Transcription of MAT137 Lecture Notes - Tyler Holden
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MAT137 Lecture Notes - Tyler Holden
MAT137 Lecture NotesTyler Holden ,c 2014-2015 Contents1 Logic and Sets and notation .. Fundamental Logic .. , Then .. and the Contrapositive .. Definitions and Theorems .. and Proofs .. Induction .. 162 A Quick Primer on Absolute Values .. Definition .. Measure of Distance .. Limited Intuition .. Waving Arguments .. Of epsilons and deltas .. of Limits .. Limits at Infinity .. Continuity .. The Squeeze Theorem .. The Value Theorems .. Value Theorem .. Value Theorem .. 5013 First Principles .. of Differentiability .. Some Derivative Formulas .. Product Rule .. Derivatives .. Derivatives .. Rates of Change .. Physics .. The Chain Rule .. The Inverse Trigonometric Functions .. Inverse of What? .. Inverse Trigonometric Functions.
c 2015 Tyler Holden 5. 1 Logic and Proofs 1.1 Sets and notation is the set of all months for which the end of the name of the month ends in ‘ber’. Another way we could say this, is to let Mbe the set of all months, and consider the set fx2M: xends in ’ber’g:
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