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In this handout I summarize all definitions, rules and techniques for understanding and calculating Integrals. I go through the motivation for it, the concepts and basic definitions, important identities and theorems. Also, during all the handout, I try to develop the intuition using graphs and actual examples. Throughout all the document, I solve several examples. The content is organized as follows: 1. Indefinite Integral (Primitives) 2. Integral properties 3. Primitivating techniques - 3.1 Su

In this handout I summarize all definitions, rules and techniques for understanding and calculating Limits. I go through the motivation for limits, the concepts and basic definitions, important identities, theorems and corollaries. Also, during all the handout, I try to develop the intuition using graphs and actual examples. At the end, I solve some very complicated limits. The content is organized as follows: 1. Symmetric intervals 2. Functions - a brief explanation - 2.1. Operations with func

In this handout, I demonstrate step by step the canonical correlation formula. I go through all the details, all the theorems used and I let clear aspects of the notation that can be, in general, an obstacle for understanding. This guide will be useful for a student or teacher interested in digging into details of the topic.

In this file we talk about some main definitions related to functions: - A basic definition - Domain and codomain - Surjectivity - Injectivity Simple examples and illustrations are used in order to clarify the concepts. I hope this file can help you introduce these theoretical concepts to your students in a more intuitive way.

In this handout, I demonstrate the general solution for estimating parameters of a linear regression using vectorial notation (the pseudo-inverse equation). I develop the reasoning from the point of view of the Maximum likelihood estimation. The purpose here is to help students see the link between the formal/general solution of a linear regression and how, in reality, it is a "fit to the data".