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.

Complete course available at MyOpenMath. Course ID: 144815  With the use of the Openstax Calculus 3 textbook.This work is a part of the growing collection of openly licensed course content that was revised, remixed or created by Owens faculty and staff. This course is specifically for the course MTH 233 at Owens. Owens Community College Contributors: Sarah Long.

Course Shell is available at MyOpenMath. Course ID: 149136  With the use of the Openstax Calculus 2 textbook. This work is a part of the growing collection of openly licensed course content that was revised, remixed or created by Owens faculty and staff. This course is specifically for the course MTH 232 at Owens. Owens Community College Contributors:  Laud Kwaku, Sarah Long, and Michael Sprowls.

Calculus is about the very large, the very small, and how things change—the surprise is that something seemingly so abstract ends up explaining the real world.

This course is a first and friendly introduction to calculus, suitable for someone who has never seen the subject before, or for someone who has seen some calculus but wants to review the concepts and practice applying those concepts to solve problems. One learns calculus by doing calculus, and so this course is based around doing practice problems.

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.