__This page will change throughout the semester__.

Note: Previously given exams are available
below
in PDF format.

PDF
copy of the first exam

Answers
to the first exam

**The second exam**

The second exam will be on Wednesday, June 29, during the second part
of the class. It will cover from section 7.7 through section 8.3
of the text. (The section on numerical techniques will not be
covered
on this exam, but will be covered on the final exam.)

PDF
copy of the second exam

Answers
to the second exam

**The third exam**

The third exam will be on Wednesday, July 13. Since the exam
is somewhat more lengthy, we will start at 8:00 AM, and you will be
allowed
the full two hours. (There will be no break.) A scientific
calculator
will be useful. Be prepared to do the following:

- Set up and solve a word problem involving force and work or pressure.
- Given expressions for the demand curve and supply curve, find an equilibrium price, the producer surplus, and the consumer surplus.
- Given a probability density, compute the cumulative probability, the mean, the median, and the probability that the quantity lies in a certain interval.
- Set up and solve a word problem involving a finite geometric series.
- Determine whether or not a certain infinite series converges, and explain the reasons for your conclusions.
- Compute the radius of convergence of one or more power series.

PDF
copy of the third exam

Answers
to the third exam

**The fourth exam
**The fourth exam with be on Monday, July 25. It will
start at 8:30 (after a short discussion period at 8:00). There
will be no break. The exam will cover everything we covered in
class on Taylor polynomials and Taylor series.

PDF
copy of the fourth exam

Answers
to the fourth exam

The final exam will be on Saturday, July 30, 2005, 7:30AM to 10:00AM. Be able to do the following:

- Be able to compute definite and indefinite integrals, using any of the techniques learned in class (substitution, integration by parts, partial fractions, trigonometric substitutions, etc.).
- Be able to determine whether or not an improper integral converges. Be able to evaluate improper integrals that can be written in closed form.
- Be able to solve a word problem involving force and pressure.
- Be able to compute the volume of a solid of revolution.
- Be able to use one of the rules for approximate integration (such
as the trapezoid rule, midpoint rule, Simpson's rule, or composite
versions of these rules).

- Understand the error in approximate integration.
- Be able to write down and use Taylor polynomials.
- Understand how to bound the error in a Taylor polynomial
approximation.