MATH 4220/6220: REAL
ANALYSIS II, SPRING 2010
Section A: MW
7:40--8:55pm (Goodwyn 218),
Course ID (CRN #): 2909/2910
INSTRUCTOR
Yi Wang, Ph.D., Assistant Professor
Auburn University Montgomery
Department of
Mathematics
College of Sciences
Room 310T, Goodwyn
Hall
Email:
ywang2@aum.edu
Homepage: http://sciences.aum.edu/~ywang
Phone: 334.244.3318
Office Hours: MW
7:20--7:40p, 8:55--9:30p or M--F 9:00-10:00am by appointment.
PREREQUISITES:
MATH 4210 ( Real Analysis I ) .
TEXT:
R. G. Bartle and D. R. Sherbert, Introduction to Real
Analysis, 3rd Ed., 2000, Wiley, ISBN: 0-471-32148-6.

COURSE DESCRIPTION:
continuous functions; differentiability, Riemann
integrals, sequences of real numbers and sequences of
functions, series,; Emphasis is on the development of proofs
by students.
COURSE OBJECTIVES:
We will cover most sections of the following
chapters of this book:
Chapters 5--11.
:
This course will use BlackBoard
http://bb.aum.edu.
Syllabus, Lecture notes, Class announcements, homework
assignments, weekly schedule and updated grades will be
posted on BlackBoard. It is the students’
responsibility to check the information posted at
BlackBoard. I will also post from time to time some
studying resources such as old exams on BlackBoard.
HOMEWORK/QUIZZES/WORKSHEETS:
It is imperative that you do the homework. If you
have trouble with the assigned problems (or any others in
your book) then see me ASAP. Please work as many problems as
you can (even beyond the assigned list if possible). The
bottom line is that if you want to learn some mathematics,
the only way to do this is by “getting your hands dirty”
working problems. The collected
Homework/Quizzes/worksheets will be averaged for part of
your final grade. Sometimes in-class Quiz will be given
without notice in advance. All projects and homework
problems are highly recommended to be completed using the
standard mathematics editing package LATEX. For
information on installing free Latex package and related
topics, visit for example
http://sciences.aum.edu/~mragland/teaching/4950/.
LAST DAY TO
DROP/RESIGN FULL TERM CLASSES: Wednesday 03/24/2009.
EXAMS:
There will be one in-class mid-term test and one final.
The final exam is comprehensive and is scheduled
on Wed, May. 12, 2010, at 7:45-10:15pm.
Being absent from the Final Exam results in a
grade of FA . You must prove to the instructor’s
satisfaction that your absence was unavoidable, in order to
take a makeup Final Exam.
GRADES:
Here is a breakdown of the
Homework/quizzes/worksheets/tests/final:
Projects…........50%
Test 1…………20%
Final………..…20%
Attendance......10%
If you get the following percentage you will receive
90-100………A
80-89………..B
70-79………..C
60-69………..D
Grades in the
course will reflect students’ demonstrated attainment of
course objectives. I reserve
the right to adjust these ranges downward if necessary
because of excessive difficulty of assignments or tests.
Borderline cases will be considered according to the
attendance, grades of all three mid-exams and grade of the
final.
STUDYING RESOURCES:
-
There are 30 class meetings (each of 75 minutes for
lecture), plus the final exam period.
-
FREE TUTORING HELP:
Students can go to the Learning Center, 325 Moore Hall,
244-3470, for free tutoring help for this course by
appointment. Additional tutoring services
are available in the Instructional Support Lab, 203
Goodwyn Hall, 244-3265.
SOME IMPORTANT
POLICIES IN THIS CLASS:
-
ATTENDANCE
is critical for this class. I will take attendance at
every class. A perfect attendance is equivalent to
10% of the overall score at the end of the
semester (see the breakdown of the grades). The
attendance is absolute regardless of any excuse
whatsoever, that is only physical attendance is counted.
Leaving the class earlier without the permission of the
instructor is considered as an absence. The attendance
record will also be used as one of the factors to
determine borderline grades.
Attendance credit scale:
# of Attendance |
30 |
29 |
28 |
27 |
26 |
25 |
24 |
23 |
22 |
21-20 |
<20 |
credit % |
10 |
9 |
8 |
7 |
6 |
5 |
4 |
3 |
2 |
1 |
0 |
|
-
There is
absolutely no make-up for the
homework/quizzes/worksheets. Late work passing the
given deadline is not accepted.
-
Missing test/exam:
No make-up test/exam is allowed. A
missing test/exam receives a grade of zero. No exam
will be given earlier than the scheduled time.
-
A reasonable excuse
commonly refers to an institutional excuse, a
doctor-signed excuse, or an excuse signed by some
authorized people.
HOW TO SUCCEED THIS
COURSE?
In addition to my
effort, your efforts are indispensable.
(1) Except extreme
cases, attending class only is far less sufficient to
succeed (pass? ) the course. Let alone occasionally
attending class.
(2) To get a grade
C, one is advised to spend at least 1 hour (depending
on your background in mathematics) for each lecture hour in
reviewing the lecture notes, doing the examples in the
lecture notes and in the book, and doing some
homework problems.
(3) To get a grade B,
one is advised to spend at least 1-2 hours for
each lecture hour in reviewing the lecture notes, doing the
examples in the lecture notes and in the book, and doing
most of the homework problems.
