Math 242 - Multivariable and Vector Calculus
Math 240 - Multivariable Calculus
UMass Boston
Fall 2013

Course Description:
  • Math 240 (3 credits): 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.
  • Math 242R (1 credit): Surfaces, parametrizations, line integrals, surface integrals; circulation, flux, divergence; conservative, solenoidal vector fields; scalar, vector potential; Green, Gauss, and Stokes theorems.
  • Math 242 (4 credits): All topics covered in Math 240 and Math 242R.
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:
  • Tu 1:00 - 1:50pm, TuTh 2:00pm - 3:15pm.
  • Classes meet at the same time as a combined section.
  • Students enrolled in Math 240 are responsible only for roughly the first 3/4 of the material (see the course descriptions above).
  • Students enrolled in Math 242R are responsible only for roughly the last 1/4 of the material (see the course descriptions above), but are advised to review the material covered by Math 240 before starting Math 242R.
Help: Office hours: By appointment, TuTh 3:30pm - 5:20pm. 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 for the fall semester will begin on Monday, September 16in the Math Resource Center, located on the 8th floor of the Healey Library. It is free and is available Monday - Thursday from 9:30 a.m. to 6 p.m. and on Friday from 9:30-5:00. Not all courses have tutoring at all these times.
Assignments: WebWorK: website and instructions.
Lectures: Lecture notes are available through the piazza account.

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