Faculty of Science
Department of Mathematics
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Course Archive 2010-2011
MATH 220 / 921
Mathematical Proof
Instructor: Simon Rose
email
Office: AA122
Class schedule: Tue Thu<br\>10:00 am - 12:00 pm
Classroom: LSK 460
Office hours: MWF 10am--11am
Course pages


Contents

Math 220 Introduction to Proof

What is a mathematical proof?

The goal of this course is to help answer this question in two ways; first, by teaching you to recognize what is a mathematical statement, and how to read a proof of one, and secondly, to teach you how to produce proofs yourself.


Schedule

This course meets Tuesdays and Thursdays, 10am--12 noon, beginning on May 10th through to July 28th.

Topics that will be covered will range through logic, set theory, number theory and divisibility, induction, sequences of numbers, and infinite series.

Textbook, etc.

The official textbook for the course is Mathematical Proofs (2nd Edition) by Chartrand.

We will also be using clickers during this class. Please ensure that you have one.

Homework

The goal of this course is for you to learn how to write correct, concise, and clear proofs. An important part of being able to produce a good proof is to be able to identify a good proof. To that end, the rough format of the assignments will be as follows (with the possible exception of the first few weeks).

The goal of this is to provide as much feedback as possible to help you learn how to prove mathematical statements, and to help teach you how to properly communicate mathematically.

There will also be other simpler questions week by week.

Exams

There will be two in-class midterm exams, on Tuesday June 7th, and Tuesday July 5th.

The final exam will be at 10am--1pm in SWNG 222 on Thursday, July 28th.

Solutions to the first midterm: File:Solutions1.pdf

Solutions to the second midterm: File:Mid2solns.pdf

Practice problems for the final exam are here: File:Problemsjul22.pdf

A list of convergence criteria: File:Conv.pdf

Grading Scheme

The final exam will be worth 40% of your grade.

Each midterm will be worth 20%.

The assignments will be worth collectively 20% of your grade.

20 + 20 + 20 + 40 = 100

Expectations

My expectations of you

The following are a list of expectations that I will have of you as students in this class.

Your expectations of me

Wiki

Regular course updates will be posted on this wiki. As will be made clear in the class, you may also be expected to contribute to this wiki. Information for how to do that can be found here.