(4) To get a grade A,
one is advised to spend at least 1-3 hours for
each lecture hour in reviewing the lecture notes, doing the
examples in the lecture notes and in the book, and doing
almost all the homework problems.
I would suggest you to
write down your objective grade for this course, and commit
your effort to this milestone of your life goal. Again, I
wish you succeed.
My objective grade
for this course is
. I will commit
hours for each lecture hour to study the course
materials.
GUIDELINES OF HOW TO
CALCULATE YOUR FINAL GRADE:
- The overall score
is calculated according to the contributions from
projects(50%), one mid-exam(20% each), one
final(20%), and attendance (10%).
- All raw scores are
converted to percentage to participate in calculating
and comparison. The maximum percentage is 100% for any
given quiz or exam.
- A quiz in this
syllabus refers to an on-line quiz, an in-class quiz, an
attendance-taken, a collected homework, or a collected
worksheet.
- Please note one to
three quizzes with the lowest grades may be dropped
contingently. A missed quiz is scored as 0 for
that quiz. Finally, the average percentage
of all the quizzes are calculated for the points of the
quiz part.
- The percentage of
the final is used to replace the worst percentage of the
three mid-exams if it’s higher.
APPEALS:
After final course grades have been submitted, you may
appeal your final grade. As a first step, you would make a
written appeal to the instructor of the course.
CLASS ATTENDANCE AND ENVIRONMENT:
Perfect or
near-perfect class attendance is important for
students to gain and demonstrate competency in course
concepts and skills. Students are expected to accept
responsibility for class attendance and to complete in-class
work assignments and examinations as scheduled by the
instructor.
Please be
courteous to your fellow students and the instructor at
all times. For example, do not converse with other students,
read the newspaper, or sleep during the lecture. Do not
pack up earlier than scheduled dismissing time.
Cell phones
have to be set to silent (or preferably be turned off). If
you have to answer a cell phone call during class, please
quietly leave the classroom and move to a location where
your conversation does not disrupt any class in progress.
Children
should not be brought to class, except in emergency
circumstances and only with the permission of the
instructor.
Food, drinks, or
gum should not be brought into the classroom.
AUM prohibits
smoking in campus buildings. If you smoke, you may only
do so outside the buildings.
PLAGIARISM:
Plagiarism or cheating of any kind will not
be tolerated. You can discuss solutions with classmates, but
cannot copy (totally or partially) someone else’s solution
or allow someone else to copy your solution. You will
receive an ”F” in the course if you are caught.
DISCIPLINE AND
ACADEMIC HONESTY.
The policies of the Student Discipline Code apply. You are
advised to familiarize yourself with these policies, which
can be found in the current edition of the AUMANAC.
Please,
adhere to the standards of academic integrity stated in the
AUM Catalog.
SPECIAL
SERVICES.
It is the policy of Auburn University Montgomery to
accommodate individuals with disabilities pursuant to
federal law and the University’s commitment to equal
educational opportunities. It is the responsibility of the
student to inform the instructor of any necessary
accommodations at the beginning of the course. If you
qualify for this service, please contact either the AUM’s
Center for Disability Services (CDS) located in Library
Tower, Room 706 (Phone: 334-244-3631, Fax:334-244-3907, TDD:
344-244-3754, email: cds@mail.aum.edu) or me for the
corresponding referral.
COPYRIGHT NOTICE
Material presented in
this course may be protected by copyright law.
Weekly Schedule for Math 4220/6220: Real
Analysis II--Fall 2010
Office Hours: MW
7:20--7:40p, 8:55--9:30p or M--F 9:00-10:00am by appointment.
Note: This is only a guide as how the course should
proceed. Changes might occur.
Section with an asterisk (*) is optional.
Week 1
01/11-01/15 |
|
Week 2
01/18-01/22 |
- Class:
Sections: 6.1
- 01/18--19,
Monday-Tuesday:
Martin Luther King
Jr. Holiday – No Classes, Offices
Closed.
|
Week 3
01/25-01/29 |
|
Week 4
02/01-02/05 |
- Class:
Section 6.4, Inverse Function
Theorems
|
Week 5
02/08-02/12 |
|
Week 6
02/15-02/19 |
|
Week 7
02/22-02/26 |
|
Week 8
03/01-03/05
|
- Class:
Section 10.3--10.4
|
Week 9
Midterm exam
03/08-03/12 |
- Class:
Functions of Bounded variation,
convex functions
- Midterm
test on Wednesday
|
Week 10
03/15-03/19 |
|
Week 11
03/22-03/26
|
- Last day to
drop/resign classes: Wed., 03/24
- Class:
9.1--9.2
|
Week 12
03/29-04/02 |
|
Week 13
04/05-04/09 |
- Class:
Other topics of series
|
Week 14
04/12-04/16 |
|
Week 15
04/19-04/23
|
|
Week 16
04/26-04/30 |
11.1--11.3
|
Week 17
05/03-05/07 |
- 11.4
- Last day of
class: Monday May 3rd for
Monday/Wednesday classes.
|
Week 18
05/10-05/14 |
- Final time:
Wednesday,
May 12, 2010, at 7:45-10:15pm
- GOOD LUCK ON THE
FINAL AND HAVE A GREAT SUMMER!!!
|
|
Last updated:
08/10/2010