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Math 21 is a 4 credit course in introductory
calculus, second in the Math 19-20-21 sequence. The class provides
an introduction to the idea of infinite accumulation, first in the
form of improper integral and then for series. A one-page summary of the
important information from this webpage can be found here, and a more detailed
breakdown of the schedule and homework can be found at the Course Schedule page.
Students are expected to have a strong foundation in precalculus, such
as comfort with the concept of functions, equations of lines, trig
and inverse trig, ability to manipulate algebraic expressions,
factoring polynomials, etc. Further, students are expected to be familiar with the material of
Math 19 and Math 20. In particular, students should be comfortable with the
idea of a limit, the idea of the derivative and the integral, and taking
derivatives/integrals of a wide range of functions. Students
should know (and know when to apply) the product rule, chain
rule, substitution, and integration by parts. Students who are unsure of their
background should see their instructor as early as
possible. Students who want to brush up on their precalculus
skills can find more resources on this page.
- Dr. Susie Kimport
Lectures: MWF 9:30-10:20, 10:30-11:20 (both in 380-380Y)
- Dr. Jorge Acosta
Lectures: MWF 11:30-12:20, 1:30-2:20 (both in 380-380Y)
- Jun Gao
Sections: Tu 9:30-10:20, 10:30-11:20 (both in Herrin T195)
- David Benjamin Lim
Sections: Tu 11:30-12:20, 12:30-1:30 (both in Science Teaching and
Learning Center 104)
- Alessandro Masullo
Sections: Tu 9:30-10:20, 10:30-11:20 (both in 200-202)
- Weston Ungemach
Sections: Tu 11:30-12:20, 12:30-1:20 (both in Herrin T195)
You are encouraged to attend the office hours
provided by any of the instructors or teaching assistants,
regardless of which lecture/section you are enrolled in. No
appointment is necessary, just drop in at the scheduled
office hours with your questions!
The scheduled office hours for any given week can be
found on the Office Hours page. Note that they might
change slightly from week to week so it's always a good
idea to check both the time and location before walking
all the way across campus.
In addition to office hours, there is an
undergraduate tutor hired by the Math Department to help
anyone in the Math 19-20-21 sequence. Their hours are
included in the Office Hours calendar.
The Office of the Vice Provost for Teaching and Learning
offers free drop-in and individual appointment tutoring in
the following Math courses: Math 19, 20, 21, 41, 42, 51,
52, 53. To schedule an individual appointment, visit
view our drop-in schedule and to view information about
tutoring for other courses, visit tutoring.stanford.edu.
The textbook for this course is Calculus: Single
Variable, 6th edition,
by Hughes-Hallett, Gleason, McCallum, et al. (This was
the textbook for Math 19 and Math 20.) This course mainly focus on topics
from Sections 7.6 and 7.7, as well as Chapters 9 and 10.
Most homework exercises and suggested reading are
taken from the book, so you should have a copy. It is not recommended that you use a copy of a
different edition, since the homework problems will come from the 6th
edition and the numbering may be different.
For your convenience the textbook is
available for purchase at the Stanford bookstore. However, this is a
pretty standard textbook and you might be able to buy it elsewhere new
or used for a lower price.
Students are strongly encouraged to attend the
lecture they are registerd for. However, we recognize
that schedules can vary week-to-week, so you are invited
to attend whichever lecture works subject to available seating!
Discussion sessions are a great additional resource
we have in Math 21. Held at various times on Tuesdays
this term, they will provide opportunities to
see more guided examples and try your hand at exercises
with a member of the teaching team present. More exposure
to and practice with the material will greatly add to your
You are required
to attend discussion session with a TA at least
5 weeks of the term, though we strongly encourage you to
have it in your schedule every week. Failure to do so
will impact your grade.
enroll in a discussion section via Axess. If you
only enrolled in a lecture and not a section, you will
need to drop your lecture and the re-enroll, being sure to
select a discussion section.
