Math 20 is a 3-credit course in integral calculus. The class covers more applications of differentiation, antiderivatives, integrals and some applications of integration.
Math 19-20-21 is a three quarter sequence in single variable calculus. We will cover the same material as in the Math 41-42 sequence, but at a slightly slower pace.
Students need to have a strong foundation in 'precalculus', i.e. the concepts from high school algebra and trigonometry, as well as Math 20 or equivalent. This includes 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 only have time to briefly review these concepts before they are used. Students who are unsure of their background should see their instructor as early as possible.
For a detailed syllabus see the Course Schedule page.
- Rob Rhoades
Lecture 02 on T/Th 11:00am - 12:15pm at 380-380Y
- Christelle Vincent
Lecture 01 on T/Th 9:30am - 10:45am at 200-203
Lecture 03 on T/Th 2:15pm - 3:30pm at 380-380X
- Iurie Boreico
- Haizhao Yang
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.
Single variable calculus: Concepts and contexts, 4th edition, by James Stewart. Most homework exercises and reading assignments are taken from the book, so you should have a copy. This was the text for Math 19 and will be the text for Math 21. This course will cover Chapters 4, 5 and 6 of the book. Contact your instructor if you cannot find a copy of this book in the bookstore. It is not recommended that you use a copy of a different edition, since the homework problems will come from the 4th edition and the numbering may be different.
You are expected to attend every lecture; if for whatever reason you cannot attend lecture, you are responsible for asking a classmate to tell you what you have missed.
The emphasis of this class will not be on computation alone. Your thought process and ability to explain it clearly and mathematically are as important as your answer.
To do well in this class, first and foremost you should convince yourself that learning requires work, and that only you can do this work. Unfortunately, there are no shortcuts to acquiring new knowledge and skills.
Here is how we suggest you organize your time: Every Wednesday night before lecture, spend an hour or two reading the textbook and completing the pre-quiz. Write down what you understand and what you don't understand, and prepare some questions. Then you will be ready on Thursday to actually get something out of lecture.
During lecture, make connections to what you've understood from your reading and think of how what the instructor says explains what you didn't understand from your reading. Before the end of lecture, make sure to ask whatever questions you had that were not addressed during lecture. Note that the instructor will not lecture on every single topic covered by the class; it is your responsibility to make sure that you understand everything that will be covered on the exams.
Once this is done, do as much of your homework as possible over the weekend. Attend tutoring hours or office hours on Sunday and Monday to get help on whatever you couldn't do on your own. Your goal should be to come to class on Tuesday with your homework mostly completed, with only a couple of questions left to answer. Most of class time on Tuesday will be spent solving the more difficult problems from the homework. To encourage you to come to class prepared on Tuesday, there will be two bonus points if you hand in your homework and take-home quiz right after lecture (see the Take-home Quizzes section for more details).
Your grade will be based on the following components:
- Pre-quizzes: 5%
- Homework: 15%
- Take-home quizzes: 5%
- Midterm Exam 1: 20%
- Midterm Exam 2: 20%
- Final Exam: 35%
There are no predetermined numerical cutoffs for letter grades.
Throughout the quarter your grades will be posted on CourseWork. It is your responsibility to periodically check that there have been no errors entering your scores into the system.
Every Thursday before lecture you will have to complete a short online quiz about the material that will be covered in lecture that day. This pre-quiz will be available through WeBWork. To access the Pre-Quiz, go to our WeBWork server from a campus computer and click on Math20. If you are not on a campus computer, you must first connect to the Stanford Virtual Private Network to access the site. Your username is your SUNetID (without @stanford.edu), and this cannot be changed. By default your password when the quarter starts will be your Student ID number (without the zeroes at the beginning). You should change your password to something else when you first log in.
We will drop your lowest pre-quiz score from your total score at the end of quarter when computing your final grade. There will not be any any make-up pre-quizzes or an opportunity to extend a pre-quiz deadline under any circumstances; the purpose of the dropped quiz score is exactly to account for exceptional circumstances when you are unable to work the pre-quiz on time. Please note that it is impossible to submit an assignment even a minute late as the website automatically closes the assignment when it is due.
