If you don't want to miss the opportunity to sign up for his inaugural classes (I expect them to fill quickly) I recommend going to his site to sign up for his newsletter.
Bring your colored pencils to help drawing some pictures.
Burnside’s lemma from group theory has a broad scope of application in combinatorial enumeration problems. Pólya’s enumeration theorem, which generalizes Burnside’s lemma using generating functions, provides a remarkable framework to easily solve counting problems in which we want to regard two entities as equivalent under some symmetry.
In this talk about geometry of triangles we will see two different proofs of Stewart’s theorem, derive formulas for important cevians, and solve several interesting geometric problems.
We will also look at other important points in triangles (Fermat point, centers of excircles, …) and look at the Euler line, the nine-point circle, and related problems.
In addition to being the Director of the San Jose Math Circle, Tatiana Shubin (shubin[at]math.sjsu.edu) won the All-Siberian Math Olympiad when she was in the seventh grade. Her B.S. is from Moscow State University (Russia), and her PhD is from UC Santa Barbara. She served for 6 years as the California State Director of AMC-8, then became a co-founder of the Bay Area Math Adventures (BAMA), and has been on the BAMA steering committee ever since.
Metroplex Math Circle is intended primarily for students who are 14 and older and show a strong desire to go beyond a standard high school curriculum. Many of these students will use their experience at MMC to excel in national math competitions or to better prepare them for work at elite universities. Younger students with demonstrated mathematical talents are also welcome to participate in the MMC lectures.Mission
The Metroplex Math Circle is a program designed to attract talented students to mathematics and to provide an accelerated avenue to develop students’ mathematical and problem-solving skills.
Specifically, the goals of the Metroplex Math Circle are:
- To draw students to mathematics and to motivate them to excel in the subject;
- To draw students to the program who are economically disadvantaged and who might otherwise not attend;
- To prepare students for mathematical contests;
- To encourage students to pursue careers linked to mathematics, including careers in science, research, business or academia.
The Metroplex Math Circle will achieve these goals by:
- Exposing middle and high school students to exciting mathematics presented by research mathematicians, mathematics educators and internationally seasoned Olympiad problem-solvers;
- Providing extracurricular opportunities to extend mathematical knowledge and skill well beyond the school curriculum;
- Giving opportunities to students to meet and work with other students of similar or superior math abilities and aspirations;
- Creating a forum for testing students’ math competition skills