S17 Class 11: Index Theory

Class 11:
Before class, watch the lecture material linked below and do the activity posted on Piazza.
Post at least one question or comment on Piazza (access via Canvas or directly).  See "Check Yourself" Q1 for details.
Check yourself via the Class 11 Check Yourself on Canvas (Due by 11:59pm on Tues Feb 28)
In class, we'll work on related ideas: (activity will be posted)
After class, complete the homework (problems due Friday Mar 10th)

Video summary:
Watch Steve's entire lecture on index theory (74 min)
Book sections: 6.8, 7.0-1

V01 (St)  |  Global picture from index theory  (00:21 to 9:31)  |  9 min
V02 (St)  |  Index theory examples  (9:36 to 17:07)  |  8 min
V03 (St)  |  Useful properties of the index (17:07 to 37:30)  |  20 min
V04 (St)  |  Index of a point (37:30 to 46:43)  |  9 min
V05 (St)  |  Theorem about closed trajectories (46:43 to 55:38)  |  9 min
V06 (St)  |  Extra index theory thoughts (55:38 to 1:05:00)  |  10 min
V07 (St)  |  Intro to isolated closed trajectories: limit cycles  (1:05:30 to end)  |  8 min