Math 20 is a 3 credit course in introductory
calculus, second in the Math 19-20-21 sequence. The class provides
an introduction to single variable integration, including many
integration techniques and applications to geometry. We will also
explore differential equations and parametric equations. 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. In particular, students
should be comfortable with the idea of a limit, the idea of the
derivative, and taking derivatives of a wide range of
functions. Further, students should know (and know when to apply)
the product rule and chain rule. 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
- Dr. Xuwen Zhu
- Calista Bernard
- David Benjamin Lim
Office: 4th floor common room (for office hours)
- Jesse Silliman
You are encouraged to attend the office hours
provided by any of the instructors or course assistants,
regardless of which lecture 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.
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 will be the
text for Math 21.) This course mainly focus on topics
from chapters 5, 6, 7, 8, and 11.
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.
Your grade will be based on the following components:
- Homework: 15%
- 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 January 18, 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 January 18.
Late homework will be accepted only under very exceptional
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 20 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, February 1, 8:00pm - 9:30pm
- Midterm 2: Wednesday, February 22, 8:00pm - 9:30pm
- Final exam: Monday, March 20, 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 informationa
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.