The exam will primarily concentrate on questions regarding material
from lectures 11 through 20 of the syllabus. The reason for the
phrasing "primarily concentrate" is that certainly some of the earlier
material in the course (for example, methods of integration -- it is
legitimate for me to ask for an antiderivative using some
simple integration by parts) will be needed to handle some of the
questions in the exam. The course is somewhat cumulative. A difficulty
in comparing exams in this course and previous instantiations is that
the syllabus was changed for this semester. The topics to be covered
in the whole course will be the same, but the order has been revised.
The exam is scheduled for 80 minutes, from 5 PM to 6:20 PM on
Thursday, November 19, in our usual classroom for Thursdays. I will
get to the classroom early and am willing to start early and maybe
stay, at least slightly, late.
From the course coordinator
The course coordinator will be the primary writer of the uniform Math
152 final exam, intended for all sections of Math 152, so students
should have some familiarity with the style of these problems.
Please note that the course coordinator's problems cover a bit more material than our exam will cover, so parts c) and d) of problem 13 are not relevant for this exam, nor is part b) of problem 18. And problem 19, on conditional and absolute convergence, should also be skipped in this review.
Spoiler Alert
Looking at these notes before you have worked seriously through the problems will make the review problems much less useful to you.
If you haven't finished working on them yourself, you are better off coming back to this page later to print out these notes.
From the instructor
I will write the exam you will take so you should be familiar with my
"style".
The cover sheet for your exam will state:
No texts, notes, or calculators may be used on this exam other than the formula sheet supplied with this exam. Find exact values of standard functions such as e0 and sin(Π/2). Otherwise do NOT "simplify" your numerical answers! |
My old exam problems in relation to our syllabus
Here is a list of problems from those old exams "keyed" to each section
of the syllabus. This may be useful to you.
Lecture | Sections | Topics | My exam problems |
---|---|---|---|
11 | 7.7 | Improper integrals We actually spent two lectures on this material. |
B7 E1 E2 |
12 | 8.1 | Arc length and surface area | A9 B2 |
13 | 11.1, 11.2 | Parametric equations | E3. For more problems, please see the course coordinator's review set. |
14 | 11.3, 11.4 | Polar coordinates | E4. For more problems, please see the course coordinator's review set. |
15 | 9.1 | Solving differential equations, part 1 | A2 C2 D2 |
16 | 9.2, 9.3 | Solving differential equations, part 2 | A3 B1 C1 D1 |
17 | 8.4 | Taylor polynomials | A1 B3 B4 |
18 | 10.1 | Sequences | A6 B5 C7 |
19 | 10.2 | Summing an infinite series | B5 C5 D3 D9 |
19 | 10.3 | Convergence of infinite series | A4 A5 A7 B6 B7 C3 C6 D6 D7 |
My design criteria for calculus exams
I try to ask questions about most (hopefully all) important topics
which were covered in the period to be tested. I try to avoid asking
problems which require special "finicky" tricks, and do try to inquire
about techniques which are broadly applicable.
I want to give, on any calculus exam, questions which require reading and writing graphical information, reading and writing symbolic information, reading and writing quantitative information ("numbers"), and, finally, some question(s) requiring students to exhibit some reasoning and explanation, appropriate to the level of the course and also recognizing the limited time of an exam. I certainly don't always "hit" this complicated target but that's my aim.
Maintained by greenfie@math.rutgers.edu and last modified 11/10/2009.