Math 19
Winter 2024
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Page Table of Contents
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Math 19 is a 3 credit course in introductory differential
calculus. The class covers limits, derivatives and some
applications of differentiation. A more detailed
breakdown of the schedule and homework can be found at the Course Schedule page.
Students need to have a strong foundation in 'precalculus' (eg Math 18). In
particular, you need knowledge of standard mathematical
notation and vocabulary, comfort with the concept of a function, a
mastery of all things concerning lines (how to compute slopes,
several ways to write the equation of lines), and an ability to
manipulate algebraic expressions (simplify fractions, factor
polynomials). We will briefly review these
concepts as needed before they are used in Math 19. Students who want
to brush up on these skills can find more resources on this Precalculus page.
The first five lectures of the course will cover (most of) Chapter 1 from the textbook below and are meant to be a quick review of precalculus. For additional assistance, consider attending office hours, surveying the precalculus refresher course, take the in-depth precalculus practice quiz on the course canvas site, and reviewing with outside resources.
IMPORTANT NOTE: when we say "strong foundation in
precalculus," we mean that you have a comfort in working through
those problems without a calculator. We DO NOT use
calculators in Math 19. They are not allowed on exams and should be
avoided when completing your homework. If an assigned homework
problem requires a calculator, it will be clearly indicated that a
calculator is allowed (and in these cases, a graphing calculator
would NOT be necessary). You should strive to do all homework
without a calculator. Just leave it wherever it is; forget it
exists.
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- Dr. Christine Taylor
Office: 380-381J
Email: taylor13(at)stanford(dot)edu
Lectures: MWF 9:30-10:20 (420-041); 10:30-11:20 (420-041)
- Nathan Fournier
Email: nathfrn(at)stanford(dot)edu
- Pranav Sriram
Email: prsriram(at)stanford(dot)edu
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You are encouraged to attend the office hours
provided by the instructor or course assistant. 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.
Peer Tutoring:
The Stanford University Mathematics Organization (SUMO) works with the Stanford Math department to provide free drop-in tutoring services for a number of introductory math classes, including MATH 19, 20, 21. The tutors are Stanford undergraduates available to answer any questions you have about the material and homework in Math 19. Just show up and the tutors will help you out. Feel free to come and work on your homework there even if you don't have any specific questions. Many students work on their homework during tutoring, asking questions when they encounter difficulties.
Starting the second week of each quarter, tutoring for Math 19 is on Sundays 4-8PM in Room 380-381T; on Tuesdays 6-10PM in Room 380-381T; and on Tuesdays 10PM-Midnight on Zoom. You will need to first self-enroll in the SUMO Tutoring Canvas Course in order access the Zoom meetings for SUMO tutoring sessions. Tutoring continues through Week 10 but excludes university holidays.
The Center for Teaching and Learning (CTL) offers free drop-in and appointment tutoring for Math 19, in addition to tutoring for a number of other courses. For more information and to schedule an appointment, visit tutoring appointments and drop-in schedule page.
ACE: The School of Engineering offers a 1-unit S/NC add-on course Math 19ACE, also known as the "ACE session". ACE is designed to provide supplementary support to students who would benefit from strengthening their foundations and getting ahead. Overall, the supplementary session offers:
- additional problem practice for homework and exams
- extra exam review sessions
- time with peers to work on problem sets
Attendance is required to receive credit -- i.e., an "S" in Math 19ACE -- you must also complete Math 19 and receive a grade equivalent to C- or higher. If you withdraw from Math 19, you must also withdraw from Math 19ACE. These are requirements for all university ACE courses.)
If you're interested, read more here and then please fill out an application as soon as possible (located at the link provided on that page), as spots are limited.
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The free online textbook for this course, Calculus, Volume 1, OpenStax is available here.
The textbook mainly serves as a source of problems to practice with. While my lectures (mostly) follow the order of the textbook, for all results/formulas, I believe my lecture notes should more than suffice. The book also supplies some "proofs" of the material if you are interested.
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Attendance is not required, yet
regular attendance is important to your success in
this class. A student who misses class is responsible for
finding what was discussed and learning the material that
was covered on that day. The teaching team is not responsible for
re-teaching material missed by a student who did not
attend class regardless of the reason for the absence,
though we are willing to address any points of confusion in
office hours (whether you were in class or not).
Lecture outlines will be posted by 5pm the day before each lecture on Canvas. You can load them onto a tablet and follow along during lecture, print them out and write on them, or write using your own blank paper. The intention is that you do not have to write as much (there will still be some writing though) and instead focus on listening and absorbing. Fully annotated lecture notes will not be posted. If you need to miss a lecture, please ask someone in the class for their notes.
