Math 242-11,12 Calculus II

Instructor -- Pavel Guerzhoy

The class meets Tuesdays and Thursdays 12 - 1:15pm at 303, Keller Hall.

Friday recitations meet as scheduled in 401, Keller Hall starting Friday, February 4. .

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

Office hours: TuTr 2-3pm

e-mail: pavel(at)math(dot)hawaii(dot)edu (usually, I respond to e-mail messages within a day)

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.
    A grade of C or higher in Math 241 or 251A or a grade of B or higher in Math 215
    run by Irvin Chang, who is available via changi9(at)hawaii(dot)edu, meet at 401 Keller Hall on Fridays at
    Irvin Chang can be found in his office PSB 308a.
    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 11, from 12:00 noon to 2:00pm
    and will count for 30% 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 final exam for all sections of MATH242. The final exam cannot be taken before the scheduled time for any reason.

    A formula sheet similar to that may be be provided.

    Here are links to exams from previous years to study:

  • Two mid-term tests count for 15% of the final grade each one (that is 30% together). The midterms are not cumulative. The dates of the midterms will be announced in class in advance.
    Practice problems for the first midterm test

    Practice problems for the second midterm test (to take place in class on Thursday 4/14)

    Taking the exams, both the final and the two midterms, on their dates is compulsory; otherwise, a grade of zero will be recorded. Conflicts arising from work or social obligations, or from personal travel plans do not qualify as excused absences. By registering for this course, a student agrees to take all exams at the scheduled times.

    For those students who are unable to take a midterm for a valid reason, the score earned on the final exam will count towards the missed midterm.

  • Quizzes will be given approximately bi-weekly, in recitation section. The average grade for the quizzes counts for 40% 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. As this is a 4-credit-hour course, the students are expected to spend at least 8 hours each week outside of class and recitations on work related to this course.
    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.


    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