Been away for a while?

Check out our new building by clicking the picture on the right!

---

This WorkBook requires Mathwright Library Player 2000 to read it. To download the book, press the button on the left. A self-extracting file will be downloaded. Either save it to disk and execute it later, or simply select "Open it" from the popup dialog. This places the book, along with its documentation, on the Start, Programs, Mathwright Library menu, so that you may read it whenever you like.

Size: 195 KB

Find similar WorkBooks in the Rooms below:

Categories:

1. Class or Laboratory
2. Courses
3. Tools

Subjects:

1. Calculus
2. Differential equations
3. Difference equations
4. Integration
5. Physics
6. Exponential growth
7. Direction fields

Title: Raindrops

Book Description: The aim of this laboratory is to investigate a number of Initial Value Problems, and to develop a model for analyzing the behavior of Resistance-Inductor-Capacitor circuits, and falling raindrops. We will use Euler's Method for numerical approximation in this analysis, but will also highlight a few places where symbolic algebraic techniques are helpful. The theme of the lab is really to explore the interplay between graphical approximative techniques and algebraic techniques. This lab assembles a number of tools for studying IVPs derived both from differential equations and from difference equations and for comparing the results. We develop the properties of those tools along the way, so that you may use them in your own experiments.

Authors: James White and Samad Mortabit

Contained in Calculus 1 Course.

Suggested Use: For this laboratory, students are to write a self-contained, well-organized exposition and analysis of the interplay between graphical techniques and algebraic techniques for the study of IVPs. Their aim will be to present an overview of these issues, articulating clearly what they are, and how they have been addressed. Their report will thus be an essay whose aim is to present in a concise but clear way the computational and conceptual techniques that were explored as this theme is developed. There is, therefore no report page for this laboratory.

Topics: euler's method, differential equations, circuits, gradient, level sets, integration, direction fields

Number of Pages: 2

Animation: Yes

Grade Level: