Math 125: Week 9
| Week 8 outline | Math 125 main page | Week 10 outline |
| What | Where | Link |
|---|---|---|
| Reading | Text -- 9.1, 9.3 | |
| Worksheet | Website -- Newton's law of cooling |
DiffEQ.pdf Worksheet Solutions |
Student Guide:
After finishing any remaining material from Section 8.3 (Center of Mass), we then move on to the last topic in the class, namely Differential Equations. The notation and terminology are introduced in Section 9.1. Building a differential equation from a written description of a situation is discussed. General Solutions and Initial Value Problems are contrasted. Population growth models may be discussed.
In section 9.3 a method for solving a certain type of diff eqs is introduced, where one separates the variables and then integrates each side, using the integration techniques we have been studying this quarter. It is important to understand how one separates the variables correctly.
A large number of applied problems in Physics, Engineering, Economics and other areas can be modeled using Differential Equations. They are often very difficult to solve, however we will focus on a few types of situations where the resulting diff eqs can be solved via separation of variables.
WORKSHEET: Differential Equations have many interesting and useful applications. The worksheet DiffEQ.pdf will introduce you to two of these, Newton's Law of Cooling and a model for the spread of a rumor. Both involve differential equations that can be solved by the method of Separation of Variables. The worksheet gives a step-by-step introduction to this method.