MATH 20B: CALCULUS AND ANALYTIC GEOMETRY (FALL 1999)
HOMEWORK ASSIGNMENTS TO DATE
  • 3.11: 3, 5, 7, 10, 44 and p. 266 (Taylor polynomials): 1, 4, 6.
  • 4.4: 1(c), 1(e), 2(a), 3(a), 6, 9, 12, 17, 18, 21, 26, 29, 41, 56.
  • 4.2: 2, 6, 12, 15, 17, 34.
  • 4.10: 1, 6, 12, 18, 22, 33, 65.
  • 5.1: 11, 19, 24
  • 5.2: 5, 7, 16, 30, 35, 37, 44, 49
  • 5.3: 5, 9, 11, 16, 21, 22, 29, 32, 37, 49
  • 5.4: 1, 6, 13, 26, 29, 39, 52, 58
  • Mathematical Induction: A brief description of this principle is given on page 79 of Stewart, 4th edition. You can practise by showing the summation formulas on page 381 are true (numbers 4, 5, 6). You can also try proving that the following are true for all positive integers n: (a) 2^n > n, (b) 1+3+5+...+ 2n-1 = n^2, (c) r+ r^2 +r^3 + .... + r^{n-1} =(1-r^n)/(1-r), r not equal to 1.
  • 5.5: 3, 6, 21, 27, 41, 55, 59, 62, 75.
  • 5.6: 3, 4.
  • p. 426: true-false questions 1-14.
  • Review problems (p. 426--428): 7, 41, 47, 49, 53, 67, 70, 72 (not compulsory -- but good practice).
  • 6.1: 1, 3, 21, 24, 37, 41, 45.
  • 6.2: 3, 9, 25, 33, 39, 43.
  • 6.5: 5, 13, 20.
  • 7.1: 5, 9, 13, 22, 29, 38, 56.
  • 7.2: 1, 9, 25, 41.
  • 7.3: 3, 7, 25.
  • 7.4: 1, 3, 5, 10, 15, 19, 25, 33, 65
  • 7.5: 3, 5, 7, 13, 16, 17, 20, 33, 59, 73. (You may regard these as some problems to practice for the midterm.)
  • 7.6: 9, 23, 24.
  • 7.7: 2, 9, 15, 21, 32
  • 7.8: 1, 5, 10, 13, 21, 33, 37, 51, 68
  • 9.1: 1, 9
  • 9.2: 3-6, 11, 23
  • 9.3: 3, 5, 11, 31
  • 8.1: 3, 9, 15, 21, 35
  • 8.2: 3, 7, 13, 17, 28, 31
  • 10.4: 1(b), 3(c), 11, 16, 19, 23, 35, 41, 56
  • 10.5: 5, 7, 13, 17, 28, 31
  • 10.6: 13, 15, 21, 23, 45
  • 10.7: 9, 11, 16, 27
  • Appendix G: 1, 3, 7, 11, 15, 21, 27, 31, 35, 37, 40, 45.
    QUIZZES AND MIDTERM: All quizzes and the midterm will be held 4.40-5.30 p.m. in PETERSON HALL 108.
    For each quiz and exam, please bring a blue book, your graphing calculator (NOT TI-89 or TI-92), your ID, and something to write with. Please sit with an empty seat between you and the next student. Graphing calculators may be used (except the TI-89 or TI-92 may NOT be used). You may leave numerical answers in unsimplified form. Make sure to justify your answers, i.e., explain your reasoning and show your work. In particular, if you use a theorem or rule, say what theorem or rule you are using and make sure to show that you have checked its conditions. Remember that part of each problem is to set it up and to arrive at the answer by a progression of logical steps. Please start each problem on a new page, write legibly, and put your name and the section in which you are enrolled on your blue book.

    QUIZZES:

  • Monday, October 11: Will cover 3.11, 4.4, 4.2, 4.10.
    This quiz is closed book: no notes or books may be used.

  • Monday, October 25: Will cover 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, and induction.
    This quiz is closed book: no notes or books may be used.

  • Monday, November 22: Will cover 7.7, 7.8, 9.1, 9.2, 9.3. You may bring a single sheet of 8.5"x11" paper with writing on one side of it to this quiz. No other notes or books are allowed.

  • Monday, December 6: Will cover 8.1, 8.2, 10.4, 10.5 (but will not test tangents or arc lengths for polar curves). You may bring a single sheet of 8.5"x11" paper with writing on one side of it to this quiz. No other notes or books are allowed.

    Solutions to quizzes that have already been given and to the midterm are available from soft reserves. The text of programs for various calculators is available at a website at the University of Arizona: click here to go there. You will want the All Sums, Slope Field and Euler programs.

    EXAMS:

  • Midterm -- Monday, November 8, 4.40--5.30 p.m., Peterson Hall 108.
    This midterm will be a test of all material covered up to and including Section 7.5.
    For this midterm, in addition to the items listed above, you may bring one 8.5"x11" sheet of notes with writing on ONE side only. No other notes or books may be used for this exam.
    REVIEW SESSION FOR THE MIDTERM: Friday, November 5, 4 p.m., in SOLIS 104.

  • FINAL EXAM -- Thursday, December 16, 3--6 p.m.
    Final exam room: students whose last names start with the letters A-Q should go to HSS 2250 for the final exam. Students whose last names start with the letters R-Z should go to HSS 1330 for the final exam.

    The final will be an overall test of the material covered in the course. There will be some review sessions in the week before the final. For the final exam, please bring one or two blue books, your graphing calculator (NOT TI-89 or TI-92), your ID, and something to write with. You may bring one 8.5"x11" sheet of notes with writing on ONE side only. No other notes or books may be used for this exam.

    Please sit with an empty seat between you and the next student. Graphing calculators may be used (except the TI-89 or TI-92 may NOT be used). You may leave numerical answers in unsimplified form unless stated otherwise or you need the answer to compute something else. Make sure to justify your answers, i.e., explain your reasoning and show your work. In particular, if you use a theorem or rule, say what theorem or rule you are using and make sure to show that you have checked its conditions. Remember that part of each problem is to set it up and to arrive at the answer by a progression of logical steps. Please start each problem on a new page, write legibly, and put your name and the section in which you are enrolled on your blue book.

  • Professor Williams' office hours for Finals Week, AP&M 6121
    Monday, December 13, 1999: 3.30-5.30 p.m.
    Wednesday, December 15, 1999: 2-4 p.m.

    For some practice problems for the final exam, click for .dvi format, for postscript format or goto Bernhard Lamel's page for other formats by clicking here.