Math 512: Modern Analysis I
Spring 2004
- Instructor: L. Peterson
- Section information:
Section 1, call number 57983, 10:00-10:50 A.M., MWF, Witmer 309
- Prerequisites: Math 432
- Office: 322 Witmer Hall. You
may leave messages for me in the Math Office, Room 313 Witmer Hall.
- Office hours: Feel free to
drop in anytime during normal business hours. If I am available and
not overly busy, then I can meet with you. I will announce my
formal office hours in class and post them on my Web site. Please
fill in the information below.
- Mondays:
- Tuesdays:
- Wednesdays:
- Thursdays:
- Fridays:
These office hours do not apply during university
recesses and holidays, on Reading and Review Day (May 7, 2004), or
during final exam week.
- Phone numbers: 777-4609
(office), 795-8984 (home), 777-2881 (Mathematics office)
- E-mail address:
lawrence.peterson@und.nodak.edu
- URL for Web site:
http://www.und.nodak.edu/instruct/lapeters.
- Textbook: Real
Analysis, Third Edition, by H.L. Royden (Pearson Education, 1988).
- Course content: This course is
the first course of our two-semester course in modern analysis.
During the first semester we will cover as much of Part One of
Royden as possible. We will also cover portions of Chapter One.
The primary topic of the first semester will be Lebesgue measure and
integration. The main idea of this is to develop a more general
version of the integral that one studies in elementary calculus.
- Course objectives:
- To develop the ability to understand mathematical proofs and to
construct well-written proofs
- To give students some of the background in analysis that they
may need in order to do original mathematical research and to
conduct master's degree independent studies
- To provide some of the background in analysis that is necessary
for more advanced courses and studies
- To develop a better understanding of real analysis for its own
sake
- Grading:
- Midterm exams: 40%
- Final exam: 30%
- Homework: 30%
- Homework: Homework will be an
important part of the course. You may work together, but do not
copy another person's solutions. If you receive significant help
from another person, make a note of this fact on the paper you hand
in. If you are stuck, feel free to come to see me or to raise
questions in class. I hope to grade all of the problem solutions
that you hand in. Please hand in homework by 4:20 P.M. on the
announced due date.
- Problem solutions: A file
folder in the Mathematics Learning Center will contain solutions to
past homework problems. You may borrow them for a few minutes at a
time. A photocopier is available in Room 211, Witmer Hall.
- Exams: There will be two
midterm exams and one final exam. The midterm exams will occur in
class during regular class periods. The final exam will be
comprehensive with an emphasis on the material that we cover after
the second midterm.
- Final Exam: The final exam for
this course will occur from 8:00 A.M. to 10:00 A.M. on Monday, May
10, 2004, in the usual classroom.
- Nature of the course: In
lower-level mathematics courses, the instructor often teaches
specific problem-solving techniques that apply to many problems of a
particular type. The instructor then typically assigns homework
exercises which ask students to solve problems of this type by using
these techniques. For example, in a calculus course, the teacher
may cover certain differentiation rules and then assign problems
which ask the student to differentiate functions. For the most
part, Math 512 will not be like this. We will cover
theorems and ideas, and you will do homework problems involving
these theorems and ideas. But solutions to homework problems will
not necessarily follow the same pattern of any examples or proofs
that we have done in class.
- Comments and concerns: Let me
know if you have any comments about the class. If you need
accommodations in this course because of a disability, if you have
emergency medical information to share with me, or if you need
special arrangements in case the building must be evacuated, please
make an appointment with me as soon as possible.
Links
-
Lawrence J. Peterson home page
-
Mathematics Computer Lab home page
-
Department of Mathematics home page
-
University of North Dakota home page
Notes on Web Page
-
Contact Person: Larry Peterson
E-mail: lawrence.peterson@und.nodak.edu
Phone: (701) 777-4609
Date of most recent update: 11 January 2004
University of North Dakota home page