Math 242 - Multivariable and Vector Calculus
UMass Boston
Spring 2015

Course Description: Differential and integral calculus of functions of several variables and of vector fields. Topics include Euclidean, polar, cylindrical, and spherical coordinates; dot product, cross-product, equations of lines and planes; continuity, partial derivatives, curves, directional derivatives, gradient; optimization in several variables; multiple integrals, iterated integrals, change of coordinates, Jacobians, general substitution rule. Surfaces, parametrizations, line integrals, surface integrals; circulation, flux, divergence; conservative, solenoidal vector fields; scalar, vector potential; Green, Gauss, and Stokes theorems.
Which version should you take:
  • Mathematics and Engineering majors: Math 242 is required.
  • Physics majors: Both Math 240 and Math 242 are accepted, but Math 242 is recommended.
  • Math minor: Both Math 240 and Math 242 are accepted.
  • Students who already have credit for Math 240 should enroll in Math 242R (1 credit).
Syllabus: [PDF file]
Schedule: TuTh 11:00am - 12:15pm AND Tu 12:30pm - 1:20pm, in W-01-064.
Help: Office hours: By appointment, TuTh 9:30am - 10:40am, Tu 2:00pm - 3:00pm, and Th 1:00pm - 2:00pm. Please follow this link to schedule a 10 or 20 minute appointment, at least 3 hours in advance. You can stop by my office without a confirmed appointment, but I may be unavailable.
Piazza: Instead of sending questions by email, please use the discussion boards available at piazza.com to post questions and provide answers.
Tutors: Math tutoring will be available trough the Math Resurce Center. Schedule and details will be posted when available, usually within the first two weeks of the semester.
Assignments: WebWorK: website and instructions.
Practice problems: [PDF file]
Lectures: Lecture notes are available through the piazza account.

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