Homework for Dr.Kanovich's Math 141 (Spring'00)

Homework assignments will be given out on Thursdays and are due at noon on Fridays of the following week, in
Marcus Khuri's mailbox
in the math department office. (The math department office is on the 4th floor of DRL, at the very end of the "C" wing hallway.)
Staple the pages together.
Leave the top of the front page blank except for the following information: your course ("Math 141"), the homework number (say "Homework 12"), your name (print it).
Write neatly and organize your pages so that we can read them.
No late homework papers will be accepted. ------------------------------------------
    Since there is much material to cover in math 141 and more problems to work through than we have time to cover in lecture or recitation, we have chosen a list of core problems to help define the course. You can find these on page 10 of the Lab Manual or on the WWW at http://www.math.upenn.edu/ugrad/calc/syllabi/m141.html.
    In addition you will find problems from past final exams on page 261-272 of the Lab Manual. Together, the core problems and past finals define both the material of the course and the level of difficulty expected.
    Your objective is to understand thoroughly how to solve them and to develop some facility with the underlying mathematics.
    Core problems are odd numbered and complete solutions to all odd numbered problems are available in the Solution Manual. Mastering them is an essential first step in doing your homework. You should first attempt to do them without the Solution Manual, and then consult the Solution Manual if problems arise, or to check your answer.
Frequently Asked Questions:
Q: My question actually concerns the grading scheme for the tests themselves. What is the curve or are they graded on individual improvement???
A: Each of your tests is graded on the basis of your individual performance in the test. (The copies of your midterms are available here: Midterm-1, Midterm-2.)
   Indeed, the final total grade will be adjusted in accordance with the sign and value of the derivative of your individual improvement.
Q: I was wondering what the last section will be on the final exam. The homework goes until 12.7 but do we need to know any later sections?
   How far will the final exam include? All of chapter 12 and 13 or do we stop at 12?
A: The Practice Final Exam could give the right directions to a sort of the final exam problems.
   Indeed, take care about the local and global maxima, minima, etc, and double integrals, - the material covered in the last classes.

