Disclaimer

Please note that the ongoing COVID- 19 pandemic may necessitate a revision of the format of course offerings, changes in classroom protocols, and academic schedules. Any such changes will be announced via Courselink and/or class email.

This  includes  on-campus  scheduling  during the  semester, mid-terms  and  final  examination  schedules. All University-wide  decisions will be posted on the  COVID- 19 website  (https://news.uoguelph.ca/2019-novel- coronavirus-information/) and circulated by email.

Illness

Medical notes will not normally be required for singular instances of academic consideration, although students may be required to provide supporting documentation for multiple missed assessments or when involving a large part of a course (e.g., final exam or major assignment).

Covid-19 Safety Protocols

For information on current safety protocols, follow these links:

•     https://news.uoguelph.ca/return-to-campuses/how-u-of-g-is-preparing-for-your-safe-return/

•     https://news.uoguelph.ca/return-to-campuses/spaces/#ClassroomSpaces

Please note, these guidelines may be updated as required in response to evolving University, Public Health or government directives.

GENERAL INFORMATION

Course Title: Real Analysis, Math 3200

Course Calendar Description:

This course provides a basic foundation for real analysis. The rigorous treatment of the subject in terms of theory and examples gives students the flavour of mathematical reasoning and intuition for other advanced topics in mathematics. Topics covered include the real number line and the supremum property; metric spaces; continuity and uniform continuity; completeness and compactness; the Banach fixed-point theorem and its applications to ODEs; uniform convergence and the rigorous treatment of the Riemann integral.

Requisites: MATH*2000, (MATH*1160 or MATH*2160) - Must be completed prior to taking this course. Credit Weight: 0.5

Academic Department (or campus): Mathematics and Statistics

Campus: University of Guelph Main Campus

Semester Offering: Fall 2022

Class Schedule and Location: Lectures will be offered online in an asynchronous mode of delivery and they will be posted on CourseLink.

Instructor Information

Lectures’ Instructor Name and office location : Prof. Anna Lawniczak, MacN 522

Instructors’ Emails: Prof. Anna Lawniczak, alawnicz@uoguelph.ca

Office location and office hours: Office hours will be held online and their schedule with all the required information will be posted on CourseLink.

GTA Information:

GTA Name: Matthew Kreitzer

GTA Email: Matthew Kreitzer <[email protected]>

Office location and office hours: Office hours will be held in person or online and their schedule with all the required information will be posted on CourseLink.

Course Content

Specific Learning Outcomes: (1) demonstrate foundation for real analysis; (2) demonstrate an ability to formulate  mathematical  abstraction;  (3)  improvement  of mathematical  reasoning  and  intuition  for  other advanced topics in mathematics; (4) improvement of mathematical technical competence; (5) improvement of the ability to think critically and independently; (6) improvement of effectively communicating mathematical ideas; (6)

Lecture Content: The lecture content, i.e. the covered material, will follow the selected material from the course-required textbook. Not all course topics will be covered at the same level of depth.

Course Assignments: From each covered topic, i.e. part of the covered material, there will be assigned problems and the material to read from the textbook. Students are expected to do the assigned problems and read the assigned material from the textbook. The assigned reading material and the assigned problems will be posted on CourseLink at the time when the corresponding topic is covered. The solutions to the assigned problems will not be collected and graded.

Course Evaluation: The course evaluation will be based on 4 take-home quizzes. The take-home quizzes will be based on the covered material and the assigned problems. 4 days before the due date of each take-home quiz the information on which material the quiz will be based on will be posted on CourseLink. The text of each quiz will be posted on CourseLink. The students will have one day to complete each take-home quiz.

Take-home Quiz- 1 – 25% - posted Thursday, October 06, 2022, due Friday at 10 pm, October 07, 2022        Take-home Quiz-2 – 25% - posted Thursday, October 27, 2022, due Friday at 10 pm, October 28, 2022        Take-home Quiz-3 – 25% - posted Thursday, November 10, 2022, due Friday at 10 pm, November 11, 2022 Take-home Quiz-4 – 25% - posted Thursday, November 24, 2022, due Friday at 10 pm, November 25, 2022

Submission format of your take-home quizzes: Take-home quizzes must be submitted as pdf files via CourseLink Dropbox. You can type your work or scan your handwritten solutions as pdf files and upload them to CourseLink. Your handwritten solutions must be clearly written and they must be readable for the TA to grade them. You must work independently on your solutions and present your individual work. In this course, Turnitin is integrated with the CourseLink Dropbox tool, to detect possible plagiarism, unauthorized collaboration or copying as part of the ongoing efforts to maintain academic integrity at the University of Guelph.

Course Resources

Required Texts:

“Closer and Closer Introducing Real Analysis”, Carol S. Schumacher, Jones and Bartlett Publisher, available at University of Guelph Library Guelph Book Stacks (QA331.S38 2008). 2 copies of this textbook are on the Reserve Shelf in the University of Guelph Library

Recommended Texts:

"A Problem Book in Real Analysis" Asuman G. Aksoy and Mohamed A. Khamsi, Springer, available online All other relevant resource course material will be posted on CourseLink at the time when the corresponding topic is covered.

Grading Policies

Requests  for  academic  consideration  because  of illness  or  of a  compassionate  nature  when  an  in-course requirement is missed must be made in writing and be accompanied by official certificate whenever possible. See the academic calendar for information on regulations and procedures for Academic Consideration:

https://www.uoguelph.ca/registrar/calendars/undergraduate/current/c08/c08-ac.shtml                                          https://calendar.uoguelph.ca/undergraduate-calendar/undergraduate-degree-regulations-procedures/academic- consideration-appeals-petitions/

University Policies

E-mail Communication:

As per university regulations, all students are required to check their University of Guelph e-mail account  regularly. University of Guelph e-mail is the official route of communication between the University and its students and between the instructor and the course students.

