## Section 6.1 - Slope Fields and Euler's Method

**Essential Question(s):**

What do slope fields illustrate?

What is the difference between a general solution and a particular solution?

**Follow**__these three steps__to complete this "flip" lesson.**STEP 1: Preparation**

__Title__your spiral with the heading above and

__copy__the essential question(s).

**STEP 2: Vocabulary & Examples**

__Answer__the follow questions. They address examples, vocabulary, rules, theorems, corollaries, procedures, and/or postulates. Following a

__Cornell notes format__, the questions should be written in the left-hand column and with the answers to the right of the question. Make sure to

__write enough to answer the question__.

__Differential Equations__

- Where do differential equations stem from?
- What is a differential equation and its order?
- What are the different types of solutions for a differential equation?
- What is different between solutions for a continuous or discontinuous curve?
- How can the FTC help with initial value problem?
- Why does the graph of a general solution consist of parallel curves or lines?

__Slope Fields__

- What is a slope field? (

__Euler's Method__

- What does Euler's Method do?
- What is Euler's Method?
- A note about movies and math. (sidebar)
- How would we know if the approximation is an over- or under-estimate?
- How can Euler's Method do a better job of approximating a curve?