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MATH
4210/6210: REAL ANALYSIS, FALL 2010
Section
A: MW 10:50--12:05
(Goodwyn 222), Course ID (CRN
#): 2124/2125
INSTRUCTOR
Yi Wang, Ph.D., Associate
Professor
Auburn University
Montgomery
Department of Mathematics
School of
Sciences
Room
310T, Goodwyn Hall
Email:
ywang2@aum.edu
Homepage: http://sciences.aum.edu/~ywang
Phone:
334.244.3318
Office Hours: MW:9:25--10:40am,
or by appointment.
PREREQUISITES:
MATH 1620 ( Calculus II ) .
TEXT:
R. G. Bartle and D. R. Sherbert,
Introduction to Real Analysis, 3rd Ed.,
2000, Wiley, ISBN: 0-471-32148-6.
CALCULATORS:
All students are required to have a graphing
calculator; the TI-83 (TI-84) is
recommended. Calculators with a CAS
are not admissible. Please bring the
calculator to all class meetings and exams.
COURSE
DESCRIPTION:
The least upper bound axiom and order
properties of the real line; sequences,
series; continuous functions; fixed point
theory. Emphasis is on the development of
proofs by students.
COURSE
OBJECTIVES:
We will presumably cover the
following sections of this book:
Chapters 1--6.
 :
This course will use BlackBoard
http://bb.aum.edu.
Syllabus, 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 10/27/2010.
EXAMS: There will
be one in-class mid-term test and one final.
The final exam is comprehensive and
is scheduled on Mon, Dec. 13, 2010, at
10:45--1:15am.
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 or make appropriate scaling 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 |
27 |
26 |
25 |
24 |
23 |
22 |
21 |
20 |
19 |
<19 |
|
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.
- 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
4210/6210: Real Analysis Fall 2010
Office Hours: MW:
9:25--10:40am; or 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
|
1.
08/16: 1.1
2. 08/18: 1.2.
Homework:
(self-studying) Appendix A: Logic
and Proofs
1.1:
1,3(a),7,12,13,18,19.
1.2: 1,2,6,11,13,14,20. |
Week 2
|
3.
08/23: 1.3
4. 08/25 2.1
Project I
Homework:
1.3: 1,2(b),5,7,9,10.
2.1: 1 (a,b), 2(a,b),
3(a,b),6,13,16(a,b),20,23. |
Week 3
|
5.
08/30: 2.2
6. 09/01: 2.3
Homework:
2.2:
1,4,5,6(a,b),9,12(a,b),15.
2.3: 1,2,5,6,8,9,11,12. |
Week 4
|
09/06: Labor Day
Holiday – No Classes
7. 09/08:
Section: 2.4
Homework: 2.4:
1,2,4(b),6,7,9,12,13,14 |
Week 5
|
8.
09/13: 2.5.
9. 09/15: 3.1
- Project II
- Homework:
2.5: 3,4,5,6,7,8,10,11.
3.1: 1,2(a,c),
3(b,d),5(b,d),6(a,c),8,10,13,14,15.
|
Week 6
|
10.
09/20: 3.2
11. 09/22: 3.3
Homework:
3.2:1,3,5,7,9,10,11,12,13.
3.3: 1,2,4,5,7,9,10.
|
Week 7
|
12. 09/27: 3.4
13. 09/29: 3.5
- Homework:
3.4: 1,2,3,5,6,9,12.
3.5: 1,2,3,5,7,9,10.
|
Week 8
|
14: 10/4: 3.6
15: 10/6: 3.7
- Homework:
3.6:1,2,3,5,8,9.
3.7: 1,2,3(a,b),3,
7,9,12,13,14(a,b).
- Project III
|
Week 9
|
16:
10/11: 4.1
17: 10/13: 4.2
- Homework:
4.1:
1,3,6,8,9,10(b,d),11(a,c),14.
4.2: 1,2,4,5,9,11,12.
|
Week 10
Midterm Test
|
18: 10/18: Review for Test 1 on
Monday
19: 10/20: Test 1 (chapters
1--3, 4.1--4.2 ) on Wednesday |
Week 11
|
20:
10/25: Sections 4.3
21: 10/27: 4.3
- LAST DAY
TO DROP/RESIGN FULL TERM
CLASSES: Wednesday
10/27/2010.
- Project IV
- Homework:
4.3:
2,3,4,5(a,c,e,g),8,9.
|
Week 12
|
22:
11/1: 5.1
23: 11/3: 5.2
- Homework:
5.1:
1,3,4(a,b),5,7,11,12,13.
5.2: 1,3,5,6,10,12,13.
|
Week 13
|
24: 11/8: 5.3
25: 11/10: 5.4
- Homework:
5.3: 1,3,5,6,7,8,10,13,15.
5.4:
1,2,3,6,7,8,11,12,17.
|
Week 14
|
26: 11/15: 5.5
27: 11/17: 5.6
- Project V
- Homework:
5.5: 1,2,4,6,7,9.
5.6: 1,2,4,5,7,10,12.
|
Week 15
|
-
Thanksgiving Holiday, no class
THIS WEEK.
|
Week 16
|
28: 11/29: Section 6.1
29: 12/01: 6.2
- Homework:
6.1:
1(a,b),2,4,5,9,11,13,15.
6.2:
2(a,b),3(a,b),6,7,9,10,12,13,17.
|
Week 17
|
30.
12/06 : Sections 6.3, 6.4
- Homework:
6.3:
1,2,4,6(a,b),7(a,b),8(a,b),9)a,b),12.
6.4:
1,2,4,5,7,8,12,14(a,b),19,20,23.
- Project VI
- Last day
of class:
Mon., Dec. 06, 2010
for Monday/Wednesday classes.
Tuesday, Dec. 07 for
Tuesday/Thursday classes.
- Final week
begins on Thursday
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Week 18 |
- Final week
- Final time:
Monday,
Dec. 13, 2010, at 10:45--1:15pm
- GOOD LUCK ON
THE FINAL AND HAVE A GREAT
CHRISTMAS!!!
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Last updated:
08/10/2010
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