Lectures are optional. Attendance will not be taken. Students are, however, responsible for any material or information presented in lectures which is not available from other sources. Moreover, there will be quizzes in class.
| Homework Assignments | 10% |
| 3 Exams | 20% each |
| 1 Final Exam | 30% |
The final exams are scheduled so that conflicts are
avoided. This does not mean that students cannot
have multiple exams on the same day.
No books, notes, or calculators are allowed on the exams. Nothing
more than a pen or pencil and some paper.
The goal of the course is to prove Stokes' Theorem about the integration of differential forms, at least for chains and, if times permits, for manifolds. Stokes' Theorem is a version of the Fundamental Theorem of Calculus.
In addition to the assigned homework, there will be will be quizzes in class checking whether you are up to date with the material presented in class. These quizzes will be counted as part of your homework. The problems on the exams will not necessarily be taken from the textbook, but you will have encountered problems similar to those on the tests before the test.
Homework must be neat and properly presented. If your handwriting is poor, use TeX or Maple or something else to present your work.
In your homework you can quote every exercise or theorem from the textbook that comes before the problem you are working on.
Every assignment is to be completed by you. You may work with others from the class on the material and you may consult other resources, but what you hand in for a grade must be your own work.