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Exam1 topics

Exam1 topics - Math 17 Topics for First Examination Fall...

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Math 17 Topics for First Examination Fall, 2007 The first exam will cover Chapters 1 and 2 (through § 2.5). Here is a list of items that you should know: 1. Definitions: • | x | Upper ( resp . lower) bound for an interval ( resp . sequence, set) minimum ( resp . maximum) of a set inf S ( resp . sup S ) for a set S bounded interval ( resp . sequence, set) a sequence { x k } approximates x R with accuracy ε > 0 x k x (or x = lim x k ) accumulation point of a sequence x k → ∞ ( resp . x k → -∞ ) monotone sequence (increasing, non-decreasing, decreasing, non-increasing) 2. Statements of named theorems, and how to use them: Triangle Inequality (for real numbers) Completeness Axiom Comparison Test for positive series Divergence Test for series Bolzano-Weierstrass Theorem Alternating Series Test Squeeze Theorem 3. You should be fluent in the arithmetic of inequalities and absolute values.

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Exam1 topics - Math 17 Topics for First Examination Fall...

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