Reading 0


Reading Review (particularly for people not coming right out of Math 1a.)
  • Section 5.1 Areas and Distances
  • Section 5.2 The Definite Integral
  • Section 5.3 Evaluating Definite Integrals
  • Section 5.4 The Fundamental Theorem of Calculus

    Reading Preview:
  • Section 6.1 More About Areas (excluding areas enclosed by parametric curves.)

    Key areas of focus :

    From 5.1-5.4: What is a Riemann Sum and why do they look the way they do? Understand the statements of both forms of the Fundamental Theorem of Calculus. Know the interpretation of the definite integral as signed area under a graph.

    In 6.1:Look at the area between curves in Figure 1: You may be accustomed to viewing this as the sum and/or difference of signed areas between a curve and the x-axis. Notice the different way of thinking about this presented in this section. Notice that Example 4 is a special case of the general idea that the area under a rate curve is the net change in amount. Understand the geometry behind integrating with respect to y (as in Example 5). Skip the part about Simpson's Rule in Example 4 and omit Areas enclosed by parametric curves.

    Reading Question (to be entered on your section's reading response website) :

    What questions arose in your reading that you would like to discuss in class? If you have no questions, then indicate what was most interesting about the reading.