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The Calculus II course was developed through the Ohio Department of Higher Education OER Innovation Grant. This work was completed and the course was posted in February 2019. The course is part of the Ohio Transfer Module and is also named TMM006. For more information about credit transfer between Ohio colleges and universities, please visit: transfercredit.ohio.gov.Team LeadJim Fowler                                         Ohio State UniversityRita Ralph                                         Columbus State Community CollegeContent ContributorsNela Lakos                                       Ohio State UniversityBart Snapp                                       Ohio State UniversityJames Talamo                                  Ohio State UniversityXiang Yan                                         Edison State Community CollegeLibrarianDaniel Dotson                                    Ohio State University                     Review TeamThomas Needham                             Ohio State UniversityCarl Stitz                                            Lakeland Community CollegeSara Rollo                                         North Central State College

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
Ohio Open Ed Collaborative
09/26/2018
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After completing this section, students should be able to do the following.Compute dot products.Use dot products to compute the angle between vectors.Find orthogonal projections.Find scalar projections.Use the dot product in applied settings.Find orthogonal decompositions.

Subject:
Calculus
Material Type:
Module
07/26/2019
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 14-minute video lesson shows how to determine the equation for a plane in R3 using a point on the plane and a normal vector.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Provider Set:
Author:
Salman Khan
02/20/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 25-minute video lesson introduces the idea of an angle between two vectors.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Provider Set:
Author:
Salman Khan
02/20/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 19-minute video lesson provides dot and cross product comparison and Intuition.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Provider Set:
Author:
Salman Khan
02/20/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 17-minute vidoe lesson shows proof of the Cauchy-Schwarz Inequality.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Provider Set:
Author:
Salman Khan
02/20/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 11-minute video lesson proves the "associative," "distributive," and "commutative" properties for vector dot products.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Provider Set:
Author:
Salman Khan
02/20/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 9-minute video lesson provides definitions of the vector dot product and vector length.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Provider Set:
Author:
Salman Khan
02/20/2011
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 19-minute video lesson proves the triangle inequality for vectors in Rn.

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Provider Set:
Author:
Salman Khan
02/20/2011
Conditional Remix & Share Permitted
CC BY-NC
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The Pre-Calculus course was developed through the Ohio Department of Higher Education OER Innovation Grant. This work was completed and the course was posted in September 2019. The course is part of the Ohio Transfer Module and is also named TMM002. For more information about credit transfer between Ohio colleges and universities, please visit: www.ohiohighered.org/transfer.Team LeadKameswarrao Casukhela                   Ohio State University LimaContent ContributorsLuiz Felipe Martins                             Cleveland State UniversityIeda Rodrigues                                   Cleveland State UniversityTeri Thomas                                        Stark State CollegeLibrarianDaniel Dotson                                     Ohio State University                     Review TeamAlice Taylor                                        University of Rio GrandeRita Ralph                                          Columbus State Community College

Subject:
Applied Science
Calculus
Education
Mathematics
Physical Science
Material Type:
Full Course
Provider:
Ohio Open Ed Collaborative
01/09/2019
Conditional Remix & Share Permitted
CC BY-NC
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Vectors - dot product, projection, decomposition of a vectorTMM 002 PRECALCULUS (Revised March 21, 2017)AdditionalOptional Learning Outcomes:2. Geometry: The successful Precalculus student can:2e. Interpret the result of vector computations geometrically and within the confines of a particular applied context (e.g., forces).Sample Tasks:The student can define vectors, their arithmetic, their representation, and interpretations.The student can decompose vectors into normal and parallel components.The student can interpret the result of a vector computation as a change in location in the plane or as the net force acting on an object.

Subject:
Engineering
Geometry
Higher Education
Mathematics
Trigonometry
Material Type:
Module