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Discrete Math section 1.1

by: Lauren Zurcher

Discrete Math section 1.1 MATH 231

Marketplace > University of Oregon > Mathematics (M) > MATH 231 > Discrete Math section 1 1
Lauren Zurcher
GPA 3.5
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About this Document

Discrete math section 1.1
Elem Discrete Math I >4
Brundan J
Class Notes
Discrete, Math, Discrete math, 1.1, 1




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This 2 page Class Notes was uploaded by Lauren Zurcher on Wednesday March 30, 2016. The Class Notes belongs to MATH 231 at University of Oregon taught by Brundan J in Fall 2015. Since its upload, it has received 10 views. For similar materials see Elem Discrete Math I >4 in Mathematics (M) at University of Oregon.

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Date Created: 03/30/16
DISCRETE MATH 231 Section 1.1 Eric Merchant: Discrete vs. Continuous Continuous: Not what is covered in this class  One smooth curve, don’t have to lift your pencil to draw the curve  Basic framework of mathematics especially in the 80s and 90s Discrete  Things aren’t arbitrarily close to each other (not continuous like the rock example)  No infinitesimals (no epsilons)  Graph is broken up, not all in a line Some Important Symbols N < Z < Q < R NOTE: they all build upon each other N = natural numbers {0,1,2,3,…n…}  Non-negative, infinite, has a starting point These are discrete… EX: x + 7 = 10  Can solve using whole numbers meaning we are only going to work on Z= Negative Numbers {-3,-2,-1,0,1,2,3,…n…} these two in this class  Both negative and positive, infinite, starting point EX: x + 7 = 2  Can only solve using negative numbers a Q = Rational numbers { b where a and b are natural numbers (Z), and b ≠ 0} These 2 3 are  4 and 6 are the same fraction continuo  No matter how close the fractions are, there is always something between them. R = Everything else {π,√ 2 , x =1 } A = = “for all” (backwards E) = “there exists” EX: A lunch at a restaurant is: soup or salad and a sandwich. There are 4 soups, 3 salads, and 7 sandwiches. How many lunches are possible? Note: these have to be a natural number (only whole foods) # of all lunches = # soup lunches + # salad lunches 49 (4*7) (3*7) soup 4 + x 7 Sandwic sala 3 d h Rule of addition: if a process can be completed via A or B and if there are n choices for A, m for B, the process can be completed m + n ways Rule of multiplication: if a process is A and B…. can be completed m*n ways


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