The Basics
| Required Textbook:
|
Introduction to Real Analysis
by William F. Trench.
Free legal download available at:
http://www.math.sc.edu/~girardi/book/TRENCH_REAL_ANALYSIS.PDF
Reproduction is permitted for any valid noncommercial educational,
mathematical, or scientific purpose.
|
| Course Homepage:
|
http://www.math.sc.edu/~girardi/w555.html
|
| Prereq.:
|
A grade of C or better in Math 554
or concent of the department.
Honors: special permission required.
|
| Note:
| Bring your textbook and all handouts to each class meeting.
|
Class Meeting Info
|
T/Th
12:30pm - 1:45pm
in LC 310
|
Students are expected to attend the entire
class meeting:
late arrivals and early departures will not be tolerated.
The
USC Undergraduate Bulletin
states that:
Students are obligated to complete
all assigned work promptly,
to attend class regularly,
and to participate in
whatever class discussion may occur.
Absence from more than 10 percent of the scheduled class sessions, whether excused or unexcused,
is excessive and the instructor may choose to exact a
grade penalty for such absences.
On those rare occasions that you must miss class,
in the black filing cabinet outside
my office door
you can find:
assignments not picked up in class and
extra copies of the class handouts.
|
Instructor Info
|
| Office
| Office Hours
|
Prof. Girardi
semester schedule
girardi@math.sc.edu
|
LeConte 309C
777-5237
| Thursdays 2:15 pm - 3:00 pm
in LC 309C
|
A note from Prof. Girardi about her office hours:
-
I am also available any time that my office door is cracked open
(if my door is closed, please do not disturb).
-
MWF are my mathematical research days.
Please try to respect this to the best that your schedule allows.
Thank you.
-
If I am not in my office during office hours,
please wait for I should return shortly.
(I'm most likely running a quick errand somewhere around LC.)
|
Course Description / Material Covered
Selected topics from Chapters 1 through 8 of the textbook.
Class Preparation
Before each class,
read the next section(s)-to-be-covered in your textbook,
even if I forget to remind you.
I will assume that you have read the material
and thus will hightlight/clarify the material,
ask you if you have questions, and then do more examples.
If in doubt of the next reading assignment,
just ask at the end of class.
Homework
The homework will consist of mostly proofs.
As with all proofs, your proofs must be
clear and logical. Please keep in mind that
they are graded so: leave some space for my
(sometimes lengthy) comments,
be sure I can find things, and do not
run a problem from the front to the back of
a sheet of paper.
Blue Book Paper for writting up homework is
available at
http://www.math.sc.edu/~girardi/ExamPaper.pdf.
Legibility is required.
Thanks.
Collaboration
One of the goals of this course is to learn how to communicate
mathematical ideas; thus, you
are strongly encouraged to work together on your homework.
By all means, form study groups to discuss the homework problems
(but give them a fair shot first before you meet with the others)
and study for the exams.
The math undergraduate student lounge
(LC 311) is a good place to hold your meetings;
it has
large tables, lots of chairs,
lots of math textbooks, and a big chalkboard.
The Student Contact Information sheet should
facilitate contacting eachother.
The work that you submit must be your own.
Remember, you
will have to take the exams individually so do not become too dependent
upon one another.
According to the
USC Student Handbook code of
student academic responsibility, the first law of academic life is
intellectual honesty. This is expected of all of you. If you
ever have any uncertainty about the ground rules, ask
Prof. Girardi for
clarification.
Homework Policies
-
The work that you submit must be your own.
-
Late homework is not accepted.
-
Usually, each homework problem (not set) is worth 10 points.
The
USC Undergraduate Bulletin
states that:
"Absence from more than 10 percent of the scheduled
class sessions, whether excused or unexcused,
is excessive and the instructor may choose to
exact a grade penalty for such absences".
Thus the lowest (approx./at least) 10% of
your homework scores will be dropped.
-
Once you leave the classroom with graded work
(or, if you miss class, once an assigment is put
into the class filing cabinet),
you cannot ask questions on the grading of it.
Project
Each student must present a project on some Real Analysis topic.
See me for a topic.
Your presentation of your project should be about 30 minutes long.
You must provide the other students a detailed write-up
of your project. Projects will be presented:
in class, at the final exam time, and/or
some weekend day when we have a proseminar.
Students must attend the other student's projects.
Evaluation
Your goal is to gain a working knowledge
of the material;
you have some personal freedom in this pursuit.
By the end of the semester,
demonstrate that you have mastered
the material and your grade
will be agreeable.
With this in mind,
your final course grade
will (tentatively) be based on your
highest percentage in the below schemes.
| |
scheme 1 |
scheme 2 |
| homework |
60 % | 40 % |
| project |
40 % | 60 % |
| Total |
100 % | 100 % |
The baseline score is indicated below
(these thresholds may be lowered later if appropriate).
|
A | B | C | D | F
|
| 90 - 100 %
| 80 - 89 %
| 70 - 79 %
| 60 - 69 %
| below 60 %
|
Students taking this course
as Math 704i are required to complete additional work
and are evaluated on a more rigorous basis than the
students taking the course as Math 555.
Math 704i students must speak with Prof. Girardi
for further details the first week of classes.
Dates
| Mon | 11 | Jan |
Classes begin
|
| Fri | 15 | Jan |
Last day to change a course schedule
or drop without a W
|
| Mon | 18 | Jan |
No classes - Martin Luther King Service Day
|
| Mon | 22 | Feb |
Last day to drop without a WF
|
| Sun - Sun | 7-14 | March | No classes - Spring Break |
| Th | 15 | April |
Awards Day |
| Mon | 26 | April |
Last day of classes
|
| Tue | 27 | April |
Reading Day
|
| Wed | 28 | April |
Final Exam at 2pm in LC 310
|
Learning Outcomes: for learning to come out.
Findable from
URL: http://www.math.sc.edu/~girardi/w555.html/