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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 | 1a |
12.1
|
797 |
1,
3 [2] 5 [3] 7, 9a [4] 11 [5] 15 [6] 27, 29, 31, 33
|
3-d
coordinates
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| 30W | 1b |
12.2
|
805 |
1,
3 [1] 7, 9 [2] 13, 15, 17 [3] 19, 21 [4] 23, 25 [5] 31? 33?
|
vectors
|
|
31R |
2a |
12.3a
|
812 |
1
[1] 3, 5 [2] 9 [3] 15, 19 [4] 23, 25, 27 [5] 33, 35
|
dot product, angle
|
| Feb | FEBRUARY | ||||
|
1F |
2b |
12.3b DET |
812 1-2 |
[6] 39, 41, 43 [7] 49, 51; 37, 47 Exercises 1, 2 |
projection, work determinants |
|
4M |
3a |
12.4
|
820 |
[1-2]
1, 3, 5, 7, 9, 11, 13 [Thm5] 15!, 17, 19
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cross product
|
| 6W | 3b |
12.4 |
820 |
[3] 23,25,27 [Eq11] 29, 31 [4] 33! [5] 35,37 |
area, volume, torque |
|
7R |
4a |
12.5 |
829 |
1 [1] 3 [2] 7 [3] 17 [4] 19, 21, 5 [1] 27 [5] 31 |
eqns of lines, planes |
|
8F |
4b |
12.5 |
829 |
[6] 39,41,15 [7] 45, 47, 55, 57? [8] 65 [9] 63 [10] 67 |
points, lines, planes |
|
11M |
5 |
12.6 |
837 |
[1] 1 [2] 3, 5, 7 [3] 11 [4] 17 [5] 19 [6] 9 [7] 13? [8] 31,15 [] 41 Maple 37, 39 |
cylinder, quadric surf |
|
13W |
6a | 10.3 | 677 |
[1]
1 [2] 3 [3] 5 [4] 7, 11 [6] 35, 31, 17, 19 [] 21, 23, 25
|
circular coordinates
|
| 15F | 6b |
12.7
|
842 |
[1]
3, 9 [2] 31, 37, 41 [4] 13 [5] 19 [6] 43 [7] 45
[3,6]
49, 51, 53, 55
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cylindrical and
spherical coordinates
|
| 18M | 7 |
13.1
|
855 |
[1]
1 [2] 3 [4] 7 [5] 15, 17 [6] 9, 11
|
vector-valued
fn, 3-d curve
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| 20W | 8a |
13.2
|
861 |
[1]
1, 3, 5 [1,2] 9, 11, 15, 19 [3] 23 [4] 29
|
tangent
vector
|
| 21R | 8b |
13.2
|
861 |
[6]
33, 35, 37, 39 [5] 41! 43, 45, 47, 49? [] 31?
|
differentiation
rules, integ
|
| omit | 9a |
13.3
|
868 |
[1] 1, 3 [2] 9, 11 [3] 13,
15, 29
|
arc
length & curvature
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| 22F | 10a |
13.4
|
878 |
1!
[1] 3,5 [2] 7, 9, 11, 13 [3] 15, 17a, 19 [4-] 21
|
3-d
motion, velocity, acceler
|
| omit | 9t |
13.3 13.4 |
868 878 |
[4] 19 [5] 23 [6] 39 [3] 47 [5-] 23 [6-] 29, 31, 33 |
arc length & curvature 3-d motion, velocity, acceler |
| 25M | 11a |
14.1
|
897 | [1] 1, 33 [2] 5 [3] 3 [4] 7, 9 [7] 71 [8] 11 |
graph
scalar funs of 2 var
|
| 27W | 11b |
14.1
|
897 |
[5-6] 21,
23, 25[9-13] 31, 35, 37,
47 [14-15] 59, 61
|
level
curves
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| 28R | R1 |
|
REVIEW 1
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|
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| 29F | T1 |
|
TEST 1
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|
|
| Mar | MARCH | ||||
| 3M |
12
|
14.2
|
908 |
1,
3? [1-5] 5, 7, 9, 11, 13 [6-9] 23, 27 [] 37, 39 Maple 21, 25, 40
|
limits
& continuity
|
| 5W |
13a
|
14.3
|
919 | 1, 3 [1-4] 9, 11, 13, 15, 31, 33, 37, 39, 41, 43, 45 |
partial
derivatives
|
| omit |
13b
|
14.3
|
919 |
[5] 37 [6]
41, 47, 51, 79[7] 55, 57 [8]
67, 69, 71
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partial
derivatives
|
| 6R |
14a
|
14.4
|
930 | [1] 1,3 [2] 11,13,17,19 [3] 21 |
tangent plane;
affine appr
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| 7F |
14b
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14.4
|
930 | [4] 23, 25, 27 [5] 31,33 [6] 37 |
total differential
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| 10M |
15a
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14.5
|
938 |
[1]
1, 3 [2] 13, 39, 41, 35 [3] 7, 9 [4] 15
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chain
rule,
dx=0, dy=0
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| 12W |
15b
|
14.5
|
938 |
[5]
19, 21 [6,7] 47, 51, 53 [8] 25 [9] 29
|
chain
rule,
dx=0, dy=0
|
| ---- | SPRING VACATION | ||||
| 13R |
16 |
14.6 |
950 |
[1] 1 [2] 5 [3]7,9 [4] 11,13 [5] 19 [6] 21 [7] 31,33 [8]37,39 |
directional deriv & grad |
|
14F |
17a
|
14.7
|
961 |
[1-4]
1, 3, 5, 7, 11, 17?
