After completing this section, students should be able to do the following.Define a series.Recognize a geometric series.Recognize a telescoping series.Compute the sum of a geometric series.Compute the sum of a telescoping series.

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.

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. 

After completing this section, students should be able to do the following.State the definition of a vector.Calculate the magnitude of a vector.Work with vectors in two or three dimensions.Multiply vectors by scalars.Add and subtract vectors.Find unit vectors.Use vectors in applied settings.

After completing this section, students should be able to do the following.Identify real numbers.Compute the distance between points.Find the equations for planes.Give the equation for a circle.Give the equation for a sphere or ball.

The College Algebra course was developed through the Ohio Department of Higher Education OER Innovation Grant. This work was completed and the course was posted in September 2019. The course is part of the Ohio Transfer Module and is also named TMM001. For more information about credit transfer between Ohio colleges and universities, please visit: www.ohiohighered.org/transfer.Team LeadNicholas Shay                                     Central Ohio Technical College (now at Columbus State Community College)Content ContributorsRachida Aboughazi                            Ohio State UniversityEvelyn Kirschner                                Columbus State Community CollegeDavid Kish                                          Ohio Dominican UniversityLibrarianDaniel Dotson                                    Ohio State University                     Review TeamFauna Donahue                                University of Rio GrandeJared Stadden                                   Kent State University Geauga 

This material covers Chapter 2: Equations and Inequalities chapter of the OpenStax College Algebra Text. This module contains an overview of learning objectives mapped to the OTM state standards, worksheets that correspond to chapter sections, interactive Desmos Activities that pair with the chapter, and a list of supplemental videos that correspond to the chapter content.Image by Rudy and Peter Skitterians from Pixabay 

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