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Titlebook: Applied Calculus with R; Thomas J. Pfaff Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springe

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期刊全称Applied Calculus with R
影响因子2023Thomas J. Pfaff
视频video
发行地址Includes more graph-based problems.Exercise sets included.Includes real-world models throughout
图书封面Titlebook: Applied Calculus with R;  Thomas J. Pfaff Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springe
影响因子This textbook integrates scientific programming with the use of R and uses it both as a tool for applied problems and to aid in learning calculus ideas.  Adding R, which is free and used widely outside academia, introduces students to programming and expands the types of problems students can engage. There are no expectations that a student has any coding experience to use this text..While this is an applied calculus text including real world data sets, a student that decides to go on in mathematics should develop sufficient algebraic skills so that they can be successful in a more traditional second semester calculus course. Hopefully, the applications provide some motivation to learn techniques and theory and to take additional math courses. The book contains chapters in the appendix for algebra review as algebra skills can always be improved. Exercise sets and projects are included throughout with numerous exercises based on graphs..
Pindex Textbook 2023
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The Function Gallery,es the function of the fitted curve, as well as, the beginning and end of the data set where appropriate. These functions are here to generally demonstrate the idea of curve fitting as a way functions are created and specifically to see how well the curves fit the particular data. Examples that are
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The Idea of the Derivativese the speed of the function at 2017. At this point the 2.32 ppm is an estimate of the slope of the tangent line. Before we turn to calculating tangent line slopes explicitly we want to introduce terminology and notation for the slope of the tangent line and then develop an understanding of the info
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Successive Approximations to Estimate Derivatives. and . to get 2.324202 ppm per year. The calculation is presented R Code .. The question is, how accurate is our estimate of the slope of the tangent line of CO2 at . (or 2017)? Is . small enough so that the secant line that straddles the tangent line provides an accurate slope estimation? If we lo
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Basic Derivative Ruleshe derivative of ., ., and . would each be a similar yet separate calculation. It turns out we can use the definition of the derivative in M-Box . to derive general rules so that we do not need to use the limit formula each time. M-Box 11.1 lists basic rules of derivatives. Note that all of these ru
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