitation of Frederick
the Great, but he and Frederick never got on well and in 1766 he returned to St.
Petersburg, where he remained until his death. Euler's prolific output caused a tremendous problem
of backlog: the St. Petersburg Academy
continued publishing his work posthumously for more than 30 years. Euler's
powers of memory and concentration were legendary. He could recite the entire Aeneid word-for-word. He was not troubled by
interruptions or distractions; in fact, he did much of his work with his young children playing at his feet. He was able to
do prodigious calculations in his head, a necessity after he went blind. The contemporary French mathematician Condorcet tells
the story of two of Euler's students who had independently summed seventeen terms of a complicated infinite series, only to
disagree in the fiftieth decimal place; Euler settled the dispute by recomputing the sum in his head.
Honors
Math Analysis at ECR is offered for the student who wants to complete Calculus BC in high school.
Honors Math Analysis maintains a rapid pace throughout the year to enable the student to begin learning Calculuc A topics
in May.
A graphing calculator should be brought to class daily. I'll use
the TI-83+ for demonstration. Most students use the TI-83, 83+, 84+. Some students who like to read manuals and
do further explorations use the TI-nspire or TI-89. Any of these calculators are more than adequate for calculus and
beyond.
The following is a list of assignments.
These are subject to change.
(HW is collected daily, and given a grade based on accuracy, the work shown, and the score on the paper.
“Late” or “reworked” homework will only be accepted within one week; to “rework” a minus
homework for a grade of a check—completely write out corrections on a fresh piece of paper & staple to the top of
the original assignment. Include section number, page number, and problem numbers
assigned. It must be turned in with the current “acceptable” assignment.)
M 1/9 p 249-252:
1-47 odd
T 1/10 p 251: 57-91
odds; p 259-260: 7-23 odds
W 1/11 p 260: 25-55
odds
Th 1/12 p 266-267:
1-39 odds, 40
F 1/13 p 272-273:
1-19, 21-37 odds
T 1/17 Rev
p 276-277:2-72e
W 1/18 Outline
Th 1/19 Ch 6 Test p 543: 1-9 odd,13, 33
F 1/20 p 559: 1-7
all; 15-23 odd
M 1/23 p 561: 35-37,
39, 43, (60); p 544: 17-19, 21, 25,32
T 1/24 p 609-610:
1-4,8-15,17,23-25
W 1/25 p 573: 1-25
eoo, 27-49 odd; p 544: 35,37
Th 1/26 Quiz
(9.1-9.3) p 580: 1-47 e.o.o., 49-53 odd, 59-61; p 574: 48,51,53
F 1/27 p 587: 1-17
odd,21; p 589:15-18 all
M 1/30 worksheet & Trig book: p 380-381: 1-4,5-25 odd
T 1/31 p 596-597: 1-26 all (Polars)
W 2/1 Trig Book p 370-372:
1-21 all, 35-42 all * * * WRITING ASSIGNMENT: DUE M 2/6 * * * * How to graph polar
graphs: discuss in detail the basic two shapes -- limacons & flowers. Include how to determine which direction
the graph is oriented. Also include where the tips of the flower petals are and details about limacons, such as when
there is a loop.
Th 2/2 p 370-372:
23-30,43-47 all; p 604-606: 27,28
F 2/3 Quiz
on Parametric & Polar graphs; p 614-615: 1-16 all
M 2/6 outline, discuss
matrices
T 2/7 (AMC) Ch 9 Test; p 624-625: 15,17,29-45 odd,54-57W 2/8 p 633: 1-15 odd, 31;
p 645: 1-4, 23-49 odd
Th 2/9 p 652: 5,7, 9; p 663: 1-4 all, 19,25,43,44,55
F 2/10 p 653:
