Calculus III
S1201 Section 002 Summer 2007
Time and Place:
MTWR 4:30pm-6:05pm 417
Instructor: Xinyi Yuan
Teaching
Assistant: Min Lee (enoia@@math.columbia.edu)
Office: 408 Mathematics
Office hours: Mon 3:30pm-4:40pm, 405 Mathematics
Email: yxy@@math.columbia.edu
Textbook:
Calculus Early Transcendentals, Fifth Edition, by
James Stewart
Syllabus:
Grading
The exams count
for 70% of the final grade. The division is: 40% the final and 30% midterm. No
make up exams will be given. 30% for the weekly homework.
The lowest grade of the homework will be dropped. The homework is due Monday in
class. Late homework will NOT be accepted.
Help
The Math Help Room
at 406 Math is available Mon-Fri. Graduate students will answer your questions.
|
Day |
Topic |
Section |
Homework/
Practice Exams |
|
|
Week 1 |
|
|
|
05/21 |
Cartesian
coordinates in three dimensions. |
12.1 |
12.1:6,7,17,40 |
|
05/22 |
Vectors. |
12.2 |
12.2:8,11,18,24 |
|
05/23 |
Dot product. |
12.3 |
12.3:2,8,24,27,40 |
|
05/24 |
Matrices,
determinants, cross product. |
12.4 |
12.4:2,6,12,26,30,32 |
|
|
Week 2 |
|
|
|
05/29 |
Lines and
Planes. |
12.5 |
12.5:4,10,22,26,33 |
|
05/30 |
Cylinders and
Quadric Surface Cylindrical and
Spherical Coordinates |
12.6, 12.7 |
12.7:10,20,25,26,30,56 |
|
05/31 |
Vector Functions
and Space Curves |
13.1 |
12.5:32,48,54,72 13.1:2,6,18,33 |
|
06/01 |
Derivatives and
Integrals of Vector Functions |
13.2 |
13.2:10,14,20,25,36,40 |
|
|
Week 3 |
|
|
|
06/04 |
Arc Length and
Curvature |
13.3 |
13.3:
4,10,16,18,24,40 |
|
06/05 |
Functions of
Several Variables |
14.1 |
14.1: 6, 11, 15,
30, 32 |
|
06/06 |
Review |
|
|
|
06/07 |
|
||
|
|
Week 4 |
|
|
|
06/11 |
Limits,
continuity. |
14.2 |
14.2: 7, 10, 11,
28, 37, 39 |
|
06/12 |
Partial
derivatives. |
14.3 |
14.3: 5, 16, 21, 36,
66, 83 |
|
06/13 |
Tangent planes,
linear approximation |
14.4 |
14.4: 2, 12, 19,
24, 31, 36 |
|
06/14 |
Chain rule |
14.5 |
14.5: 4, 8, 9,
22, 28, 36 |
|
|
Week 5 |
|
|
|
06/18 |
Directional
derivatives, gradient. |
14.6 |
14.6: 8, 9, 15,
23, 27, 32 |
|
06/19 |
Max and min |
14.7 |
14.7: 1, 3, 6,
11, 28, 40, 46 |
|
06/20 |
Max and min |
14.7 |
No new homework |
|
06/21 |
Lagrange
multipliers
|
14.8 |
14.8: 4, 10, 14,
18, 23, 39 |
|
|
Week 6 |
|
|
|
06/25 |
Review |
|
|
|
06/26 |
Review |
|
|
|
06/27 |
Review |
|
|
|
06/28 |
FINAL: 507
Math, 4:30-7:30pm |
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