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  • OH.TMM.0006.Core.1
Calculus II Course Content
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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: www.ohiohighered.org/transfer.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:
Mathematics
Calculus
Material Type:
Full Course
Provider:
Ohio Open Ed Collaborative
Date Added:
09/26/2018
Calculus II Course Content, Applications of integration, Applications of integration module
Conditional Remix & Share Permitted
CC BY-NC
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After completing this section, students should be able to do the following.Understand linear density and its connection to mass.Calculate the mass of an objection with varying density.Understand work and how it is computed.Calculate work when force is varying.Know when to integrate a cross-section to solve a physics problem.Calculate work when distance is varying.

Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Date Added:
07/25/2019
Calculus II Course Content, Areas between curves, Areas between curves module
Conditional Remix & Share Permitted
CC BY-NC
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After completing this section, students should be able to do the following.Apply the procedure of “Slice, Approximate, Integrate” to derive a formula for the area bounded by given curves.Understand the difference between net and total area.Find the area bounded by several curves.Set up an integral or sum of integrals with respect to xx that gives the area bounded by several curves.Set up an integral or sum of integrals with respect to yy that gives the area bounded by several curves.Decide whether to integrate with respect to xx or yy.

Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Date Added:
07/24/2019
Calculus II Course Content, Differential equations, Differential equations module
Conditional Remix & Share Permitted
CC BY-NC
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After completing this section, students should be able to do the following.Identify a differential equation.Verify a solution to a differential equation.Compute a general solution to a differential equation via integration.Solve initial value problems.Determine the order of a differential equation. 

Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Date Added:
07/26/2019
Calculus II Course Content, Exponential models, Exponential Models Modules
Conditional Remix & Share Permitted
CC BY-NC
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After completing this section, students should be able to do the following.Compute derivatives of common functions.Compute antiderivatives of common functions.Understand the relationship between derivatives and antiderivatives.Use algebra to manipulate the integrand.Evaluate indefinite and definite integrals through a change of variables.Evaluate integrals that require complicated substitutions.Recognize common patterns in substitutions.

Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Date Added:
07/25/2019
Calculus II Course Content, Length of curves, Length of curves module
Conditional Remix & Share Permitted
CC BY-NC
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After completing this section, students should be able to do the following.Apply the procedure of “Slice, Approximate, Integrate” to derive a formula for the length of a curve segment.Understand the connection between the Pythagorean Theorem and the length of curves.Set up an integral or sum of integrals with respect to xx and yy that gives the length of a curve segment.Evaluate integrals that involve square roots.

Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Date Added:
07/25/2019
Calculus II Course Content, Numerical methods, Numerical methods module
Conditional Remix & Share Permitted
CC BY-NC
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After completing this section, students should be able to do the following.Understand what a slope field is.Understand what a slope field tells us about a differential equation.Define an autonomous differential equation.Understand and use Euler’s method.Sketch slope fields.Find equilibrium solutions.

Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Date Added:
07/26/2019
Calculus II Course Content, Separable differential equations, Separable differential equations module
Conditional Remix & Share Permitted
CC BY-NC
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After completing this section, students should be able to do the following.Identify separable differential equations.Solve separable differential equations.Find implicit solutions for separable differential equations.Identify steady-state (or equilibrium) solutions.

Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Date Added:
07/26/2019
Calculus II Course Content, Solids of revolution, Solids of revolution modules
Conditional Remix & Share Permitted
CC BY-NC
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After completing this section, students should be able to do the following.Understand what a solid of revolution is and the two ways to generate one.Use the procedure of “Slice, Approximate, Integrate” to derive the washer method formula.Use the procedure of “Slice, Approximate, Integrate” to derive the shell method formula.Set up an integral or sum of integrals using the washer method.Set up an integral or sum of integrals using the shell method.Compute volumes using the washer method.Compute volumes using the shell method.Determine whether to use washer or shell method given the variable of integration.Determine the variable of integration given the method.Determine if washer method or shell method is more convenient to set up a volume.

Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Date Added:
07/25/2019
Calculus II Course Content, Surface area, Surface Area Module
Conditional Remix & Share Permitted
CC BY-NC
Rating

After completing this section, students should be able to do the following.Know the definition of a frustum.Know how to compute the surface area of a frustum.Set-up an integral to compute the area of a surface of revolution in terms of xx.Set-up an integral to compute the area of a surface of revolution in terms of yy.Compute the area of a surface of revolution.

Subject:
Calculus
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Date Added:
07/25/2019
MATH 1152 CSCC Calculus 2
Unrestricted Use
CC BY
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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.

Review the license terms at https://github.com/XimeraProject/server/blob/master/LICENSE

Subject:
Mathematics
Calculus
Material Type:
Textbook
Provider:
Columbus State Community College
Author:
Kevin James
Lee Wayand
The Ximera Project
Tzy-Yi "Alan" Yang
Date Added:
01/10/2020