Math 311, Section 3
Spring 2005

Course Description
"Introduction to language and fundamental concepts of analysis. The
real numbers, sequences, limits, continuity, differentiation in one
variable." (Taken from the undergraduate catalog.)

Schedule
The schedule has a list of topics,
organized by week. The assigned homework and links to the workshops
will be added as the semester progresses.

Instructor
Name 
Office 
Email 
Phone 
Office Hours 
Saul Schleimer 
HLL207 
saulsch at dontinclude dot math dot rutgers dot edu 
7324451935 
Wed. 10:30 to 12 


Class meetings
Attendance will not be taken.

Paraphernalia
The text for this course, by Stephen Abbott, is titled Understanding
analysis.
Other references, available from the library, include Walter
Rudin's Principles of mathematical analysis and the truly
classic A course of pure mathematics by G.H. Hardy.
If you are looking for something more informal and much shorter then
perhaps Timothy
Gowers's notes will
interest you.
There are also a variety of online resources available: Wikipedia
is a collaborative encyclopedia. Mathworld is a reference
website hosted by Wolfram Research.
Note as well that much of the course material from a previous
section of 311 (Spring 2000) are available online.
Please remember that any material that you use from a book, the
web, or a classmate should be correctly cited (even if you rephrase).
If you are unsure what constitutes plagiarism please consult the
Rutgers Academic Integrity
Policy or come ask me.

Homework
See the schedule for homework
problems from the book. These are due at the beginning of each
Wednesday lecture. Late work will not be accepted for grading. Your
lowest homework score will be dropped.
Here are the average scores on the homework: please note that
these averages do not take into account zeros due to papers not turned
in or points added later due to mistakes made in grading.

1 
2 
3 
4 
5 
6 
Average/Possible 
8.5/12 
14.7/20 
18.9/25 
18.3/25 
13.9/20 
16.4/20 

7 
9 
10 
11 
12 
13 
Average/Possible 
16.8/25 
8.8/10 
14.4/15 
10.0/20 
17.8/25 
11.4/15 


Workshops
The workshops will be posted on the schedule. Workshops will concentrate on
finding and writing proofs. These will be collected at the
beginning of the following meeting. Late work will not be
accepted for grading. Every workshop writeup will be graded out of
ten points; five for mathematical correctness and five for
presentation. Your lowest workshop score will be dropped.
The writing of proofs is a major part of this course.
Recall that a proof is a "convincing argument." This assumes certain
properties of the reader: your target audience will be your
classmates.
Here are the average scores on the workshops: please note that
these averages do not take into account zeros due to papers not turned
in or points added later due to mistakes made in grading.

1 
2 
3 
4 
5 
6 
7 
redo 
8 
9 
10 
Average (out of 10) 
6.2 
7.1 
6.6 
7.7 
8.1 
5.6 
7.4 
8.7 
9.5 
6.8 
6.1 


Exams
Exams are closed book. You may, however, bring a single
(twosided) sheet of paper with whatever material on it that you
desire. I will provide a list of the axioms for the real numbers with
every exam.
There will be two midterms and a final.
Note that at least 50% of the problems on each midterm will be
taken from the homework.
See the class schedule for the
dates of the exams.
Here are the average scores on the exams:

1 
2 
Average (out of 100) 
65 
72 


Grades
The final score is composed of 10% for homework, 20% for workshop
problems, 20% for each midterm (there are two), and 30% for the final.
Grades will be assigned on a curve, modified by common sense: if every
student does well every student will receive a good grade.
Here is the complete breakdown of the class grades:
Final Exam 
66 
82 
89 
72 
80 
85 
105 
122 
115 
122 
Class Score 
33 
44 
53 
55 
59 
62 
65 
67 
68 
68 
Letter Grade 
F 
F 
D 
D 
D 
C 
C 
C 
C+ 
C+ 











Final Exam 
128 
125 
131 
150 
152 
165 
165 
180 
190 
181 
Class Score 
69 
70 
72 
76 
77 
80 
83 
83 
91 
96 
Letter Grade 
C+ 
B 
B 
B 
B 
B+ 
A 
A 
A 
A 


Mistakes
Please tell me in person, or via email, about any errors on this
website or made (by me!) in class.
