Math 550 (Vector Analysis) Section 001
Fall 2010

Lectures in LeConte 405

MWF 12:20 -- 1:10 PM

Professor: Peter J. Nyikos

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

Special office hours will be held on the week of exams: Monday, Dec. 6, 1:30 - 4:30; Tuesday, Dec. 7, 2:30 - 4:30; Wednesday, Dec. 8, 2:00-5:30; Thursday, Dec. 9, 12:00 - 4:15: later days Tba.

Usual Office Hours: 11:00 - 12:00 MWF, 2:30 - 3:20 Tuesdays, and 3:30 - 4:30 MW or by appointment (or any time I am in). Exceptions posted on door and announced in advance whenever possible.

The first hour test was on Wednesday, September 29. It covered Chapter 1 and Sections 2.3, 2.4, 2.7 and 2.8.

The second hour test was on Wednesday, October 27. It covered 2.6, 3.3, 4.3, 4.6, 6.2, and 6.3.

The third hour test was postponed from Friday, November 19 to Monday, November 22. It covered reconstructing a function from its gradient (4.6 exercises) 5.1, 5.2, 5.3, and 6.5.

Email: nyikos @

Prerequisite: C or better in Math 241.

Last day to withdraw with a "W": October 7.

The textbook for this course is Vector Calculus, , by Miroslav Lovric.   ISBN-13   978-0-471-72569-5;     ISBN-10   0-471-72569-2.

Approximately one half of this course will cover 241 material in greater depth, emphasizing vector fields; the other half will be essentially new material, including differentiation of vector fields (Section 2.4), change of variables in multiple integrals (Sections 6.4 and 6.5), and surface integrals (Chapters 7 and 8). There will be material covered from all eight chapters, but some will be emphasized much more than others.

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 hour tests, nor the final exam will require their use, although they may save some time on a few problems. Programmable calculators are not permitted for quizzes, hour tests, or the final exam.

The course grade will be based on quizzes, homework, 3 one-hour tests, a final exam, and attendance. Details on this and on various policies can be found here in pdf format.

Learning Outcomes: Students will master concepts and solve problems based upon the topics covered in the course, including the following: vector fields, line and path integrals, orientation and parametrization of lines and surfaces, differentiation of vector fields, change of variables in double and triple integrals, Jacobians, oriented surface integrals, theorems of Green, Gauss, and Stokes.

Practice problems from the first four lessons (August 20, 23, 25, 27):

Homework to be handed in on Friday, August 27:

  • 1.1 numbers 6, 14, 22
  • 1.2 number 4: parametrize the line and the segment with the two points as endpoints.
  • 1.3 numbers 8, 12

    Homework handed in from on Wednesday, September 8:

    Practice problems from 2.4, not to be handed in:

    Homework handed in from 2.4 on Wednesday, September 15:

    There was a quiz on Monday, September 20, with a problem on directional derivatives.

    Practice problems from 2.5 and 2.7, not to be handed in:

    Homework handed in on Wednesday, September 22:

    Homework handed in on Monday, September 27:
    Re-do Problem 48 on p. 110 in two ways:
    (a) with z = 0 and x = 4 and y = 15 (b) with z = -0.1 and x = 4 and y = 15

    Homework handed in on Wednesday, October 6:

    Practice problems from 2.6 and 2.7, not to be handed in:

    Homework handed in on Monday, October 11:

    Practice problems from 4.3, 6.2 and 6.3, not to be handed in:

    Homework handed in on Monday, October 18:

    There was a quiz on Friday, October 22, on Section 6.3.

    Practice problems in 6.5:
    numbers 1, finish 5, 7 and 9, 11, 13, finish 21, 31

    Homework handed in on Friday, October 29: