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STEM Concept Videos
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CC BY-NC-SA
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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.

Subject:
Applied Science
Business and Communication
Calculus
Chemistry
Communication
Engineering
Mathematics
Physical Science
Physics
Social Science
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
None, Singapore University of Technology and Design (SUTD)
None, Teaching and Learning Laboratory (TLL)
Date Added:
09/01/2013
Seminar in Geometry
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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.

Subject:
Algebra
Calculus
Geometry
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Carberry, Emma
Date Added:
09/01/2004
Single Variable Calculus
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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.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Jerison, David
Date Added:
09/01/2010
Single Variable Calculus
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CC BY-NC-SA
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This introductory calculus course covers differentiation and integration of functions of one variable, with applications.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Starr, Jason
Date Added:
09/01/2005
Single Variable Calculus
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CC BY-NC-SA
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This introductory calculus course covers differentiation and integration of functions of one variable, with applications.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Jerison, David
Date Added:
09/01/2006
Street-Fighting Mathematics
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CC BY-NC-SA
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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.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Mahajan, Sanjoy
Date Added:
01/01/2008
System Functions and the Laplace Transform
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CC BY-NC-SA
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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.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Pearce, Philip
Date Added:
02/01/2019
Tangential and Normal Components of Acceleration: Calculus 3 project by Caroline Ting
Unrestricted Use
CC BY
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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.

Subject:
Calculus
Mathematics
Material Type:
Activity/Lab
Homework/Assignment
Author:
Igor Baryakhtar
Date Added:
08/05/2021
Techniques of Calculus 1
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CC BY-NC-SA
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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.)

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Pennsylvania State University
Author:
Larry Musolino
Date Added:
02/01/2021
UNC System - Calculus 1 & 2 Video
Unrestricted Use
CC BY
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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.

Subject:
Calculus
Mathematics
Material Type:
Student Guide
Author:
UNC System
Date Added:
05/12/2021
UNC System - Precalculus Video
Unrestricted Use
CC BY
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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.

Subject:
Calculus
Mathematics
Material Type:
Student Guide
Author:
UNC System
Date Added:
05/12/2021
WeBWorK Problems for OpenStax Calculus Volume I
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CC BY
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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.

Subject:
Calculus
Mathematics
Material Type:
Interactive
Provider:
University System of Georgia
Provider Set:
Galileo Open Learning Materials
Author:
Scott Kersey
Stephen Carden
Date Added:
03/20/2018
Whitman Calculus
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CC BY-NC-SA
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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.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Whitman College
Author:
David Guichard
Date Added:
01/01/2010
Yet Another Calculus Text
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CC BY-NC-SA
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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.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Furman University
Author:
Dan Sloughter
Date Added:
02/16/2011