
MATH
220.921:
Mathematical
Proofs


The main aim of the course
is to learn how write clear and correct mathematical
proofs. It provides the gateway to more advanced
mathematics. A little more precisely (though this is
provisional) we cover subjects from:
 Sets 
definitions, set operations
 Logic  logical
connectives, quantifiers
 Proofs  direct
and contrapositive.
 Proofs 
existence and contradiction.
 Functions 
injective, surjective, bijective, inverses and
compositions.
 Cardinality of
sets  finite sets and different types of infinite sets.
 Elementary real
analysis  limits of sequences and series, concept of
supremums.
Announcements:

05/15/2017 Website Created.


Instructor:

Prof. Mahta Khosravi
Office

MATH 219

Home page

http://www.math.ubc.ca/~khosravi/

Email

khosravi AT
math.ubc.ca

Phone

8222615

Office Hours

TRF 12:00pm 
12:30pm (MATH 219)
or make an appointment by email. 


Time and Location:

TRF 10:00am  12:00pm
(MATH 102)
W
10:00am  1:00pm (MATH 102)


DropIn Tutorials:

http://www.math.ubc.ca/Ugrad/ugradTutorials.shtml


Text:

Gary Chartrand, Albert D. Polimeni and Ping
Zhang: Mathematical Proofs  A Transition to
Advanced Mathematics (Third Edition). Pearson /
Addison Wesley, 2013. ISBN 9780321797094


Prerequisites: 
You must have either a score of 64% or higher in one
of MATH 101, MATH 103, MATH 105,
SCIE 001, or one of MATH 121, MATH 200, MATH 217,
MATH 253, MATH 263.
If you do not have these prerequisites then you must
see your lecturer as soon as possible.


Exams:

There will be one 100 minute Midterm Exam which is
in class and closed book, tentatively on June 2nd.
No makeup midterm exam will be given.
The date of the ﬁnal examination will be
announced by the Registar later in the term.


Homework
Assignments:

On this webpage you will find the sections from
the text that you should be reading before to come
to class. The instructor will try to observe this
predetermined schedule. It is important that you
check regularly this course webpage.
Homework assignments will be posted weekly on
this course website and collected on each
Wednesday (except the Wednesday in the first week)
in class. Homework is the essential educational
part of this course. You cannot expect to work
problems on the exams if you have not worked lots
of homework problems. Therefore, it is important
that you spend an adequate time on homework
regularly, each week. Late homework will not be
accepted. You can work together on the homework,
but you should always write up your own homework
solutions in your own words.


Grading Policy:

10% homework + 10% Weekly Quizzes + 30% midterm +
50% final exam


Policy on missed assignments and the midterm exam:

Students who are unable to hand in a homework due to
a medical or equivalent excuse may have that
homework not count towards their final grade.
Missing a midterm exam or a homework normally
results in a mark of zero. Exceptions are granted
only with prior consent of the instructor or due to
a medical emergency. In the latter case, the
instructor must be notified within two working days
of the missed exam and presented with a doctor’s
note immediately upon the students return to UBC. If
an exception is granted for a missed test, the final
exam will be used to make up that portion of the
grade.


