Introduction to differential equations

Learning objectives

  • Distinguish between differential equations and algebraic equations
  • Explain the meaning of each term of a modeling differential equation (DEs tell a story)
  • Recognize and solve  “The Most Important Differential Equation in the World”, the exponential equation \frac{dy}{dt} = k y
  • Approximate the solution of a differential equation using local linear approximations

Before class

  • Read Hughes-Hallett 10.1, 10.2, 10.4.
  • Ponder problems 10.1.2,4,6,8,10,12,13,14,15,16, 10.2.2,4,6,13,14,17, 10.4.14,16.
  • Consult the main points of the lesson

In class