Math 20: Calculus

Winter 2001-2002

Professor: Helen Moore
Office: Room 381K, Building 380
Telephone: 650-724-6597
Home Page:
Class Meetings (2 sections):
      9:30-10:45 am TuTh in Room 380-Y, in the basement of Building 380
      11:00 am-12:15 pm TuTh, Room 380-Y, in the basement of Building 380
Text: Calculus: Concepts and Contexts (Single Variable) (1998), by James Stewart.
Teaching Assistant (TA):
     Antonio Ramirez (, Office: 380N, in Building 380
Course Assistant (CA):
     Rodrigo Cruz (, Office: 381M, in Building 380


  • Final Exam Grades: The grades for the final exam have been posted at Izio. Here is the rough scale for the grades on the final.
        A     73-100
        B     53-72
        C     34-52
        D     18-33
  • Final Exam Solutions: The solutions to the final exam are now posted (near the bottom of this page). I've enjoyed being your professor very much! Although my new job will be fantastic, I'm going to miss teaching you all. *Thank you* for making my time at Stanford so wonderful. I hope to visit Math 21 at some point next quarter, just to say hello and see how you're all doing. Until then, warmest wishes! -Prof. Moore
    PS Take Math 51 next fall!!! It'll be fun, I promise!

  • Did you lose a calculator?: Someone left a calculator in Rodrigo's office during office hours Friday morning (March 8). Was it you? Please email Prof. Moore if it's yours or you know who it might belong to.

  • Midterm 2 Grades: The grades for the second midterm have been posted at Izio. Here is the rough scale for the grades on Midterm 2.
        A     85-100
        B     70-84
        C     55-69
        D     37-54
  • Midterm 1 Grades: If you signed up correctly on Izio (see directions for Izio below), then you can access your grade. Here is the rough scale for the grades on Midterm 1.
        A     72-100
        B     52-71
        C     32-51
        D     18-31
  • Izio: You are required to sign up on the Izio web pages in order to take this class! Even if you were signed up last quarter, you must re-sign up (by clicking on "Change Quarter"). Please use lower case letters except for the first letters of your first and last name. (Izio has not fixed the alphabetizing bug in their software, and this leads to errors in the recording of grades.) Please register on Izio before the first midterm, so that you will be able to find out your score at that time. Your midterm will not be returned to you until you successfully sign up. In order to sign up on Izio, click here and follow the directions contained on those pages.

  • Math Minor: It is now very easy to minor in mathematics. Under the newly revised requirements, it is enough to take the 50 series plus three higher level courses. (The 50 series classes can count simultaneously for a minor in math and for a major in another subject that requires them.) Click here to find more information about majoring or minoring in mathematics.

    General Course Information

    Discussion sections: There are 4 discussion sections for Math 20, and they all meet on Wednesdays, in Room 420-050, and are led by our TA, Antonio Ramirez. You may choose your favorite section. The section numbers and times are as follows:

    Section number / meeting time

    2 / 9:00-9:50 am
    3 / 10:00-10:50 am
    5 / 2:15-3:05 pm
    6 / 3:15-4:05 pm

    Groups: Click HERE to see a list of the groups.

    Group reports: You should turn in one report per group. The report is turned in separately from the homework, but at the same time. There will be a folder beside the homework folder in which you place the group report. It should include 1) the first and last names of the people who met, 2) how long you met, and 3) a sentence or more about how it went. For example, you could say "This homework was a piece of cake! Everybody in our group had the same answers." Or "Except for some minor careless errors, we all had the same answers." Or "Nobody had been able to solve problem 29 in section 4.2, but we worked on it together for an hour and we got it!"

    Old exams and solutions: Click on this link for Math 20 exams from Winter 2000. Click on this link for Math 20 exams from Winter 2001. Click on this link for Math 19 exams from last quarter, Fall 2001.

    Course calendar: Click here to see the Math 20 schedule for this quarter.

