The required text for this course is The Elements of Real Analysis, Second Edition by Robert G. Bartle; I will follow it very closely.
The two editions of this book are quite different; make sure you have the 1976 edition; the preface should be dated "23 June 1975." New copies of this book are quite expensive; googling title and author is likely to turn up much cheaper used copies. The book is also on 2-hour reserve in the library on the 2nd floor of NAC.
Chapters 1-7 contain material that you should already know; we may review some of those topics as necessary.
I expect to cover Chapters 8-12; 14-17; 20-24.1; and 39-41. Time permitting, we may cover one or two additional topics, such as optimization or integration or.
Basic Structure of the course
Most of the material will come in four-class chunks, and here is what we'll do with each chunk:
You will have at least 5 days to read about 30 pages from the textbook on your own and work out some simple exercises.
A very short quiz containing one of those exercises, or something very much like it, will be given on the day the reading is due.
We'll spend two to three classes going over the harder parts of this material and solving problems.
You will have a little over a week to work on the problem set, due at the beginning of the fourth class.
During the fourth class, we may go over some of the homework problems, answer any remaining questions, and otherwise review the material.
The first two chunks will be a bit out of order, with reading only due after some lectures.
I strongly encourage you to study with other students from this class and to find 3-dimensional graphing software that you are comfortable with (for example, there are many free online options). Many students find it helpful to look at other textbooks and other online resources.
When you work together on problem sets, you should write your solutions yourself and acknowledge that you have worked together, i.e. write on the solutions you hand in "I worked with Jane Lee on problem 3, and with Jose Rodriguez on problems 2 and 4." Similarly, if you use any sources other than the textbook for the course, give a traceable reference to your source(s); "wikipedia" or "a theorem in a number theory book" is not traceable; "the wikipedia page for Equivalence_relation" and "Theorem 3.7 on p.54 of Burton's Elementary Number Theory" are traceable. Failing to do these things is called plagiarism, a form of cheating. Cheating is taken very seriously in US colleges. If I find plagiarism in your problem sets, you will receive no credit and no feedback on problem sets for the rest of the semester.
There are lots of good resources for computational calculus online.
City College has video lectures for our calculus sequence:
Math 201,
Math 202, and
Math 203.
Prerequisite courses you might want to sit in on:
40% of your grade will come from the final exam, date and time TBD.
20% of your grade will come from the Midterm Exam on Tuesday, March 27
If you have a conflict with this date, let me know as soon as possible!
30% of your grade will come from problem sets.
These are due at the beginning of class; solutions turned in after 4:05pm will receive half credit.
10% of your grade will come from reading quizzes.
I will grade 2-3 problems on each of the problem sets; you will also have the opportunity to get more feedback by participating in peer review.
Etiquette and Attitude.
My take on the laundry-list of things that most professors take for granted; some are more obvious than others; some are more important than others; many are equally standard outside academia.