Topic outline

  • CALCULUS VOLUME 3


    This comprehensive course contains 7 sections with 50 self-grading lessons, including final assessments. The first section is available to try for free.

    This Trial Site is for evaluation purposes and for trying out in your LMS only. User names will be visible to everyone using it, so don't use this trial site with real students or for actual assignments! To view each lesson, POP-UPs MUST BE ENABLED in your browser.

  • Parametric Equations and Polar Coordinates


  • Parametric Equations and Polar Coordinates - Final Assessment


    This is the final assessment for Parametric Equations and Polar Coordinates. (Available when you subscribe.)


    • This topic

      TEACHERS: Subscribe to the FULL COURSE today!

      The full course includes all 50 lessons, including 7 Final Assessments with Instructor Answer Keys. 

      Subscribe to unlock the rest of this course in the Blending Space: The Blending Space is your own exclusive teaching space where you can blend all of your resources with a ready-to-use comprehensive course. Use your course right away, or customize it to your needs.

      The Blending Space features:

      • Lessons and assessments that automatically grade and report to your LMS grade book
      • Control over each lesson: Schedule, set attempts, re-arrange, hide/show, and use lessons in any order
      • Create new activities and resources
      • Add your own resources
      • Analytics Dashboard with at-a-glance reporting charts, grades, course analytics, student progress, quiz attempts and feedback
      • Free updates and support

      Lessons and Assessments feature:
      • Knowledge check quizzes in every lesson
      • Instant quiz feedback to students
      • Automatic grading and reporting to the Grade Book
      • Interactivity, links to learning, videos, examples, exercises, case studies, and more
      • Use with all of your classes, all year long! There is no cost to students.

      Subscribe today for just $199 per year. 
      Just visit our 
      Library, select any course, and then choose Teacher License. There is no cost to students.

      Institutions can purchase access to our courses through our BLENDING EDUCATION Microlearning Library App. Learn more.



      • Vectors in Space


        2.1. Vectors in the Plane
        2.2. Vectors in Three Dimensions
        2.3. The Dot Product
        2.4. The Cross Product
        2.5. Equations of Lines and Planes in Space
        2.6. Quadric Surfaces
        2.7. Cylindrical and Spherical Coordinates
        Final Assessment

        • Vector-Valued Functions


          3.1. Vector-Valued Functions and Space Curves
          3.2. Calculus of Vector-Valued Functions
          3.3. Arc Length and Curvature
          3.4. Motion in Space
          Final Assessment

          • Differentiation of Functions of Several Variables


            4.1. Functions of Several Variables
            4.2. Limits and Continuity
            4.3. Partial Derivatives
            4.4. Tangent Planes and Linear Approximations
            4.5. The Chain Rule
            4.6. Directional Derivatives and the Gradient
            4.7. Maxima/Minima Problems
            4.8. Lagrange Multipliers
            Final Assessment

            • Multiple Integration


              5.1. Double Integrals over Rectangular Regions
              5.2. Double Integrals over General Regions
              5.3. Double Integrals in Polar Coordinates
              5.4. Triple Integrals
              5.5. Triple Integrals in Cylindrical and Spherical Coordinates
              5.6. Calculating Centers of Mass and Moments of Inertia
              5.7. Change of Variables in Multiple Integrals
              Final Assessment

              • Vector Calculus


                6.1. Vector Fields
                6.2. Line Integrals
                6.3. Conservative Vector Fields
                6.4. Green’s Theorem
                6.5. Divergence and Curl
                6.6. Surface Integrals
                6.7. Stokes’ Theorem
                6.8. The Divergence Theorem
                Final Assessment


                • Second-Order Differential Equations


                  7.1. Second-Order Linear Equations
                  7.2. Nonhomogeneous Linear Equations
                  7.3. Applications
                  7.4. Series Solutions of Differential Equations
                  Final Assessment

                  • TEACHERS: Subscribe for just $199 per year

                    Subscribe for just $199/yr to unlock the rest of this course in the Blending Space.

                    Get your exclusive, private course for you and your students today!


                    Subscribe