The class meets Thursdays from 10:00 to 11:15 in Vari Hall 3009. There are
tutorial meetings from 10:30 to 11:20 on Fridays in
TEL 0009 and TEL 0004. (See the
for the
location of these rooms.) The organization of the tutorials will be
explained in class.
My office is N523 in the Ross building.
Due to other commitments I am not able to provided a regular schedule
of office hours, but you are welcome, indeed encouraged, to
make an appointment to see me.
My telephone number is 7365250 (ask for me), however,
I check my email frequently and often the best way of reaching me is to
send me an email. Be sure to check your spelling and grammar
before sending off your email though  my response time to sloppy
emails is much longer than to carefully written ones.
Text
This course will follow
A concise introduction to Pure
Mathematics by Martin Liebeck. The aim of the course is to
cover Sections 1, 6, 8, 10, 11 and 18 as well as some other
sections. These may include 9, 12, 16, 19 or 22. Problems and exercises from this text will supplemented by
other material.
However, there are a
number of other books covering much of the same material that you may find
useful. I have listed just a few of them:
 An Introduction to Mathematical Reasoning by Peter J. Eccles.
 How to Prove It: A Structured Approach by Daniel
J. Velleman.
 Thinking Mathematically by John Mason has a good
collection of problems.
 Which Way Did the Bicycle Go?: ... and Other Intriguing
Mathematical Mysteries by Joseph D. E. Konhauser, Dan
Velleman and Stan Wagon also has a good
collection of problems, requiring a bit more ingenuity.
 How to Solve It: A New Aspect of Mathematical Method
by G. Polya is a classic written by a master
on the art of problem solving. While it may seem a bit
dated, it has the most comprehensive coverage of actual problem
solving strategies and tactics.
 There is also a film,
Let Us Teach Guessing,
made by the
American Mathematical Society about Polya's approach in action in
a high school setting.

The Fields medalist Tim Gowers maintains an interesting blog on
mathematical topics. While much of the material on which he writes
is quite sophisticated, he also has postings on topics from
undergraduate mathematics. Two that are especially relevant to this
course
are Proving the fundamental theorem of arithmetic and
Why isn't the fundamental theorem of arithmetic
obvious? . The various various posts on basic logic are also well worth
reading.
 Another Fields medalist, Terry Tao, also maintains a blog that, while not
quite as relevant to this course, contains some material of general
mathematical interest.
Course evaluation
There will be a problem solving assignment every two weeks there
will also be examinations during the December examination period and at
the end of the course during the April examination period. The final
mark will consist of the following components:
 December examination: 25%. The December examination
will be held Wednesday, December 15th at 9:00 AM in the Rexall
Tennis Centre. A list of exercise questions to be used in preparing for the mid
term is now
available. The mid term questions will be chosen from these.
 April examination: 45%
 Marked assignments: 30%
The marked assignments component will consist of marks for assignments done both in class and
at home. Students must come to class prepared to write an
assignment during the last 15 minutes.
Students of this course will be able to find their scores for the
various components of the final grade
posted here
as they become available.
Important dates
Check
the
registrar's web pages for full information. Here are some
important dates:
 The first lecture is on Thursday, September 11.
 First tutorials are on Friday, September 19.
 There are no classes on October 30 and February 19.
 There are no tutorials
on October 31 and February 20.
 The last date to drop courses without
receiving a grade is February 6.
 The last class for the Fall Term is on December 4.
 The last class for the Winter Term is on April 2.
If you follow me on Twitter by clicking the following follow
button
you will receive tweets about changes or corrections to
assignments, tests and deadlines.
Course materials
The
assignments and
additional materials can be found here
 simply click on the appropriate link. These will be updated
throughout the course.
A web site devoted to all sorts of
mathematical problems, including those encountered in
undergraduate courses like this one, is
Mathematics Stack
Exchange. If you intend to use this site be sure to read the
FAQ, especially the part about tagging homework questions. You
are encouraged to use this site, but you should also know that I
will also be looking in. Any assignment substantially similar to
a Math Stack Exchange posting will be consdiered to be plagiarism.
The Class Representative Program at Bethune College is
a new initiative designed to assign a class representative to each of the major
courses in the Faculty of Science and Engineering. Class representatives serve as
liaisons between the course instructor and other students in the
course, providing general feedback and bringing any concerns
that arise to the attention of the instructor.
Please consider volunteering to be the class representative for this section.
Instructor
Juris Steprans
Email address: steprans@yorku.ca
Department of Mathematics and Statistics.
Ross 523 North
York University
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This page was last modified on Thursday, January 08, 2015 at 14:52:08.