Fall 2011, Course 18.022: Multivariable calculus
                   TR1-2, F 2-3, Rm. 4-370
          Instructor Pavel Etingof
          Office 2-176
          Telephone (617)253-3669
          Email etingof@math.mit.edu
          Office hours Tuesday 2-4pm, Friday 1-2pm, or by appointment, if you
            cannot make these times.
          Course website Stellar and www-math.mit.edu/˜etingof
          Texts Vector calculus, by Susan Jane Colley, Third Edition, Prentice Hall,
            2006, and lecture notes by Prof. J. McKernan at
            http://math.mit.edu/˜mckernan/Teaching/10-11/Autumn/18.022/lectures.html
          Recitations There are four sections meeting MW at 11, 12 (2 sections) and
            1, please see Stellar for more details.
          Exams There will be a 3-hour final (during the exam week, time and loca-
            tion to be announced) and three midterms: September 27, October 18,
            and November 8 (all on Tuesdays). All midterm exams are 50 minutes
            long, and will be held during class time.
          Grading policy The homework will count 25% towards your final grade.
            The midterms will count 45% and the final exam 30% .
          Homework HomeworkisdueeveryweekonThursdaysby12:45pm,inroom
            2-114 (the first homework is due on September 15). Late problem sets
            are not accepted, however the lowest problem set score will be dropped.
           Syllabus:
           Calculus of several variables. Topics as in 18.02 but with more focus
          on mathematical concepts. Vector algebra, dot product, matrices, determi-
          nant. Functions of several variables, continuity, differentiability, derivative.
          Parametrized curves, arc length, curvature, torsion. Vector fields, gradient,
          curl, divergence. Multiple integrals, change of variables, line integrals, sur-
          face integrals. Stokes theorem in one, two, and three dimensions.
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