Study calculus online free by downloading volume 1 of OpenStax's college Calculus textbook and using our accompanying online resources.
Calculus is the mathematics that describes changes in functions. In this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, exponential, and logarithmic functions. We review how to evaluate these functions, and we show the properties of their graphs.
Calculus Volume 1 Introduction Contents Highlights Print Figure 5.1Iceboating is a popular winter sport in parts of the northern United States and Europe. (credit: modification of work by Carter Brown, Flickr)
Fundamental Theorem of Calculus Part 1: Integrals and Antiderivatives As mentioned earlier, the Fundamental Theorem of Calculus is an extremely powerful theorem that establishes the relationship between differentiation and integration, and gives us a way to evaluate definite integrals without using Riemann sums or calculating areas.
One common application of calculus is calculating the minimum or maximum value of a function. For example, companies often want to minimize production costs or maximize revenue. In manufacturing, it is often desirable to minimize the amount of material used to package a product with a certain volume. In this section, we show how to set up these types of minimization and maximization problems ...
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Calculus. For many high school students, it's the Mt. Everest of high school courses, the pinnacle of curricular attainment. "My daughter's taking Calculus!" is a phrase that's meant to impress ...
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