  • Homework 1   (assigned 1/20 - due 1/28 at noon):
    Chapter 5,  5.5 - 9, 10, 11, 12, 16, 18, 20, 22.
    Chapter 5,  5.6 - 10, 12, 14, 16, 17, 19, 21, 22, 26.
  • Homework 2   (assigned 1/27 - due 2/4 at noon):
    Chapter 9,  9.4 - 6, 16, 28, 30, 33, 34.
    Chapter 9,  9.5 - 2, 17, 18, 21, 23, 27.
    Chapter 9,  9.6 - 2, 6, 10, 32, 44, 46.
    Chapter 9,  9.9 - 22, 24, 26, 29, 30, 32.
  • Homework 3   (assigned 2/3 - due 2/11 at noon):
    Chapter 8,  8.1 - 6, 15, 16, 35, 36, 46, 51.
    Chapter 8,  8.2 - 2, 4, 5, 6, 9, 10, 12, 15, 16, 19, 20, 21, 22, 24, 27, 28, 36, 39, 40, 42, 46, 61, 62.
    Chapter 8,  8.3 - 1, 2, 3, 4, 5, 6, 7, 10, 12, 15, 16, 20, 26, 28, 48, 52.
  • Homework 4   (assigned Th 2/10 - due Fri 2/18 at noon):
    Chapter 8,  8.3 - 61, 62, 68, 71, 72, 75, 76.
    Chapter 8,  8.4 - 3, 4, 7, 9, 10, 16, 18, 28, 39ab, 40abcd, 41.
    Chapter 8,  8.5 - 2, 9, 16, 23.
    Chapter 8,  8.6 - 3, 4, 6, 13, 17, 19, 20, 27, 31, 41, 45
    Chapter 8,  8.7 - 3, 8, 13, 26, 45.
    Chapter 8,  8.8 - 1, 2, 5, 11, 12, 17, 34, 42ab.
  • Homework 5   (assigned Th 2/17 - due Fri 2/25 at noon):
    Chapter 8,  8.8 - 16, 20, 24. 32, 45ab, 47.
    Chapter 8,  8.9 - 2, 3, 7, 8, 9, 11, 12, 13, 16, 17, 18, 19, 20, 22, 23, 25, 26, 27, 34, 35.
    Chapter 8,  8.10 - 1, 2, 4, 5, 7, 11, 13, 14, 16, 17, 18. 29ab, 31, 32, 33, 34, 50, 51.
  • Homework "Midterm 1"   (assigned Th 2/25 - due Tue 2/29):
    Be ready for Midterm-1 Tuesday February 29 in class.
    NO MAKE UP EXAMS WILL BE GIVEN.
    The topics included there are:
        Chapter 5 - Applications of Integrals: 5.5, 5.6.
        Chapter 9 - Parameterized Curves: 9.4, 9.5, 9.6, 9.9.
        Chapter 8 - Infinite Series: 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10.
  • Homework 6   (assigned Th 3/2 - due Fri 3/10 at noon):
    Chapter 8,  8.10 - 19, 20, 21, 22.
    Chapter 8,  8.11 - 1, 2, 3, 11, 15, 16, 17, 18, 21, 25, 26, 41, 42, 47, 48, 55.
  • Homework 7   (assigned Th 3/23 - due Fri 3/31 at noon):
    Homework 7 consists of a Practice Exam for the second midterm. (The copies have been distributed in class Th 3/23. The copies are also available here: side 1, side 2.)
    Instructions:
        Work out all the problems on this practice exam.
        Give detailed explanations, as if your solution were going to be published.
        Use a separate sheet for each of the problems.
        Leave space to include notes from our review session.
        Bring the practice exam with you to the review session.
    The review session is on Tuesday evening, March 28, beginning at 7:15 PM in DRL A-1. (Please, notice this new place A-1).
        Make a photocopy of your practice exam, with all problems corrected, and hand it in for homework on Friday March 31.
  • Homework 8   (assigned Th 3/30 - due Tue 4/4): Notice this new date.
    Chapter 8,  8.11 - 12, 22, 32, 44, 50
    Chapter 10,  10.1 - 8, 9, 18, 29, 36
    Chapter 10,  10.2 - 8, 11, 12, 18, 53, 54
    Chapter 10,  10.3 - 9, 16, 41
    Chapter 10,  10.4 - 3, 17, 40
    Chapter 10,  10.5 - 3, 6, 20, 23, 38, 44, 55, 59
  • Midterm-2    Tuesday April 4 in class
    NO MAKE UP EXAMS WILL BE GIVEN.
    The topics included there are:
        Chapter 8 - Infinite Series: 8.11
        Chapter 10 - Vectors and Analytic Geometry: 10.1, 10.2, 10.3, 10.4, 10.5
  • Homework 9   (assigned Th 4/6 - due Fri 4/14 at noon):
    Chapter 12,  12.1 - 5, 8, 13, 14, 15, 16, 17, 18, 19, 25.
    Chapter 12,  12.2 - 6, 11, 14, 17
  • Homework 10   (assigned Th 4/13 - due Fri 4/21 at noon):
    Chapter 12,  12.1 - 45.
    Chapter 12,  12.3 - 7, 10, 30, 48.
    Chapter 12,  12.4 - 1, 2, 5, 7, 9, 10, 11, 20, 21, 23, 33ab.
  • Homework 11   (assigned Th 4/20 - due Fri 4/28 at noon):
    Chapter 12,  12.5 - 3, 7, 40.
    Chapter 12,  12.7 - 3, 4, 9, 17, 18, 27, 28, 29, 39, 40, 41, 42, 49.

    FINAL EXAM
    DATE: MAY 10, 2000
    TIME: 11AM - 1PM
    PLACE: MEYH B1

    You are allowed to bring an 8 1/2 x 11 sheet of formulas to the exam.
    Practice Final Exam.
    Dr. Gluck will run a review session on May 2 from 2-6pm in room DRL-A1. I strongly recommend to attend this session.

    References

  • CALCULUS by Thomas and Finney, 9th edition
  • Solution Manual for Thomas Finney
  • MATH 140/141 MAPLE/CALCULUS LAB MANUAL
  • Hand-outs: Five Minutes of Logic

    __________________________________________________

    Max Kanovich ( maxkanov@math.upenn.edu )