Math H53 : Honors multivariable calculus, Fall 2015
The aim
of this course is to extend calculus from single variables to multiple
variables. In single variable calculus, you must have studied functions defined on
some interval of the real number-line. In this course, the functions
will be defined on curves in two or three
dimensions (for example conic sections or helixes), surfaces in
three dimensions (for example spheres or ellipsoids), and regions in
two or three dimensions. Exactly analogous to single variable calculus, we will then
develope the theories of differential and integral calculus for such
functions. The corwing glory of the course will be the various generalizations
of the fundamental theorem of calculus, namely Green's
theorem, Stokes' theorem, and the divergence theorem.
Assignments
Assignment-1 (due 09/09/15)
Assignment-2 (due 09/14/15)
Assignment-3 (due 09/30/15)
Assignment-4 (due 10/07/15)
Assignment-5 (due 10/14/15)
Assignment-6 (due 10/21/15)
Assignment-7 (due 10/28/15)
Assignment-8 (due 11/11/15)
Assignment-9 (due 11/18/15)
Assignment-10 (due 12/02/15)
Assignment-11 (due 12/09/15)
Announcements
Practice problems for first mid-term
Here is the first midterm and the solutions
Practice problems for the second mid-term
Here is the second midterm and the solutions
Practice problems for the final exam
Last modified: Mon Dec 7 10:53:09 PST 2015