Math 20
Winter 2012
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Contents
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Math 20 is a 3-credit course in integral calculus. The class covers 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 19 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 me as early as possible.
For a detailed syllabus see the Syllabus page.
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- Eric Bahuaud
- Lectures: 01 (T/Th 9:30-10:45 in Hewlett 102) and 02 (T/Th 11:00-12:15 in ECON140)
- Instructor
- Office: 380-381C
- Email: bahuaud(at)math(dot)stanford(dot)edu
- Jeremy Van Horn-Morris
- Lectures: 03 (T/Th 2:15-3:30 in 380-380X)
- Instructor
- Office: 380-382Q1
- Email: jvanhorn(at)math(dot)stanford(dot)edu
- Xiaodong Li
- Course assistant
- Office: 380-380T
- Email: xiaodong(at)math(dot)stanford(dot)edu
- Yuncheng Lin
- Course assistant
- Office: 380-380R
- Email: ylin2(at)math(dot)stanford(dot)edu
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- 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 will also be the text for Math 20 and 21. This course will
cover the first four chapters of the book. Contact your instructor if you can not find a copy of this book in the bookstore. It is not recommended that you
use a copy of a different edition, since some of the homework
problems come from the 4th edition and the numbering may be
different.
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You are expected to attend every lecture. As we plan to lecture on the same topic in all three lecture sections, you may attend whichever lecture section is most convenient for you.
Unlike high school math classes, the emphasis of this class will not be on computation alone. A large part of the lecture will be devoted to discussing the concepts which drive calculus. You are welcome and encouraged to ask questions during lecture. Since Math 20 does not have an accompanying lab section, we will also devote time each week to solving problems.
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There will be two midterm exams and a university scheduled final exam. The
problems on the exams will have a similar level to the problems in the weekly homework.
Any makeup exams will take place before the scheduled exams, and must be arranged at least one week before the exam. Only reasonable situations
call for a makeup exam, such as conflicting class or exam or unavoidable trip (not
vacation). If an emergency occurs and you need to miss an exam, your final grade will be
based solely on the rest of the scores in the class. If you need to request an early exam, you
must tell me no later than one week before the exam.
- Midterm 1: Monday, January 30, 7-9pm, Room TBA.
- Midterm 2: Thursday, February 23, 7-9pm, Room TBA.
- Final exam: Monday, March 19, 7-10pm, Room TBA.
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There will be two kinds of homework, both posted on the Homework page,
daily exercises and weekly homework:
- Daily exercises. A short online homework assignment corresponding to each lecture. This should be done after reading the textbook section covered in class that day.
You are encouraged to work on the assignments as soon after lecture as possible. The online homework corresponding to Tuesday lectures will be due at 8 am the following Friday morning. The online homework corresponding to Thursday lectures will be due at 8 am the following Monday morning.
Every student will be given a WeBWorK account during the first week of class. It is impossible to submit an assignment even a minute late as website automatically closes the assignment to viewing. At the moment we expect to have about 16 online assignments. We will drop a certain number of points (at least 5) from the total score at the end of quarter when computing the final grade. We will also allow you to reschedule one online homework assignment during the quarter: please email your instructor in advance of the deadline to set this up.
- Weekly homework. A longer homework assignment that should be carefully written
up and handed in, with sufficient justification shown for each problem. These will
be graded and returned to you. Solutions will be posted on the Homework page. The
lowest homework score will be dropped when computing the final grade. In fairness to the entire class, no
late homework will be accepted. Homework should be handed in on the due date by
4 pm.
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 honour code applies. For more information
and policies, see the Homework page.
Important note: This is the first quarter we are running a WeBWorK server here at Stanford. Because of this there may be technical issues that arise during the quarter. If you run into technical problems, please email Eric Bahuaud right away. In the event that we have technical problems that we are unable to fix in a timely fashion we may cancel the online homework. If this happens we will reweight the written homework appropriately.
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Your grade will be based on the following components:
- Online Homework: 10%
- Weekly Homework: 10%
- Midterm Exam 1: 20%
- Midterm Exam 2: 20%
- Final Exam: 40%
There are no predetermined numerical cutoffs for letter grades, and the
cutoffs may turn out to be rather different from what you are accustomed
to from high school.
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You are encouraged to attend the office
hours provided by any of the instructors and assistants. It
does not matter if they are your instructor. Feel free to drop in at the scheduled office hours.
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- Extra credit assignments: Occasionally students ask for extra credit in order to improve their grade. While we can recommend additional practise 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 the 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 papers late or in the wrong location that 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.
- Honour 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.
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- Your first resource for help in the class should be your instructors and the course
assistants. You are welcome to office hours for any kind of question, we are here to help
you and ready to explain the same thing as many times as necessary. You can also email
us or ask questions in the CourseWork forum.
- You may seek free tutoring from the Center for Teaching and Learning. Visit
this webpage for information. Here is a list of the tutors for Math 20: Eddy Albarran, Fatema AlGharbi, Johan Bonilla, Margaret Chapman, Pu Char, Amanda Howard, Wich Huen, Sean Park, Gregory Peairs, Kris Sankaran, Noah Sennett, Karen Shen, Joseph Victor, Daniel Vinh, Eric Welder.
- You may also hire private tutors from the mathematics graduate students. Visit
this other website for more information. Private tutors tend to be
expensive :(
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