| Jan 4 |
Introduction |
|
| Jan 6 |
Parametrized curves: examples |
0106.pdf |
| Jan 9 |
Derivative of vector-valued functions; arc length |
0109.pdf |
| Jan 11 |
arc length; reparametrization by arc length |
0111.pdf |
| Jan 13 |
curvature |
0113.pdf |
| Jan 16 |
More on curvature; motion |
0116.pdf |
| Jan 18 |
acceleration; quiz |
0118.pdf |
| Jan 20 |
Kepler's 1st and 2nd law |
0120.pdf |
| Jan 23 |
Vector fields |
0123.pdf |
| Jan 25 |
Line integrals (functions) |
0125.pdf |
| Jan 27 |
More on line integrals |
0127.pdf |
| Jan 30 |
Line integrals (vector fields) |
0130.pdf |
| Feb 1 |
Fundamental thoerem for conservative fields |
0201.pdf |
| Feb 3 |
Criteria for conservative vector fields |
0203.pdf |
| Feb 6 |
More about vector fields with non simply connected domain |
0206.pdf |
| Feb 15 |
More on finding potentials; Green's theorem |
0215.pdf |
| Feb 17 |
Green's theorem; computing areas |
0217.pdf |
| Feb 27 |
More on Green's theorem |
|
| Mar 1 |
Curl and divergence |
0301.pdf |
| Mar 3 |
Parametrization of surfaces |
0303.pdf |
| Mar 6 |
Tangent plane; surface area |
0306.pdf |
| Mar 8 |
Examples of surface area computations |
0308.pdf |
| Mar 10 |
Surface integrals of functions |
0310.pdf |
| Mar 13 |
Orientation of surfaces; flux integral |
0313.pdf |
| Mar 17 |
examples of flux integrals |
0317.pdf |
| Mar 20 |
Stoke's Theorem and induced orientations |
0320.pdf |
| Mar 22 |
Stoke's Theorem examples and applications |
0322.pdf |
| Mar 24 |
Examples |
0324.pdf |
| Mar 27 |
Divergence theorem |
0327.pdf |
| Mar 29 |
Divergence theorem with cavities; outlook |
0329.pdf |
| Mar 31 |
Review |
Summary and strategies,
Surface integrals,
Problem with Stoke's Theorem,
Some paramatrizations,
Problem with Divergence Theorem
|
| Apr 3 |
Review |
| Apr 5 |
Review |