Keisler, H. Elementary Calculus: An Approach Using Infinitesimals. This module gets at the heart of the entire course: the Taylor series, which provides an approximation to a function as a series, or "long polynomial". Very well structured for a refresher course. If I shoot a rocket into the sky, at which point is it at it’s maximum acceleration. For example. 3. Making sure my approach is correct is essential as well considering the course touches upon the absolute basics. This book is unique in the field of mathematical analysis in content and in style. You’ll also be introduced to a wide variety of functions, including Transcendental Functions and parametric functions. This motivated me to do better in my Calculus Courses. These include: 1. Part of Springer Nature. The authors appeal to students’ geometric intuition to introduce fundamental concepts, laying a foundation for the development that follows. MIT OpenCourseWare makes the materials used in the teaching of almost all of MIT's subjects available on the Web, free of charge. These include: Many of these subdivisions overlap with each other. This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. This introductory calculus course covers differentiation and integration of functions of one variable, with applications. This also means that you will not be able to purchase a Certificate experience. Some elementary concepts such as the power of a set, cardinality, measure theory, measurable functions are introduced. This course is the first part of a two-course sequence. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. At the end of the course, you might be introduced to differential equations. The materials in this course include: David Jerison Arthur Mattuck Haynes Miller Benjamin Brubaker Jeremy Orloff, Heidi Burgiel Christine Breiner David Jordan Joel Lewis. We don't offer credit or certification for using OCW. He is a member of the MAA and a former chair of the Department of Mathematics and Computer Science at Whitworth University. His expertise is in mathematical analysis, and he has a special interest in the integration of technology and mathematics education. You will learn what a Taylor series is and how to compute it. We don't recognize your username or password. MA101: Single-Variable Calculus I Log in or Sign up to track your course progress, gain access to final exams, and get a free certificate of completion!

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