When You Cannot Meet a Course Requirement:

When you find yourself unable to meet an in-course requirement because of illness or compassionate reasons, please advise the course instructor in writing, with your name, id#, and e-mail contact. See the academic calendar for information on regulations and procedures for Academic Consideration:

http://www.uoguelph.ca/registrar/calendars/undergraduate/current/c08/c08-ac.shtml                                           https://calendar.uoguelph.ca/undergraduate-calendar/undergraduate-degree-regulations-procedures/academic- consideration-appeals-petitions/

Drop Date:

The last date to drop one-semester courses, without academic penalty, is Friday, December 02, 2022. For regulations and procedures for Dropping Courses, see the Academic Calendar:

https://www.uoguelph.ca/registrar/calendars/undergraduate/current/c08/c08-drop.shtml                                     https://calendar.uoguelph.ca/undergraduate-calendar/undergraduate-degree-regulations-procedures/dropping- courses/

Copies of out-of-class assignments:

Keep back-up copies of all out-of-class assignments: you may be asked to resubmit work at any time.

Accessibility:

The University promotes the full participation of students who experience disabilities in their academic                      programs.  To that end, the provision of academic accommodation is a shared responsibility between the University and the student.

When accommodations are needed, the student is required to first register with Student Accessibility Services      (SAS).  Documentation to substantiate the existence of a disability is required, however, interim accommodations may be possible while that process is underway.

Accommodations are available for both permanent and temporary disabilities. It should be noted that common illnesses such as a cold or the flu do not constitute a disability.

Use of the SAS Exam Centre requires students to make a booking at least 14 days in advance, and no later than November 1 (fall), March 1 (winter) or July 1 (summer). Similarly, new or changed accommodations for online quizzes, tests and exams must be approved at least a week ahead of time.

More information: www.uoguelph.ca/sas

Academic Misconduct:

The University of Guelph is committed to upholding the highest standards of academic integrity and it is the    responsibility of all members of the University community – faculty, staff, and students – to be aware of what  constitutes academic misconduct and to do as much as possible to prevent academic offences from                     occurring.  University of Guelph students have the responsibility of abiding by the University's policy on          academic misconduct regardless of their location of study; faculty, staff and students have the responsibility of supporting an environment that discourages misconduct.  Students need to remain aware that instructors have   access to and the right to use electronic and other means of detection.

Please note: Whether or not a student intended to commit academic misconduct is not relevant for a finding of guilt. Hurried or careless submission of assignments does not excuse students from responsibility for verifying the academic integrity of their work before submitting it. Students who are in any doubt as to whether an          action on their part could be construed as an academic offence should consult with a faculty member or faculty advisor.

The Academic Misconduct Policy is outlined in the Undergraduate Calendar.

The Academic Misconduct Policy is detailed in the Undergraduate Calendar:

https://www.uoguelph.ca/registrar/calendars/undergraduate/current/c08/c08-amisconduct.shtml                        https://calendar.uoguelph.ca/undergraduate-calendar/undergraduate-degree-regulations-procedures/academic- misconduct/

Course Policy regarding use of electronic devices and recording of lectures:

Presentations which are made in relation to course work —including lectures —cannot be recorded, copied and distributed without the written permission of the presenter, whether the instructor, a classmate or a guest lecturer. Material recorded with written permission is restricted to use for that course unless further written permission is granted.  When recordings are permitted, they are solely for the use of the authorized student and may not be reproduced, or transmitted to others, without the express written consent of the instructor, or presenter.

Privacy Guide Recording of Lecture Material:

By enrolling in a course, unless explicitly stated and brought forward to their instructor, it is assumed that students agree to the possibility of being recorded during lecture, seminar or other “live” course activities, whether delivery is in-class or online/remote.

If a student prefers not to be distinguishable during a recording, they may:

1.    turn off their camera

2.    mute their microphone

3.    edit their name (e.g., initials only) upon entry to each session

4.    use the chat function to pose questions.

Students who express to their instructor that they, or a reference to their name or person, do not wish to be recorded may discuss possible alternatives or accommodations with their instructor.

Course Evaluation Policy:

Please see: https://courseeval.uoguelph.ca/files/Provosts%20Protocol%20for%20teaching%20evaluations%20- %20updated%20March%202010.pdf

Additional Course Information

Resources:

The Academic Calendars are the source of information about the University of Guelph’s procedures, policies and regulations, which apply to undergraduate, graduate and diploma programs:

https://www.uoguelph.ca/registrar/calendars/undergraduate/current/

University Netiquette about Online Behaviour:

Inappropriate online behaviour will not be tolerated. Examples of inappropriate online behaviour include:

·          Posting inflammatory messages about your instructor or fellow students

·           Using obscene or offensive language online

·          Copying or presenting someone else's work as your own

·          Adapting information from the Internet without using proper citations or references

·           Buying or selling term papers or assignments

·          Posting or selling course materials to course notes websites

·          Having someone else complete your quiz or completing a quiz for/with another student

·           Stating false claims about lost quiz answers or other assignment submissions

·          Threatening or harassing a student or instructor online

·          Discriminating against fellow students, instructors and/or TAs

·           Using the course website to promote profit-driven products or services

·         Attempting to compromise the security or functionality of the learning management system