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Weekly Homework Assignments

Sept 21 - 25, 1998 Sept 28 - Oct 2, 1998 Oct 5 - 9, 1998 Oct 12 - 16, 1998
Oct 19 - 23, 1998 Oct 26 - 30, 1998 Nov 2 - 6, 1998 Nov 9 - 13, 1998
Nov 16 - 20, 1998 Nov 23 - 27, 1998 Nov 30 - Dec 2, 1998  


Week of Sept 21 - 25, 1998
Assignments Made on:
Monday: No class
Wednesday: No class
Friday (due Monday): (Assignment 1)
  • Review: Chapters 1, 2, 3, 4, 5, 7(as required)
  • Study: Chapter 17, section 1

    • Do: the problems on the homework supplement.
    Can you read this version as well? homework supplement version 2
  • Finally:
    1. Use Netscape to find the Math 11 home page, and make a bookmark for future reference. Here you will find all of the general information about the course, including information about exams, tutorials, and grades.
    2. Once there, navigate to the Homework Assignments page. That's this page! Future assignments will be posted to the web site, and will not be handed out in class, so if you have problems with Netscape, let your instructor know.
    3. Navigate to the Information for using Maple page. Carefully read this page and follow the instructions for downloading a keyserved version of Maple, and obtaining a short Maple primer.


Week of Sept 28 - Oct 2, 1998
Assignments Made on:
Monday (due Wednesday): (Assignment 2)
  • Study: Chapter 17, sections 2 and 4
  • Do: p. 1231: 1 - 5
    p. 1249: 3, 10, plus the two problems below:

    1. A tank contains 1000 liters of brine with 15 kg of dissolved salt. Pure water enters the tank at a rate of 10 liters/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. How much salt is in the tank
      (a) after t minutes? (b) after 20 minutes?
    2. A tank contains 1000 liters of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 liters/min. Brine that contains 0.04 kg of salt per liter of water enters the tank at the rate of 10 liters/min. The solution is kept thoroughly mixed and drains from the tank at 15 liters/min. How much salt is left in the tank
      (a)after t minutes? (b)after 1 hour?
Wednesday (due Friday): (Assignment 3)
  • Study: Chapter 8, section 1
  • Do: pp. 583 - 584: 1, 7, 13, 20, 21, 24, 28, 51a
Friday (due Monday): (Assignment 4)
  • Study: Chapter 8, section 2
  • Do pp 591 - 592: 1, 3, 5, 9, 10, 11, 14, 17


Week of Oct 5 - Oct 9, 1998
Assignments Made on:
Monday (due Wednesday): (Assignment 5)
  • Study: Chapter 8, section 3 (don't worry about hyperbolic functions)
  • Do page 601: 1, 3, 5, 10, 13, 17, 31, 34
Wednesday (due Friday): (Assignment 6)
  • Study:
    • Chapter 17, section 3 (no exact equations)
  • Do page 1239: 7 - 12 and the problem below.
  • Into a 2000 liter container is placed 1000 liters of a brine solution containing 40 kg of salt. A brine solution containing .02 kg/l of salt flows into the container at a rate of 50 l/min. The solution is kept thoroughly mixed, and the mixture flows out at a rate of 25 l/min. How much salt is in the container at the moment it overflows?
Friday (due Monday): (Assignment 7)
  • Study: Chapter 17, section 5 and skim section 7
  • Do page 1258: 1, 3, 9, 11, 13, 17, 19


Week of Oct 12 - Oct 16, 1998
First Hour Exam Next Tuesday: Details here soon
Assignments Made on:
Monday (due Wednesday): (Assignment 8)
  • Study: Chapter 17, section 5 and class notes on complex numbers
  • Do pp 1258 - 1259: 5, 7, 15, 21, 23, plus the problems below:

