Review of Test 2
The history of science demonstrates that precision in the fundamental ideas develops slowly, and is then crystallized – at least in mathematics – in precise definitions. These then play an important role in developing the subject further, so that in studying, mastery of the definitions is an essential step. Tests illustrate this: to get started, we must know the precise definitions, and if we know the definitions, a simple calculation will often bring us to a solution.
Now Danilo will show us his solution to the first problem, Katie hers to the third, and Omer his to the second.
DANILO: (1) Suppose and that a has