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We explore the use of areas beneath velocity curves to estimate displacement, utilizing averages of decrease and upper rectangular approximations. We then have a look at limits of approximations, to find the formulation for the realm of a circle and the world underneath a parabola. We then develop methods for capturing exactly areas underneath curves, using Riemann sums and the definite integral. The module then introduces indefinite integrals and the strategy of integration by substitution. Finally, we focus on properties of weird and even functions, associated to rotational and reflectional symmetry, and the logistic operate, which modifies exponential growth.

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AFTER THAT, Lecture 1 prepares the groundwork for the course; then in Lecture 2 we dive into the first matter. This could all seem like straightforward stuff, but tens of 1000’s of former college students found they’d trouble later by skipping via Week 1 too quickly! If attainable, form or join a research group and discuss everything with them.

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