Instructor: Saikat Mazumdar
Email: saikat@math.ubc.ca
Lectures:
Mon, Wed: 10:30-12:30; Tue, Thu: 12:30-14:00 Mathematics
Annex
1100
Office Hours: Mon, Wed: 13:00-14:00 in LSK 300
Midterm 1 | July 20, 50 mins, in class |
Midterm 2 | August 3, 50 mins, in class |
Final exam | August 15, 12:00 pm, IBLC 182 |
Vector
valued functions of one variable: parameterized
curves, velocity, acceleration, arc length. Includes
curvature, normal and binormal vectors, tangential and
normal components of acceleration.
Vector valued functions of several variables: vector fields, line integrals, conservative fields, fundamental theorem of line integrals, Green's theorem, gradient, curl, divergence, parameterized surfaces, surface area, surface integrals, Stoke's theorem, divergence theorem.
Whitman:
primarily chapter
13 and
chapter 16
Strang: primarily chapter 12 and chapter 15
This is a somewhat more advanced text on the same subject.
This is for ambitious students who want to see more of the deep connections between vector calculus and topology. It is written in the language of this course (vector fields, divergence, grad, curl....) but in a more mathematically sophisticated way.
In
addition to these, any standard textbook in multivariable
calculus will also serve as a reference for most of the
topics in this course.
Final Exam | 50% |
Midterm 1 | 15% |
Midterm 2 | 15% |
Homework | 20% |
OR
Final Exam -10 |
The
second option is your safety net : even if you
perform very badly on the midterms, you can still get a
good grade by doing well on the final.
Your homework should be written up neatly. If you use more than one piece of paper, they must be stapled together.
Homework assignments are to be handed in at the beginning of classes. Late homework will not be accepted.
At the end of the term, your lowest two homework grades will be dropped.
Learning expectations for the final exam.
Practice final exams.
Notes,
calculators, cell phones and other electronic devices
are not not allowed in the exams.
A score of zero will be given for the missed midterm/homework.
If you are unable to attend one of the midterms, you must notify with a legitimate reason or provide professional documentation of any medical emergency. In either of these two cases your other midterm and final exam grade will be scaled accordingly. Undocumented absences from midterms will result in a score of zero.
Regrading: Please indicate which problems you would like to have regraded and why on a sticky note/stapled piece of paper attached to the homework or midterm in question.
For
a full description of the final exam regulations, see
the
UBC calendar page on Student
Conduct During Examinations. The same regulations
apply for the midterms.