MAD 2104 Midterm: MAD 2104 FIU Exam 310k
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Prof. s. hudson: [30pts] answer each part with true or false . You do not have to justify your answers. The sum of an irrational number and a rational number is an irrational number. The product of 2 irrational numbers is an irrational number. An 8x8 chessboard missing the ne and sw corners can be tiled with dominoes. The set q of rational numbers is countable: [20pts] give an example of f : n n which is onto but not 1-1. For maximum credit give a formula for f (otherwise, a picture or rule may be ok). Explain brie y why it is not 1-1: [25pt each] choose two proofs, not all three. For maximum credit, use a mix of sentences and formulas arranged into paragraph(s), like most of the proofs given in class. Remarks and answers: the average was 67, which is pretty normal. D 50-59: t f f t f t. the results were pretty good.
