The exam will cover the material in lectures 1 through 9 of the syllabus. This is, roughly, the material in sections 1.1 through 1.7 (the review material), 2.1 through 2.8 (limits and continuity) and sections 3.1 through 3.7 (definition of derivative, simple interpretations of derivative, and computation of derivatives).
The exam is scheduled for 80 minutes, from 1:40 PM to 3 PM on Thursday, October 8, in our usual lecture room. I will get to the classroom early and am willing to start early.

From the course coordinator
The course coordinator will be the primary writer of the uniform Math 151 final exam, intended for all sections of Math 151 and to be taken also by students in Math 153, so students should have some familiarity with the style of these problems.

• The course coordinator's formula sheet for the first exam
  This will be given out with the first exam in Math 153. 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
  These will be discussed in the workshop meeting on Wednesday, October 8, before the first exam so you probably do not need to look at this until then.

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 first exam in fall 2007
  This was given for a course using the same textbook and covering the same material as the first exam here. Here are answers to that exam.
• B My first exam in fall 2006
  This was given for a course using a different textbook and a slightly different syllabus. Here are answers to that exam.
  The Chain Rule is eligible on our exam (section 3.7) but was not tested on this exam. We have not yet discussed lim_x→∞ and lim_x→∞ and there will be no questions about such limits. We will cover such limits later (horizontal asymptotes). Please be aware (hint!) that limits whose values are +∞ and -∞ have been featured in the text (vertical asymptotes in section 2.2, for example).
• C My first exam in fall 2003
  Again, a different text and different syllabus. Here are answers to that exam.

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
1	1.1, 1.2, 1.3	Inequalities, intervals, functions. Types of functions.	A3b A5 A7 B8 C2
2	1.4, 1.5	Trigonometric functions. Inverse functions.	A1 A2 A6 B1 B6 C4 C5
3	1.6, 1.7, 2.1	Exponentials and logarithms. Use of graphing calculators.	A1 A7 B1
4	2.2, 2.3, 2.4	Tangents. Limits, numerically and graphically. Continuity. Laws of limits.	A7 A8 B4 C6
5	2.5, 2.6, 2.7	Evaluating limits. Trigonometric limits. The Intermediate Value Theorem.	A6 A7 A9 B5 (not d!) B6 C3 (not d!) C4
6	2.8, 3.1, 3.2	Definition of limit and derivative. Power rule.	A1 A3 A8 B1 B2 B4 B7 C1 C6
7	3.3, 3.4	Product and quotient rule. Rates of change.	A1 A4 A8 B1 B4 B7 C2 C5 (not d) C6 (not d) C7
8	3.5, 3.6	Higher derivatives. Differentiation of trigonometric functions.	A1 A2 B1 C5 (not d)
9	3.7	Chain rule.	A1 A2 B2 C5 (not d)

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 target but that's my aim.

Maintained by greenfie@math.rutgers.edu and last modified 9/26/2009.