## Section 7.1 - 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__

- What is a differential equation and its order? (pg 329)
- How do you solve a differential equation? (Ex 1 pg 329)
- How do you solve an initial value problem? (Ex 2 pg 329 and the paragraph above)
- How is discontinuity addressed with an initial value problem? (Ex 3 pg 330)
- How is the Fundamental Theorem of Calculus used to solve an initial value problem? (Ex 4 pg 330)
- How do you graph a general solution of a differential function? (Ex 5 pg 330)

__Slope Fields__

- What is a slope field? (page 331-332)

__Euler's Method__

- What is Euler's Method? (page 333)
- How is Euler's Method used? (Ex 9 pg 333)

- Read pages 329 - 333.
- Make sure to read the paragraphs between the examples and sidebar snippets.