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Thursday, August 16, 2018

Problem of the Week 08-16-18: Nullspace of a Matrix [Linear Algebra]

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Solution:



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Thursday, August 9, 2018

Problem of the Week 08-09-18: Logarithmic Differentiation [Calculus]

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Thursday, August 2, 2018

Problem of the Week 8-02-18: Double Integral [Calculus]

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Solution below:



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*Edit: there is not suppose to be a constant of integration at the end since this is a definite integral.

Wednesday, August 1, 2018

The Fields Medal

Today, Peter Scholze, Caucher Birkar, Alessio Figalli, and Akshay Venkates won the Fields Medal- the highest honor a mathematician can receive

To celebrate their victory, we compiled a list of important facts about the award:

1. The Fields Medal is awarded to two, three, or four mathematicians under the age of 40.
Image result for fields medal
The Fields Medal

2. It has been awarded every four years since 1950 at the International Congress of Mathematicians. 

3. The award “recognizes outstanding mathematical achievement for existing work and for the promise of future achievement.” 

4. An individual cannot win a Fields Medal more than once.

5. Many describe the Fields Medal as the mathematician's "Nobel Prize."

6. There is a monetary award of about $15,000 Canadian dollars.

7. The award is named after Canadian mathematician John Charles Fields.
Image result for john charles fields
John Charles Fields

8. Finnish mathematician Lars Ahlfors and American mathematician Jesse Douglas were the first recipients in 1936.

9. Maryam Mirzakhani became the first woman to win the Fields Medal in 2014

10. Jean-Pierre Serre became the youngest recipient at the age of 27. 

11. In 2006, Grigori Perelman, refused his Fields Medal. He said, "I'm not interested in money or fame; I don't want to be on display like an animal in a zoo.”

12. So far, 4 mathematicians under the age of 30 have won.

Source: 

Thursday, July 26, 2018

Problem of the Week 7-26-18: 2nd Order Nonhomogenous Linear Differential Equation [Differential Equations]

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Solution below:


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