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.

• The course coordinator's formula sheet for the second exam
  This will be given out with the second exam in Math 152H. Take a look at it so that you can be familiar with what's there if you need it. Students who need to consult such a formula sheet extensively usually don't know the material of the course well.
  No other formula sheets and no calculators may be used on the exam.
  
• The course coordinator's review problems
  We will discuss these problems on Wednesday, November 18, before the second exam so you can probably not look at this until then.

  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.

• The course coordinator's extensive notes on the review problems
  These are heavy duty hints for solutions and even, in many cases, complete solutions. Again, the link for this states:

  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:

• A My second exam in spring 2009
  This was given for a course using the same textbook but covering topics in the course which don't precisely match what's been done this semester. We had a different syllabus. Here are answers to that exam. Problem 8 on this exam would not be suitable for our second exam.
• B My second exam in spring 2008
  This was given for a course using a different textbook and a slightly different syllabus. Problem 8 on this exam would not be suitable for our second exam. Here are answers to that exam.
  
• C My second exam in spring 2007
  Again, a different text and different syllabus. Problems 4 and 8 on this exam would not be suitable for our second exam. Here are answers to that exam.
• D There is also the second exam given in Math 192 the last time I taught the course. Although the list of course content is close to what we've done, I taught that course somewhat differently and with somewhat different emphasis from our course. Problems 4, 5, and 8 on this exam would not be suitable for our second exam. Answers are here.
• E Here are a few more test questions about this material. There are two improper integral problems and one problem each about polar coordinates and parametric curves. Answers are available only for the improper integral problems, and are on the second page of this file.

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.