MATH137 Lecture : MATH137 Fall 2013

• School: University of Waterloo
• Department: Mathematics
• Course: MATH137
• Professor: Sean Speziale

Document Summary

Advising hours: monday, wednesday at 12:00-13:30, mc 4023. Office hours: starts week 3, details tba ;wip. Q = , p z, q z p q. Irrational numbers: cannot be expressed as ratio, non-terminating and non-repeating decimal expansions - , and irrationals; any number with decimal expansion as opposed to. Inclusive (closed) interval from a to . b (a, b] Left exclusive (left open) interval from a to , not including a b. Right exclusive (right open) interval from a to , not including . b b and (a, b) is an element of x (a, b) x. Infinity can be used as an interval endpoint, but is always excluded as it is a limit, not a number: {x r | a < x < b} If and only if; first implies second, and second implies first. Isolate x : 5 < 3x 9. When x > 0, 1 < 2x, x 0, then x >