    Office hours: If there is a homework problem which you are unable to solve even after thinking about it hard (and after reading the section in the textbook), then you should ask a classmate for a hint. If your classmate is also unable to solve the problem, then you should ask for a hint on the problem during office hours. The list below gives all of the office hours which are devoted to Math 20. You may avail yourself of any and all of these. There is also free tutoring offered by the UAC elsewhere on campus. See the announcements section below for more information on this.

    Monday 1:10-3:10 pm, Rodrigo Cruz, Room 380-381M
    Tuesday 5:00-6:30 pm, Antonio Ramirez, Room 380-380N
    Wednesday 1:15-2:45 pm, Prof. Moore, Room 380-381K
    Wednesday 6:00-7:00 pm, Rodrigo Cruz, Room 380-381M
    Thursday 1:15-2:45 pm, Prof. Moore, Room 380-381K
    Thursday 4:00-5:30 pm, Antonio Ramirez, Room 380-380N
    Friday 8:00-11:00 am, Rodrigo Cruz, Room 380-381M

    Grades and Exams: Your grade in the course is determined by your performance on the homework, the two midterms, and the final exam. There are no make-up exams for the final exam. If you cannot take the final exam as scheduled, you will have to take the final exam for Math 20 in the spring quarter of 2002.

    Each homework set is weighted equally, but your lowest homework grade will be dropped when we compute your homework average. It is strongly suggested that you plan to turn in all of the homework sets. This policy is only to assist those students who miss a homework set due to illness or other unforeseen circumstances.
    The percentages that make up your course grade are roughly the following:

    Homework: 10%
    Midterm 1: 25%
    Midterm 2: 30%
    Final Exam: 35%

    Midterm 1: Tuesday, February 5, 7:00 - 9:00 pm, Room 420-040
    Midterm 2: Wednesday, February 27, 7:00 - 9:00 pm, Room 380-380C and 380-380X
    Final Exam: Monday, March 18, 7:00 - 10:00 pm, Room 420-040

    Recording of Grades: Midterm and final exam grades will all be recorded on a special web page, run by Izio. You will need to register for Math 20 on the Izio web page. Please sign up using a capital letter for the first letter of your first and last names, and lower case letters for the rest of the letters in your name. This will prevent the alphabetizing problems that Izio sometimes has. Once you have registered (which involves choosing a password), you will be able to access any of your grades which have been recorded. No other student will be able to access your grades without your password. You need to register before the first midterm. To register, click here. Follow the directions for "New User Registration" if you've never registered for a class on Izio before. Send an email to Prof. Moore ( or call her (office telephone: 650-724-6597) if you need any assistance registering with Izio. Students who have not registered with Izio will not have their midterms returned to them until they do so.

    American Disabilities Act: Please inform me if you need any accomodations for this class, as specified by the Disabilities Resource Center (DRC) here at Stanford.

    Homework Policy: Each student is required to do all of the assigned homework problems. Each student will also be assigned a homework group. The homework group should arrange to meet at a mutually convenient time and place before the homework is due. Members of the group should compare homework solutions, and should discuss conflicting answers until the group comes to a consensus. If you need to change your answer to a homework problem, you should do so (individually) before you turn in your homework to be graded.

    Some of the advantages of having these group meetings include: checking your homework answers and getting more of the homework problems completed correctly before you turn it in (resulting in a higher homework grade); finding out the answers to problems while they're still fresh in your mind; getting the chance to explain your solutions to problems your group members didn't understand (resulting in a better understanding of the problem for you yourself); getting to know people in the class who you can study with and get notes from if you ever have to miss a class; having fun while learning some math. To ensure that you receive the full benefits of these group meetings (including the respect of your group members) it is absolutely vital that you work very hard on the homework problems on your own. It does not benefit you (on exams and in the real world when you need to use math) to simply get solutions from someone who has already taken the class. Stanford's honor code applies to this situation.

