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• OH.TMM.0006.Core.2 - Approximate a definite integral by the Trapezoidal Rule and Simpson’s ...
• OH.TMM.0006.Core.2 - Approximate a definite integral by the Trapezoidal Rule and Simpson’s ...
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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.Describe the relationship between the product rule and integration by parts.Identify the functions required to transform the integral via integration by parts.Evaluate integrals using integration by parts, including multiple iterations.Use integration by parts to derive reduction formulas.

Subject:
Calculus
Material Type:
Module
07/25/2019
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After completing this section, students should be able to do the following.Understand how to break up fractions.Recognize integrals that are good candidates for the method of partial fractions.Use long-division to simplify rational expressions.Find the coefficients of partial fraction decomposition.Use partial fractions to integrate functions.

Subject:
Calculus
Material Type:
Module
07/25/2019
Conditional Remix & Share Permitted
CC BY-NC
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After completing this section, students should be able to do the following.Use reduction formulas and the Pythagorean identity to compute integrals involving trigonometric functions.Recognize the patterns that appear in trigonometric integrals, and use appropriate substitutions to compute them.Compute integrals involving powers of sine and cosine.

Subject:
Calculus
Material Type:
Module
07/25/2019
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CC BY-NC
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After completing this section, students should be able to do the following.Use Pythagorean identities to simplify expressions.Substitute trigonometric functions to simiplify integrals.Complete the square to change the form of an integral.

Subject:
Calculus
Material Type:
Module
07/25/2019
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.

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