Calculus I - Mathematics 141,   Sections 003 and 004


Fall 2005


University of South Carolina

      Instructor     Graduate Assistant     Supplemental Instructor  
      Matthew Boylan     Francesca Reale     Susan Crook  
  Office     LeConte 400G     LeConte 104B      
  Phone     777-8874     576-5944      
  E-mail     boylan@math.sc.edu     realef@math.sc.edu     crooksb@mailbox.sc.edu  
  Office hours     Wed. 10:00 - 11:00     Tues. 10:30 - 11:30      
  Thurs. 2:00 - 3:00     Thurs. 10:30 - 11:30     see below  
  and by appointment     and by appointment      

  • University of South Carolina Mathematics Department .

    • Course information :

  • Text : Calculus, Early Transcendentals, by Anton, Bivens, and Davis, 8th ed., Wiley, 2002.

  • Meeting schedule :

          Section 003     Section 004  
      Lecture     MWF     9:05 - 9:55     LeConte 113     MWF     9:05 - 9:55     LeConte 113  
      Maple lab     Tues.     8:00 - 8:50     LeConte 102     Tues.     9:30 - 10:20     LeConte 102  
      Recitation     Thurs.     8:00 - 8:50     LeConte 121     Thurs.     9:30 - 10:20     LeConte 121  

  • Exam schedule :

      Exam 1:     Monday     September 19     9:05 - 9:55     LeConte 113  
      Exam 2:     Friday     October 21     9:05 - 9:55     LeConte 113  
      Exam 3:     Wednesday     November 16     9:05 - 9:55     LeConte 113  
      Final Exam:     Wednesday     December 7     9:00 -12:00     LeConte 113  

  • Homework :

    Homework will be assigned each lecture but not collected. Instead, a weekly quiz will be given based on the homework.

  • Grading :

          Points/650     % of grade  
      Three hour exams:     100 pts. x 3     15% x 3  
      Final exam:     200 pts.     30%  
      Maple lab assignments:     100 pts.     15%  
      Quizzes:     50 pts.     10%  
      Total:     650 pts.     100%  

  • Make-up policy :

    Missed quizzes and exams will not be made up.

  • Calculators :

    Calculators may be used to do homework, but not to do quizzes or exams.

  • Syllabus : (pdf)   (ps)

  • Supplemental instruction :

    Sections 003 and 004 will have a supplemental instructor (SI). An SI is a student who has recently done well in the course. This student will attend lectures and hold regularly scheduled review sessions.

    SI sessions run Monday, Tuesday, and Wednesday, 7 - 8 pm, in the Williams-Brice building, room 135.

  • Other help resources : Math lab , Private tutors , On-line materials for courses   (past 141 homepages),

    Math library   (calculus textbooks on reserve).

    • Lectures and Homework :