    1. Write (2 + 3i) / (1 - 5i) in the form a + bi
    2. Compute the complex conjugate and modulus of 3 + 4i
    3. Write -1 + sqrt(3)*i in polar form
    4. Simplify (1 + i)20 (Use polar form)
    5. Find all solutions in the complex numbers to the equation z5 = 32
Wednesday (due Friday): (Assignment 9)
  • Study: Chapter 6, sections 1 and 4
  • Do: pp 397 - 398: 12, 13 (On 13, note the right-hand point of intersection is wrong),

    • page 584: 30,
    page 601: 29,
    Find the area bounded by the curves y = x3 - 3x and y=x.
    page 429: 1, 7, 8
Friday (due Monday): (Assignment 10)
  • Study: Chapter 6, section 2
  • Do pp 409 - 410: 8, 9, 11, 15, 33


Week of Oct 19 - Oct 23, 1998
First Hour Exam Tuesday: Details below.
Assignments Made on:
Monday (due Wednesday): (Assignment 11)
  • Study: Chapter 6, section 3 and the beginning of Chapter 8, section 6
    (Of course also study for the exam)
  • Do: page 419: 17, 19, 21
    page 584: 32

  • Optional Question and Answer session, 7 - 9 pm, Cook Auditorium
Wednesday (due Friday): (Assignment 12)
  • Study: Chapter 8, section 6
  • Do: pp 635 - 636: 1, 5, 9, 11, 49, 51, 53
Friday (due Monday): (Assignment 13)
  • Study: Chapter 5, section 5
  • Do: pp 377 - 378: 1, 5 (Midpoint and Trapezoid Only)
    pp 637 - 638: 82, 84a, plus (in Maple notation):
    • Determine whether the following integrals converge or diverge.
    int(1/(x^3 - 5), x = 2..infinity)
    int(1/(sqrt(x) + x^2),x=1..infinity)
First Hour Exam Information

The first Math 11 exam will be held Tuesday, October 20 from 4 - 6 pm in Spaulding Auditorium.

The exam covers all material from the beginning of term through Assignment 9.

The exam is designed so that well-prepared students can complete the exam in one hour, however you will be given two hours for the exam which should eliminate time pressure considerations for all students.

Please arrive by 3:45 pm to allow ample time to get seated, settled, and exams distributed by 4:00. For this exam, there will be plenty of room, so put a couple of empty seats between you and other students.

Naturally, bring writing implements; pens or (sharpened) pencils are fine. Scrap paper will be attached to each exam; you may not use your own.

Calculators may be used for numerical work or graphing if you like, but under no circumstances are they to be used in any other way, e.g., to store information, run programs, symbolic manipulation. They are certainly not required, nor should they be of much use. Except in trivial cases or when requested, answers need not be simplified and more importantly, answers need to be exact. For example, someone saying the answer to a problem is 1.414213562 instead of the correct answer of sqrt(2) is wrong, and will lose credit accordingly.

There will be a Question and Answer session on Monday (October 19), starting at 7pm in Cook Auditorium.

Sample questions will be available via the Math 11 home page.


Week of Oct 26 - Oct 30, 1998
Assignments Made on:
Monday (due Wednesday): (Assignment 14)
  • Study: Chapter 5, section 5
  • Do page 378: [No Simpson's] 7, 9, 11, 16, and continue with #16 by computing a value of n so that the approximation of the integral in 16 using Midpoint rule (with n subintervals) has an error < 5 x 10^(-8).
Tuesday (due Friday): (Assignment 15)
  • Study: Chapter 10, section 2
  • Do page 752: 1a, 3a, 5, 7, 9, 17, 19, 30, 35, 41, 46
Wednesday (due Monday): (Assignment 16)
  • Study: Chapter 10, section 3
  • Do pp 767 - 769: 11, 13, 21, 29, 33, 34, 35, 37, 42


