# Introduction to differential equations

Learning objectives

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

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
• Join a team for the second course project

In class

• Conduct discussion.
• Do StartR, Chapter 7 (example on page 71).