**The final exam (for all sections) is on April 21, 7-9:30 PM, in WOOD 2.**- Office hours before the final exam:
- Prof. Khosravi: office hours Friday April 17, 2-3 pm, and a review session Friday April 17, 3-5 pm, in MATH 104.
- Prof. Laba: Wednesday April 15, 2-3 pm; Friday April 17, 2-3 pm; Monday April 20, 11am - 1 pm

- Solutions to the practice exam for Section 203. Please note that these are here only because Prof. Rechnitzer forgot to post them before leaving. The final exam for Sections 201 and 202 will be different (covering only the material that was covered in our classes).
- The UBC Math Club (MATX 1119) sells study packages with several final exams from recent years with solutions, at nominal price ($10).
- Practice problems for Chapter 10 are posted here. Solutions are posted below. We have covered Sections 10.1-10.3 in full. From Section 10.4, you need to know how to compare cardinalities of sets (the definition on page 236: |A| < |B| if there is an injective function A -> B but no bijection). We will be going over some practice problems for the exam next week (April 7-10).
- Practice problem solutions are now posted.
- Midterm solutions are here: Section 201 (TueTh 11-12:30), Section 202 (TueTh 2-3:30)
**The midterm exam is scheduled on Tuesday, Feb. 24, in class.**It will cover all material up to (and including) Section 5.2. A practice exam is posted here. (It consists of midterm and final exam problems from previous years.) Solutions are posted here.- HW4 solutions are now posted.
**Registration issues**: In Mathematics, instructors do not have the authority to sign up students for courses. If you need assistance with registration, you should email ugradchair@math.ubc.ca, include your name, student number, course and section number. Requests are handled and prioritized centrally by the department.

- Section 201: Prof. M. Khosravi, Tue Thu 11:00-12:30, MATX 1100
- Section 202: Prof. I. Laba, Tue Thu 14:00-15:30, LSK 460
- Section 203: Prof. A. Rechnitzer, MWF 12:00-12:50, LSK 201 (CPEN student section)

- Math Bldg 219, (604) 822 2615, khosravi@math.ubc.ca
- Office hours: Tue Thu 12:30-1:30

- Math Bldg 200, (604) 822 4457, ilaba@math.ubc.ca
- Office hours: Tue 1-2, Th 3:30-4:30, and by appointment

- Math Bldg 215, (604) 822 4516, andrewr@math.ubc.ca
- Office hours: Mon 3-4, Tue 2-4

- Sections 201 and 202: http://www.math.ubc.ca/~ilaba/teaching/math220_S2015 (this one).
- Section 203 (CPEN section): http://www.math.ubc.ca/~andrewr/maths220_cpen/maths220.html Please note that this section will follow a slightly different syllabus and have a different assessment and grading scheme.

- 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 (if time allows; Chapter 12)

Additional course related resources:

- Tim Gowers has a series of blog posts on mathematical logic. Highly recommended as supplementary reading for Chapter 2. (Update: the link has been fixed to point only to the subcategory of posts on logic, not to the larger "teaching" category.) See in particular:
- Robert Talbert's videos on set theory, logic and proof techniques. They are paired with a different textbook, but cover roughly the same material as this course and are identified by topic, so you should have no trouble finding the videos you need.
- "Dangerous Knowledge", a BBC documentary featuring the mathematicians Georg Cantor, Ludwig Boltzmann, Kurt Godel, and Alan Turing. The first part talks about Cantor and his discovery of infinities of different sizes, something that we plan to cover near the end of the course. The documentary is a bit overwrought and sensationalized at times, but it does a good job conveying both the general thrust of Cantor's work and the impact it had on the development of mathematics.

General links:

- Please read the UBC policy on Student Conduct and Discipline.
- Mathematics Learning Centre: The Math Department runs a drop-in tutorial centre for undergraduate Math courses, staffed by Graduate Teaching Assistants. This centre is located in Rooms 300, 301, and 302 in the Leonard S. Klinck (LSK) Building, and is open Monday through Friday, 9:00am to 7:00pm. Check the website above for any changes to hours and announcements. All tutors provide assistance with first- and second-year calculus and linear algebra and will attempt to help with any undergraduate Math course. In addition to regular assistance, the MLC offers Quick Help for students who are looking for fast support for minor snags. There is no charge for the services MLC provides.
- Past final exam database
- UBC Math Club, located in Math Annex 1119, sells math exam packages (old exams together with solution sets) for a nominal price before each final exam session.

[Mathematics Department] [University of British Columbia]