The
University of Massachusetts Boston
Department
of Mathematics
MA354
Vector Calculus, Spring 2005
Instructor: Prof. Alfred Noël
Office : 3-175 Science Building
Phone : (617)-287-6458
Email : anoel@math.umb.edu
Url : http://www.math.umb.edu/~anoel
Class hours : Tuesday, Thursday 4:00 PM - 5:15 PM, M/2/-206
Office hours: Tuesday, Thursday 2:25 PM – 3:55 PM
Text : Vector Calculus 2nd Edition by Susan J. Colley Publ. Prentice Hall + Student solution manual
Course Info: Differential and integral calculus of vector fields.
Topics include line integrals, surface-area integrals, and smoothness; oriented
curves and surfaces; circulation and flux of fields; Stokes' theorem;
conservative, solenoidal fields; scalar, vector potentials; independence of
path, surfaces, Maxwell's equations; and differential forms, exterior
derivatives. (This course is normally offered every third semester, in rotation
with Math 350 and Math 358.)_Prerequisite: Math 240 and Math 260. 3 Lecture
Hrs, 3 Credits. We will revisit the notions of derivatives and integrals using
vectors. We will study them on vector spaces and we will relate them to what
students have learned in the early calculus courses. The student who finishes
the course will have a good grasp of some non trivial tools that are
indispensable to scientists and engineers. Applications are to be found notably
in physics, computer graphics, computer aided engineering and manufacturing,
mathematics etc…
Material to be covered: We hope to cover chapters 1 – 7. We shall put emphasis on the vector aspect of the theory. More precisely we will generalize many familiar notions to arbitrarily large spaces. Chapter 1 is a review of vectors and matrices. In each chapter we will review the multivariate calculus background needed.
Click Here to find your homework
There will be 5 homework assignments a midterm exam and a final exam:
Midterm: (1 hour exam) Thursday March 24, 2003
FINAL EXAM : during the Final week
Grading Procedures: Homework à 50%, Midterm à 20%, Final à 30%
THERE WILL BE NO MAKEUP EXAMS.
STUDENTS ARE RESPONSIBLE FOR MATERIAL COVERED IN CLASS.