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This Project has been completed as part of a standard 15 weeks Calculus 3 face-to-face course during Spring 2022 Semester at MassBay Community College, Wellesley Hills, MA.
This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.
These open-source mathematics homework problems are programmed for the WeBWorK mathematics platform and correspond to chapters in OpenStax Calculus Volume I. They were created through a Round Eight Textbook Transformation Grant.
An introductory level single variable calculus book, covering standard topics in differential and integral calculus, and infinite series. Late transcendentals and multivariable versions are also available.
I intend this book to be, firstly, a introduction to calculus based on the hyperreal number system. In other words, I will use infinitesimal and infinite numbers freely. Just as most beginning calculus books provide no logical justification for the real number system, I will provide none for the hyperreals. The reader interested in questions of foundations should consult books such as Abraham Robinson's Non-standard Analysis or Robert Goldblatt's Lectures on the Hyperreals. Secondly, I have aimed the text primarily at readers who already have some familiarity with calculus. Although the book does not explicitly assume any prerequisites beyond basic algebra and trigonometry, in practice the pace is too fast for most of those without some acquaintance with the basic notions of calculus.
เล่าถึงการพัฒนาแนวคิดทางคณิตศาสตร์ ซึ่งปัจจุบันเรียกแขนงนี้ว่า "แคลคูลัส (Calculus)" ความจำเป็นในรากฐานความรู้ที่รัดกุมกว่า ทำให้ต้องตัดบริบททางโลกแห่งความเป็นจริงทางวิทยาศาสตร์ ให้เหลือเพียงความรู้คณิตศาสตร์บริสุทธิ์ เพื่อใช้ในการพัฒนาความรู้ต่อยอดไป