Math 42 Autumn 2013
Math 42 is a 5-credit second-term course in calculus with an accelerated pace -- the class covers techniques
of integration, applications of integration, differential equations,
infinite sequences and series, and Taylor polynomials. Although everyone
is welcome in the course, it is aimed primarily to students who have taken
Math 41 (or who have equivalent preparation) and will continue taking more advanced quantitative classes which require a strong calculus
background. There are at least two other math courses which may be appropriate for students considering
Math 42, so you should be deciding in the first week or so whether Math 42
is the right class for you.
If you successfully took Math 41 recently and wish to continue studying
calculus, either as background for other subjects or purely out of interest,
then Math 42 should be the best class for you.
However, be warned that Math 42 moves just as quickly as Math 41 but covers
more difficult material. So you can expect Math 42 to be more work than
Math 41 was, especially if you had calculus in high school and that background
helped you through Math 41.
If you haven't taken the first half of single-variable calculus recently, you should consider the Math 19-20-21 series instead -- starting with either Math 19 in the fall quarter or Math 20 in the winter, as appropriate to your background. This is especially true if you are taking math purely
out of interest or to satisfy a breadth requirement and don't plan to take Math 51 or other
more advanced classes -- even if you did well in calculus in high school.
Math 19-20-21 cover exactly the same material as Math 41-42, spread over
three quarters instead of two. The non-accelerated pace of Math 19-20-21 makes
it easier for students who have been away from calculus for a while to get
their feet under them, and the 3-credit workload of Math 19 or 20 may be preferable to
students who don't plan to continue taking math courses.
Completing Math 21 in the spring quarter also gives you the
appropriate background to take Math 51 if you choose to do so later.
One quick heads-up to those who haven't taken Math 41 and do decide to take
Math 42 this quarter: Math 41 covers a couple of topics which
are not on the Calculus AB syllabus, and which you therefore may not have
seen in high school. In particular, we covered l'Hopital's Rule (which
will not be discussed much in Math 42, but will come up in passing) and
integration by parts (which will be treated in Math 42).
Finally, to any students who have already seen and are comfortable with most
of the material in Math 42, but don't feel quite ready for Math 51: you should
know that Math 42 and Math 51 cover very different material, and seeing the
material in Math 42 again will not substantially improve your preparation for
Math 51. You're probably better off diving right into Math 51.
On Registrar deadlines: Please pay careful attention
to all Registrar
deadlines, especially the add/drop deadline at the end of
the third week of classes.
- Dr. Daniel Berwick-Evans, Instructor ()
Lectures: 01 (MWF 11-11:50am, 200-034), 04 (MWF
- Beniada Shabani, Teaching Assistant ()
Discussions: 05 (TTh , 1:15-2:05pm, Sequoia Hall 200), 06 (TTh
2:15-3:05pm, Herrin T185)
- Fernando Shao, Teaching Assistant ()
Discussions: 02 (TTh, 10-10:50am, Sequoia Hall 200), 03 (TTh, 11-11:50am, 320-106)
- Daniel Jerison, Teaching Assistant ()
Discussion: ACE (TTh 2:15-4:05, 380-Y)
The textbook is Single Variable Calculus: Concepts and
Contexts, 4th edition, by James Stewart. This is the same
textbook used in Math 41 (and it is also used by Math
19, 20, and 21). We will cover most of the material from the
second half of Chapter 5 to the end of the book. Most homework
exercises and reading assignments are taken from the book, so
you should have access to a copy throughout the quarter. (It is not recommended that
you try to use a copy of an older edition: although the text is
very similar, some examples, some of the homework problems, and
most of the problem numbers will be different.)
Each week you will attend three lectures and two discussion
sections. The lectures are on Monday, Wednesday and Friday,
either at 11am, or 1:15pm. The discussion sections are on
Tuesday and Thursday. See the Section
Assignments page to view the choices for times and
locations and instructions on the sign-up process. You will
sign up for a discussion section via CourseWork, and your
available options will depend on your lecture instructor.
The lectures will be used primarily to introduce concepts
and develop theory, and serve as a complement to the course
textbook. You can get the most out of lecture by having first
read the relevant sections in the textbook (as set in the
calendar of topics on the course schedule page). In the discussion
sections, you meet with your Teaching Assistant in a smaller
group. Much of the time in section will be used for example
problems based on topics developed in lecture and the textbook.
