| We ek |
Date | Lec- ture |
Contents |
| 1 | 1231 |
||
| 0102 | L01 |
outline §13.1 vector functions |
|
| 0104 | L02 | §13.1 space curves |
|
| 2 | 0107 | L03 | §13.1 more examples §13.2 derivatives and tangent vectors |
| 0109 | L04 | §13.2 differentiation rules, integrals, length of a curve |
|
| 0111 | L05 | §13.3 arclength function and reparametrization using it, curvature |
|
| 3 | 0114 | L06 | §13.3 more on curvature, normal and binormal vectors,
normal and osculating planes |
| 0116 | L07 | §13.3 osculating plane and osculating circle |
|
| 0118 | L08 | §13.4 motion in space (materials beyond Example 6 are
skipped) |
|
| 4 | 0121 | L09 | §16.1 vector fields |
| 0123 | L10 | §16.2 line integrals with respect to arclength |
|
| 0125 |
L11 | §16.2 center of mass, line integrals with respect to x and
y |
|
| 5 | 0128 |
L12 | §16.2 line integrals in space and of vector fields |
| 0130 |
L13 | §16.3 When a line integral of vector field is independent of
path |
|
| 0201 |
midterm exam 1 | ||
| 6 | 0204 |
L14 | §16.3 Equivalent statements of conservative vector
fields |
| 0206 |
L15 |
§16.3 necessary and sufficient conditions
in terms of partial derivatives |
|
| 0208 |
L16 | §16.3 finding
potential function
§16.4 Green's theorem: statement and proof
|
|
| 7 | 0211 |
Family Day | |
| 0213 |
L17 | §16.4 examples for Green's theorem |
|
| 0215 |
L18 | §16.4 more examples §16.5 algebraic definition of curl F |
|
| 0218-0222 | |
midterm break | |
| 8 | 0225 |
L19 | §16.5 algebraic definition of div
F, geometric meanings |
| 0227 |
L20 | §16.5 more on geometric meaning, vector forms of Green's
theorem §16.6 parametric surfaces |
|
| 0301 |
L21 | §16.6 more examples of parametric surfaces, tangent planes,
surface
area |
|
| 9 | 0304 |
L22 | §16.6 examples of surface area, area of graphs and surfaces
of
revolution |
| 0306 |
L23 | §16.7 surface integrals of scalar functions |
|
| 0308 |
L24 | §16.7 flux integral of a vector field through a surface
|
|
| 10 | 0311 |
L25 | §16.7 more examples |
| 0313 |
L26 | §16.7 more examples §16.8 Stokes theorem |
|
| 0315 |
midterm exam 2 | ||
| 11 | 0318 |
L27 | §16.8 Stokes theorem: proof and examples |
| 0320 |
L28 | §16.8 Stokes theorem: more examples |
|
| 0322 |
L29 | §16.8 Stokes theorem: more examples §16.9 Divergence theorem |
|
| 12 | 0325 |
L30 | §16.9 Divergence theorem: continued |
| 0327 |
L31 | §16.9 Divergence theorem: continued |
|
| 0329 |
Good Friday | ||
| 13 |
0401 |
Easter Monday | |
| 0403 |
L32 |
§16.9 Divergence theorem: an example of channel flow Final exam, review Final Exam of April 2010 |
|
| 0405 |
L33 |
review Final Exam
of December 2011 |
|