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MF73: Lines and parabolas I

We study lines and parabolas using elementary calculus derived only from algebraic manipulations with polynomials, or polynumbers in our setting. We discuss y-intercepts, slopes and x-intercepts of lines, along with another look at the meets of two lines. Then we study parabolas in the context of quadratic polynomials, using elementary algebraic calculus to find Taylor expansions, derivatives and tangent lines.This lecture is part of the MathFoundations series, which tries to lay out proper foundations for mathematics, and will not shy away from discussing the serious logical difficulties entwined in modern pure mathematics. The full playlist is at
Length: 39:52


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