Math 396 - HONORS ANALYSIS II - WINTER 2013
Time and Place: 1-2 pm MWF in EH 3866 and Tu in EH 4096
Instructor: Ralf Spatzier, 5850 East
Hall, 763-2192, spatzier@umich.edu
Office Hours: TBA
or by appointment
Assistant: Nicholas Triantafillou
Optional Texts: "Analysis on Manifolds" by Munkres, Westview Press
:
"A comprehensive introduction to differential geometry", by Spivak, Publish or Perish 3. ed. 1999
Prerequisites: MATH 295, 296,395 or equivalent.
Course Outline: Math 396 is part of the math honors sequence Math 295-396 which
offers a thorough preparation for any upper level and even beginning graduate
course in mathematics and other areas that use mathematics (in particular
the sciences and engineering). In this fourth course in the sequence, we
will develop calculus on manifolds and related topics with rigor and clarity, emphasize the concepts and
at the same time enrich the basic material by drawing on examples and applications
from other areas of mathematics.
IBL Modules: As an integral part of the course, we will discuss related topics via group discussion of handouts every Tuesday. You will be responsible for writing up solutions of the handout problems after they have been discussed in class. They will be graded.
Attendance is mandatory, and unexcused absences will lead to a lower grade.
Discussion Session : These will treat the course material in more detail and depth, and offer some more breadth by adding some additional topics.
Grading Policy: homework 40%;
handouts and discussion 30%, midterm 15%; final exam 15%;
Homework Policy: Homework will be assigned
weekly and collected on Wednesday. You are encouraged to discuss the homework problems with
other students, but you have to write up the solutions on your own.
Homeworks and Handouts:You can download the homework assignments below
as postscript or pdf (Adobe Acrobat) files:
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