**NEWS
2014**:
**Math Circles Instructors wanted! **(Apply
here)

Math Circles at the Fields Institute is looking for new volunteers
to teach bright high school students interesting topics in mathematics.
The goal of Math Circles is to introduce different topics in mathematics
not necessarily taught in school, while keeping things fun! In particular,
we are looking for instructors to do one of the following topics:

Introduction to Real Analysis

Introduction to Graph Theory

Introduction to Topology

Introduction to Groups and Rings

The Game of Go

Game Theory

Optimization

Other topics are welcome!

Lectures are held at the Fields Institute on Saturday afternoons
from 1pm - 3pm.

## =======================================================

**New**. **Announcement
from the organizer, Sarah Sun**. -- posted October 16, 2014

Hello Advanced Math Circles,

Sacha Mangerel will be teaching a series in Real Analysis over the
next three weeks for the Advanced Group. Since this is a series,
please try to make sure you do not skip any of these lectures, or
the next one will be harder! The topics covered will include:

- Construction of real numbers

- Introduction to Cardinal arithmetic

- Sequences and continuous functions

- Derivatives and the Mean Value Theorem

- Theory of Riemann integration an Fundamental Theorem of Calculus

Each week, we will have the lecture posted online, and at the end
of each lecture there will be problem sets. You'll want to review
the lecture notes from the previous week going into the lecture.

See you soon!

Sarah

**LECTURE notes:**

October 18, 2014 lecture notes from Sasha Mangerel : Hanout
1; TopMetWk1 --- *NEW*
(Posted October 22, 2014)

========================================================

**WINTER/SPRING SCHEDULE FOR 2014-2015**

September 27, 2014 -- First Day of Math Circles

October 4, 11, 18, 25

November 1, 8, 15, 22, 29

**OVERVIEW**

Math Circles have been active in Toronto for several years. While
some of the students who attend simply like to work on challenging
problems, many others use the weekly circles meetings to help them
prepare for competitive mathematics contests, either individually
or as members of a team. Some of the past participants in this program
have gone on to represent Canada at the International Mathematical
Olympiad, the most elite and prestigious of these competitions.
Fields is committed to supporting students to take part in competitions
outside of Toronto.

**MEETINGS**

The Fields Mathematics Circles sessions are open to **high school
students** (grade 9& 12) from throughout the Toronto area. Math
Circles is held at the Fields Institute on Saturday afternoons.
There are about 50 students participating on a weekly basis. There
will be 10 to 12 sessions in the fall term (late September to early
December) and another 10-12 in the winter spring term, ending by
late May.

**HISTORY**

The Math Circles concept was developed in Moscow in the 1950's as
a way to maintain the interest of bright students in mathematics.
Challenging material from outside the regular curriculum, as well
as preparation for problem solving competitions were seen as the
key to maintaining this interest. A critical component to the success
of this concept was the active involvement of some of the major
figures of the Moscow mathematical community. And, indeed, the Math
Circles proved to be highly successful with similar groups established
throughout the Soviet Union and beyond. The migration of former
Soviet scientists to the West at the end of the twentieth century
carried the concept to North America.

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