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math105-s22:hw:hw12 [2022/04/16 09:23]
pzhou created
math105-s22:hw:hw12 [2022/04/16 09:24] (current)
pzhou
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 ====== HW 12 ====== ====== HW 12 ======
-  1. Can you verify explicitly that any closed differential 2-form in $\R^3$ is exact? +  - Following Thursday's class, can you verify explicitly that any closed differential 2-form in $\R^3$ is exact? 
      
-  2. (optional) read about Brouer's fixed point theorem in Pugh, and try Pugh Exercise 71, [[https://en.wikipedia.org/wiki/Hairy_ball_theorem | hairy ball theorem]]. +  (optional) read about Brouer's fixed point theorem in Pugh, and try Pugh Exercise 71, [[https://en.wikipedia.org/wiki/Hairy_ball_theorem | hairy ball theorem]]. 
  
  
  
math105-s22/hw/hw12.1650126224.txt.gz · Last modified: 2022/04/16 09:23 by pzhou