This course develops the theory of exterior differential forms and integration on smooth manifolds. The course aims at the general version of the fundamental theorem of calculus (Green's theorem, Gauss's theorem, the Divergence Theorem and Stokes's theorem).

**
Tentative Course Schedule:**

- First homewok due Thursday, 6 February. (Chapter 2: Problems 6,11,18,20,35-36,41
- Second homewok (Chapter 3, Problems 3,6-10,14,27-28,34) due Tuesday, 18 February.
- Third homewok (Chapter 4, Problems 1,2,3,7,8) due Tuesday, 25 February.
- Fourth homewok (Chapter 4, Problems 12,17,24,28,30,32) due Tuesday, 4 March.
- Fifth homewok (Chapter 5, Problems 4, 6, 12, 15, 16) due Tuesday, 11 March. li> First midterm, Thursday, 13 March.
- Sixth homework (Chapter 6, Problems 2,4,7,12,14, 19), due Tuesday, 1 April
- Seventh homework (Chapter 6, Problems 22,20, 23, 26, 29, 30), due Tuesday, 8 April
- Eighth homework (Chapter 7, Problems 1,3,6,7,8), due Tuesday, April 22
- Ninth homework (Chapter 7, Problems 14,15,16, Chapter 8, Problems 1,2,3 due Thursday, May 1
- Second Midterm, Thursday, 1 May
- Handout on Derivations and Interior Multiplication, due Whenever

** Grading:**
The course grade will be determined by
homework (40 %), two in-class midterm exams (30 %)
a final problem set (20%), and class participation (10 %).
Attendance of the lectures is strongly recommended,
since there will be material covered in class which may not be in the textbook.

** Written Absence Policy:**
If for some reason you are unable to attend the in-class exams,
make arrangements with the instructor before the exam date.

**
Academic Integrity
**
You may collaborate on homework assignments, but on neither
quizzes nor exams. Please be prepared to show photo ID for
midterms and final (there have been unfortunate cases of dishonesty
in the past).
For general information on the Honor Code,
please consult http://www.shc.umd.edu/code.html.

**
Religious observances:
**
If your religion dictates that you cannot take
an exam or hand in assigned work on a particular date, then contact
the instructor at the beginning of the semester to discuss alternatives.

**
Disabilities:
**
If you have some disability related to testing under the
usual timed, in-class conditions, you may contact the office of
Disabled Students Services (DSS) in Shoemaker. If they assess you as
meriting private conditions and/or extra time, then you may arrange to
take your tests at DSS, with extra time as they indicate. You must
arrange this well in advance of a test (in particular: no
retakes). Click to Disability Support Services for further
information.

**
Course Evaluations:
**
Your participation in the evaluation of courses through CourseEvalUM
is a responsibility you hold as a student member of our academic
community. Your feedback is confidential and important to the
improvement of teaching and learning at the University as well as to
the tenure and promotion process.
By completing all of your evaluations each semester, you
will have the privilege of accessing the summary reports for thousands
of courses online at Testudo.