Instructor: M. Kate Kearney
E-Mail: kearney@gonzaga.edu
Office Number: Herak 227B
Office Hours: 9:00-10:00 MWF, Tuesday 11-12 (in the math lab) or by appointment
Course Announcements:
• Remaining assignment deadlines:
4/22 - Ch 9 homework
4/23 - draft of workshop 7
4/27 - final version of workshop 7
4/29 - Ch 10 homework
5/7 - Math talk assignment (see OneDrive)
• See Blackboard for Zoom links for office hours and lectures.
• Workshop dates: March 27, April 6, April 15, April 24
• Other in-class activities: March 23, April 17
Useful links:
• Why one is not prime:
Roots of Unity blog.
• Excerpts from Proofs from THE BOOK
• N is a Number, the story of Paul Erdos
• LaTeX resources
Course description:
A development of standard proof techniques through examination of logic, set theory, topology of the real line,
one-to-one, onto, and inverse functions. Additional topics may be chosen from analysis and algebra.
Prerequisite: MATH 259 Minimum Grade: D
Unlike most math classes, the goal of this course is not to cover any particular area of mathematics, but to develop
the ability to write and understand mathematical proofs. We will roughly follow a textbook, but only to the extent that we should
have some common knowledge and some topics to write proofs on. We will most of our time working on solving problems, constructing
logical arguments, writing proofs, evaluating logical arguments, editing our proofs, and improving our writing. By the end of the
semester you should be able to construct sound logical arguments, evaluate arguments for consistency, recognize basic proof techniques,
and write your arguments clearly and concisely. We will use logic and set theory as a framework to begin, but we will touch on
many other areas of mathematics by the end of the semester.
Considering the focus on mathematical writing, this course is designated as Writing Enriched under the university core curriculum.
As such, it meets the following learning outcomes: At the completion of this course, students will be able to
• demonstrate competency in formal and informal writing specific to the discipline in which the writing occurs.
• integrate appropriate primary and secondary research in their writing by the means customarily used in the discipline.
• incorporate feedback received during an intensive revision process.
Class meets MWF 11:00-11:50 am in PACCAR 101 (Section 01).
In accordance with Gonzaga's attendance policy you should not miss more than 6 meetings of this course.
We will be using the book Book of Proof,
by Richard Hammack. It is available online, but you can also buy a copy in paperback if you prefer.
Grades will be assigned based on the following:
Homework
20%
Portfolio and other written work
40%
Exams
40%
• Homework will be assigned approximately once a week. Homework assignments will be announced in class and subsequently posted on
this webpage. Late homework will be accepted for up to 50% credit for up to one week after the due date.
The purpose of homework is to practice the new concepts we learn in class and to practice proof-writing. You are expected to write complete,
detailed solutions to all homework problems and use this as an opportunity to improve your proof-writing skills.
• Portfolio Over the course of the semester we will have several proof-writing workshops in class. The nature of these
will change as we develop our proof-writing skills, but each will involve working on a particular proof. You will bring a draft of a
proof (or maybe a few proofs) to class, and we will give each other comments and discuss how to improve our proofs. Following each workshop
you should rewrite your proof, considering the comments you receive from your classmates. Your final drafts of these proofs will be graded
for your portfolio. You should turn in all portfolio proofs electronically, written in LaTeX. Keep an ongoing file of all portfolio proofs.
More details about the portfolio assignments can be found on One Drive (see "Portfolio assignments).
Portfolio drafts will not be accepted late for submission for the peer-editing workshop. Final drafts of portfolio work will be accepted up to five days
late with a reduction of one point per day to the assigned grade.
• Other Written Work An important aspect of the study of mathematics is the ability to read mathematical writing,
to listen to talks on mathematics, and to summarize what you have understood. You will have several short writing assignments
in which will you demonstrate this ability by exploring mathematics both written and verbally presented, and writing a response
paper. Please note: This will include required attendance at a math talk of your choice at some point in the semester.
The schedule of these talks will be provided as soon as it is available.
• Exams You will take two exams, a midterm and a (noncumulative) final. You will be tested over the mathematical
concepts we develop. Exams will include some proof-writing. They may include problems you have already seen in your homework. Exams are
intended to serve as a check-point for conceptual understanding.
Midterm Exam is scheduled for Wednesday, March 4. Exam date will be confirmed at least two weeks prior to the exam.
