What	Where	Link
Reading	Text – 4.9, 5.1 and 5.2
Worksheet	Website – The Area Problem	AreaProblem.pdf Worksheet 1 Solutions
Homework	WebAssign	WebAssign site for UW

Student Guide:

Section 5.1 introduces the area problem and Riemann Sums (although this term isn't introduced until section 5.2). You should note that you have some freedom in choosing the sample points. Note especially that using the midpoint gives a good approximation.

The definition of the Definite Integral as a limit of Riemann Sums is given in section 5.2. The concept of "area" vs. "signed area" is introduced. Many properties of integrals are given using area-based geometric arguments.

• In integral calculus, we study functions that are defined as the area under some other function. The key idea is breaking a region up into slices, approximating the area of each slice with a rectangle, and then adding the areas of the rectangles up to get an estimate of the area of the region. With this in mind, AreaProblem.pdf will explore the idea of an area function. It will also guide you through the computation of the area under the graph of y = 1/x.