Alexander Teplyaev

    office: MSB M222
    office hours:   MW 1:00-1:50pm, F 10:00-11:00am
    phone: (860)486-3206

Mathematics 220Q: Enhanced Multi-variable Calculus -- Fall 2005

Monday2:00 - 2:50MSB219
Wednesday2:00 - 2:50MSB219
Friday1:00 - 1:50 and 2:00 - 2:50MSB219

Link to HW assignments
Assignment due Friday, December 2.
Midterm exam 1 - Friday, September 30
Midterm exam 2 - Friday, November 4
Final exam - Tuesday Dec 13, 3:30 - 5:30 PM (according to

Links: integrator, calculus tools, DE tools , better DE tools


Text: Multivariable Mathematics, Fourth Edition, by Richard Williamson, Hale Trotter Publisher: Prentice Hall;
4 edition (June 24, 2003) ISBN: 0130672769
The same textbook is likely to be used in the Spring 2006 for Math 221Q.

Course description

Math 220Q. Four credits. Prerequisite: MATH 121 or instructor consent. Open to sophomores or higher. Not open to students who have passed MATH 210. MATH 220 satisfies any requirement met by MATH 210, and provides superior preparation for prospective mathematics, science, and engineering majors. The subject matter of MATH 210 (two- and three-dimensional vector algebra, calculus of functions of several variables, vector differential calculus, line and surface integrals) in greater depth, with emphasis on the underlying mathematical concepts. Please don't expect that the course will be completely structured at the beginning of the semester. It is in the nature of an enhanced course that it reflect the mutual interests of the instructor and the members of the class. This is a course whose pace and, to some extent, content is determined by the people involved not by a syllabus.


1. Vectors. 2. Equations and Matrices. 4. Derivatives. 5. Differentiability. 6. Vector Differential Calculus. 7. Multiple Integration. 8. Integrals and Derivatives on Curves. 9. Vector Field Theory.


Homework & Quizzes    10%
Midterm Exam 1 25%
Midterm Exam 2 25%
Final Exam40%

There will be no makeup given for students who miss an exam, quiz or homework assignment. If a student misses a midterm exam, quiz or homework assignment because of justified and well documented circumstances, her/his grade will be prorated (the other elements of the coursework will be fairly weighted and used to replace the missing grade). Students are permitted to miss two midterm exams only under dire and documented circumstances.