2010 Spring MATH 105-01
Bulletin Course Description Partial differentiation, multiple integrals, and topics in differential and integral vector calculus, including Green's theorem, Stokes's theorem, and Gauss's theorem for students with a background in linear algebra. Not open to students who have taken Mathematics 102 or 103. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title VECTOR CALCULUS Department MATH Course Number 2010 Spring 105 Section Number 01 Primary Instructor Bray,Hubert Prerequisites Prerequisite: Mathematics 104.
Synopsis of course content
Mathematics 105 is a course in vector calculus that uses linear algebra. Topics to be covered include: iterated integrals and partial derivatives, optimization (constrained and unconstrained) in multiple dimensions, the Implicit Function Theorem, cylindrical and spherical coordinate systems, vector fields, divergence and curl, parameterized curves and surfaces, arc length and surface area, and Green's, Stokes's, and Gauss's Theorems.
Mathematics 104 is a prerequisite for this course. Prospective mathematics majors are encouraged to take Mathematics 104 followed by Mathematics 105 instead of Mathematics 103 followed by Mathematics 104. The 104/105 sequence will be accepted in lieu of the 103/104 sequence for the mathematics major.
Textbooks
Vector Calculus, 5th edition, J. E. Marsden and A. J. Tromba, W. H. Freeman and Company, New York
Assignments
There will be daily assignments.
Exams
There will be short weekly quizzes, two class-length midterms, and a final.
Term Papers
No term paper!
Grade to be based on
The homework and quizzes together will be 1/5 of your grade, each midterm is another 1/5, and the final is 2/5.
