Math 362: Vector Calculus

Course Information

Professor: Kiril Datchev
Section 11 Lectures: Tuesdays and Thursdays 12:00 to 1:15 pm, in UNIV 103.
Section 21 Lectures: Tuesdays and Thursdays 1:30 to 2:45 pm, in UNIV 103.
Office hours: Tuesdays and Thursdays 2:50 to 3:20 pm, Wednesdays 3:30 to 4:30 pm, or by appointment, in MATH 602.

Textbook: Vector Calculus (6th Edition), by Jerrold E. Marsden and Anthony Tromba, on reserve in the math library. An older edition will also work, as I won't be using the book to assign homework problems. We will cover most of the material in the book: the geometry of Euclidean space in all dimensions, differentiation of functions of several real variables, higher-order derivatives, maxima and minima, vector-valued functions and their derivatives, double and triple integrals, change of variables, integrals over curves and surfaces, and the integral theorems of vector analysis. Later on, we will use Donu Arapura's online notes on differential forms.

Grading is based on

  • Weekly homework assignments, worth 15% of the total grade,
  • Midterm I, on Monday, February 6th, from 8:00 to 9:30 pm, in CL50 224, worth 25% of the total grade,
  • Midterm II, on Monday, April 3rd, from 8:00 to 9:30 pm, in MTHW 210, worth 25% of the total grade,
  • A Final Exam, on Friday, May 5th, from 8:00 to 10:00 am, in ME 1061, worth 35% of the total grade.
  • Homework is due in class on Thursdays, or in MATH 602 by 3:20 pm. It may be handed in up to one week late for half credit. Here are the assignments:

    Homework 1, due January 19th.
    Homework 2, due January 26th.
    Homework 3, due February 2nd.
    There is no homework due February 9th, but take a look at the midterm review problems.
    Homework 4, due February 16th.
    Homework 5, due February 23rd.
    Homework 6, due March 2nd.
    Homework 7, due March 9th.
    Homework 8, due March 23rd. See also these extra notes on two forms.
    Homework 9, due March 30th.
    There is no homework due April 6th, but take a look at the midterm review problems.
    Homework 10, due April 13th.
    Homework 11, due April 20th.
    Homework 12, due April 27th.
    Final exam review problems

    Useful Links

  • Procedures for students requiring classroom or exam accommodations.
  • Emergency preparedness briefing.