Math 451  Advanced Calculus  Fall 2000
Page Updated: 9/29/00
Time and Place:MWF 1112 am in EH 3088
Instructor: Ralf Spatzier, 5850 East
Hall, 7632192, spatzier@math.lsa.umich.edu
Office Hours: Fr 122 pm
or by appointment
Text: ``Elementary Analysis: The Theory of Calculus" by by Kenneth A. Ross,
Springer Verlag
Course Outline:This course will develop
calculus rigorously and introduce concepts and ideas
important in more advanced mathematics.
More specifically, we will discuss the following material:
basic logic, number systems, sequences and series, continuity, metric spaces,
derivatives and integrals.
This a theoretical course with emphasis on precise definitions and proofs both in the
lectures and the homework problems.
Grading Policy: homework 40%;
midterm 20% each; final exam 20%;
Homework Policy: Homework will be assigned
weekly and collected on Monday. You may discuss the homework problems with
other students, but you should write up the solutions on your own.
Homeworks :You can download the homework assignments below
as postscript or pdf (Adobe Acrobat) files:
