UBC

      MATH 220  Term II,  2016-2017:

                  Mathematical Proofs


UBC



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Syllabus, Assignments, and Exams


Instructors:                                                



Section 201 Prof. Nathaniel Bade   TR 11 - 12:30  Mathematics Annex 1100

Section 202 Prof. Brett Kolesnik    TR 11 - 12:30  Leonard S. Klinck 460

Section 203  Prof. Mahta Khosravi (IIC)   MWF 13 - 14  Geography 101




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.
  •        Induction
  •        Equivalence realtions
  •        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.


Drop-In 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 978-0321797094  (There will be copies of the textbook on reserve at Irving K. Barber Library)


e-text available at:
https://www.vitalsource.com/products/mathematical-proofs-a-transition-to-advanced-gary-chartrand-albert-d-v9780321892577
A free online nice text to read:  http://www.people.vcu.edu/~rhammack/BookOfProof/



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 two 50 minutes Midterm Exams which are in class and closed book, on Fridays Feb 3rd and March 10th for 203 MWF section, and on Thursdays Feb 2nd and March 9th for 201 and 202 TR sections . No make-up 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 web-page 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 pre-determined 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 Friday (except the Friday 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.

Students who type all their assignments (minus at most one) in Latex will receive a 2 points bonus added to their final grade. Here are some LaTeX resources.




Grading Policy:


Better result of the following:

(a) 10% homework + 20% 1st midterm + 20% 2nd midterm + 50% final exam
(b) 10% homework + 15% 1st midterm + 15% 2nd midterm + 60% 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.



This page last modified Sun Jan 4 11:30pm 2009