Topic outline

  • CALCULUS VOLUME 2 COURSE


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

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  • Integration


  • Integration - Final Assessment


    This is the final assessment for Integration. (Available when you subscribe.)

    • This topic

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      • Applications of Integration


        2.1. Areas between Curves
        2.2. Determining Volumes by Slicing
        2.3. Volumes of Revolution: Cylindrical Shells
        2.4. Arc Length of a Curve and Surface Area
        2.5. Physical Applications
        2.6. Moments and Centers of Mass
        2.7. Integrals, Exponential Functions, and Logarithms
        2.8. Exponential Growth and Decay
        2.9. Calculus of the Hyperbolic Functions
        Final Assessment

        • Techniques of Integration


          3.1. Integration by Parts
          3.2. Trigonometric Integrals
          3.3. Trigonometric Substitution
          3.4. Partial Fractions
          3.5. Other Strategies for Integration
          3.6. Numerical Integration
          3.7. Improper Integrals
          Final Assessment

          • Introduction to Differential Equations


            4.1. Basics of Differential Equations
            4.2. Direction Fields and Numerical Methods
            4.3. Separable Equations
            4.4. The Logistic Equation
            4.5. First-order Linear Equations
            Final Assessment


            • Sequences and Series


              5.1. Sequences
              5.2. Infinite Series
              5.3. The Divergence and Integral Tests
              5.4. Comparison Tests
              5.5. Alternating Series
              5.6. Ratio and Root Tests
              Final Assessment


              • Power Series


                6.1. Power Series and Functions
                6.2. Properties of Power Series
                6.3. Taylor and Maclaurin Series
                6.4. Working with Taylor Series
                Final Assessment


                • Parametric Equations and Polar Coordinates


                  7.1. Parametric Equations
                  7.2. Calculus of Parametric Curves
                  7.3. Polar Coordinates
                  7.4. Area and Arc Length in Polar Coordinates
                  7.5. Conic Sections
                  Final Assessment


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