| Week |
Lecture |
Section |
Description |
Information, due dates, and
HW problems |
| 1 |
8/27 |
12.1 |
Three dimensional coordinate
system |
The
week starts with a discussion session. Disc+Lab #1 |
| 8/29 |
12.2, 12.3 |
Vectors. The dot product |
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| 2 |
9/3 |
12.3, 12.4 |
The dot product. The cross product |
The week starts with a
discussion session. Disc+Lab#2 HW due Thursday |
| 9/5 |
12.5 |
Equations of lines and planes |
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| 3 |
9/8 |
12.5 |
Equations of lines and planes |
Disc+Lab#3 HW due Wednesday |
| 9/10 |
13.1, 13.2 |
Vector functions and space
curves. Derivatives and integrals of vector functions |
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| 9/12 |
13.3, 13.4 |
Arc length. Motion in space |
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| 4 |
9/15 |
13.4 + 14.1 |
Motion in space. Functions of several variables |
Disc+Lab#4 HW due Wednesday |
| 9/17 |
Quiz + 14.1 |
Functions of several variables |
||
| 9/19 |
14.3, 14.4 |
Partial derivatives. Tangent planes and linear
approximation |
||
| 5 |
9/22 |
14.4, 14.5 |
Tangent planes and linear
approximation. The chain rule |
Disc+Lab#5 HW due Wednesday |
| 9/24 |
14.6 |
Directional derivatives and
the gradient |
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| 9/26 |
14.6 |
Directional derivatives and
the gradient |
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| 6 |
9/29 |
15.1, 15.2 |
Double integrals. Iterated integrals on a rectangle. |
Disc+Lab#6 HW due Wednesday |
| 10/1 |
15.3 |
Double integrals over several regions |
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| 10/3 |
Catch-up day |
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| 7 |
10/6 |
Review |
FIRST MIDTERM EXAM at 5pm |
Disc+Lab#7 HW due Thursday |
| 10/8 |
15.4 |
Double integrals in polar
coordinates |
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| 10/10 |
16.2 |
Line integrals (1st kind) |
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| 8 |
10/13 |
16.1, 16.2 |
Vector fields. Line integrals (2nd kind) |
Disc+Lab#8 HW due Thursday |
| 10/15 |
16.3 |
The fundamental theorem for line integrals |
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| 10/17 |
16.4 |
Green's theorem |
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| 9 |
10/20 |
15.7 |
Triple integrals |
Disc+Lab#9 HW due Wednesday |
| 10/22 |
15.8, 15.9 |
Cylindrical coordinates.
Spherical coordinates |
||
| 10/24 |
15.9 + Quiz |
Spherical coordinates |
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| 10 |
10/27 |
16.6 |
Parametric surfaces and their areas |
Disc+Lab#10 HW due Wednesday |
| 10/29 |
16.6 |
Parametric surfaces and their areas |
||
| 10/31 |
16.7 |
Surface integrals (1st kind) |
||
| 11 |
11/3 |
16.7 |
Surface integrals (2nd kind) |
Disc+Lab#11 HW due Wednesday |
| 11/5 |
Catch-up |
|||
| 11/7 |
16.5 |
Curl and divergence |
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| 12 |
11/10 |
Review |
SECOND MIDTERM EXAM at 5pm |
Disc+Lab#12 HW due Wednesday |
| 11/12 |
16.8 |
Stokes theorem |
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| 11/14 |
16.8 |
Stokes theorem |
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| 13 |
11/17 |
16.9 |
Divergence theorem |
Disc+Lab#13 HW due Wednesday |
| 11/19 |
14.7 |
Maximum and minimum values |
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| 11/21 |
14.7 |
Maximum and minimum values |
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| 14 |
11/24 |
14.8 + Quiz |
Lagrange multipliers |
Discussion Tuesday. No lab. |
| THANKSGIVING (no classes
from Wednesday to Friday) |
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| 15 |
12/1 |
14.8 |
Lagrance multipliers |
Discussion
Tuesday. No lab. HW due Wednesday |
| 12/3 |
Review |
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| FINAL EXAM |
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