The Calculus I 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 TMM005. 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 

After completing this section, students should be able to do the following.Understand the statement of the Extreme Value Theorem.Understand the statement of the Mean Value Theorem.Sketch pictures to illustrate why the Mean Value Theorem is true.Determine whether Rolle’s Theorem or the Mean Value Theorem can be applied.Find the values guaranteed by Rolle’s Theorem or the Mean Value Theorem.Use the Mean Value Theorem to solve word problems.Compare and contrast the Intermediate Value Theorem, Mean Value Theorem, and Rolle’s Theorem.Identify calculus ideas which are consequences of the Mean Value Theorem.

Overview of the Intermediate Value Theorem, the Extreme Value Theorem and the Mean Value Theorem.