What we do Today! a. Pick up your last week work and mark it (5 min) - - PowerPoint PPT Presentation

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What we do Today! a. Pick up your last week work and mark it (5 min) - - PowerPoint PPT Presentation

Mar 14, 2024 215 likes •320 views

What we do Today! a. Pick up your last week work and mark it (5 min) b. You will receive 3 samples, mark them, and give feedbacks: rank them (25 min) c. Submit the feedbacks d. Revise and edit your last week work, we mark that one (10 min).

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SLIDE 1

What we do Today!

  • a. Pick up your last week work and mark it (5 min)
  • b. You will receive 3 samples, mark them, and give

feedbacks: rank them (25 min)

  • c. Submit the feedbacks
  • d. Revise and edit your last week work, we mark that one

(10 min).

  • e. Teaching: Review and Rational and irrational numbers (15

min).

  • f. On boards: Show that 2, 7/6, 2/12 are rational and 21/2 is

irrational.

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SLIDE 2

PR FS

Welcome back to Problems, Conjectures and Proofs (MATH 1200)

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SLIDE 3

Outline

  • Directed Proof
  • Contrapositive
  • Counterexample (disprove)
  • Contradiction
  • Rational and Irrational Numbers
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SLIDE 4

Directed Proof

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SLIDE 5

Contrapositive

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SLIDE 6

Counterexample (disprove)

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SLIDE 7

Contradiction

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SLIDE 8

Rational and irrational

A real number of the form m/n, where m and n are integers and gcd(m,n)=1, is called a rational number. We write Q for the set of all rational number. If a real number is not a rational number, it is a irrational number.

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SLIDE 9

On boards:

Show that 2, 7/6, 2/12 are rational and 21/2 is irrational.