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
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.
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.
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.
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.
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.
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