The course will be delivered via edX and connect learners around the world. Well also solve a problem using a derivative and give some alternate. The single variable chain rule tells you how to take the derivative of the composition of two functions: d d t f ( g ( t)) d f d g d g d t f ( g ( t)) g ( t) What if instead of taking in a one-dimensional input, t. Whether you’re a student who has just finished an introductory calculus course or a teacher looking for more authentic examples for your classroom, there is something for you, and we hope you’ll join us! In this session we apply the main formula for the derivative to the functions 1/x and xn. As you can probably imagine, the multivariable chain rule generalizes the chain rule from single variable calculus. This is a course to learn applications of calculus to other fields, and NOT a course to learn the basics of calculus. You will need to be familiar with the basics of derivatives, integrals, and differential equations, as well as functions involving polynomials, exponentials, and logarithms. This course is for anyone who has completed or is currently taking a single-variable calculus course (differential and integral), at the high school (AP or IB) or college/university level. Antiderivatives Arc Length Chain Rule Computing Integrals by Completing the Square Computing Integrals by Substitution Continuity Differentiating Special Functions First Derivative Fundamental Theorem of Calculus Infinite Series Convergence Integration by Parts L'Hopital's Rule Limit Definition of the. Key topics include the application of derivatives, integrals and differential equations, mathematical models and parameters. This course provides a unique supplement to a course in single-variable calculus. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics. Millions of students worldwide have explored calculus through Stewarts trademark style, while instructors have turned to his approach time and time again. With real practitioners as your guide, you’ll get hands-on experience with data and graphs, equations, calculus computations, and educated guesses and predictions. This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. James Stewarts CALCULUS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Through a series of case studies, you’ll learn about a wide range of applications, from predator-prey models to how statisticians use functions to model data. 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.
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