Make-ups must be confirmed with your Professor at least 24 hours prior to the exam.
Final Exam will be held as scheduled
by the University on Thursday, May 7, 8-10 am (Section 01). You may petition to take your final with the
other section if you prefer an alternate time. Requests will be granted provided there is sufficient classroom space. Makeup Examinations
Make up exams will be given at the discretion of the instructor. You must have approval from your instructor to take
a make up exam.
Academic Integrity
While collaboration and good use of resources are important for the learning process, you are expected to complete all your
work on your own. You may talk with other people about how to solve homework problems, but your write-up should be done individually.
Quizzes and tests are strictly your own work and any evidence of sources outside your own brain will be considered cheating.
Sharing your work inappropriately with another student is also considered cheating.
Any cases of cheating will be dealt with seriously. You will be asked to meet with me and the math department chair. Severe cases may result in failure of the course
and will be reported to the Dean.
Please refer to the student handbook for a description of the University's Academic Honesty policy.
A NOTE ON HARASSMENT, DISCRIMINATION AND SEXUAL MISCONDUCT:
Consistent with its mission, Gonzaga seeks to assure all community members learn and work in a welcoming and inclusive environment. Title VII,
Title IX and Gonzaga's policy prohibit harassment, discrimination and sexual misconduct. Gonzaga encourages anyone experiencing harassment,
discrimination or sexual misconduct to talk to someone from the Campus and Local Resources list found in the Student Code of Conduct Website:
http://www.gonzaga.edu/Student-Life/Community-Standards/Student-Code-of-Conduct.asp about what happened so they can get the support they need
and Gonzaga can respond appropriately. There are both confidential and non-confidential resources and reporting options available to you.
Gonzaga is legally obligated to respond to reports of sexual misconduct, and therefore we cannot guarantee the confidentiality of a report,
unless made to a confidential resource. Responses may vary from support services to formal investigations. As a faculty member, I am required
to report incidents of sexual misconduct and thus cannot guarantee confidentiality. I must provide our Title IX coordinator with relevant details
such as the names of those involved in the incident. For more information about policies and resources or reporting options, please visit the
following websites: www.gonzaga.edu/eo and www.gonzaga.edu/titleix.
NOTICE TO STUDENTS WITH DISABILITIES/MEDICAL CONDITIONS:
The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for
persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment
that provides reasonable accommodation for their disabilities. If you believe you have a disability/medical condition requiring an accommodation,
please call or visit the Disability Access office (room 208 Foley Library, 509-313-4134).
CLASS ATTENDANCE:
I follow strictly the university's standard policy on absences: the maximum allowable absence is two class hours (100 minutes) for each class credit.
For a three-credit class meeting three times a week, the maximum number of absences allowed is six. For a three-credit class meeting twice a week,
the maximum number of absences allowed is four. The grade for excessive absences is "V", which has the same effect as "F" (Fail) and is counted in the
GPA. (See also "Class Attendance Policy" online catalogue: Absence Policy)
RELIGIOUS ACCOMMODATIONS:
In compliance with Washington State law (RCW 28.10.039), it is the policy of Gonzaga University to reasonably accommodate students who, due to the observance of
religious holidays, expect to be absent or endure a significant hardship during certain days of their academic course or program. The
Policy on Religious
Accommodations for Students describes procedures for students requesting a Religious Accommodation and for faculty responding to such a request.
ACADEMIC HONESTY:
Academic honesty is expected of all Gonzaga University students. Academic dishonesty includes, but is not limited to cheating, plagiarism, and theft.
Any student found guilty of academic dishonesty is subject to disciplinary action, which may include, but is not limited to, (1) a failing grade for
the test or assignment in question, (2) a failing grade for the course, or (3) a recommendation for dismissal from the University. (See also:
"Academic
Honesty" )
COURSE EVALUATION:
At Gonzaga, we take teaching seriously, and we ask our students to evaluate their courses and instructors so that we can provide the best
possible learning experience. In that spirit, we ask students to give us feedback on their classroom experience near the end of the semester.
I will ask you to take a few minutes then to carry out course/instructor evaluation on-line. Please know that I appreciate your participation
in this process. This is a vital part of our efforts at Gonzaga to improve continually our teaching, our academic programs, and our entire
educational effort.
