Fermat's Last Theorem and Its Historical Journey

Fermat's Last Theorem and Its Historical Journey

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Olivia Brooks

FREE Resource

The transcript discusses the historical context and significance of Fermat's Last Theorem, exploring its connection to Pythagorean Triples and the development of new mathematical techniques. It highlights the role of elliptic curves and modularity in solving the theorem, culminating in Andrew Wiles' proof. The narrative emphasizes the theorem's impact on mathematics and the collaborative efforts that led to its resolution.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are Pythagorean triples?

Numbers that satisfy the equation A^2 + B^2 = C^2

Numbers that satisfy the equation A^3 + B^3 = C^3

Numbers that satisfy the equation A^4 + B^4 = C^4

Numbers that satisfy the equation A^5 + B^5 = C^5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was Fermat's claim about equations with exponents greater than two?

They have solutions only for even exponents.

They have only one solution.

They have no positive integer solutions.

They have infinite solutions.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How did Fermat's Last Theorem contribute to mathematics?

It solved all existing mathematical problems.

It led to the development of new mathematical techniques.

It proved the existence of Pythagorean triples.

It was proven incorrect by modern mathematicians.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What analogy is used to describe the impact of Fermat's Last Theorem?

Building a skyscraper

Crossing the ocean

Inventing the wheel

Going to the moon

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Who realized the connection between Fermat's Last Theorem and the modularity conjecture?

Gerhard Frey

Yutaka Taniyama

André Weil

Jean-Pierre Serre

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the 'epsilon' in the context of the modularity conjecture?

A mathematical constant

A small result needed to prove the conjecture

A large number

A type of elliptic curve

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What was the narrator's role in the journey to proving Fermat's Last Theorem?

He discovered the first counter-example.

He disproved Fermat's Last Theorem.

He proved the general case of the modularity conjecture.

He proved a special case of the modularity conjecture.

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