Course description - Department of Mathematics - Stanford University

Math 20 Instructor: Office: email: Webpage: Office hours: Course Assistants: Office: Office hours:

Course Information

Winter 2011

Eric Bahuaud Sloan Hall 381-C bahuaud AT math DOT stanford DOT edu http://math.stanford.edu/∼bahuaud/math20 Will be posted on course website, also by appointment. Brian Krummel and Jonathan Lee 380-S (Brian), 380-T (Jonathan) See course website.

Course description 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. Math 20 centers around the development of integral calculus. To motivate what the course is all about, recall the area of a circle of radius r is πr2 . Have you ever wondered how you could prove this fact? Integral calculus has origins in this ‘area problem’ where we find the area of a region enclosed by a sufficiently simple curve. In particular we’ll study how to find the area under the graph of a function y = f (x) sketched in the plane. We will see that the familiar concepts of limits and derivatives from Math 19 play a role in this theory. We will also consider several applications of these ideas. Prerequisites Math 19 or equivalent background in differential calculus. Note that due to the scheduling of the fall quarter, we will start with topics that are sometimes seen at the very end of Math 19. Students who are unsure of their background should see me as early as possible. Online forum For the first month of class I will be experimenting with an online forum called “Piazzza” developed by Stanford students with the hope that it can offer additional help in the class. Please visit the website http://www.piazzza.com/stanford/ to create an account. On the forum you may post questions about the course and reply to other student’s queries. I will visit the website once a day to give feedback. At the end of January we will have a class vote to determine if the website is of use. Text The course textbook is Single Variable Calculus: Concepts and Contexts, 4th edition, 2010, by James Stewart. Homework assignments are taken from the book, so every student should have a copy. This will also be the text for Math 21. We will cover the parts of Chapter 4 not covered in Math 19 and Chapters 5-6. Accessibility Stanford University is committed to providing accessible education. Students with disabilities are encouraged to contact the Office of Accessible Education as soon as possible so that appropriate accommodations are made in this course.

Math 20

Course Information

Winter 2011

Lectures There are two lecture sections for this course: Tuesday/Thursday

9:30-10:45 Room 300-300 Tuesday/Thursday 11:00-12:15 Room 300-300 You are expected to attend every lecture. As I plan to lecture on the same topic in both of the 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.

Grading A rule of thumb, long espoused by college teachers is that on average students need to spend at least two hours working on a course for every hour they spend in class. As Math 20 has three hours of lecture per week, you should expect to spend at least six hours studying calculus per week.

Homework Homework will be assigned weekly and due in my mailbox on the first floor of the math building by the following Wednesday at 4pm. Please PRINT your full name and class time on the upper right hand corner of your homework! Late homework will not accepted for grading. My mailbox is located on the first floor of the math building, Sloan Hall, Building 380. When the computing the final homework contribution towards your grade, the lowest two homework scores will be dropped. You are encouraged to save these homework “drops” for weeks when you might be ill or too busy to finish the entire assignment. You should speak to me early in the course if you are falling behind or unable to complete the homework assignments. Homework will consist of problems taken from the textbook. Only a small number of the problems will be graded in detail. One final note about homework. You are encouraged to work with others on your homework, but you should be wary of depending too much on outside help to solve problems. You should only discuss problems you have attempted yourself and at least half of your study hours should be done alone. Each student must write up their own solutions. You are encouraged to mention the names of any students that you worked with on a particular problem. Exams There will be two midterm exams and a university scheduled final exam. Many of the problems on the exams will be similar to the problems in the homework. Any makeup exams will take place before the scheduled exams. There are very few situations in which a makeup exam will be given. Examples include having a conflicting class or exam or having an unavoidable trip (e.g. a job interview). You may not makeup an exam in order to go on vacation, leave for break early or because you have a busy week. If a sudden emergency occurs and you need to miss an exam (e.g., a severe family emergency or your are hospitalized), your final grade will be based solely on your other scores in the class. Midterm 1 Midterm 2 Final

Tuesday, February 1, 2011, 7-9 pm Room TBA Monday, February 21, 2011, 7-9 pm Room TBA Monday, March 14, 2009, 7-10 pm Room TBA

Math 20

Course Information

Winter 2011

Computing your grade Grades for this course are computed according to the following chart. Homework Midterm 1 Midterm 2 Final

20% 20% 20% 40%

Resources Your first resource for help in the class should be the instructor and the course assistants. Between the three of us we have office hours every week day (see the top of this information sheet for the times). We are also willing to answer questions by email. If you find that office hours are not enough help, you may wish to seek free tutoring from the Center for Teaching and Learning. Visit http://ctl.stanford.edu/learning/tutoring-and-academic-support.html for information. You may also hire private tutors from the mathematics graduate students. Visit http://math.stanford.edu/info/tutors.html for more information. You should be warned that private tutors tend to be expensive.

Other information • 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 students papers. Sometimes it is necessary to have a friend hand in a homework assignment for you. Please note however if your friend forgets, hands in the papers late or in the wrong location that the late assignment cannot be accepted. • Calculator policy. Calculators will not be used in a systematic way in the Math 19-20-21 sequence. Calculators are not allowed on any of the exams. Occasionally, homework problems may call for the use of a scientific or graphing calculator. • Honor code. Please see the websites http://honorcode.stanford.edu/ and http://fundamentalstandard.stanford.edu/ for information on the Stanford Honor code. 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.