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Congratulations to all of the participants in the 2013 IMO.  The US team came in third place to China and South Korea.  The US team had 4 gold medals and 2 silver medals.

2013IMO

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It looks like the US team had a strong showing this year with 5 gold medals and 1 silver coming in behind Korea and China.

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combinatorics-for-undergradAlan Davis will continue his previous talk on Combinatorics with more challenging problems and concepts.  Those who missed his first talk are encouraged to attend promptly for a quick review at 2:00.

Mr. Davis will focus on the essence of the inclusion-exclusion principle with some interesting problems.

For the curious students who are eager to sharpen their problem-solving skills in Combinatorics, Mr. Davis recommends these two collections that Titu Andreescu and Zuming Feng collaborated on:

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Dr. Zuming Feng, coach of the US IMO team and author of multiple books on Olympiad problem solving, shared valuable techniques for solving the Diophantine Equations which occur frequently in problem solving contests.

The students worked through a series of increasingly difficult problems and Dr. Feng guided them through ways to leverage their number sense and algebra to limit the number of possible solutions saving them invaluable time in a contest situation.

If you missed Dr. Feng this weekend we are happy to say that he will be returning to Metroplex Math Circle on March 7th.   The video below shows Dr. Feng discussing solutions to the 2006 International Mathematics Olympiad.

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We are very fortunate to have Dr. Zuming Feng present this coming Saturday.  Among his many other accomplishments, Dr. Feng is the current team leader of the US IMO team.

Dr. Zuming Feng, Phillips Exeter Academy

Zuming Feng received his Ph.D. from Johns Hopkins University with emphasis on Algebraic Number Theory and Elliptic Curves. He teaches at Phillips Exeter Academy. Zuming also served as a coach of the USA IMO team (1997-2006), was the deputy leader of the USA IMO Team (2000-2002), and an assistant director of the USA Mathematical Olympiad Summer Program (1999-2002). He has been a member of the USA Mathematical Olympiad Committee since 1999, and has been the leader of the USA IMO team and the academic director of the USA Mathematical Olympiad Summer Program since 2003. Zuming is also co-founder and academic director of the AwesomeMath Summer Program (AMSP) since 2006. He received the Edyth May Sliffe Award for Distinguished High School Mathematics Teaching from the MAA in 1996 and 2002. Related articles on this site.

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Chengde Feng, an instructor at AwesomeMath, father of Zuming Feng and a good friend of the Metroplex Math Circle will come to Dallas this Saturday to lecture on “Angles and Areas.”  To help us prepare, Mr. Feng has sent along this list of facts that every Middle School Student should know.

Concepts You Need to Know

1.  Angles of a Triangle

  • Vertical angles are congruent
  • The sum of the measures of the angles of a triangle is 180.
  • The measure of an exterior angle of a triangle equals the sum of the measures of the two remote interior angles.

2. Angles of a Polygon

  • The sum of the measures of the interior angles of a n-gon is {(n-2)180}
  • The measure of each interior angle of a regular n-gon is \dfrac{(n-2)180}{n}
  • The sum of the measures of the exterior angles of any convex polygon, one angle at each vertex, is 360.

3. Triangles

  • The length of each side of a triangle must be less than the sum of the lengths of the other two sides.
  • If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
  • An equilateral triangle has three 60^\circ angles.
  • Pythagorean Theorem In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

4.  Areas The area of:

  • a rectangle equals the product of its base and height.
  • a parallelogram equals the product of its base and height.
  • a triangle equals half the product of its base and height.
  • an equilateral triangle with side length l is \dfrac{\sqrt{3}}{4}t^2
  • a rhombus equals half of the product of its diagonals.
  • a trapezoid equals half the product of the height and the sum of the bases.
  • a circle with radius r is \pi r^2 and its circumference is 2 \pi r.
  • a sector AOB of circle O with radius r is \dfrac{m\angle AOB}{360}\pi r^2

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In addition to being the subject of books like Count Down, the Director of Metroplex Math Circle, Dr. Titu Andreescu is also the author of multiple books on problem solving. These books draw on his many years of experience as the director of AMC, coach of the US International Math Olympiad team and author of many contest problems.

To help the Metroplex Math Circle community we have created an Amazon List with some of Dr. Andreescu’s currently available books. In addition to Dr. Andreescu’s books for experienced problem solvers we have also included some books and resources on the list for students just starting into problem solving.

Not only does Metroplex Math Circle benefit from Dr. Andreescu himself, but many of his co-authors are also friends of MMC and frequent lecturers.

Following are the author descriptions from the book 104 Number Theory Problems: From the Training of the USA IMO Team:

About the Authors

Titu Andreescu received his Ph.D. from the West University of Timisoara, Romania. The topic of his dissertation was “Research on Diophantine Analysis and Applications.” Professor Andreescu currently teaches at The University of Texas at Dallas. He is past chairman of the USA Mathematical Olympiad, served as director of the MAA American Mathematics Competitions (1998–2003), coach of the USA International Mathematical Olympiad Team (IMO) for 10 years (1993–2002), director of the Mathematical Olympiad Summer Program (1995–2002), and leader of the USA IMO Team (1995–2002). In 2002 Titu was elected member of the IMO Advisory Board, the governing body of the world’s most prestigious mathematics competition. Titu co-founded in 2006 and continues as director of the AwesomeMath Summer Program (AMSP). He received the Edyth May Sliffe Award for Distinguished High School Mathematics Teaching from the MAA in 1994 and a “Certificate of Appreciation” from the president of the MAA in 1995 for his outstanding service as coach of the Mathematical Olympiad Summer Program in preparing the US team for its perfect performance in Hong Kong at the 1994 IMO. Titu’s contributions to numerous textbooks and problem books are recognized worldwide.

Dorin Andrica received his Ph.D. in 1992 from “Babes-Bolyai” University in Cluj-Napoca, Romania; his thesis treated critical points and applications to the geometry of differentiable submanifolds. Professor Andrica has been chairman of the Department of Geometry at “Babes-Bolyai” since 1995. He has written and contributed to numerous mathematics textbooks, problem books, articles and scientific papers at various levels. He is an invited lecturer at university conferences around the world: Austria, Bulgaria, Czech Republic, Egypt, France, Germany, Greece, Italy, the Netherlands, Portugal, Serbia, Turkey, and the USA. Dorin is a member of the Romanian Committee for the Mathematics Olympiad and is a member on the editorial boards of several international journals. Also, he is well known for his conjecture about consecutive primes called “Andrica’s Conjecture.” He has been a regular faculty member at the Canada–USA Mathcamps between 2001–2005 and at the AwesomeMath Summer Program (AMSP) since 2006.

Zuming Feng received his Ph.D. from Johns Hopkins University with emphasis on Algebraic Number Theory and Elliptic Curves. He teaches at Phillips Exeter Academy. Zuming also served as a coach of the USA IMO team (1997-2006), was the deputy leader of the USA IMO Team (2000-2002), and an assistant director of the USA Mathematical Olympiad Summer Program (1999-2002). He has been a member of the USA Mathematical Olympiad Committee since 1999, and has been the leader of the USA IMO team and the academic director of the USA Mathematical Olympiad Summer Program since 2003. Zuming is also co-founder and academic director of the AwesomeMath Summer Program (AMSP) since 2006. He received the Edyth May Sliffe Award for Distinguished High School Mathematics Teaching from the MAA in 1996 and 2002.

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