Your grade will be based on the following components:
- Homework: 10%
- Participation in TA sections: 5%
- Midterm Exam 1: 25%
- Midterm Exam 2: 25%
- Final Exam: 35%
There are no predetermined numerical cutoffs for letter grades.
There will be weekly homework posted on the homework page.
Your solutions to the assigned homework will be graded and returned to you.
Homework will be due every week on
Wednesday at 9am. For details about handing in your
homework, see the homework page.
Upon enrollment in the course, all subsequent homework
assignments will count towards your homework grade. If you enroll
by April 12, you are elligible to have your lowest
homework score dropped from your total score at the end of
the quarter. To qualify for this, you must complete the
assignment at this
link by 5pm on April 12.
Late homework will be accepted only under very exceptional
Homework and the Honor Code
You are bound by the Stanford Honor Code for all
work submitted for Math 21, including the homework
assignments. For homework, we encourage you to use your
book and all your notes, come to office hours, talk with
any tutor(s) you have, and collaborate with your peers.
We believe that thinking about math and conversing about
math is an important part of the learning process.
However, we expect that the work you submit reflects
of the problem and how to solve it. If you work on a
problem with someone else, DO NOT copy their
solution and instead, write it up on your own.
Finding a solution off of the
internet, copying it without thought onto your homework, and then
submitting it for credit is a violation of the Stanford
Honor Code and will be addressed as such.
There will be two EVENING midterm exams and a university scheduled
final exam. Most of the problems on the exams will be similar to the
problems in the weekly homework, but there will always one or two
harder problems. The material covered by each exam is given by the
suggested reading and homework, including the practice problems.
exams for Math 21 this quarter are closed-book, closed-notes, with no
calculators or other electronic aids permitted. Individual exams will
be neither curved nor scaled.
The evening midterm dates are given below; it is your responsibility to verify right now
to you can attend these exams. Please contact your instructor
as soon as possible if you will not be able to attend one of the
midterms. In any case, if you need to reschedule the exam you must do
so no later than two weeks before the exam. The final exam cannot be
rescheduled, per department policy.
You will have assigned seating for exams. The seating
chart will be posted in the exam classroom on the day of the exam; you
are responsible for arriving a few minutes early to find your seat
before the exam starts. Failure to sit in your assigned seat will be
considered a breach of the Stanford Honor Code and be handled
If an emergency occurs and you need to miss an exam, contact your instructor as soon as possible.
- Midterm 1: Wednesday, April 26, 8:00pm - 9:30pm
- Midterm 2: Wednesday, May 17, 8:00pm - 9:30pm
- Final exam: Friday, June 9, 7:00pm - 10:00pm
For more informaiton, see the Exams page.
If you have an academic or physical disability which
requires academic accommodations, please obtain a
letter from the Office of Accessible Education. Once
you have done so, please let the instructor know as
soon as possible so that proper accommodations can be
For accommodations on exams, your instructor
must have your letter from OAE no later than one week
prior to the exam. Otherwise, we may not have
sufficient time to make the accommodations.
If you are involved in a sport which may require you
to travel this quarter, and especially if you will miss
either of the midterms, please let the instructor know as
soon as possible so that appropriate accommodations can be
made. If you do not let the instructor know at least a
week in advance of a missed exam, you may be denied the
opportunity to take it at an alternate time or on the road. You are also
responsible for homework while traveling. See the homework for information
about turning in homework.
Extra credit assignments: Occasionally students ask for extra credit in
order to improve their grade. While we can recommend additional
practice problems, we cannot offer them for credit as it would be
unfair to the entire class if only a small number of students were
allowed a chance to improve their grade. If you become worried about
your understanding and grade in the course, please see your instructor
as soon as possible for advice.
Calculator policy: Calculators are not used in a systematic way in the
Math 19-20-21 sequence. Calculators are not allowed or needed on any of
the exams. Occasionally, homework problems may call for the use of a
scientific or graphing calculator, and it is fine to use them for this
- Honor code policy: 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 NP.