e-book Applied calculus

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What struck me while reading Mathematical Modeling and Applied Calculus is that calculus particularly via its relation to mathematical modeling has a lot to do with data, perhaps just as much as statistics and programming do.


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Furthermore, using R or some similar computing environment as is done in Mathematical Modeling and Applied Calculus for the purpose of mathematical modeling adds additional benefit. Jason M. Graham is an assistant professor in the department of mathematics at the University of Scranton, Scranton, Pennsylvania. His current professional interests are in teaching applied mathematics and mathematical biology, and collaborating with biologists specializing in the collective behavior of groups of organisms.

Functions for Modeling Data 1.


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Functions 1. Multivariable Functions 1. Linear Functions 1.

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Exponential Functions 1. Inverse Functions 1. Logarithmic Functions 1. Trigonometric Functions 2. Mathematical Modeling 2. Modeling with Linear Functions 2. Modeling with Exponential Functions 2. Modeling with Power Functions 2. Modeling with Sine Functions 2. Modeling with Sigmoidal Functions 2. Single Variable Modeling 2. Dimensional Analysis 3. The Method of Least Squares 3.

Vectors and Vector Operations 3. Linear Combinations of Vectors 3. Existence of Linear Combinations 3. Vector Projection 3. The Method of Least Squares 4. Derivatives 4. Rates of Change 4.

MATH 150 - Elementary Applied Calculus I

The Derivative as a Function 4. Derivatives of Modeling Functions 4. Product and Quotient Rules 4. The Chain Rule 4. Partial Derivatives 4. Limits and the Derivative 5. Optimization 5.

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Global Extreme Values 5. EdX, a non-profit, relies on verified certificates to help fund free education for everyone globally. Skip to main content Length:.


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    Purchase now Request Information. About this course In this course, we go beyond the calculus textbook, working with practitioners in social, life and physical sciences to understand how calculus and mathematical models play a role in their work. What you'll learn Authentic examples and case studies of how calculus is applied to problems in other fields How to analyze mathematical models, including variables, constants, and parameters Appreciation for the assumptions and complications that go into modeling real world situations with mathematics.

    Meet your instructors Harvard University. Juliana Belding Professor of the Practice in Mathematics. Peter M. Garfield Teaching Faculty. If you do not wish to use the Desmos platform or view content hosted by Desmos, you may not be able to complete the course.

    Calculus: Applied Problems in Business with Differentiation

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