MAT102H5

Introduction to Mathematical Proofs

University of Toronto Mississauga

Understanding, using and developing precise expressions of mathematical ideas, including definitions and theorems. Set theory, logical statements and proofs, induction, topics chosen from combinatorics, elementary number theory, Euclidean geometry.

24HR Notes for MAT102H5

Available 24 hours after each lecture

Shay Fuchs

Current Lecture
Mathematics
MAT102H5
Shay Fuchs
Next Lecture
Coming Soon
24HR
Premium

Available as soon as 23 Nov 2018

Mathematics
MAT102H5
Shay Fuchs

MAT102H5 Syllabus for Shay Fuchs — Fall 2018

DEPARTMENT OF MATHEMATICAL AND COMPUTATIONAL SCIENCES
UNIVERSITY OF TORONTO MISSISSAUGA
MAT102H5F LEC0101
Introduction to Mathematical Proofs
Course Outline - Fall 2018
Class Location & Time Tue, 09:00 AM - 11:00 AM DV 2080
Thu, 10:00 AM - 11:00 AM IB 120
Instructor Marina Tvalavadze
Office Location DH-3044
Office Hours Tuesday 11am -12pm, Thursday 11 am-12pm
E-mail Address marina.tv[email protected]utoronto.ca
Course Web Site https://q.utoronto.ca
Co-Instructor Shay Fuchs
Office Location DH-3046
Office Hours Tuesday 11:30am-1:00pm, Friday 9:10-10:30am
E-mail Address [email protected]utoronto.ca
Co-Instructor Xinli Wang
Office Location DH-3060
Office Hours Thursday, 11AM-1PM
E-mail Address xinliw.wa[email protected]nto.ca
Co-Instructor Zackary Wolske
Office Location DH-3097D
Office Hours Tuesday, Thursday 5:10-6pm
E-mail Address zack.wol[email protected]utoronto.ca
Co-Instructor Timothy Yusun
Office Location DH 3058
Office Hours Thursday 10am-12:30pm, 1:30-3:30pm
E-mail Address [email protected]utoronto.ca
Teaching Assistant See course website
Course Description
Understanding, using and developing precise expressions of mathematical ideas, including definitions and theorems. Set theory,
logical statements and proofs, induction, topics chosen from combinatorics, elementary number theory, Euclidean geometry. [36L,
12T]
Prerequisite: Minimum 70% in Grade 12 Advanced Functions (MHF4U)
Exclusion: MAT138H1,MAT246H1,CSC165H1,CSCA67H3
Recommended: Minimum 70% in Grade 12 Calculus and Vectors (MCV4U) (SCI)
Distribution Requirement: SCI
Students who lack a pre/co-requisite can be removed at any time unless they have received an explicit waiver from the department.
The waiver form can be downloaded from here.
Textbooks and Other Materials
The course notes (by Shay Fuchs) will be the main resource for this class and contains all required materials. These notes will be
available on the course website. Hard copies of the course notes will also be available in the bookstore.
NOTE: Calculators are not needed for this course, and will not be allowed during quizzes, tests and exam.
MAT102H5F - Tvalavadze, Marina 2018-08-28 11:58:25 Page 1 of 4
Type Description Due Date Weight
Assignment Best 4 (out of 5) hand-in assignments. On-going 10%
Quiz Best 3 (out of 4) in-class quizzes. On-going 30%
Term Test 2018-11-01 20%
Final Exam TBA TBA 40%
Total 100%
Assessment and Deadlines
More Details for Assessment and Deadlines
Problem Sets
Problem sets will be posted on the course website every week, and will cover the recent material discussed in lectures. You are
expected to work on the questions assigned, and if you cannot solve a problem, you should ask your TA and/or the instructor for
help. You will submit Problem Sets B,D,E,G and I to your TA for grading. The other problem sets will NOT be submitted for
grading, but you will be tested on the material they cover on a quiz, test or exam (see the course schedule below).
You are encouraged to work with your fellow students while working on questions from the problem sets. However, the writing of
your assignment must be done without any assistance whatsoever. Your problem set mark will be determined by taking the
average of the best four problem sets.
Note: If a problem set is to be submitted for grading, submit one copy of your work to your TA at the beginning of the tutorial
on the week it is due, and in the tutorial you are registered in.
Quizzes and Term Test
There will be four quizzes and one term test. See the course schedule below for dates, times, location and material for each
quiz/term test. More details about the term test and the quizzes will be given later. You must bring your student card to the term
test and to each quiz. Your quiz mark will be determined by taking the average of the best three quizzes.
Note: There are no makeup quizzes! If you miss one quiz due to illness, you DO NOT need to submit a medical note, since only
the best three quizzes will count. If you miss more than one quiz, you will have to provide proper documentation to the course
coordinator (Marina Tvalavadze) and your marking scheme will be adjusted (see the section Missing a Quiz below).
Penalties for Lateness
Missing a Problem Set
Late Problem Sets will not be accepted for marking.
Procedures and Rules
Missed Term Work
Missing a Quiz
There are no makeup quizzes! If you miss one quiz due to illness, you do not need to submit a medical note, since only the best