Week of Nov 2 - Nov 6, 1998
Notes:
  • Second Hour Exam, Wednesday, November 11, 4 - 6pm in Cook Auditorium, not Spaulding.
    The exam will cover assignments 10(Volumes) through 18(ratio test). If possible, try to arrive by 3:45pm.
    Seating will be tight, so sit with exactly one free space between you and your neighbors.
  • Question and Answer session: Tuesday, November 10, 7-9pm in Filene Auditorium (first floor Bradley Hall)
  • Final Exam scheduled for Sunday, December 6, 4 - 6 pm. Room TBA
Assignments Made on:
Monday (due Wednesday): (Assignment 17)
  • Study: Chapter 10, section 4
  • Do pp 776 - 777: 3, 11, 19, 21, 29, 31, 34, 47
Wednesday (due Friday): (Assignment 18)
  • Study: Chapter 10, section 5
  • Do pp 780 - 781: 1, 3, 5, 7, 8, 18, 21, 24
Friday (due Monday): (Assignment 19)
  • Study: Chapter 10, section 6
  • Do pp 787 - 789: 6, 11, 13, 21, 23, 25, 29, 31


Week of Nov 9 - Nov 13, 1998
Notes:
  • Second Hour Exam, Wednesday, November 11, 4 - 6pm in Cook Auditorium, not Spaulding.
    The exam will cover assignments 10(Volumes) through 18(ratio test). If possible, try to arrive by 3:45pm.
    Seating will be tight, so sit with exactly one free space between you and your neighbors.
  • Question and Answer session: Tuesday, November 10, 7-9pm in Filene Auditorium (first floor Bradley Hall)
  • Final Exam scheduled for Sunday, December 6, 4 - 6 pm. Room TBA
Assignments Made on:
Monday (due Wednesday): (Assignment 20)
  • Study: Chapter 10, section 7
  • Do pp 793 - 794: 5, 7, 9, 11, 17, 25, 27, 31
Wednesday (due Friday): (Assignment 21)
  • Study: Chapter 10, section 8
  • Do pp 800 - 801: 3, 5, 14, 19, 25, 27, 31
Friday (due Monday): (Assignment 22)
  • Study: Chapter 10, section 1
  • Do page 734: 1, 3, 7, 9, 11, and
    Determine what degree Taylor polynomial is required to guarantee an error of less than 10^(-14) for sin(x) on the interval [-pi, pi].


Week of Nov 16 - Nov 20, 1998
Assignments Made on:
Monday (due Wednesday): (Assignment 23)
  • Study: Chapter 10, section 9
  • Do page 812: 1, 7, 10, 13, 21, 30, 37
Wednesday (due Friday): (Assignment 24)
  • Study: Chapter 11, sections 1 and 3 (first part of 3)
  • Do page 836: 9, 13, 21, 33
    page 851: 2b, 3e, 9a,d
Friday (due Monday): (Assignment 25)
  • Study: Chapter 11, sections 2 and 3
  • Do pp 844 - 845: 9, 16, 31
    pp 851 - 852: 11, 12, 25, 34


Week of Nov 23 - Nov 27, 1998
Assignments Made on:
Monday (due Wednesday by classtime): (Assignment 26)
  • Study: Chapter 11, section 4
  • Do pp 862 - 863: 1, 9, 15, 16, 19, 21, 27, plus what is the significance of the different answers in 15, 16?
Tuesday (due Monday): (Assignment 27)
  • Study: Chapter 11, section 5
  • Do pp 868 - 869: 1, 3, 5, 9, 15, 17, 21, 23
Friday: No Class Wednesday or Friday


Week of Nov 30 - Dec 2, 1998
Assignments Made on:
Monday (due Wednesday): (Assignment 28)
  • Study: Chapter 11, section 6
  • Do pp 879 - 880: 5, 11, 13, 17, 21, 25, 35, 37
Wednesday:
  • Study: Everything. Final is December 6, 4 - 6pm in Cook Auditorium
  • Do ``or do not; there is no try''.... Yoda, Jedi Master

Created by T. R. Shemanske on 20 Jul 1998
Last modified by T. R. Shemanske on 13 Nov 1998
Graphics by The Gimp