    Graphing calculators are required for this course. You do not have to necessarily own one, but you do need to be able to use one for the homework and the exams. If you already have a graphing calculator that you know how to use, you should use that for this course. If you do not already have a calculator and wish to purchase one, I recommend the TI 82, 83, or 85, since TI-82 calculators are used by the Stanford Math Department.

    Free tutoring: There is free tutoring available for Stanford students enrolled in introductory math courses (such as Math 20!). It is run through the Undergraduate Advising Center. Click here to get to their home page, then click on "Tutoring" near the top of the page. Tutoring began Monday, January 21, and the Winter 2002 schedule has been posted. The tutors are available Sunday through Thursday, usually 7:00 pm until 10:00 pm. See the schedule for locations, times, and biographies of the tutors.

    Private tutoring: If you really feel you must have one-on-one tutoring, this is available (for approximately $40/hour). Here is a list of graduate students in the Stanford Math Department who are willing to tutor students. Please note that due to ethical restrictions (and departmental regulations!) the Math 20 TA's and I are not allowed to provide private tutoring for Math 20 students. List of Private Tutors

    Where can I find the Math Fun Facts web page?

    It's just a click away! Math Fun Facts

    Homework and Exams

    All homework is due no later than noon outside your TA's office on the Fridays listed below.

    Problem Set Due Date Assignment Solutions
    Friday, January 18
    4.1 3, 7, 8, 10, 12, 15, 17, 21, 23
    4.2 11, 14, 24, 28, 30, 36, 42, 44, 46, 48, 53, 55
    page 1, page 2, page 3, page 4
    Friday, January 25
    4.3 1, 2, 6, 8, 12, 14, 31, 32, 36, 39, 46, 48
    4.4 2, 12, 16, 20
    page 1, page 2, page 3, page 4, page 5
    Friday, February 1
    4.5 2, 4, 6, 8, 10, 24, 26, 30, 38, 47, 48
    4.6 2, 12, 28, 32, 34
    page 1, page 2, page 3, page 4
    Tuesday, February 5
    Midterm 1: 7:00 - 9:00 pm
    Sections covered: 4.1-4.6
    page 1, page 2, page 3, page 4,
    Friday, February 15
    4.9 2, 4, 14, 20, 22, 23, 26, 32, 36, 38, 44
    5.1 2, 10, 11
    5.2 12, 16, 22, 26, 30, 32
    page 1, page 2, page 3, page 4
    Friday, February 22
    5.3 6, 8, 12, 16, 18, 22, 24, 26, 30, 38, 40, 44, 47, 50, 59, 62
    5.4 8, 10, 12, 14, 16, 22, 24, 31
    page 1, page 2, page 3
    Wednesday, February 27
    Midterm 2: 7:00 - 9:00 pm
    Sections covered: 4.9, 5.1 - 5.4
    page 1, page 2, page 3
    Friday, March 8
    5.5 2, 6, 8, 9, 10, 14, 16, 20, 22, 25, 28, 32, 50, 56, 62, 64, 66, 68
    5.6 4, 6, 18, 22, 28, 33, 41, 42
    5.7 4, 6, 8, 21
    page 1, page 2, page 3
    Friday, March 15
    5.8 1, 2, 14, 16, 24, 26
    5.9 2, 4, 6, 14, 18, 22, 47, 53, 54, 55
    page 1, page 2, page 3
    Monday, March 18
    Final Exam: 7:00 - 10:00 pm
    Cumulative, with slight emphasis on last few sections (5.5-5.9)
    page 1, page 2, page 3, page 4

    Math 20 Course Calendar
    Professor Moore's Home Page
    Stanford Undergraduate Mathematics Courses and Information
    Stanford University Mathematics Organization
    Stanford University Mathematics Department
    Stanford University
    The American Mathematical Society
    The Association for Women in Mathematics

    Last modified: Mon Mar 25 18:10:41 PST 2002