The STEM Concept Videos are designed to help students learn a pivotal …
The STEM Concept Videos are designed to help students learn a pivotal concept in science, technology, engineering, and/or mathematics (STEM). These ideas are the building blocks of many engineering curricula, and learning them will help students master more difficult material. The STEM Concept Videos were produced by the Teaching and Learning Lab (TLL) at MIT for the Singapore University of Technology and Design (SUTD). For more information on how these videos were developed, please see the paper presented by TLL researchers at the American Society for Engineering Education (ASEE) 2013 conference. Shah, D.N., JE French, J. Rankin, L. Breslow. “Using Video to Tie Engineering Themes to Foundational Concepts.” American Society for Engineering Education Annual Conference, June 23-26, 2013.
In this course, students take turns in giving lectures. For the most …
In this course, students take turns in giving lectures. For the most part, the lectures are based on Robert Osserman's classic book A Survey of Minimal Surfaces, Dover Phoenix Editions. New York: Dover Publications, May 1, 2002. ISBN: 0486495140.
This calculus course covers differentiation and integration of functions of one variable, …
This calculus course covers differentiation and integration of functions of one variable, and concludes with a brief discussion of infinite series. Calculus is fundamental to many scientific disciplines including physics, engineering, and economics. Course Format This course has been designed for independent study. It includes all of the materials you will need to understand the concepts covered in this subject. The materials in this course include:
Lecture Videos with supporting written notes Recitation Videos of problem-solving tips Worked Examples with detailed solutions to sample problems Problem sets with solutions Exams with solutions Interactive Java Applets ("Mathlets") to reinforce key concepts
Content Development David Jerison Arthur Mattuck Haynes Miller Benjamin Brubaker Jeremy Orloff Heidi Burgiel Christine Breiner David Jordan Joel Lewis About OCW Scholar OCW Scholar courses are designed specifically for OCW's single largest audience: independent learners. These courses are substantially more complete than typical OCW courses, and include new custom-created content as well as materials repurposed from previously published courses.
This course teaches the art of guessing results and solving problems without …
This course teaches the art of guessing results and solving problems without doing a proof or an exact calculation. Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, and pictorial analysis. Applications include mental calculation, solid geometry, musical intervals, logarithms, integration, infinite series, solitaire, and differential equations. (No epsilons or deltas are harmed by taking this course.) This course is offered during the Independent Activities Period (IAP), which is a special 4-week term at MIT that runs from the first week of January until the end of the month.
This half-semester course studies basic continuous control theory as well as representation …
This half-semester course studies basic continuous control theory as well as representation of functions in the complex frequency domain. It covers generalized functions, unit impulse response, and convolution. Also covered are the Laplace transform, system (or transfer) functions, and the pole diagram. Examples from mechanical and electrical engineering are provided. Go to OCW’s Open Learning Library site for 18.031: System Functions and the Laplace Transform. The site is free to use, just like all OCW sites. You have the option to sign up and enroll in the course if you want to track your progress, or you can view and use all the materials without enrolling.
This Project has been completed as part of a standard 10 weeks …
This Project has been completed as part of a standard 10 weeks Calculus 3 asynchronous online course with optional WebEx sessions during Summer 2021 Semester at MassBay Community College, Wellesley Hills, MA.
Word Count: 60034 (Note: This resource's metadata has been created automatically by …
Word Count: 60034
(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)
Calculus 1 & 2 course collection video from the UNC System OER …
Calculus 1 & 2 course collection video from the UNC System OER project. This one-minute video is meant for students. It focuses on what students may think they know about the topic, what students could learn from taking the course, and a brief introduction to open educational resources.
Precalculus course collection video from the UNC System OER project. This one-minute …
Precalculus course collection video from the UNC System OER project. This one-minute video is meant for students. It focuses on what students may think they know about the topic, what students could learn from taking the course, and a brief introduction to open educational resources.
This Project has been completed as part of a standard 15 weeks …
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.
These open-source mathematics homework problems are programmed for the WeBWorK mathematics platform …
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 …
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 …
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.
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