Instructor M. Keel 
Email: keel@math.umn.edu
| Office | Vincent 222 |
| Office Hours | M,W 12 - 1 |
Course Description: This is the Spring term of the honors sequence for the second year Calculus syllabus here at the University of Minnesota. Our topics will include critical points for multivariable functions, Lagrange multipliers, volumes and determinants, integration and iterated integrals, Fubini's theorem, forms, integration on manifolds, exterior derivatives, the generalized Stoke's theorem.
Text: Vector Caculus, Linear Algebra, and Differential Forms (Second Edition), by J. Hubbard and B. Hubbard. We will follow the topics in this text relatively closely, though our treatment of some topics will come from other sources.
There are other texts which will help for much of the material that we cover and these texts are on reserve in the math library (third floor of Vincent Hall - entrance off the south stairwell.). Students are encouraged to consult these texts for alternative treatments of the material we cover.
Homework: There will be a homework assigned approximately every week - we will aim to assign them each Tuesday, and they will be due the next Tuesday at the start of the discussion section. Late homework will not be accepted.
You are encouraged to work together on the homework, but all solutions must be written in your own words - and you are expected to understand any argument you present in your solutions.
We will drop your lowest homework score before computing your grades. (For example, if you miss one homework you will receive a "0" that week, but it will not affect your final grade as one score gets dropped.)
Exams and Grading: There will be two midterm exams and a final exam, both of which will be closed book, closed notes, and administered in a classroom.
Course grades will, to first approximation, be computed as follows: the midterms will in total contribute 35% of the final grade, the final exam contributes 35% of the final grade, and the homework contributes 30% of the final grade.