Math 242-7,8 Calculus II

Instructor -- Pavel Guerzhoy

The class meets Tuesdays and Thursdays 12 - 1:15pm at 302, Keller Hall.


Office: 501, Keller Hall (5-th floor)

e-mail: pavel(at)math(dot)hawaii(dot)edu (usually, I respond to e-mail messages within a day)
Office hours: Tuesdays and Thursdays 3:30-4:30pm

Reading
In this class we use the book
  • CALCULUS, by James Stewart, Eighth Edition.
    We cover the material from Chapters 6,7,11, and 9 from the book.
    The book is really unavoidable, and cannot be replaced with another calculus textbook, or another edition of the same book!
    Course Objective
    To learn basic concepts, techniques and applications of integration, series, and differential equations.
    Prerequisites
    A grade of C or higher in Math 241 or 251A or a grade of B or higher in Math 215
    Recitations
    run by Samantha Pilgrim meet at 401 Keller Hall on Fridays at
    Early Action Program:
    Following the first midterm, students identified as being in danger of falling behind will be given the opportunity to participate in a two-week session of additional recitations. These recitations will meet three times a week, later in the afternoon/evening. The purpose of this intensive recitation is to allow students to bring themselves back up to where they need to be. To that effect, students who complete this additional recitation section will be allowed a retake of the midterm, replacing their score, up to a certain maximum. (This maximum will be determined so that no student who qualifies for this early action program can eventually score better on the midterm than a student who did not qualify for a retake.) Any student may join the optional recitations but exam scores will not be increased above the specified threshold.
    Grading Policy
    The course contains a combination of concepts, ideas and techniques. To understand the material means to be able to apply it in solving problems. At the end of the day, your grade will reflect your ability to solve specific calculus problems. More specifically, the following rules are to be taken.



  • Final exam will take place on
    Wednesday, May 8, from 12:00 noon to 2:00pm at Watanabe Hall, 112
    and will count for 25% of the final grade. The exam is cumulative (it covers all the material). There will be no make-ups for the final. That is a common exam for all sections of MATH242.

    In preparation for the final exam

    Here is the formula sheet which is going to be provided.

    Here are links to exams from previous years to study:
    Here is a list of review sessions organized by the Math Department.
    You may attend any sessions, whichever you prefer.
    The sessions are run by those who did recitations for various sections of the class.
    In particular, the session on Monday, May 6, from 1pm - 2pm is run by Samantha Pilgrim who did recitations for these sections.





  • Two mid-term tests count for 20% of the final grade each one (that is 40% together).
  • Quizzes will be given approximately bi-weekly, in recitation section. The average grade for the quizzes counts for 35% of the final grade. A quiz typically consists of four problems taken from the homework.

    The following are not part of the grading scheme:
    The list below indicates problems assigned for Homework. Typically, these are many odd-numbered exercises for the chapters covered in class.
    These exercises have their answers in Appendix H (pp A57 -- A130) of the book.
    To solve a problem means to produce (not to "guess", though) a correct answer; no more, no less.
    This homework is big, never collected, and never graded. However, all quiz problems are taken just from the homework, and the quizzes contribute to the final grade substantially.
    It may be helpful to use custom Homework Hints if one is in trouble with a specific problem. That, however, works only with exercises numbered in red .
    I am aware of the way to find answers to all questions on the web. In principle, instead of doing exercises, one can read and memorize all solutions. That is a non-efficient way to learn math, and I do not recommend it. The textbook is designed such that a student never needs to look up these solutions. It is much more efficient to search for similar questions as examples worked out in detail in the text.



    Contents


    and Homework assignments


     
    

    CHAPTER 6 Inverse functions

    6.1: 1-27 odd, 31,33,35-45 odd, 6.2*: 1-43 odd, 47-51 odd, 55-57 odd, 61-75 odd, 77,81 6.3*: 1-61 odd,67,69,71,83-93 odd, 6.4*: 1-10 odd,13,17,21-43 odd, 45-51 odd 6.5: 1-17 odd 6.6: 1-13 odd,23-39 odd,43-49 odd,51,53,57-69 odd 6.8: 1-67 odd,97,99,101

    CHAPTER 7 Techniques of integration

    7.1: 1-41 odd, 57,61,63,65 7.2: 1-49 odd, 55,57,61,63 7.3: 1-29 odd, 33,37,41 7.4: 1-53 odd, 61,63,65 7.5: 1-81 odd 7.7: 1,5-21 odd, 27,31,33,35,37,39,41 7.8: 1,3,5-41 odd, 49-59 odd, 61,71,77,79

    CHAPTER 11 Infinite sequences and series

    11.1: 1-55 odd, 69 11.2: 1-7 odd, 15-47 odd, 51-63 odd 11.3: 1-31 odd 11.4: 1-39 odd 11.5: 1-33 odd 11.6: 1-43 odd 11.7: 1-37 odd 11.8: 1-33 odd 11.9: 1-19 odd, 25,27,29,31 11.10: 1-43 odd, 55-65 odd 11.11: 13-21(a,b) odd, 23,25

    CHAPTER 9 First order differential equations

    9.1: 1-17 odd 9.2: 1-13 odd, 19-23 odd 9.3: 1-21 odd, 33-51 odd 9.5: 1-19 odd, 23-27 odd, 29-37 odd

    Homework, Class and Quizzes Structure