Exam location & times: Olin Hall 317 at 9:00 a.m. (section 1) or Olin Hall 320 at 2:30 p.m. (section 2) on Friday, Oct. 20.

General Rules

• You are allowed one new 3"-by-5" note card with anything you wish written on both sides for use during the exam. You may also use your 3"-by-5" note card from Exam 1.
• No other notes or books are allowed at the exam.
• You must have your graphing calculator with you, with angular measure set to radian mode.
• A table of integrals will be provided, if needed.

The exam will have a selection of applications of the sort we have studied. Because of the short time available, the exam will not have a problem of every type, and the focus will be on getting approximating Riemann sums and setting up definite integrals to answer problems rather than on the numerical evaluation of the integrals to get the final answers. Chapter 8 applications of integration include:

• Geometric applications
  • Area
  • Volume by slicing, including solids of revolution
  • Arc length
• Polar coordinates
  • Graphing r as a function of angle theta
  • Areas of regions in polar coordinates
  • Arc length in polar coordinate--not on exam
• Density, total mass, and center of mass
  • Discrete mass distributions
  • One-dimensional continuous mass distributions
  • Two- and three-dimensional mass distributions--not on exam
• Applications to physics
  • Work
  • Force and pressure
• Financial mathematics
  • Present values
  • Future (accumulated) values
  • Discrete (lump) payments, continuous streams of payments
• Economics: consumer and producer surplus--not on exam
• Distributions and probability
  • (Probability) density function, pdf
  • Cumulative distribution function, cdf
  • Computing probabilities or fractions of a population
  • Mean
  • Median

• Look over your old homework assignments and in-class exercises.
• Do a few of the chapter 8 review problems and "Check Your Understanding" true/false problems.   Answers to odd-numbered problems are in the back of our text.
• For each section of the text that will be covered on the exam, write a summary of the underlying principles, crucial formulas, and key ideas you need to solve practical problems.
• Think carefully about what you want to write on your one note card.