Math 252A-1 Calculus II

Instructor -- Pavel Guerzhoy

The class meets Tuesdays and Thursdays 10:30 - 11:45am at 413, 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 12:30-2pm

Reading
In this class we use the book
  • Calculus Eighth Edition by James Stewart.

    The book is really unavoidable, and cannot be replaced with another calculus textbook!
    Course Objective
    To learn basic concepts, techniques and applications of integration, series, differential equations, and get acquaintance with more general mathematical concepts such as transcendental functions and polar coordinates.
    Prerequisites
    Math 251A; AP Calculus AB score of 4 or 5 and consent; or a grade of A in Math 241 and consent.
    Recitation Section
    The Section meets at Keller 404 on Wednesdays at 9:30-10:20am.
    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 count for 40% of the final grade. The exam is cumulative (it covers all the material). There will be no make-ups for the final.

  • Mid-term test, which covers the material of Sections 6 and 7 and counts for 30% of the final grade.

  • Quizzes will be given approximately biweekly, and the average grade for the quizzes counts for 30% of the final grade.

    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 very non-efficient way to learn math, and I do not recommend it. The textbook is designed such that a student almost never needs to look up these solutions. (Rare exceptions are very few problems from Chapter 7 which may be looked up using some software tools.) 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

    CHAPTER 10 polar coordinates

    10.1: 10.2: 10.3: 10.4:

    Homework, Class and Quizzes Structure