Math 13

Fall 2011

Calculus of Vector valued functions

General Information



Textbook: “Vector Calculus” by Jerrold E Marsden and Anthony J. Tromba, fifth edition, published by W. H. Freeman and Company, available at Wheelock Books


ORC Course description: This course is a sequel to Mathematics 8 and provides an introduction to calculus of vector-valued functions. Topics include differentiation and integration of parametrically defined functions with interpretations of velocity, acceleration, arclength and curvature. Other topics include iterated, double, triple and surface integrals including change of coordinates. The remainder of the course is devoted to vector fields, line integrals, Green’s theorem, curl and divergence, and Stokes’ theorem.

Prerequisite: Mathematics 8 or equivalent.



Prerequisite: Mathematics 8.


Instructor and Scheduled Lectures:


Vladimir Chernov

Office: 304 Kemeny Hall

Phone number 646 2421,

blitz (preferred)

Classes: MWF 11:15 AM -12:20 PM

(x-hour) Tu 12-12:50 PM

Class location: Haldeman 028

Tentative Office hours:

Monday 3-4:30 PM, Tuesday 2-3:30 PM, Friday 3-4:30 PM and by appointment.  I am very flexible with appointments so do not hesitate to make one if needed. If on a certain day there will be no class, then there will be no office hours on this day as well.




Written Homework

WeBWorK homework and information





Course Grade will be based upon the scores for Written Homework, WeBWorK homework, two Midterm Exams, and the Final Exam as follows:


 Written Homework




Two Midterm Exams

25% each (50% total)

Final Exam

35 %




Exams: There will be two in-class "midterm examinations" and an in-class final examination. These will not be during the regular class times.


Do not make plans to leave Hanover before the end of the final exam week. The exams will not be given earlier to accommodate your travel plans. The exams are scheduled as follows:



1st  Midterm Exam

6-8 PM Tuesday October 18 in Carpenter 013

2nd Midterm Exam 

6-8 PM Tuesday November 8 in Carpenter 013

Final Exam

3 - 6 PM Saturday

December 3, in Kemeny 007




Both the Written Homework and the WeBWorK homework: will be assigned after each lecture. It will generally be due on Wednesday of the week following the week when it was assigned. The Written homework and the due dates can be found here. The WeBWorK assignment can be found here


Late homework will not be accepted. If you feel there is a very legitimate reason for your homework to be late you should discuss this with the Instructor in advance. Unexcused and missing papers count zero.


Tutorials for the class are 7-9 PM on Tuesday in Haldeman 028, 5-6:30 PM on Thursdays in Kemeny 108, and 7-9 PM Sundays in Haldeman 028. Note that the location and time for the tutorial on Thursday is different from those on Tuesday and Sunday. Tutorials will be run by the Graduate Student Teaching Assistant Megan Ehresmann. Please note that the students in the previous years found these tutorials to be very helpful!


Honors Principle:

·       On Exams: No help given or received.

·       On Written Homework and WeBWorK Homework: Collaboration on homework is allowed and encouraged but no copying!

·       In general: when in doubt ask before doing.



Disabilities: Students with learning, physical, or psychiatric disabilities enrolled in this course that may need disability-related classroom accommodations are encouraged to make an office appointment to see your instructor before the end of the second week of the term. All discussions will remain confidential, although the Student Accessibility Services office may be consulted to discuss appropriate implementation of any accommodation requested. At such a meeting please provide your instructor with a copy of a disability registration form, which lists the accommodations recommended for the student by Student Acessibility Services within the Academic Skills Center. The person you might want to contact at the Academic Skills center is Ward Newmeyer, Interim Director of Student Accessibility Services 301 Collis Center - (603) 646-9900.

Student Religious Observances: Some students may wish to take part in religious observances that fall during this academic term.  Should you have a religious observance that conflicts with your participation in the course, please come speak with your instructor before the end of the second week of the term to discuss appropriate accommodations.