Math 125 Week 3: Dept of Math, Univ of Washington

Math 125 – Week 3

Week 2 outline

Math 125 main page

Week 4 outline

What Where Link

Reading Text – 6.1, 6.2 and 6.3

Worksheet Website – Area between curves AreaBetweenCurves.pdf
Worksheet 3 Solutions

Homework WebAssign WebAssign site for UW

Student Guide:

In Chapter 6, we learn some applications of integration. It is important to understand how the formulas are derived. This helps you to learn how to apply integration to the problems you encounter in other fields. We start with some more general area problems in Section 6.1. Make sure you can do an example where the curves cross each other. In some examples, approximation techniques are necessary. You can use a Riemann Sum with midpoint sample points to get a good estimate.

Sections 6.2 and 6.3 cover volumes of solids of revolution. Many students have trouble visualizing these 3D solids. You should understand when to integrate with respect to x or y, and when to use shells or washers.

We can use integration to compute the area of a region that is bounded by curves. The examples given in the textbook are all fairly straightforward. The worksheet AreaBetweenCurves.pdf will guide you through the computation of the area of a more complicated region. It also explores the possible simplification of a problem by changing the integration variable.

Week 2 outline

Math 125 main page

Week 4 outline