This is a lecture in the Algebraic Calculus One course, which will present an exciting new approach to calculus, sticking with rational numbers and high school algebra, and avoiding all "infinite processes", "real numbers" and other modern fantasies. The course will be carefully framed on careful definitions, explicit examples and concrete computations.
In this lecture, we continue to introduce the fundamental definition for signed area. We begin by discussing the differences between different levels of geometry, and then also introduce important terminology for oriented objects in planar geometry. And we introduce the single most important definition in the algebraic integral calculus.
The course materials will become available on Jan 1 2018 to my Patreon subscribers, so join our community at https://www.patreon.com/njwildberger.
linear algebra and its applications pdf Introduction to Signed Area b) | Algebraic Calculus One | Wild Egg | |
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