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After George Boole’s introduction of an algebraic approach to logic, the subject morphed towards a more set theoretic formulation, with so called Boolean algebra initiated by John Venn and Charles Peirce. Venn diagrams (originally going back to Euler), give us a visual way of representing relations between subsets of a universal set. The operations of…

Partial fraction decomposition is when a rational expression is written as the sum of simpler fractions. This video is part 1 – it will explain how to write linear and quadratic factors in the proper decomposition form. Partial fractions are very helpful in Calculus as in when we do integration by parts. For more math…

This is a proof for the power reducing formula for sine and cosine. Super handy when integrating sin^2x or cos^2x. We use the double angle formula for cosine to prove both.