MATH 220.921:
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Syllabus,
Assignments,
and Exams |
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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
- 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: |
07/29/2020- There will be extra office hours on Friday 12--1 and 3--5 and Saturday 12--2. 07/29/2010- Solutions to Homework 8 posted. 07/23/2010- Solutions to Homework 7 posted. 07/22/2010- Homework 8 posted due on Thursday July 29th. 07/13/2010- Homework 7 posted due on Tuesday July 20th. 06/29/2010- Second Midterm will be on Thursday July 8th, with questions on Chapters 5, 6 and 9. 06/29/2020- Our next lecture on July 6th will be a problem solving session. 06/29/2010- Solutions to HW6 has been posted and there will be no homework for next week. 06/22/2010- Homework 6 and solutions to midterm1 and HW 5 have been posted. 06/02/2010- The first midterm is on chapters 1--5. 06/01/2010- There will be a problem solving session on Monday June 7th 10--12 in MATH100. 06/01/2010- There will be no lecture on Tuesday June 8th and first Midterm will be on Thursday June 10th. 05/28/2010- Homework 3 and solutions to HW 2 posted. 05/20/2010- Homework 2 posted due on Thursday May 27th. 05/13/2010- Homework 1 posted due on Thursday May 20th. 05/04/2010- Website Created. |
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Instructor:
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Prof. Mahta Khosravi
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Time and Location: |
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| Drop-In Tutorials: |
http://www.math.ubc.ca/Ugrad/ugradTutorials.shtml |
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Text: |
 Gary Chartrand, Albert D. Polimeni and Ping Zhang: Mathematical Proofs - A Transition to Advanced Mathematics (Second Edition). Pearson / Addison Wesley, 2008. ISBN 978-0321390530 |
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| 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. |
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Exams: |
There will be two Midterm Exams totally worth 40% of the term grade, tentatively on June 10th, and one on July 8th. There will be a final examination held either the evening of Friday July 30 or Saturday July 31. This exam will account for 50% of a student’s final grade. The final exam will not generally be weighted higher for students who perform better on the final exam than they did during the term, although some allowance may be made for students who perform much better on the final exam than they did during the term. |
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Homework |
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, best 8 grades (out of 9 or 10 homworks in total) is
counted
as 10% of the term grade. 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. |
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