Math 241 (Vector Calculus) Section 001
SummerII, 2008

Lectures in LeConte 310
MTWTh 10:30--12:45

Professor: Peter J. Nyikos

Prof. Nyikos's Office: LeConte 406.     Phone: 7-5134

e-mail: nyikos @ math.sc.edu

Office hours Monday, August 4: 9:45 - 10:30, 12:45-1:00, 1:30-3:30 Special office hours Tuesday, July 31: 9:30-10:30, 12:50-1:15

The textbook for this course is Calculus, Early Transcendentals by Anton, Bivens, and Davis, 8th edition.

A syllabus for this course can be found here, except that we did not cover 14.5. Included in the syllabus is a list of practice problems in Sections 12.1 through 12.6. Practice problems in later sections are listed below.

During the first week we covered the syllabus for Chapter 12, except for 12.8, which was covered the first half of Monday's (July 14) class. We covered:

  • the syllabus for Chapter 13: July 14, 15, 16
  • the syllabus for Chapter 14, except 14.5: July 17, 21, 23
  • the syllabus for Chapter 15: July 24, 28, 29, 30, 31
  • Chapter 16, sections 1, 2, and 3: August 4-5

    The second half of the August 5 class, as well as all of the August 6 class, will be for review. There will be a midterm test one day during the third week of classes. The final exam will be on Friday, August 8 at the regular class meeting time.

    The final exam will be comprehensive but the main emphasis is on material covered since the midterm test, including the first three sections of Chapter 16. It is worth 200 points -- one-half of your overall grade --- and you will get the whole time of 10:30 - 12:45 to take it.

    Only simple calculators (in other words, those that may be used in taking SAT tests) are needed for this course, and they will be needed only a small fraction of the time, outside of class. Neither the quizzes, nor the midterm, nor the final exam will require their use, although they might save some time on a few problems for some students. Programmable calculators are not permitted for quizzes, the midterm, or the final exam.

    For a sample of how the grading system works, click here. It is for a different class, with three hour tests, but the idea behind it is the same.

    Further information on policies and grading can be found here in pdf format.

    The quiz Monday, July 14, is on Section 12.4.

    Practice problems in Section 12.8
    Quick Check 4, 5
    3(a)(b), 7(a)(d), 11(a), 33, 35, 37

    Practice problems in Section 13.1
    Quick Check 1(a)
    5, 9

    Practice problems in Section 13.2
    All Quick Check Exercises
    7, 25, 43

    Practice problems in Section 13.6
    Quick Check 1, 2
    Exercises 5, 7, 19, and 25.

    Practice problems in
    Section 13.3: Quick Check Exercise 1 and exercises 1, 5, 9, and 11
    Section 13.4: Exercises 5 and 9
    Section 13.5: Exercises 5 and 13

    Homework to be handed in Thursday, July 17:
    12.4, number 16
    12.5, number 18
    12.6, number 16
    12.8, numbers 8 (c)(d) and 40, solving for rho in part (b) of 40.
    13.2, number 22

    Practice problems in Section 14.1:
    Quick Check Exercises 2 and 3(a)
    Exercise 13 (a) (c) (e)

    Practice problems in Section 14.2:
    Quick Check Exercises 1, 2 (a) (b)
    Exercises 7, 9, and 25(b)(c).

    The quiz on Monday, July 21 is on Section 13.6; the one on Tuesday will be on Section 14.2

    The midterm is on Wednesday, July 23. There will be a review for 30-40 minutes, a break for 15 minutes, and the midterm will begin immediately after the break. It will cover the syllabus up through 14.3, except for 12.8.

    Practice problems on Section 14.3:
    Quick Check Exercises 1 and 2
    Exercises 1 (a) (d) (g), 5, 13, 31, 49, and 67.

    Practice problems on Section 14.6:
    Quick Check Exercise 1
    Exercises 3, 9, 21, 35, 37, 45, 51, 55.

    Practice problems on Section 14.7:
    Quick Check 1, 2, 3 and Exercises 5 and 7

    Practice problems on Section 14.8:
    All Quick Check Exercises
    Exercises 5, 7, 11

    The quiz on Monday, July 28 is on Section 14.6.

    Practice problems on Section 14.4:
    Exercises 9, 11, 13, 21, 29.

    Practice problems on Section 15.1:
    Quick Check exercises 2, 3, 4 and Exercises 5 and 15.

    Practice problems on Section 15.2:
    Quick Check exercises 1, 3, 4 and Exercises 7, 47 and 53.

    Practice problems on Section 15.3:
    Quick Check exercises 1, 2, 3 and Exercises 5, 9, 27 and 29.

    Practice problems on Section 15.5:
    Quick Check exercises 1 and 3, and Exercises 3 and 5.

    Homework to be handed in Thursday, July 31:
    14.4, number 32(a)
    14.6, number 68
    14.7, number 16(a)(b)
    14.8, number 10
    15.2, number 46
    15.3, number 32 Hint: use trigonometric identities; and see the table at the bottom of page 526.

    Practice problems in 15.7:
    Quick check 1, 2
    1, 3, 9, 15

    Practice problems in 16.1:
    Quick check 4
    1, 3, 13, 15

    Practice problems in 16.2:
    Quick check 3, 4
    7 b c, 11, 25b

    Practice Problems in 16.3:
    Just look at Example 4 of this section, and the notes from class on Exercise 9.