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max,
min, saddles
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| 24M |
17b
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14.7
|
961 |
[5]
37, 41 [6] 49, 47 [7] 27, 29, 33
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abs
max, min
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| 26W |
18
|
15.1
|
988 |
[1-2]
1, 3 [3-4] 5, 7! 9, 11, 13, 15? 17 [5-9]
|
double
integ on rectngls
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| 27R |
19
|
15.2
|
994 |
1
[1] 3, 5 [2-3] 13, 15 [4] 21, 23, 25, 29
|
iterated integrals |
| 28F |
20
|
15.3
|
1002 |
[1-4]
1, 3; 7, 9, 15, 17; 19, 21, 27, 57, 37, 39, 41 [6] 51
|
double
integ on genrl reg
|
| 31M |
21
|
15.4
|
1008 |
[1]
1, 3, 5, 9, 13 [2,4] 21, 23, 25 [3] 17, 33
|
double
integ circ coor
|
| Apr | APRIL | ||||
| 2W |
22
|
15.5
|
1018 |
[1]
1 [2] 3, 5 [3] 7, 9, 11 [Lecture 24] 25
|
density,
mass, moments, centers, expected value
|
| 3R |
23
|
15.6
|
1022 |
[1-2]
1, 3, 5, 7, 9, 11, 15a, 23
|
surface
integ of smth fn
|
| 4F |
R2
|
|
|
REVIEW 2
|
|
| 7M |
T2
|
|
TEST 2
|
|
|
| 9W |
24
|
15.7
|
1030 |
[1]
1, 3, 5 [2-4] 9, 15, 21, 25 [5] 33, 37 [] 45
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triple
integ in rectang coord
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| 14M |
25
|
15.8
|
1037 |
[1-2]
1, 5, 7, 13, 33 [3-4] 3, 17, 23, 25, 35 [] 29
|
triple
integrals in cyl & spher coord
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| 16W |
26a
|
15.9
|
1048 |
[1-2]
1, 3, 5; 7, 9 [3] 11
|
substitut'n
in multiple integ
|
| 17R |
26b
|
15.9
|
1048 |
[3]
13, 15, 19, 21 [4] 17
|
substitut'n
in multiple integ
|
| 18F |
27
|
16.1
|
1060 | [1-5] 1, 5 [6] 21, 23, 25; 29 [] 33 |
vector
fields
|
| 21M |
28
|
16.2
|
1071 | [1-4] 1,3,5? 7,17 [5-6] 11,15?,17,33a [7-8] 37? 41,43,45 |
line
integrals
|
| 23W |
29
|
16.3
|
1081 |
[1-5] 1, 3, 5, 11, 13, 19, 21, 23, 27; 29, 31, 33
|
FTC
for line integrals
|
| 24R |
30
|
16.4
|
1089 |
[1,2,4]
1, 3, 7, 9, 11, 13 [3] 19, 22, 23? [5] 15, 17
|
2-d
forms of Green's Thm
|
| 25F |
31a
|
16.5
|
1096 |
[1-3]
1a, 3a, 5a, 9b 11?, 12abdei, 13, 21 [] 31
|
curl;
Green's Thm
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| 28M |
31b
|
16.5
|
1096 |
[4-5]
1b, 3b, 5b, 9a 11?, 12cfghjkl [5] 19 [] 25, 33?
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div;
Green's Thm
|
| 30W |
32
|
16.6
|
1106 |
[1,3-7]
1, 3; 11, 13? [9] 31, 33 [10-11] 35, 41, 43
|
parametrized
surf & areas
|
| May | MAY | ||||
| 1R |
33
|
16.7
|
1119 |
1
[1]5,7,(9),13,(15)? [2-3]17 [4-6]19,21,23,25 []35,41, 43
|
parametrzd
surf integ
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| 2F |
R3
|
|
REVIEW 3
|
|
|
| 5M | T3 | TEST 3 |
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||
| 7W | 34 |
16.8
|
1125 | [1-2] 1, 3, 5; 7, 11; 13, 17 |
Stokes'
theorem
|
| 8R | 35 |
16.9
|
1132 | [1-2] 1? 3, 5, 7, 9, 11, 23, 25 |
Gauss'
theorem
|
| ???? | 36 |
16.8-9
|
§16.8
(p1125) Ex 9,15,17; §16.9 (p1132) Ex 13,19,21,27
|
Stokes'
& Gauss' Thm
|
|
| ???? |
37 |
14.4 14.6 14.7 16.2 16.3 16.4 16.7 16.8 16.9 |
930 950 961 1071 1081 1089 1119 1125 1132 |
[6] 25,31 [8] 43 [3] 19 [5] 39 [4-5] 15 [1,2,4] 17 [5] 19,15,39 [1-2] 15 circulation [1-2] 15 flux |
total differentials plane tangent; line normal local extremes & saddles line integrals FTC for line integrals 2-d forms of Green's Thm Flux across a surface Stokes' Theorem Gauss' Theorem |
|
9F |
R9 | Rev |
REVIEW FOR THE FINAL EXAM
(see web page)
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| T9 | Final | FINAL EXAMINATION in the same room 8:00 am |