Discrete mathematics classroom activities
Download
1 / 18

Discrete Mathematics Classroom Activities - PowerPoint PPT Presentation


  • 161 Views
  • Updated On :

Discrete Mathematics Classroom Activities. Richard Anderson University of Washington. Draw a picture of yourself. Inclusive or exclusive?. Coffee or tea comes with dinner A password must have at least three digits or be at least eight characters long.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Discrete Mathematics Classroom Activities' - tanisha


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Discrete mathematics classroom activities

Discrete MathematicsClassroom Activities

Richard Anderson

University of Washington

IUCEE: Discrete Mathematics



Inclusive or exclusive
Inclusive or exclusive?

  • Coffee or tea comes with dinner

  • A password must have at least three digits or be at least eight characters long.

  • To take discrete mathematics, you must have taken calculus or a course in computer science.

  • You can pay using US Dollars or Indian Rupees.

e, I, I, either


Rewrite in the form if p then q in english
Rewrite in the form “if p then q” in English:

It is necessary to walk 8 miles to get to the top of Long’s Peak.

IUCEE: Discrete Mathematics


Translate into logic do not use uniqueness operator
Translate into logic Do not use uniqueness operator

Everyone has exactly one best friend

IUCEE: Discrete Mathematics


Translate into logic
Translate into logic

There is some restaurant that serves some food that everyone likes

IUCEE: Discrete Mathematics




Discrete mathematics classroom activities

If a club has 25 members how many ways are there to choose the president, secretary, and treasurer, where no person can hold more than one office?


Suppose that e and f are events such that p e 0 7 and p f 0 5 show that p e f 0 7 and p e f 0 2
Suppose that E and F are events such that p(E) = 0.7 and p(F) = 0.5. Show that p(E  F)≥0.7 and P(E  F)≥0.2


Is r reflexive symmetric antisymmetric transitive if
Is R reflexive, symmetric, antisymmetric, transitive, if p(F) = 0.5. Show that p(E

  • R = {(x,y) | xy ≥ 1}

  • R = {(x,y) | x and y are both negative or both nonnegative}

  • R = {(x,y) | x ≥ y2}


What is the contrapositive of if all cycles of g have even length then g is bipartite
What is the contrapositive of p(F) = 0.5. Show that p(E “if all cycles of G have even length, then G is bipartite”


Prove that a directed graph of n diamonds has 2 n paths from s to t
Prove that a directed graph of n diamonds has 2 p(F) = 0.5. Show that p(En paths from s to t

t

s





How many edges does m n m have
How many edges does M p(F) = 0.5. Show that p(En,m have?