**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

- Section 101: Prof. Izabella Laba, MWF 12:00-12:50, Buchanan B313
- Section 102: Prof. Mahta Khosravi, MWF 12:00-12:50, MATX 1100

- Math Bldg 200, (604) 822 4457, ilaba@math.ubc.ca
- 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.

- Math Bldg 219, (604) 822 2615, khosravi@math.ubc.ca
- Office hours: Monday 1-2, Wednesday 10-11, Friday 10-11, in MATH 219.

- 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)

Useful links:

- Please read the UBC policy on Student Conduct and Discipline.
- Drop-in Tutorial Schedule
- AMS old 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]