Index of handouts for MAT 370/371:
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Handouts directory listing

See also Handouts and slides for MAT 300 Mathematical structures which contains some related info for logic (predicates, quantifiers), induction, (equivalence) relations and functions, and some intro to the real numbers.   General Some guidelines and suggestions for writing proofs. Real numbers, convergence and limits, continuity The Peano Axioms (.pdf). (also as .ps, .doc) (fall 2000) The Real Number Axioms (.pdf). (also as .ps, fall 2000) Constructing the reals (.pdf). (also as .ps, .doc) (fall 2000) Towards the sup-axiom: sqrt(2), exp(1) etc. (sprg 2004, revised fall 2004) See also sqrt2.mws in section 5.b in MAPLE index. Compare choices in analyzing seq to exp(1) (fall 2004) Sqrt(2) exists as a real number. (type-ohs corrected January 2005) Limit points of sequences of limit points. (fall 2004) Limits of functions via sequences: A commented worked example. (spring 2005) Cauchy sequences: Definitions (sprg 2004) / limit points (sprg 2005) Uniform continuity: Bare-handed calculation in example. (fall 2004) Continuous extension of bounded function. (fall 2004) Looking far ahead: Continuous extension. (fall 2004) Only for the most adventurous Cont + comp implies unif cont (fall 2004)