Syllabus
Real Analysis II
Math 555.401/555.501/704i.001
Spring 2008


The Basics

Required Textbook:     Introduction to Real Analysis, by Manfred Stoll. Second Edition. Addison-Wesley.
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

MWF   11:15am - 12:05pm   in LC 303B
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
Monday   12:15 pm - 12:45 pm
in LC 309C
A note from Prof. Girardi about her office hours:
  • Office Hours: as indicated above and by prior appointment
    or any time that my office door is cracked open
    (if my door is closed, please do not disturb).
  • Tuesdays and Thursdays is my mathematical research time.
    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 down the hall getting coffee).

Course Description / Material Covered

Selected topics from Chapters 1 through 10 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. 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-&-Exam Policies-&-Procedures

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 scheme 3 scheme 4 scheme 5 scheme 6
homework 50 % 50 % 30 % 20 % 30 % 20 %
hourly exams average 30 % 20 % 50 % 50 % 20 % 30 %
cumulative final exam 20 % 30 % 20 % 30 % 50 % 50 %
Total 100 % 100 % 100 % 100 % 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

Mon14Jan Classes begin
Fri18Jan Last day to change a course schedule or drop without a W
Mon21Jan No classes - Dr. Martin Luther King, Jr. Service Day
Mon25Feb Last day to drop without a WF
Sun-Sun9-16March No classes - Spring Break
Thur17April Awards Day
Mon28April Last day of classes
Tue29April Reading Day
Wed30April Cumulative Final Exam at 9am in LC 303B


Findable from URL:    http://www.math.sc.edu/~girardi/w555.html/