http://interval.louisiana.edu/courses/270/fall-2005-math-270_exam_hints.html
Math. 270-05, Fall, 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.
This page will change throughout the semester.
/ The first exam
/
The Second Exam / The
Third Exam / The Fourth Exam / The
Fifth Exam / The Final Exam / The
main page for the course /
Note: Previously given exams are available below
in PDF format.
The first exam
The first exam will be on Friday, September 9, 2005. It will include
all of Chapter 1. You will need to bring your own paper to present
your answers, and you will find a scientific calculator useful. (Contact
me
if that is a problem.) Pay particular attention to the following:
-
Exponential models of growth and decay. (Expect a word problem in
which you will need to answer several questions.)
-
Rates of growth of functions of various kinds, including polynomials, rational
functions, logarithms, exponentials, etc. Be able to compare the
rates of growth of different functions.
-
Solution of equations that contain the variables in exponents.
-
The limit notation; existence of limits (or not), and computing limits.
Copy
of the first exam (PDF)
Answers
to the first exam (PDF)
The second exam
The second exam will be on Monday, September 26, and
will cover all of Chapter 2 (the concept of a derivative).
If you have done all of the assigned problems on the syllabus and have
done the review problems, then you should be well-prepared.
Copy
of the second exam (PDF)
Answers
to the second exam (PDF)
Second exam, second chance
This exam will be similar to the first try of the second exam, except
that derivatives of exponential functions may be included. It will
be on Monday, October 3. As indicated in class, the grade for exam
2 will be the maximum of the two grades on the two chances for the second
exam. Be sure to bring your student ID to class on October 3.
Copy
of the second exam, second chance (PDF)
Answers
to the second exam, second chance (PDF)
The third exam
The third exam will be on Tuesday, October 25, and will cover the material
in Chapter 3 of the text. In particular:
-
Expect a number of problems where you routinely apply rules learned (such
as the power rule, product rule, quotient rule, and chain rule) to find
derivatives.
-
Expect a word problem involving the chain rule.
-
Expect a problem involving evaluating the derivative of the inverse
of a function at a point (using the connection between the chain rule and
inverses).
-
Expect a problem where you are to apply the theory from Section 3.10 (the
mean value theorem, the increasing function theorem, and the "racetrack
principle") to answer some questions about a function.
Copy
of the third exam (PDF)
Answers
to the third exam (PDF)
The fourth exam
The fourth exam will be on Friday, November 11. Problems representative
of the material in Chapter 4 of the text will be on the exam.
Copy
of the fourth exam (PDF)
Answers
to the fourth exam (PDF)
The fifth exam
The fourth exam was on Thursday, December 1. Problems representative
of the material in Chapter 5 of the text were on the exam.
Copy
of the fifth exam (PDF)
Answers
to the fifth exam (PDF)
The final exam
The final exam will be on Wednesday, December 5 in our usual room (MDD
309) between 10:15 AM and 12:45 PM. The exam will be closed-book,
but you can use a scientific calculator. You will need to bring your
own paper. The exam will be comprehensive, and will consist of either
problems from the text or modifications of problems from the text.
Pay close attention to:
-
limits
-
word problems involving exponential growth and decay
-
oscillations and differentiation of trigonometric functions
-
word problems involving related rates
-
parametric equations
-
computing the integrals of polynomials
-
interpretation of the integral as an algebraic sum of areas
(There may be other items occurring on the final in addition to those listed
above.)
Copy
of the final exam (PDF)
Answers
to the final exam (PDF)