Attendance at all lectures and sections is required. If you
miss a lecture or a section, it is your responsibility to catch
up on the topics that you missed. You should keep in mind that
in this course, the material builds on itself; if you miss some
of the material, subsequent lectures will be more difficult (or
even unintelligible) for you.
There will be weekly homework assignments. For more information
and policies, see the Homework
Calculators will not be used in a systematic way in Math 42.
Calculators will not be allowed on any of the exams, nor should
there be any need for one. Occasionally, homework problems may
call for the use of a scientific or graphing calculator.
The midterm exams will be held in the evenings on
October 15th and November 14th. The exact times and
locations and other information will be posted on the Exam Information page. If you have a
schedule conflict with one of the midterm exams due to another
course meeting, you must
at least one week before the exam to arrange to take it at an
alternate (early) sitting. (The same deadline holds for OAE
accomodation requests; see below for
The final exam will be held on Monday, December 9th. You must take the final
exam at this time, which is set by the University.
All of the exams are closed book, closed notes, with no
electronic aids. For each exam, if appropriate, you may be
provided with a formula sheet, which will be available on the
exam materials page prior to the exam,
along with other study materials.
Your grade will be based on the following components:
- Weekly Homework: 10%
- Total points earned on all exams (midterms and final):
Points available on exams: The total points available
on the exams will be in approximate proportion 2:2:3. That is,
the first and second midterm exams will have approximately
equal numbers of total points available, and the number of
points available on the final exam will be approximately 1.5
times those available on a single midterm exam.
There are no predetermined numerical cutoffs for letter
grades, and the cutoffs may turn out to be rather different
from what you are accustomed to from high school. In general,
the grade distribution for the class is usually (roughly) as
follows: around 30% of the class receive A's, around 40%
receive B's, and most of the rest receive C's.
CourseWork is a
web-based program that will be used in Math 42 to allow
students to check grades online. It is a secure program, so
your grades will be available through CourseWork only to you.
Every student must sign into CourseWork and choose a discussion
section. CourseWork will be our primary gradekeeping
tool; if you do not sign up, you could lose credit for work
that you have done. This is completely independent of signing
up for the course on Axess -- neither program has any knowledge
of the other.
Before you sign into CourseWork, make sure you read the Section Assignments page, which
contains instructions on the sign-up process for discussion
Again, remember that Axess and CourseWork are different
programs, and you will sign up for different course components
on each -- on CourseWork, you sign up for a discussion section
based on the table on the Section
Assignments page, but on Axess you sign up
for a lecture.
Despite its other capabilities, in this class CourseWork
will be used only for grades and possibly email announcements.
- Some very good advice for college calculus students.
Read this carefully and do as it suggests.
Note: Pay particular attention to #3 under
"Weekly" and #6 and #7 under "Before the exam". Students
who think they're following these tips often overlook
those parts, and they're the most important ones!
Although this document is a bit on the long side, you
should read at least some of it carefully -- you'll do
better in your math classes because of it. We encourage
you to pay particular attention to the sections: bad
handwriting, all of the algebra
notations, and going
over your work.
- Your first resource for help outside of class meetings
should be the course instructors and teaching assistants.
You are encouraged to attend any of their office-hour
sessions, not just those for your lecture or section
leader, and no appointment is necessary at the times
posted. In office hours we welcome any kind of question;
we are here to help you and ready to explain the same
thing as many times as necessary. You can also email us,
but keep in mind that questions in office hours are
answered more quickly and more clearly.
Tutoring by SUMO undergraduate members (free, but
priority goes to Math 50-series students)
- Math 42A students are part of the ACE program, short for
"Accelerated Calculus for Engineers." More information
about the program can
be found here.
- Statement from the Registrar concerning students with
- "Students who may need an academic accommodation based
on the impact of a disability must initiate the request
with the Office of
Accessible Education (OAE). Professional staff will
evaluate the request with required documentation,
recommend reasonable accommodations, and prepare an
Accommodation Letter for faculty dated in the
current quarter in which the request is being made.
Students should contact the OAE as soon as possible since
timely notice is needed to coordinate
accommodations. The OAE is located at 563 Salvatierra
Walk (phone: 723-1066)."
- By Math Department policy, any student found to be in
violation of the Honor Code on any assignment or exam in
this course will receive a final course letter grade of