Math 4111 Fall 2016
| Section |
Time |
Location |
Instructor |
email |
Office Hours |
| FL2016 L24 Math 4111 Introduction to Analysis |
M-W-F-- 10:00A-11:00A |
Crow 204 |
B. Blank |
brian@math.wustl.edu
|
Cupples I 224
MW 1:30PM-2:30PM
F 11:10AM-12:00AM |
|
Please include [M318] in the subject line of any email
message that pertains to this course. Including [M318] in the subject line
will help avoid accidental deletion of your still unread message.
|
There are two components to grading: exams and (more or less) weekly homework.
There will be two in-class exams during the semester. There will also be a final.
| Exam |
Date |
Location |
Time |
| First Midterm |
Wednesday, September 28 |
Crow 204 |
10:00A-11:00A |
| Second Midterm |
Wednesday, November 2 |
Crow 204 |
10:00A-11:00A |
| Final Exam |
Monday, Dec 19 2016 |
Crow 204 |
10:30AM - 12:30PM |
Each midterm exam counts for 22% of the overall grade. The
final exam counts for 44%. Homework counts for the remaining 12%.
The distribution of letter grades will be close to the average
of the distributions of the preceding three years.
Attendance at each of the two midterm exams and at the final exam is expected.
For the midterm exams, there will be no distinction between excused absences and unexcused absences.
If you are not present for one midterm exam, your score on the final exam will count for 66% of your grade.
In other words, your final exam score will have normal weight as a final exam score, and it will also
substitute for the missing exam score.
Absences on both midterm exams requires a discussion. The most likely outcome of that discussion would be a
recommended withdrawl from the course.
Similarly, an absence on the final exam requires a discussion. If the absence is not excused, then
the grade assigned for the final exam will be 0. If the absence is excused, then the most likely
outcome of the discussion will be an incomplete for the course and a specification of how
the course work is to be completed.
By registering in this course and not withdrawing in a timely fashion, you agree
to take the final exam on the date and at the time stated above.
There is no textbook to purchase. For basics, the following textbook can be downloaded
Basic Analysis , by Jiri Lebl.
Readings will also be assigned from
Real analysis, Carothers, N. L.. Cambridge University Press, 2000
A Course in Mathematical Analysis, D. J. H. Garling, Cambridge University Press, 2013
Real Analysis and Applications, Theory in Practice, Davidson, Kenneth R., Springer, 2009
These textbooks are ebooks that can be read, and in some cases downloaded, for free by
accessing them through the Washington University Library Catalog. The full-text access link
can be found by searching by Author or Title. They also show up by searching by the Words "Real Analysis". The last approach turns up
many related books, the majority not being suitable as a 4111 course textbook (no matter how good they might be for what they do).
From Course listings: The real number system and the least upper bound property; metric spaces (completeness, compactness, and connectedness); continuous functions (in R^n; on compact spaces; on connected spaces); C(X) (pointwise and uniform convergence; Weierstrass approximation theorem); differentiation (mean value theorem; Taylor's theorem); the contraction mapping theorem; the inverse and implicit function theorems. Prerequisite: Math 310 or permission of instructor.
Several homework sets will be assigned. Each will have a time by which the
homework is due. For logistical reasons, that time will not be changed for any
reason. Whatever you have done on the homework set, turn it in by the stated due time.
You may discuss homeowrk problems with others, but the write-up you turn in must be your own.
Brian E. Blank
Department of Mathematics
Washington University in St. Louis
1 Brookings Drive
St. Louis, MO 63130
Phone: (314) - 935 - 6763
Fax: (314) - 935 - 6839
e-mail: brian@math.wustl.edu
Last Updated: 26 August 2016