    Lectures Homework
      Dates     Sections     Topics     Problems     Quiz date  
      Aug     19     F     1.1     functions     3, 4, 10, 12, 14, 20, 24, 32     Thurs., 8/25  
      22     M     1.3     operations on functions, symmetry     2, 10, 12, 18, 20, 22, 24, 30, 38, 40, 42, 60, 62, 64, 66, 75     Thurs., 9/1  
      24     W     1.5     inverse functions     8, 10, 16, 22, 28 a, 30, 38, 40 a, d     Thurs., 9/1  
      26     F     1.5, 1.6     exponential and logarithmic functions     2, 6, 10, 12, 14, 22, 24, 30, 32, 34     Thurs., 9/8  
      29     M     2.1     introduction to limits     6, 8, 10, 12, 20     Thurs., 9/8  
      31     W     2.1, 2.2     rules for computing limits     6, 12, 14, 24, 25, 26, 28, 30, 32, 34, 36, 38     Thurs., 9/8  
      Sept     2     F     2.2, 2.3     rules for computing limits, limits at infinity     6, 8, 10, 14, 18, 22, 24, 28, 34, 44, 48, 50, 52, 56, 58, 66, 72, 76, 80     Thurs., 9/15  
      7     W     2.5     continuity     5, 12, 16, 20, 22, 24, 26, 35, 38, 41, 43     Thurs., 9/15  
      9     F     2.5     continuity     see Sept. 7     Thurs., 9/15  
      12     M     2.6     limits and continuity of trigonometric functions; the squeeze theorem     18, 21, 23, 26, 27, 30, 34, 39, 47, 48, 63, 75 a, b      
      14     W     2.6     limits of trigonometric functions     see Sept. 12      
      16     F     3.1     tangent lines and velocity     5, 8, 11, 12, 15, 16, 23     Thurs., 9/29  
      19     M     -     Exam I     Chapter 1: 12-18, 25-29, Chapter 2: 1, 2 b, 5-20, 31-33, 35-37     Sections: 1.1, 1.3, 1.5, 1.6, 2.1, 2.2, 2.3, 2.5, 2.6  
      21     W     3.2     the derivative function     9, 13, 15, 16, 23, 27, 43, 45     Thurs., 9/29  
      23     F     3.3     techniques of differentiation     7, 11, 18, 22, 34, 35, 39a, 51, 55, 65, 66a     Thurs., 9/29  
      26     M     3.4     the product and quotient rules     7, 8, 15, 16, 19 b, 21 c, 23, 26, 27, 31, 32     Thurs., 10/6  
      28     W     3.5     derivatives of trigonometric functions     1, 5, 8, 11, 14, 21, 24, 29 b, 31, 36     Thurs., 10/6  
      30     F     3.6     the chain rule     5, 7, 13, 15, 18, 22, 29, 30, 35, 37 40, 49, 54     Thurs., 10/6  
      Oct   3     M     3.7     related rates     12, 15, 17, 18, 20, 25, 28, 30, 32, 33, 39     Thurs., 10/20  
      5     W     4.1     implicit differentiation     2, 13, 17, 20, 23, 31, 34, 43, 47 b, 51, 52 a     Thurs., 10/20  
      7     F     4.2     derivatives of logarithms     3, 6, 11, 15, 24, 28, 31, 34, 37, 41, 51     Thurs., 10/20  
      10     M     4.2     derivatives of logarithms (continued)         Thurs., 10/20  
      12     W     4.3     derivatives of exponentials     12, 15, 16, 17, 21, 22, 25, 29, 57     Thurs., 10/20  
      17     M     4.3     derivatives of inverses     1, 5, 10, 33, 40, 42, 51, 55, 70, 71     Thurs., 10/27  
      19     W     4.4     L'Hopital's Rule     2, 5, 8, 14, 21, 25, 30, 32, 35, 38, 43, 49 a, 50 a, 53     Thurs., 10/27  
      21     F     -     Exam II     Review Chap. 3: 3, 4, 7, 9, 10 b, 11, 12, 19, 25, 26, 28, 29, 30, 31, 39, 41, 42; Review Chap. 4: 7, 8, 9, 13, 14, 19, 20, 21, 22, 23, 27, 28, 30, 31, 35, 36, 39, 40, 43, 44     Sections 3.1-3.7, 4.1, 4.2, and 4.3 (through derivatives of exponentials, 10/12)  
      24     M     5.1     increase and decrease of functions concavity     6, 9, 11, 18, 19, 20, 23, 26, 27, 31, 37     Thurs., 11/3  
      26     W     5.2     relative extrema     4 a, b, 5, 8, 11, 17, 20, 25, 28, 33, 37, 39, 41     Thurs., 11/3  
      28     F     5.3     graphing rational functions     1, 3, 12, 15, 21, 23, 31, 35, 43, 51, 63     Thurs., 11/3  
      31     M     5.1, 5.2, 5.3     review of last week's topics     see homework 10/24, 10/26, 10/28     Thurs., 11/10  
    Nov   2     W     5.4     absolute extrema     3, 5, 7, 11, 12, 13, 15, 21, 23, 28, 33, 35, 37     Thurs., 11/10  
      4     F     5.5     Applied maximum and minimum problems     2, 7, 9, 11, 13, 16, 17, 21, 25, 29, 33, 55     Thurs., 11/10  
      7     M     5.7     Rolle's Theorem and the Mean Value Theorem     2, 5, 7, 12, 15, 16, 25, 27, 29, 31      
      9     W     6.2     the indefinite integral     9, 11, 14, 17, 19, 21, 25, 29, 33, 35, 36, 63      
      11     F     6.3     integration by substitution     1, 5, 9, 13, 15, 17, 23, 25, 29, 31, 37, 47      
      14     M     6.4     area as a limit     7, 9, 14, 15, 20, 25, 29a, 39, 41, 45, 47     Thurs., 12/1  
      16     W     -     Exam III     Review Chap. 4: 33, 34, 59, 61, 62, Review Chap. 5: 3, 5, 7, 15 b, c, 22, 25 b, 26 b, 27 c, 28 b, 29, 33, 34, 43, 44, 53, 54 b, 55 b, 56 b, 60, 63, 71 b, 72 b, 74, Review Chap. 6: 3, 6, 7, 10, 17, 18, 19, 20     Section 4.3 (derivatives of inverses, 10/17), Sections 4.4,
    5.1 - 5.5, 5.7, 6.2, 6.3  
      18     F     6.5     the definite integral     4, 7, 9, 13, 15, 21, 25, 27, 31, 38     Thurs., 12/1  
      21     M     6.6     The Fundamental Theorem of Calculus     5, 6, 9, 15, 17, 21, 22, 31, 51, 57, 59, 65, 75     Thurs., 12/1  
      28     M     6.8     definite integrals by substitution     1, 4, 7, 9, 11, 13, 15, 17, 21, 25, 29, 33, 35, 41, 43, 45, 47, 51      
      30     W     6.6, 6.8              
    Dec   2     F         review     Review Chap. 6: 21, 27, 28, 33-36, 38, 40, 44, 45, 46, 53, 63, 64, 65, 71, 93-101     Sections 6.4, 6.5, 6.6, 6.8, 6.9 (11/14-11/30)  
      7     W     -     Final Exam, 9 - 12     Cumulative: See homework and review exercises from Chapters 1-6.