MATH 2057: Multidimensional Calculus

MATH 2057   Multidimensional Calculus   Fall 2011

  Section 4   Instructor: Dan Cohen   Phone: 578-1576
  T Th   7:30 - 9:00 am     Office Hours:   T Th   9:00 am - 10:30 noon  
           and by appointment
  138 Lockett   Office: 372 Lockett   URL:  

Text:  Rogawski, Calculus (Early Transcendentals Version). We will cover (portions of) chapters 14 though 17.

Prerequisites:  MATH 1552 (Calculus II).

Description:  In the third semester of the Calculus sequence, we extend the basic notions from first-year Calculus, differentiation and integration, and their interpretations and applications (tangents, optimization, area, volume...) to functions of several variables. We also study Vector Calculus, generalizing integration to line and surface integrals. These integrals arise in a number of applications (work, fluid flow, electricity and magnetism...), and are related to their predecessors by analogues of the Fundamental Theorem of Calculus.

Catalog Description: Three-dimensional analytic geometry, partial derivatives, multiple integrals.

The departmental syllabus may be found at

Exams:  There will be two, 80 minute in-class exams. The exams will tentatively take place in the weeks of September 19 and October 31. Exact exam dates will be announced in class. No make-up exams, except in extreme cases. If you must miss an exam, I will expect you to notify me before the exam takes place.

Homework: This section of Calculus III will use the computer package WeBWorK for the assigning and grading of homework. The WeBWorK log-in page for this course is


Your username is your PAWS email name, and your initial password is your 89 ID number (with no spaces or hyphens). You may change your password if you wish. WeBWorK also stores your PAWS email address. If you prefer another email address, you may change this as well.

WeBWorK assignments will be given throughout the semester. The first assignments are available now. You should make sure you can successfully log in, and begin working on it immediately. In total, WeBWorK homework will be worth the same as a single in-class exam.

I will assign other homework problems from the text (to be done by hand for practice) essentially every class. These homework assignments will be announced in class and posted.

Homework, both from WeBWorK and the text, will occassionally be discussed in class as necessary.

Final:  There will be a comprehensive final exam. The final exam is scheduled for Thursday, December 8, 7:30 - 9:30 am.

Grade:   Your course grade will be based on the final, the in-class exams, and the WeBWorK homework grade. The final is worth 150 points, each exam is worth 100 points, and the homework is also worth 100 points. I may curve course grades. In any case, 90-100% is assured an A, 80-89% a B, and so on.

Important Dates:   August 29 is the last day to drop; August 31 is the last day to add; November 4 is the last day to withdraw;
Fall Holiday is October 13-14; Thanksgiving is November 23-25.

Notes:   Calculators, computers, books, notes, etc. may not be used on the in-class exams or the final exam.

Bear in mind that you are taking this course under the guidelines of the Code of Student Conduct.

Dan Cohen   Fall 2011