http://interval.louisiana.edu/courses/301/summer-2005-math-301_exam_hints.html

### Math. 301-02, Summer, 2005 Hints for the Exams

Instructor: R. Baker Kearfott, Department of Mathematics, University of Louisiana at Lafayette
Office hours and telephone, Email: rbk@louisiana.edu.

/ The first exam / The Second Exam / The Third Exam / The Fourth Exam / The Final Exam

Note:  Previously given exams are available below 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 syllabus.  Also, it may be useful to review exams I have given the previous times I have taught the course.

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

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.

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.

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 approximation.