three quizzes will count. If you miss more than one quiz, you will have to provide proper documentation to the course coordinator
(Marina Tvalavadze) and the weight of the quiz (quizzes) will be shifted towards the final exam.
Missing the Term Test
If you cannot show up for the test because of illness or any other special reason, you should declare your absence on ROSI and
submit your documentation to the course coordinator (Marina Tvalavadze) no later than one week after the day of the test (for
medical notes, you must use the Official Verification of Student Illness or Injury form, which can be downloaded from the
course website).
There will be no make-up tests. If valid documentation is provided, the weight of the test will be shifted towards the final exam.
MAT102H5F - Tvalavadze, Marina 2018-08-28 11:58:25 Page 2 of 4
Week of
0 September 6 Classes begin. No tutorial this week.
1 September 11 Tutorials begin this week;
2 September 18 September 20 -- QUIZ 1 on Problem set A
3 September 25 Problem Set B is due this week in tutorials
Missed Final Exam
Students who cannot write a final examination due to illness or other serious causes must file an online petition within 72 hours of
the missed examination. Original supporting documentation must also be submitted to the Office of the Registrar within 72 hours
of the missed exam. Late petitions will NOT be considered. If illness is cited as the reason for a deferred exam request, a U of T
Verification of Student Illness or Injury Form must show that you were examined and diagnosed at the time of illness and on the
date of the exam, or by the day after at the latest. Students must also record their absence on ACORN on the day of the missed
exam or by the day after at the latest. Upon approval of a deferred exam request, a non-refundable fee of $70 is required for each
examination approved.
Academic Integrity
Honesty and fairness are fundamental to the University of Toronto’s mission. Plagiarism is a form of academic fraud and is treated
very seriously. The work that you submit must be your own and cannot contain anyone elses work or ideas without proper
attribution. You are expected to read the handout How not to plagiarize (http://www.writing.utoronto.ca/advice/using-sources/how-
not-to-plagiarize) and to be familiar with the Code of behaviour on academic matters, which is linked from the UTM calendar under
the link Codes and policies.
Final Exam Information
Duration: 2 hours
Aids Permitted: None
Additional Information
Tutorials
There are several tutorial groups in the course. Each student must be registered in one of the tutorials (on ROSI), and attend it
regularly every week. Details regarding the day, time and location of your tutorial are available online, at
https://registrar.utm.utoronto.ca/student/timetable/. In tutorials, you will have the opportunity to work on problems and get help and
guidance from your TA. Occasionally, the TA will review some of the material discussed in the lectures, and will present solutions
to homework problems. Tutorials will begin on the week of September 11.
Note: Students can register to any of the tutorials, regardless of the lecture section in which they are registered.
E-mail Policy
E-mails must originate from a utoronto.ca address and contain the course code MAT102 in the subject line. You must include your
full name and student number in your e-mail.
Course Content (Tentative)
1. Weeks 1-3: Chapter 1 and 2 - Numbers, Quadratics and Inequalities, Sets, Functions and the Field Axioms.
2. Weeks 4-5: Chapter 3 - Informal Logic.
3. Weeks 6-7: Chapter 4 - Mathematical Induction.
4. Weeks 8-9: Chapter 5 - Bijection and Cardinality .
5. Weeks 10-11: Chapter 6 - Integers and Divisibility .
6. Weeks 11-12: Chapter 7 - Relations
Course Schedule
MAT102H5F - Tvalavadze, Marina 2018-08-28 11:58:25 Page 3 of 4
4 October 2 October 4 -- QUIZ 2 on Problem set C
October 9 FALL READING WEEK- NO LECTURES/TUTORIALS
5 October 16 Problem Set D is due this week in tutorials
6 October 23 Problem Set E is due this week in tutorials
7 October 30 TERM TEST on November 1 on Probem Sets A, B, C, D, E, F
8 November 6 Problem Set G is due this week in tutorials
9 November 13 November 15 -- QUIZ 3 on Problem Set H
10 November 20 Problem Set I is due this week in tutorials
11 November 27 November 29 -- QUIZ 4 on Problem Set J
12 December 4 Classes end on December 5. No tutorials this week.
Week of
Last Date to drop course from Academic Record and GPA is November 8, 2018.
MAT102H5F - Tvalavadze, Marina 2018-08-28 11:58:25 Page 4 of 4

Log In


OR

Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Sign up

Join to view


OR

By registering, I agree to the Terms and Privacy Policies
Already have an account?
Just a few more details

So we can recommend you notes for your school.

Reset Password

Please enter below the email address you registered with and we will send you a link to reset your password.

Add your courses

Get notes from the top students in your class.


Submit