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• OH.TMM.0006.Core.5 - Evaluate improper integrals, including integrals over infinite interva...
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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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With one input, and vector outputs, we work component-wise.A question I’ve often asked myself is: “How do you know when you are doing a calculus problem?” The answer, I think, is that you are doing a calculus problem when you are computing: a limit, a derivative, or an integral. Now we are going to do calculus with vector-valued functions. To build a theory of calculus for vector-valued functions, we simply treat each component of a vector-valued function as a regular, single-variable function. Since we are currently thinking about vector-valued functions that only have a single input, we can work component-wise. Let’s see this in action.

Subject:
Calculus
Material Type:
Module
07/26/2019
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CC BY-NC
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After completing this section, students should be able to do the following.Compute derivatives of polar curves.Determine where the derivative of a polar curve is undefined.Find the equation of a tangent lines to a polar curve.

Subject:
Calculus
Material Type:
Module
07/26/2019
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CC BY-NC
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After completing this section, students should be able to do the following.Find the area of a region bound by a polar curve.Find the intersection points of two polar curves.Find the area of a region bound by two polar curves.

Subject:
Calculus
Material Type:
Module
07/26/2019
Conditional Remix & Share Permitted
CC BY-NC
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After completing this section, students should be able to do the following.Convert between polar and Cartesian coordinates.Plot basic curves in polar coordinates.Use the Cartesian to polar method to plot polar graphs.

Subject:
Calculus
Material Type:
Module
07/26/2019
Conditional Remix & Share Permitted
CC BY-NC
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Vector-valued functions are parameterized curves.

Subject:
Calculus
Material Type:
Module
07/26/2019
Conditional Remix & Share Permitted
CC BY-NC
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After completing this section, students should be able to do the following.Sketch a parametric curve.Eliminate a parameters of a parametric equation.Represent a graph with parametric equations.Find the derivative of a parametric curve.

Subject:
Calculus
Material Type:
Module
07/26/2019
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This is a Calculus II interactive textbook with modules curated and created on The Ohio State University's Ximera platform.

The software upon which this interactive textbook was built is licensed under a GNU General Public License v.2.0, and therefore this resource caries the same license. Pursuant to this license, no warranties are made.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Columbus State Community College
Author:
Kevin James
Lee Wayand
The Ximera Project
Tzy-Yi "Alan" Yang