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M4005 Geometry

April 5, 2006

Complex numbers (continued).

The central theme in high school Algebra I is the equation y = mx+b and its numerous interpretations (i.e., as a "linear function", as the equation for a line, etc.). All these interpretations involve viewing m and b as real constants and x and y as real variables.

Question: What if m and b are taken to be complex constants and x and y complex variables? What meanings can be given to the equation then?

We worked through the handout (see Homework, below), which provided a more rigorous treatment of some things considered on Monday, and aimed for an answer to the question above.


Hand in before Wednesday April 12: solutions to all the problems on the handout above. Here is some help.