There will be weekly homework posted on the Course Schedule page. These will be graded and returned to you. We will only post solutions to selected problems from the homework; you are welcome to ask any instructor or course assistant to show you correct solutions to any problem.
Homework will be due every Wednesday at 9am, to be handed in in the labeled box outside of 380-381C. We will drop your lowest homework score from your total score at the end of quarter when computing your final grade. Late homework will be accepted only under very exceptional circumstances; the purpose of the dropped homework score is exactly to account for the less exceptional circumstances when you are unable to hand in your homework on time. There will be bonus points for homework handed in early, see the Take-home Quizzes section for more details.
Your homework must be stapled, and have your name and lecture number. Otherwise, you will receive a score of zero on this homework. This is a firm policy; no amount of complaining or arguing will give you back your points.
You will be graded on the homework in the following manner:
- 80% correct or more: 10/10
- 70%-79% correct: 9/10
- 60%-69% correct: 8/10
- 50%-59% correct: 7/10
- 40%-49% correct: 6/10
- 30%-39% correct: 5/10
- 29% correct or less: 2/10
You are encouraged to work with others on your homework, but be wary of depending too much on outside help to solve problems. You should only discuss problems you have attempted already. We recommend you spend at least half of your study hours alone. Each student must write up their own solutions. The honor code applies.
There will be weekly take-home quizzes posted on the Course Schedule page. Print the take-home quiz and very carefully write up solutions to each problem with sufficient justification. The purpose of these take-home quizzes is to allow you to practice writing math properly, and for us to communicate to you how we expect you to write solutions on exams. Accordingly, points will be taken off for incorrect 'style', even if your answer is correct. We will post solutions to these problems.
We will not solve problems from the take-home quiz in class this quarter, but you are welcome to ask for help during tutoring hours or office hours.
Take-home quizzes will be due every Wednesday at 9am, to be handed in in the labeled box outside of 380-381C. We will drop your lowest take-home quiz score from your total score at the end of quarter when computing your final grade. Late take-home quizzes will be accepted only under very exceptional circumstances; the purpose of the dropped take-home quiz score is exactly to account for the less exceptional circumstances when you are unable to hand in your take-home quiz on time.
Bonus points will be awarded for handing in the homework and take-home quizzes early in the following manner: If you hand in both the homework and take-home quiz at the end of lecture on Tuesday, you will receive two bonus points on the take-home quiz. There will not be any bonus points for handing in work at 5pm.
Your take-home quiz must have your name and lecture number, be stapled if necessary, and must be handed in separately from your homework (i.e. not stapled together). Otherwise, you will receive a score of zero on this take-home quiz. Again, this is a firm policy; no amount of complaining or arguing will give you back your points.
You are encouraged to work with others on your take-home quiz, but be wary of depending too much on outside help to solve problems. You should only discuss problems you have attempted already. We recommend you spend at least half of your study hours alone. Each student must write up their own solutions. The honor code applies.
There will be two in-class midterm exams and a university scheduled final exam. The problems on the exams will be similar to the problems in the weekly homework, and take-home quizzes. The material covered by each exam is given by the reading assignments and the pre-quizzes, homework, and take-home quizzes; the instructors will not lecture on every topic covered in the exam. All exams for Math 20 this quarter are closed-book, closed-notes, with no calculators or other electronic aids permitted. Individual exams will not be curved nor scaled.
The in-class midterm dates are given below; it is your responsibility to verify right now to you can attend class on these days. 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 University policy.
If an emergency occurs and you need to miss an exam, contact your instructor as soon as possible. In this case, your final grade will be based solely on the rest of the scores in the class.
- Midterm 1: 2/5
- Midterm 2: 2/26
- Final exam: 3/18, 7:00pm - 10:00pm, in CEMEX
- 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.
- Handing in other student's papers: Sometimes it is necessary to have a friend hand in a homework assignment for you. Please note however that if your friend forgets, hands in the paper late or in the wrong location, then the late assignment cannot be accepted.
- 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.