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Date Intro
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Les Nbr
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Sec |
HW Pag
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[Examples] and Exercises (in Stewart's 5th edition - e.t.) |
Topics
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| Jan | JANUARY | ||||
| 28M |
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5.5a
4.4 |
406 304 |
[1-6] 3,7,9,11,15,17,27,29 [1,4] 5,9,11 [2,3,5,6] 15,17,23 |
integ w/subst'n - I L'Hospital's rule |
| 30W |
2
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5.5b
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406 | [1-6] 1,5,13,19,21,23,25,29,31,33,35,37,43 |
integ w/subst'n - II
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| 31R | 3 |
Ap E
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A38
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[1] 1,3,5,7,9
[2] 11,13,15,17,19 [3-4] 21,27,29 [5-6] 31,41b! [7] 43
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sum notation |
| Feb | FEBRUARY | ||||
| 1F |
4
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5.1
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364 | [1-2] 1,3 [4]11,13,15 [3]17,19 |
areas and distances
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| 4M |
5
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5.2a
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376 |
[2] 1,7 [1] 17,19
[3] 21,25,27
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def int Ln, Rn, Tn
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| 6W |
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5.2b
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376 | [4] 35,39 [5] 9 [6] 43 [7] 47 [8] 45? (Lec 7) |
midpoint; properties
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| 7R |
7
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5.3a
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387 |
[1] 1,3 [2-3]
5,7,9,11 [4] 13,15
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FTC part 1
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| 8F |
8
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5.3b
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387 | [5-8]18,23,31,39,51 [9]43,45 []65, exact area only: 43,45 |
FTC part 2
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| 11M |
9
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5.4
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397 | [3] 21,23,35,47 [5] 27,31,37,43 [6] 57,59 [7] 49,47,35 |
definite integ; chg
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| 13W | 10 | 5.5c | 406 | [7-8] 51,53,55,75 [9] 57,67 | substit def integrl |
| 14R |
11
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5.5d
Ap G |
406 A56 |
[10-11] 57,59,73 [1] 1,3 [] 5 |
symmetric integrls
ln def by def integ |
| 15F | 12 | 6.1 | 420 | [1] 1,5,7 [2] 9,11 [3]37Maple [4] 42 [5] 17,23 [6] 3,19 []29 | area between curves |
| 18M | 13 | 6.2 | 430 | [1] [2] 1,3 [3] 5 [4] 7 [5] 11 [6] 15 [7-8] 41,45,51 | vol: discs, washers |
| 20W | 14 | 6.3 | 436 | 1,3,5,9,11,15,21,28(Ans=332Pi) | vol of cyl by shells |
| 21R | 15 | 6.4? | 441 | [1] 1 [2] 3,5 [3] 7,9 [4] 13,15?,17? [5] 19?, 21? | work |
| 22F | 16 | 6.5 | 445 | [1] 1,3,5,9,15,17,19 [2] 13 [3] | average value of fn |
| 25M | R1 | Review 1 (see web page) | |||
| 27W | T1 | Test 1 | |||
| 28R | 17 | 7.1 | 457 | [1] 3,5,19,23,33,29 [2]11,15,27 [3]7,39,19,25 [4] [5] | integration by parts |
| 29F | 18 | 7.2 | 465 | [1] 1 [2] 5 [3] 7 [4] 9 [5] 27 [6] 29 [7] [8] [9] 43 | trigonometric integ |
| Mar | MARCH | ||||
| 3M | 19 | 7.3a | 472 | [1, 2] 7,11,15 [3] 9,3,19 [4]17,21 | trigonometric subst |
| 5W |
20
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3.11 7.3 b |
259 472 |
[1] 1,3,5,7,9,15,17,21 [2] 31,33 [4,5] 43v [5] 1,5,13 [6] 31 [7] |
hyperbolic func's
substitution |
| 6R | 21 | 7.4 | 481 | [1] 7,9 [2-3] 1a, 9 [4] [5] [6] 5a [9] 39 | integrating ratnl fn |
| 7F | 22 | 7.7 | 505 | [1-3] 3,5,19 | compare approx integ |
| 10M |
23
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7.8a
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515 | [1] 3,5,9,15,17,19,21? [2] 7 [3] 11,13,23,25 [4] |
unbdd intervals
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| 12W |
24
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7.8b
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515 | [5-8] 1,27,31,33 [9-10] 49,51,53,55 |
unbdd integrands
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| 13R | 25 | 8.1 | 530 | [1-4] 1,3,5,7,13,17?,41 | arc length |
| 14F |
26
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8.2
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537 | [1-3] 1,3,5,7,9,11,13 |
area surf rev L20?
