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 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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