• Chapter 18 – Integration

     

    When students have completed this lesson they should be able to:

    • Understand and be able to find integrals using both direct and reverse substitution
    • Find new limits of integration when a definite integral is evaluated by substitution
    • Recognize the form ∫f’(x)/f(x) dx, and be able to write down the integral at sight
    • Know and be able to apply the method of integration by parts

     

    Chapter 19 – Differential Equations

     

    When students have completed this lesson they should be able to:

    • Find general solutions of these equations, or particular solutions satisfying given initial conditions
    • Know the relation connecting the derivatives dy/dx and dx/dy, and understand its significance
    • Formulate differential equations as models, and interpret the solutions