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