- The final exam date and locations are as follows:
- Section 101 (Prof. I. Laba): December 9, 8:30-11 am, in GEOG 100
- Section 102 (Prof. M. Khosravi): December 9, 8:30-11 am, in MATH 100
- Office hours before the final exam:
- Section 101 (Prof. I. Laba): Wednesday Dec. 7, 2-4 and Thursday Dec 8, 2-4.
- Section 102 (Prof. M. Khosravi): TBA
- MATH 220 final exam topics:
- Chapter 1: Sections 1.1 - 1.5
- Chapter 2: Sections 2.1 - 2.10
- Chapter 4: Sections 3.1 - 3.4
- Chapter 4: Sections 4.1, 4.2, 4.4
- Chapter 5: Sections 5.1, 5.2, 5.4, 5.5
- Chapter 6: Sections 6.1, 6.2, 6.4
- Chapter 9: Sections 9.1 - 9.7
- Chapter 10: Sections 10.1 - 10.3
- The UBC Math Club is now selling
exam packages for a nominal price. (Old exams, with solutions.)
- Midterm 2 was on Monday, November 14 (both sections).
Solutions to Midterm 2.
- Midterm 1 was on Friday, October 7 (both sections).
Solutions to Midterm 1. The average in Section 101 was 24.3.
- Tim Gowers has a series of blog posts on mathematical logic. Highly recommended as supplementary reading.
- Homework #11 (for practice only - do not hand in.)
- Solutions to HW #11
Mathematics 220 (Mathematical Proof), Fall 2011
Lecture times and locations:
Lecturer: Izabella Laba (Section 101)
- Section 101: Prof. Izabella Laba, MWF 12:00-12:50, Buchanan B313
- Section 102: Prof. Mahta Khosravi, MWF 12:00-12:50, MATX 1100
Lecturer: Mahta Khosravi (Section 102)
- Math Bldg 200, (604) 822 4457, firstname.lastname@example.org
- Office hours: Monday 3-4, Wednesday 11-12, Friday 1-2, in MATH 200.
- If you cannot attend regular office hours due to schedule conflict, please make an appointment in advance.
Drop-ins and same-day requests for appointments cannot usually be accommodated.
Either (a) a score of 64% or higher in one of MATH 101, MATH 103, MATH 105, SCIE 001
or (b) one of MATH 121, MATH 200, MATH 217, MATH 226, MATH 253, MATH 263.
- Math Bldg 219, (604) 822 2615, email@example.com
- Office hours: Monday 1-2, Wednesday 10-11, Friday 10-11, in MATH 219.
Course web page: http://www.math.ubc.ca/~ilaba/teaching/math220_F2011
Homework assignments will be posted here.
Textbook: Gary Chartrand, Albert D. Polimeni and Ping Zhang:
"Mathematical Proofs - A Transition to Advanced Mathematics",
2nd ed., Pearson / Addison Wesley, 2008. ISBN 978-0321390530
Course goals: To learn how to construct and write mathematical proofs, with
strong emphasis on clarity and mathematical rigour. Specific topics will include:
This list is somewhat provisional and may be adjusted as needed.
A longer description (developed by Prof. Andrew Rechnitzer) is
available as a PDF file.
- Sets: definitions, set operations (Chapter 1)
- Logic: logical connectives, quantifiers (Chapter 2)
- Proofs: direct and contrapositive (Chapters 3 and 4)
- Proofs: existence and contradiction (Chapter 5)
- Induction (Chapter 6)
- Equivalence relations (if time allows; Chapter 8)
- Functions: injective, surjective, bijective, inverses and compositions (Chapter 9)
- Cardinality of sets: finite sets and different types of infinite sets (Chapter 10)
- Elementary real analysis - limits of sequences and series, concept of supremums (Chapter 12)
Your course mark will be based on homework (10%), two midterms
(20% each), and the final exam (50%). The grades may be slightly scaled at the end of the course.
There will be two in-class 50 minute midterms scheduled on Friday, October 7
and Monday, November 14, and a 2.5 hour final exam in December.
The date of the final examination will be announced by the Registar later
in the term.
Attendance at the final examination is required, so be careful about
making other committments (such as travel) before this date is confirmed.
All examinations will be strictly closed-book:
no formula sheets, calculators, or other aids will be allowed.
Homeworks: There will be weekly homework assigmnents, due on Fridays
at the beginning of class. If you cannot come
to class, you may drop off your homework at your instructor's office
prior to the start of class.
Late assignments will not be accepted.
Solutions will be posted on the course webpage immediately after Friday's lecture.
To allow for minor illnesses and other emergencies, the lowest 2 homework scores will be dropped.
Workshops: There will be weekly Math 220 problem solving workshops organized jointly by
the UBC Mathematics Department and the Carl Wieman Science Education Initiative. These are not
mandatory, but we strongly recommend attending them. For schedule and more information, see
Academic concession. Missing a midterm, or handing in a homework
after the deadline, will result in a mark of 0.
Exceptions may be granted in two cases: prior consent of the
instructor, or a documented medical reason.
Your course mark will then be based on your remaining coursework (normally, homework: 10%,
midterms and final exam: a total of 90%).
There will be no make-up midterms.
[University of British Columbia]