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Required reading. All of Spivak's Chapter 6.
To be handed in. From Spivak Chapter 6: 1(i)-(iii), 3, 12, 14
Recommended for extra practice. From Spivak Chapter 6: 1(iv), 4, 10, 13, 16 parts (a) through (c).
Just for fun. Solve Spivak's problem 16 parts (d) and (e) and also the following problem:
Problem. Could there be a non-constant continuous function defined on the entire ``unit'' interval , which is constant on certain open subintervals of whose total length is exactly equal to ? (Obviously, I wouldn't be asking this question if the answer wasn't ).