Introduction to Real Analysis I
- Instructor: Professor Eugene Speer
- Hill Center 520
- speer at math.rutgers.edu
- Office hours:
- Tuesday, 9:00–10:00 AM, Hill 520
- Thursday, 10:20–11:40 AM, Hill 520
- Friday, 9:00–10:00 AM, Hill 520
- Or by appointment or chance in Hill 520
- Detailed course information and policies (revised January 31):
As web page and as a PDF file.
- Hints on writing proofs:
- From your instructor: As web page and as
a PDF file.
- From Professor James Munkres, the author
of the text used in Math 441, Introductory Topology. (The copy here was
obtained from Prof. Jim Wiseman at Agnes Scott College; I do not know who
wrote the prefatory remarks.)
Click here for assignments.
Announcements and additional resources
Final exam: schedule, coverage, review problems, review session, and
The final exam in Math 311, Section 04, is scheduled for Wednesday
May 11, 8:00-11:00 AM, in SEC 206.
- The exam is cumulative. It will cover all the material in the
course except for the discussion of Taylor's Theorem given in the last
week. This corresponds to Chapters 0--4 of our text by Gaughan, but
we omitted Theorems 3.12, 3.19, and 4.14.
- Review: There will be a review/problem session on
Wednesday, May 4, from 10:00 AM to 12:00 PM, in Hill
Center 423. Here is a set of review
problems intended to help you prepare for the exam; they are probably
best used in conjunction with the two midterm exams, the assigned
homework problems, and the workshop problems. As well as problems like
these, the final exam may ask for statements of definitions and/or of
results proved in class, and for proofs of the latter.
- Office hours: I will not hold my normal office hours during
reading perioid and exams, but will have an office hour Tuesday, May 10,
10:00–11:30 AM, in Hill 520.
- Nathaniel's review session: Nathaniel will be hosting a review
session on Wednesday, April 27, from 6:00 PM to 8:00 PM, in Hill 525.
- The second midterm exam will be held on Friday, April 1.
- The exam will cover our work from the first exam through Friday, March 25,
which means Chapter 2 and Sections 3.1–3.3. More precisely: although
the exam will not ask questions specifically about Chapters 0 and 1, many
of the concepts there are relevant to the later material, and questions on
the exam may involve such concepts.
- Here are three hints:
The exam will have a problem very similar to the first problem on
Exam 1, but involving limits of functions rather than limits of
- The exam will have a problem which is taken straight from a
homework problem (one which was turned in), possibly with minor
- There will be a short-answer section, probably True/False.
- The class meeting Wednesday, February 17, will not have a
workshop; rather, Nathaniel will answer questions and do problems from this
assignment, earlier assignments, past workshops, etc.
- I will hold extra office hours on Thursday, March 31; my
office hours that day will be 9:00-10:00 AM, 10:20-11:40 AM, and 3:20-4:20