27-31 odd, p 633: (all TI) 14,24,28; p 664: 34,36--set up Cramer's; solve in TI
M 2/13 Quiz; p 672:
1-21 odd
T 2/14 p 819: 1-21
odd; p 672: 41, 43
W 2/15 p 677-678:
1,3,7-13 odd, 14-20 all, 23-33 odd
Th 2/16 Ch
10 outline
F 2/17 Ch 10 Test; p 694: 1-31 odd
T 2/21 p 694:
2-32 even
W 2/22 p 704: 1-21
eoo, 25-30
Th 2/23 p 705: 33,34;
p 709: 1-7 odd; p 720: 1-15 odd
F 2/24 quiz;
p 720: 16-25 odd, 26-34 all; p 734: 1-11 odd
M 2/27
p 734-735:,13,17-23 odd, 27-39 all, 50-52
T 2/28
p 759-760: 1-6, 7-15 odd, 17 in class
W 2/29
p 759: name the conic in 22-38; graph 20,29,33
Th
3/1 11.5 quiz; p 759: 34; p 766-767: 1-18 (skip 3,9, & 16)
F 3/2
rotation quiz; Outline
M 3/5 Ch
11 test; p 774: 5, 11,23,37,40,43,47
T 3/6 p 781: 1-57 e.o.o., 59; Midterm rev: p 535:2.3.5.6
W 3/7 p788-789:
4-6,15-55 e.o.o., 56; Midterm rev: p 535: 7.8.10,11,15
Th 3/8 p 797-798: 1-33eoo, 18,28,34; Midterm rev: p 609:
3; p 614: 2.3.8
F 3/9 p 805:
1-9 odd,14-24 e
M 3/12 p 805: 30-38e (roots only), p 808: 1,3,5 just solve
in TI; p 812-813: 1-29 odd
T 3/13 or W 3/14 p 853: 3-23 odd, 29-37; due Fri & ch outline
Th 3/15 Ch 12 Test; p 859: 1-29 odd
F 3/16 midterm
M
3/19 p 853: 39-49
odd; p 843: 1,3,(5),6,10, (11), 17
T
3/20 p 859: 39-60 all, 65; p 843: 19-21
W 3/21
p 865: 1-29 odd; p 844: 22, 35, 36
Th
3/22 p 870: 1-35 odd
F
3/23 Quiz; p 865: 10-30 evens; p 870: 10-34 evens
M
3/26 HBJ worksheet: p 329: 1-15 odd, 16-27 all
T
3/27 HBJ worksheet: p 330: 28-37, p 333: 1-16 all
W
3/28 Big Blue: p 875-876: 1-63 odds due Mon 4/9
Th
3/29 13.2-13.5 Quiz
M
4/9 HBJ worksheet: p 333: 17-27; p 336: 1-12; review sheets 1 & 2 due Fri
T
4/10 p 336: 13-20,22,24,27-29;
W
4/11 Worksheet
Th
4/12 power series Quiz
F 4/13 Ch 13 & Power Series Summary
M 4/16 Ch 13 Seq & Series Test
Calc Books: p 17: 25-30,37,39,45,47; p 25: 11,17-25 odds, 65, p 35: 63,65,67; p 45-47: 1d,3d,4d,7-21odd,51-54 all,
59-70 (vers 3: p 18: 25-30,37,39,45,47; p 25: 7-15,21; p 37: 60,61,63;p 46: 1d,7-11odd, 19-27 odd, 51-56, 63-70) due
Wed
T 4/17 Ch 1 & 2 Review Quiz; Rev 3 & 4 due Mon
W 4/18
p61-62: 3, 7-31 all, 34, 35 & p 68-69: 1-51 odds; (vers 3: p 61: 3-27 odd, p 66-69: 1-49 odd)
Th 4/19 p
75-76: 1-53odd; (ver 3: p 74-76: 1-51 odd)
F
4/20 Section 2.4 p 82-83: 1-41 odd
M 4/23 Test (Over Ch 1 & 2, Reviews 1-3) Review Sets 5 & 6 due Monday
T 4/24 or W 4/25 Section 3.1: 1-4 all 5-47 odd,
48-50
Th 4/26 Continue working (per
2 only)
F 4/27 Section 3.2: 1-13 odd, 22, 23 & vers 5: 15-18
all
M
4/30 3.2: 10,12,14, (Vers 5: 30,31) Ch
2 Review: 1-37 e.o.o., 39, 40; Review 7 due M
T 5/1 Calculus Quiz on Ch 1-3.2; Section 3.3: p 119-121: 1-41 odd;
W 5/2 3.4: p 127-128: 1-39 odd, 43
Th 5/3
3.5 p 134-135: 7-37 odd, 44,47,56
F
5/4 Review Quiz 3 & 4; Ch 3 Review section (P 145 or 151): 1-29 odd, 37, 43, 53
M 5/7 Rev Set 8 due Th; p 141-142: 1-21 odd, 28 (Vers 3, p 137 1-21 odd, 24)
T 5/8 p 142: 25-35odd, 41; p 148: 1,2
W 5/9 3.5 Calc Quiz through 3.5
Th 5/10 p
148-151: 6,9-17 all, 19
Th 5/10 p
148-151: 6,9-17 all, 19
F
5/11 p 148-151: 20-25,27,29 due Tues; Rev Set 9 due T 5/22
M
5/14 contine
T
5/15 Rev Quiz 5,6 p 152-153: 2,6,10,14,18,22,26,28-36evens due Th
W 5/16 Continue
working
Th 5/17 p 152-153: 38-44 evens,
50,52,54,59,61,64,65
F 5/18 Review & outline
M 5/21 Ch 3 Test
T 5/22 discuss Set 9
W 5/23
Th 5/24
F 5/25 Final
T 5/29
W 5/30
final
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