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Your grade will be based on the following components:
- Post-Lecture Canvas Quizzes: 10% (total points earned divided by 80% of total possible points, not to exceed 100%)
- Homework: 20% (total points earned divided by 80% of total possible points, not to exceed 100%)
- Midterm Exam 1: 20%
- Midterm Exam 2: 20%
- Final Exam: 30%
No individual exam or assignment will be curved, but there may be a curve at the end of the course for final grade cutoffs. There is no predetermined curve beforehand, and we will not know if there will even be one until all the grades are in the system. We do not curve downward, i.e. 70% guarantees a C-, 80% guarantees a B-, and 90% guarantees an A-.
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There will be weekly homework posted on the homework page.
Homework will be assigned weekly and posted at the start of the week on the homework page and on Canvas. Homework must be uploaded to Gradescope by 9am Stanford local time on Wednesday. Homework solutions will be posted shortly after the due date on Canvas. Late homework will not be accepted.
If you feel like you cannot complete an assignment for any reason, please submit what you have for partial credit before the deadline. If there are technical difficulties uploading the assignment, you must contact us before the deadline with your assignment.
We hhighly encourage you to collaborate on your assignments. However, you must submit the assignments in your own words/handwriting. Write your name somewhere on the first page of your assignment.
Your homework grade will be computed out of 80% of the total points (i.e. you only need to average 80% across all assignments to receive full credit for the homework category). However, the homework score will not exceed 100% (i.e. even if you average higher than 80% on each assignment, you will still only receive 30% towards your final grade).
Homework must be submitted as a PDF. You may either write it on a tablet and export that or handwrite it on paper and scan it. There are many free applications on iOS and Android that allow you to do this. Here are some examples: DropBox, Genius Scan, Cam Scanner, Scanner Pro, TurboScan
Please see instructions on this page for a guide on how to upload to Gradescope. When uploading to Gradescope you must tag your problems appropriately as this makes the assignment much easier to grade and look back on once graded.
Readability policy (untagged problems, oversize PDFs): Out of respect for the graders' limited time to examine your submissions, untagged homework problems on Gradescope will not be graded by the graders; nor will problems on submissions consisting of an oversized single-page PDF. Once you submit a regrade request due to a problem tagged incorrectly or not found on a single-page submission, there will be a 50% penalty for that problem. This policy is in effect starting with Homework #2.
If you do not want to submit a specific homework problem, then please include “Problem skipped” in your scanned document so that you can still tag something for it.
It is possible that due to a shortage of graders, only a subset of all the problems assigned each week will be graded for credit.
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You are bound by the Stanford Honor Code for all
work submitted for Math 19, including the Canvas quizzes and homework
assignments. For the Canvas quizzes, you can use the online textbook and your notes. However, you must work independently on quizzes. You cannot share or discuss any portion of the quiz with anyone other than the course staff during your scheduled quiz period, electronically or otherwise. For homework, we encourage you to use the online textbook 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.
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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. The material covered by each exam is given by the
suggested reading and homework.
All
exams for Math 19 this quarter are closed-book, closed-notes with the exception of the Exam Reference Sheet, with no
calculators or other electronic aids permitted. You are allowed to bring one handwritten 8.5x11-inch sheet of paper (regular printer paper) to each exam on which you can put on both sides whatever material you wish from the course coverage (definitions, formulas, theorems, results, etc.) as an Exam Reference Sheet to be used during the exam. If you wish, you may write on a tablet and print it out, but it must be handwritten and adhere to the dimensions previously stated. We keep the numbers reasonably simple on exams, so there is no need for a calculator. Individual exams will
be neither curved nor scaled.
The evening midterm dates are given below. Check for exam conflicts right away and contact us: Except in case of emergency, you must inform us of exam conflicts at least two weeks prior to the exam, together with a valid reason for the conflict. The allowable reasons are course-related or competition-related schedule.
If you must miss an exam due to illness, please contact the instructor for more information.
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: Thursday, February 1, 6pm - 7:30pm
- Midterm 2: Thursday, February 22, 6pm - 7:30pm
- Final exam: Tuesday, March 19, 12:15pm - 3:15pm
For more information, see the Exams page.
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Stanford is committed to providing equal educational opportunities for disabled students. Disabled students are a valued and essential part of the Stanford community. We welcome you to our class.
If you experience disability, please register with the Office of Accessible Education (OAE). Professional staff will evaluate your needs, support appropriate and reasonable accommodations, and prepare an Academic Accommodation Letter for faculty. To get started, or to re-initiate services, please visit oae.stanford.edu.
If you already have an Academic Accommodation Letter, please use this ACCOMMODATIONS & FLEXIBILITY FORM to upload it and detail the specific accommodations you will need in this course. Letters are preferred by the end of week 2, and at least two weeks in advance of any exam, so we may partner with you and OAE to identify any barriers to access and inclusion that might be encountered in your experience of this course. New accommodation letters, or revised letters, are welcome throughout the quarter; please note that there may be constraints in fulfilling last-minute requests.
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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 fill out the exam conflict form as
soon as possible so that appropriate accommodations can be
made. If you do not let the instructor know at least two
weeks 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.
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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.
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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/NC.
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