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0:06:06

Omega example: Polynomial with some negative coefficients

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Omega example: Polynomial whose coefficients are all non-negative

0:04:12

Proof that f is O(g)

0:01:26

Intro: Proposition manipulation activity

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Inductive step of proving an inequality by induction.

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Inductive step of proving an identity with induction.

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Counting the number of ways to distribute identical items to different people

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Counting the number of ways to distribute identical items to different people

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Counting the number of ways to distribute identical items to different people

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Encoding selections of fruit

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Encoding selections of fruit

0:01:45

Counting solutions to variables with a fixed sum

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Counting the number of ways to place identical balls in distinct bins

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Translate to logical expression: Someone who did not read the proposal, voted in favor of it.

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Translate to logical expression: Someone did not read the proposal and someone voted in favor of it.

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Translate to logical expression: Everyone who read the proposal voted in favor of it.

0:04:14

Proof by contrapositive example

0:03:19

Proof by cases example: Three mutual friends/enemies theorem

0:03:52

Brainstorming and proving with proof by contradiction