December 6: Dr. Tanya Khovanova

After Dr. Benjamin’s special November 19 presentation, Metroplex Math Circle will be on break for the next two Saturdays to allow people to travel for the Thanksgiving holiday.

We will return for our last lecture of the semester December 6 with Dr. Tanya Khovanova who will deliver two talks:

1. Binary Numbers

I will teach binary numbers, show a magic trick and we will play with binary dollars.

2. Integers and Sequences

Have you ever heard of untouchable numbers? How about aspiring numbers?  I will tell you what they are.  I will talk about perfect numbers and how they are connected to Mersenne primes. I will talk about the biggest known prime number.  Have you ever wondered what is the most famous number sequence? What is the most versatile sequence? We will discuss that.  What is the largest amount of coin money you can have without being able to make change for a dollar? You can bring your answer to this seminar. What is so special about 1089? You will learn that too. Is 42 (The Answer to Life, the Universe, and Everything) more famous than 47 (the secret Star Trek TNG number)? You will get the answer to that.  I will also show you the Internet resources about numbers. You will be able to find out many things about your favorite numbers.

Dr. Khovanova has had a varied and interesting career.  She grew up in Russia where she participated in many math competitions, winning 3 gold medals at the national level and one gold and a silver at the IMO.  She earned her PhD in Mathematics at Moscow State University.

Until recently Dr. Khovanova worked in Battle Management until recently deciding to return to academia.  She currently holds a position as a Visiting Scholar at Math Dept at MIT.   In addition, Dr. Khovanova is a math competition coach at the Advanced Math and Sciences Academy.

You can read more about Dr. Tanya Khovanova on her blog.

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MIT: Mathematics for Computer Science

One of the greatest enterprises on the Internet has been the posting of course materials by elite universities.  MIT’s Open Courseware (OCW) has been a leader in bringing the benefits of their unique curriculum to the world.

Getting a glimpse into introductory courses is critical because they often weed out those students who are unprepared to pursue studies and later careers in fields like Computer Science.  However, I am glad to say that many of our students who have been coming to Math Circle and participating in MATHCOUNTS or AMC tests will find many of the topics in this course very familiar.

Please click below to download some of the excellent lecture notes and tests.

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AOPS: MIT Admissions Transcript

Our friends at Art of Problem solving hosted a Math Jam interview with Matt McGann, Associate Director of Admissions and Kiran Kedlaya, Associate Professor of Mathematics at MIT.  Here are a couple of highlights and a link to the full transcript:

Q:  What is MIT’s admission rate?

A: Last year, if memory serves, we received 13,396 applications and admitted 1589 students, for an admission rate of about 11.9%. But remember, just the admission rate tells you very little about the admissions process or the quality of the school.

Q:  Where are the math major students go and what do they do once they graduated from MIT?

A: Our math majors choose a variety of career paths. Some pursue PhDs in math and continue in academic careers; some do likewise in related subjects (physics, computer science). Finance is a popular option, as are various IT-oriented careers.

Q:  What are some of the research opportunities available during the vacations?

A:MIT has an extensive Undergraduate Research Opportunities Program (UROP), through which undergrads can get funding to do research projects with faculty either during vacations or academic terms. The burden is on the student to find a faculty mentor, but many faculty participate in the program. (I’ve advised maybe 10 students in this way.)

Q:  What kinds of things make an undergraduate application “jump off the page” during the MIT admissions process? In other words, what makes someone’s application stand out from the rest of the applicants who are most likely very studious as well?

A:  I know you’re very anxious to have this question answered! It’s a tough question, and one that doesn’t have an easy answer. Lots of things can make an application stand out. A 42 at the IMO would be great, but it can be many, many things. Some students stand out for their personality, or their extra-curricular accomplishments, or for overcoming a challenging situation. But all of these students must have strong academics and an alignment with MIT’s mission and culture. For more detailed thoughts on this, I’d read the blogs at our website, http://mitadmissions.org

Q:  Not everyone gets to IMO. Are USAMO qualifiers also considered for admission?

A:  Of course! And even non-USAMO qualifiers!

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AOPS: MIT Admissions Math Jam

Our good friends at the Art of Problem Solving are hosting a Math Jam this Thursday with representatives from MIT to discuss their math programs and what they are looking for in applicants. MIT has done a particularly good job in recent years of recruiting top math talent including friends of MMC like Ivan Borsenco.

Math Jams are a free online chat format sponsored by AOPS. You will want to go to the site a bit before the start to make sure your computer is set up properly. If you cannot make this time a full transcript of the event is generally available the next day.

Date: Oct 23 (Thu)
Time: 7:30 PM Eastern
Instructor: Matt McGann

Matt McGann, Associate Director of Admissions at MIT, and Kiran Kedlaya, Associate Professor of Mathematics, will discuss MIT and the admissions process.

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