MATH 300 Midterm 2 (Tuesday November 15 in class) Sections covered: 1.1-1.6, 2.1-2.5, 3.1-3.4, 4.1-4.2. The test will focus on sections: 2.5, 3.1-3.4, 4.1-4.2. Advice for studying: 1) Read the book under the assumption that everything is wrong, and let the author convince you that his claims are in fact true (but look out for errors!). 2) Examples: check that they are done correctly -- if they don't make sense then you might have misunderstood the statement of a theorem or definition. Go back and read it carefully again. 3) When writing solutions / proofs: * What you write should be an essay with rigorous mathematical content. * Use the skeletons from class. * Make sure everything you write about has been introduced. For example, say what "x" is before you start making claims and/or conclusions about it. For example, if you know that an existence quantifier statement is true and you wish to take advantage of this, then CHOOSE an element of the kind that is guaranteed to exist by the statement, so that you can continue to work with this element. But avoid introducing symbols in ways that don't make sense. For example, it does not make sense to say "Let forall x in N". 4) Make sure you know how to do the homework problems and the problems from the first midterm to perfection. Best of luck to all! Anders