Math Circles and Mentorship

This page consists of all lecture notes and handouts related to lectures given at the 2014-2015 Advanced Solving Group at the Fields' Institute Math Circle.  Solutions to handout problems/exercises will be uploaded shortly after postings of notes.

Analysis Lecture Series #1:
1. Foundational Aspects of Real Analysis and Cardinality:
2. Sequences, Convergence and Continuity
Notes; Handout (solutions).
3. Connectedness, Compactness, Convexity; Differentiation and the Mean Value Theorem

In fact, I drafted an almost complete set of course notes called Real Analysis for Problem Solvers.

In the winter of 2015 I mentored Toronto area high-school students in regards to problems related to exponential sums and equidistribution. Here are some handouts that came out of this:


(Disclaimer: All content in these notes, including theorem statements, proofs, solutions etc., unless otherwise stated, are my own product.  I therefore claim responsibility for any errors that might be found in these notes.)

Suggested Problem Books related to some of the topics in these series:
1. Putnam and Beyond by T. Andreescu and R. Gelca.
2. Problem Solving Through Problems by L. Larson.
3. Berkeley Problems in Mathematics by P.N. de Souza and J.N. Silva.

I have been asked to offer my perspectives about careers for people who are mathematically oriented.  If this interests you, take a look at this note.
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Sacha Mangerel,
15 Nov 2014, 15:54
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Sacha Mangerel,
13 Jan 2016, 22:42
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Sacha Mangerel,
13 Jan 2016, 22:42
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Sacha Mangerel,
26 Oct 2014, 14:50
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Sacha Mangerel,
25 Oct 2014, 20:53
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Sacha Mangerel,
1 Nov 2014, 12:32
Ċ
Sacha Mangerel,
26 Oct 2014, 14:50
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Sacha Mangerel,
15 Nov 2014, 16:01
Ċ
Sacha Mangerel,
13 Jan 2016, 22:42
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topMet.pdf
(780k)
Sacha Mangerel,
13 Jan 2016, 22:37
Ċ
Sacha Mangerel,
25 Oct 2014, 20:53
Ċ
Sacha Mangerel,
25 Oct 2014, 20:53
Ċ
Sacha Mangerel,
1 Nov 2014, 12:32
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