Math 21
Spring 2017

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Course Description and Prerequisites

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
    Office: 380-381C
    Email: skimport(at)stanford(dot)edu
    Lectures: MWF 9:30-10:20, 10:30-11:20 (both in 380-380Y)

  • Dr. Jorge Acosta
    Office: 380-382Q1
    Email: jorge(dot)acosta(at)stanford(dot)edu
    Lectures: MWF 11:30-12:20, 1:30-2:20 (both in 380-380Y)

Teaching Assistants

  • Jun Gao
    Office: 380-380N
    Email: jung2(at)stanford(dot)edu
    Sections: Tu 9:30-10:20, 10:30-11:20 (both in Herrin T195)

  • David Benjamin Lim
    Office: 380-380U1
    Email: benlim(at)stanford(dot)edu
    Sections: Tu 11:30-12:20, 12:30-1:30 (both in Science Teaching and Learning Center 104)

  • Alessandro Masullo
    Office: 380-384K
    Email: amasullo(at)stanford(dot)edu
    Sections: Tu 9:30-10:20, 10:30-11:20 (both in 200-202)

  • Weston Ungemach
    Office: 380-380J
    Email: westonu(at)stanford(dot)edu
    Sections: Tu 11:30-12:20, 12:30-1:20 (both in Herrin T195)

Office Hours

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 To view our drop-in schedule and to view information about tutoring for other courses, visit


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.

Attending lecture and section

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 learning.

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.

You MUST 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 circumstances.

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 your understanding 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.

All 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 accordingly.

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.

Office of Accessible Education accommodations

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 made.

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.

Student Athletes

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.

Other important policies

  • 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 purpose.
  • 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.

Spring 2017 -- Department of Mathematics, Stanford University
Problems with this page? Contact Dr. Susie Kimport so we can fix the problem.