Prerequisites: Besides single-variable calculus,
we will be assuming some linear algebra. Math 221 is officially listed as a
prerequisite for 222, and it contains more than enough linear algebra for 222.
Students who haven't had 221 and who are willing to learn the necessary linear
algebra on their own should be able to manage in 222. The textbook begins with
brief coverage of basic linear algebra in sections 1.1-1.3. This will be reviewed
briefly in class as it is needed, but only as a review of what you are already
supposed to know.
Text: Marsden & Tromba, Vector Calculus, Fifth Edition. This book has been used for this course for at least 10 years. Some students like it, some students hate it, as one can see from the reviews on amazon. We are not going to be following it extremely closely, page by page, nor will we always be doing topics in the same order as in the book. Some students may wish to use it more as a reference, relying more on what happens in class (and of course the homework) for learning the material. There is also a Student Study Guide available, containing solutions to some of the problems and also some general comments about the material.
Syllabus and Course Schedule (follow the link). The course breaks up into three parts:
I. Multivariable Differentiation. (Chapters 2, 3 of the book)
II. Multivariable Integration. (Chapters 5, 6)
III. Vector Analysis, combining I and II. (Chapters 4, 7, 8)
This fits well with the exam schedule of two prelims and a final, as the first prelim will cover topic I and the second prelim will cover topic II. The final will be cumulative, but emphasizing topic III (which uses both I and II).
Office Hours for the lecturers and TA, also email addresses.
Grading: There are two prelims that count 25% each and a final exam that counts 40%. The remaining 10% will be based mostly on homework -- see below for more information about the homework.
Examinations: The two prelims will be on February 19 and March 27, 7:30-9:00 pm. The final exam is Friday May 9, 9:00-11:30 am. Calculators and books are not allowed at the exams. Students with special needs should contact their lecturers well in advance of the exams.
Homework: There will be problem sets due each week in your TA sections. Students may work alone or in groups on the homework, but the solutions you hand in should be your own write-up. The list of problems can be found on the Syllabus webpage. Solutions will be posted a few days after the problem sets are due.
Academic Integrity: Each student in this course is expected to abide by the Cornell University Code of Academic Integrity.
Extra Help is available in the Math Support Center.