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: 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.Use integral notation for both antiderivatives and definite integrals.Compute definite integrals using geometry.Compute definite integrals using the properties of integrals.Justify the properties of definite integrals using algebra or geometry.Understand how Riemann sums are used to find exact area.Define net area.Approximate net area.Split the area under a curve into several pieces to aid with calculations.Use symmetry to calculate definite integrals.Explain geometrically why symmetry of a function simplifies calculation of some definite integrals.