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| ---- | SPRING VACATION | ||||
| 24M | R2 | Review 2 (see web page) | |||
| 26W | T2 | Test 2 | |||
| 27R | 27 | 11.1a | 684 | 1 [1]3,5,7 [2]9,11,13 [3]49 []17 [4] 9,31 [5] 33,37,39,51 | sequences |
| 28F | 28 | 11.1b | 684 | [6] 27,43,65 [7] 25,35 [8] 39,45,53 [9] 19 [10-11] 61,65 | sequences |
| 31M | 29 | 11.2a | 694 | 1 [1-2] 3,11,13,15,17,25! [3] 19 [4] 41,43 | series (geometric) |
| Apr | APRIL | ||||
| 2W | 30 | 11.2b | 694 | [5] 47,49,51 [6] 7,35 [7] 5 [8] 9,23 [9] 33 | series |
| 3R | 31 | 11.3 | 703 | 1, 3, 5, 9, 11, 15, 19, 21, 25, 27, 31, 33 | integrl test; est sum |
| 4F | 32 | 11.4 | 709 | 1, 3, 5, 7, 9, 11, 15, 17, 21, 23, 27, 31, 37 | comparison tests |
| 7M | 33 | 11.5 | 713 | 1, 3, 5, 7, 11, 13, 15, 23, 25 | alternating series |
| 9W |
34
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11.6a | 719 | 5, 7, 11, 13, 17, 21, 23, 29 |
absolute convergnc
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| 11F | 35 | 11.6b | 719 | 1, 3, 9, 13, 17, 19, 21, 31, 33 | ratio & root tests |
| 14M |
36
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11.7
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722 |
1, 3, 5, 7, 9, 11, 13,
17, 31, 33, 35, 37
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strategy to test ser
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| 16W | R4 | Review 3 (see web page) | |||
| 17R | T3 | Test 3 | |||
| 18F | 37 | 11.8a | 727 | [1,3,4] 3,5,7,9,11,13 | power series at 0 |
| 21M | 38 | 11.8b | 727 | [2,5] 15,17,19,21,23 | power series not at 0 |
| 23W | 39 | 11.9a | 733 | [1-3] 3,5,7,9,11 | rep fn as pwr ser |
| 24R | 40 | 11.9b | 733 | [4-8] 13,15,17,27,35,39 | diff & integ of P.S. |
| 25F | 41 | 11.10a | 746 | [1,4] 5,7,9,11 [5,6] 29,31,33 | McLaurin Series |
| 28M | 42 | 11.10b | 746 | [2] 21,23 [3,7] 13,15,17 [8] 47 [9] 55 [10] 59? | Taylor Series |
| omit |
43 |
11.10c 11.11 11Rev | 746 755 760 |
[8] use the binomial theorem to work 5,25,27,35 [1-2] 13a,17a, 27 47,53 |
binomial theorem appl of Taylor poly binomial series |
| 30W | 44 | 9.1 | 571 | [1-2] 1,2,3,5,7,9,11 | modeling w/ODE |
| omit | 45 | 9.2? | 578 | Use Maple? MapDifEq.htm [0-2] 1,2,5 [3-4] 19a | direct'n fields; Euler |
| May | MAY | ||||
| 1R |
46
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9.3a
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586 | [1-4] 1,3,9,11,13,15,17 |
separable equatns
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| 2F |
47
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9.3b 9Rev |
586 616 |
[5] 27,29,31,32? 13, 14? |
orthogonal curves
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| omit | 48 | 3.8 | 239 | [1-2] 1,3,5 [3-4] 9,11,17? [5] 19(a)vi, 19(b) | exp growth, decay |
| 5M | R4 | Review 4 (see web page) | |||
| 7W |
T4
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Test 4
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| 8R | 49 | 7.5 | 488 | [1-4] 1,3,5,7,13,15; 25,29,35?,37,43 | strategy for integ |
| 9F | R9 | Rev | REVIEW FOR THE FINAL EXAM (see web page) | ||
| T9 | Final | FINAL EXAMINATION in the same room 8:00 am |