Introduction to differential equations

Get inspired:

Glance at this Wikipedia article discussing the history and importance of rockets for defense, scientific research, space exploration, rescue, sport, and more. Differential equations -- and in particular, the basic understanding of the relationship between position, velocity, and acceleration -- have been, and continue to be, instrumental in the design of rockets.

By the end of this lesson, you should be able to:

  • Distinguish between algebraic equations and differential equations - [movie] [notes]
  • Determine the in/dependent variables in a differential equation - [movie] [notes]
  • Give examples of phenomena modeled by differential equations - [movie] [notes]
  • Translate verbal descriptions of change into differential equations, and vice versa - [movie] [notes]
  • Solve directly integrable initial value problems - [movie] [notes]
  • Explain and use the relationship between position, velocity, and acceleration - [movie] [notes]

Before class:

In class:

After class:

  • Do post-class problems.