Math 140A
Foundations of Analysis
Fall 1998
This course may be thought of as a deeper look at the theory of functions of a
single real variable, a topic with which you are already familiar.
However, the approach taken here will be less computational, with a far
greater emphasis on proof and on gaining a better understanding of
the basic principles. In addition, you will be expected to do a certain amount
of mathematical writing, in your homework assignments and on your exam papers.
As a ''warmup'' we'll look at the real number system from an axiomatic point
of view. The main topics to be discussed this term revolve around issues of
convergence: limits, continuity, and the basics of metric spaces. We'll also
cover differentiation of real functions.
 Instructor: P. Fitzsimmons (pfitz@euclid.ucsd.edu)
 AP&M' 5715, phone 5342898
 Office Hours: MWF 10:3011:30 am and 1:302:30 pm, or by appointment.
 Teaching Assistant: J. Lee (jlee@math.ucsd.edu)
 Text: W. Rudin, Principles of Mathematical
Analysis (Third Edition), McGrawHill, 1976.
(I plan to cover most of the topics found in chapters 15
of the text.)

There will be two
midterm exams (in the fourth and eighth weeks) and a final exam, with the following weights:
 Midterm #1: 20%
 Midterm #2: 20%
 Final: 35%
 In addition, there will be weekly homework
assignments, which will account for the remaining 25% of your grade.
The +/ system will be used
for letter grades.
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September 1, 1998; updated September 24, 1998