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Readings

Read the lectures notes about the first four examples in the first section of Part 1 (examples of dynamical systems).

Homework

Due February 3

  1. Calculate 5 iterations of the linear map tex2html_wrap_inline29 with the graphical method given in class. Check your result with a numerical method.
  2. (related to tex2html_wrap_inline31 ) : Starting from a rational value tex2html_wrap_inline33 for tex2html_wrap_inline35 , show that tex2html_wrap_inline37 is also a rational number. In other words, write tex2html_wrap_inline37 as the ratio of two integers which can be expressed in terms of tex2html_wrap_inline41 and tex2html_wrap_inline43 .





Yannick Meurice
Wed Jan 27 03:07:55 CST 1999