Math. 301-02, Summer, 2005 Hints for the Exams
Baker Kearfott, Department
of Mathematics, University of
and telephone, Email: email@example.com.
This page will change throughout the semester.
/ The first exam
The Second Exam / The
Third Exam / The Fourth Exam / The
Final Exam /
Note: Previously given exams are available
in PDF format.
The first exam
The first exam will be on Wednesday, June 15, during the second part of
the class (after the break). It will cover through section 7.4 of
the text (algebraic identities and trigonometric substitutions).
To study, make sure you have done all of the problrems in the
Also, it may be useful to review exams I have given the previous times
I have taught the course.
copy of the first exam
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
on this exam, but will be covered on the final exam.)
copy of the second exam
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
the full two hours. (There will be no break.) A scientific
will be useful. Be prepared to do the following:
- Set up and solve a word problem involving force and work or
- Given expressions for the demand curve and supply curve, find an
price, the producer surplus, and the consumer surplus.
- Given a probability density, compute the cumulative probability,
the median, and the probability that the quantity lies in a certain
- Set up and solve a word problem involving a finite geometric
- Determine whether or not a certain infinite series converges, and
the reasons for your conclusions.
- Compute the radius of convergence of one or more power series.
copy of the third exam
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.
copy of the fourth exam
to the fourth exam
The final 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