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*Class # 2944/2945 meets MW 2:15-3:30 PM, Sears 325**Instructor:*Stanislaw J. Szarek (pronounced 'Shareck', more or less)*Office:*Yost 332*Office hours*(further details on Canvas, under construction):

Professor : Starting the 3rd week of classes, Mondays 10-11:59 am (generally in-person in Yost 332, with remote option, see Canvas for the Zoom link), or by appointment, or by luck;

TA (tutor) : Wednesday 3:30-5 pm, Thursday 12-2:30 pm (Yost 343, with remote option, see Canvas for the Zoom link) and ad hoc (will be announced separately)

Course Discord server : invitation link, in principle 24/7*Phone:*216-368-2913*E-mail:*szarek AT case.edu Asking questions by e-mail is encouraged, even at strange hours.*WWW Home Page:*http://case.edu/artsci/math/szarek/*Class WWW Page (this page):*http://case.edu/artsci/math/szarek/MATH321/*Prerequisite:*MATH 223 (or MATH 227).*Textbook:*"Elementary Real Analysis" by B. S. Thomson, A. M. Bruckner, and J. B. Bruckner (2nd Edition, 2008) ISBN-13: 978-1434843678, which is available for a free PDF download. Alternatively, a not-so-expensive paperback edition - in one or two volumes - is available via links/pointers posted on the same web page. See also the book's web page, which contains in particular a link to the errata page.-
*Supplementary texts:*"A First Course in Analysis" by J. B. Conway (2018) ISBN-13: 978-1107173149; "Introduction to Real Analysis" by R. G. Bartle and D. R. Sherbert (2011), ISBN-13: 978-0471433316; "Basic Analysis I, Volume 1" by Jiri Lebl, "The Real Analysis Lifesaver: All the Tools You Need to Understand Proofs" by Raffi Grinberg (2017), ISBN-13: 978-0691172934.

**The course:** This is the first course of a two semester sequence
(MATH 321-322) whose object is to teach mathematical
reasoning in the context of analysis in n-dimensional space and which is
required for all mathematics majors. It may also be of interest to all
"mathematically oriented" undergraduates who wish to achieve a higher degree of
understanding of the mathematical tools used in their areas. A parallel
objective is to learn to write in "mathematical prose," so in some ways this
is a course with a substantial writing component.
While the formal prerequisite for the course is only MATH 223 (Multivariate Calculus),
students who did not take any proof-oriented math class
(such as for example MATH 304 or MATH 307)
should consider enrolling in MATH 305 (Introduction to Advanced Mathematics),
which is offered this semester in the TuTh 10-11:15AM time slot.
To help your you establish whether you are ready, take the
self-test that is available on
Canvas in the *Syllabus* area).

The same sequence
is offered as MATH 421-422 to graduate students from departments other than
Mathematics (additional work counting for up to 10% of the grade may be required,
typically an in-class presentation and/or
a written report on an approved topic, and attending presentations made by fellow students).
See also the
Catalog Description.

**Material to be covered: ** Roughly chapters 1 through 8 (the first volume).

**Grades and Exams:** Your Final Grade in the course will be based on
Attendance/Homework/Class Participation (30%),
two Midterms (40%; early October and mid-November) and the Final Exam
(30%; Wed, Dec 21, **8:30-11AM**).
The midterm dates and the weights are tentative (the latter will be
slightly different for students enrolled in MATH 421).
Students with special needs should contact
Division of Student Affairs/Disability Resources.
Please keep in mind that accommodations are not retroactive.

**Assigments etc:** Regularly updated assignments, exam dates and such will be posted
**here**.
There will be also a Canvas site
where solutions, supplementary notes and similar documents will be posted.

**Peer Tutoring**
will be most likely available. Undergraduate CWRU students can schedule up
to five tutoring appointments per week, free of charge, by following the TutorTrac link
on the Student Success Peer Tutoring page. Department-sponsored tutoring will also be at your disposal;
details will be posted here and on Canvas when available.

**Integrity:** It is OK (and indeed encouraged) to discuss homework assignments
with fellow students. However, **any and all** submitted work must be your own.
Merely copying someone else's work is unethical,
a waste of time, and may be penalized.
(This includes copying solutions found on the internet.)
**Any substantive collaboration and/or usage of sources has to be acknowledged.**
See
CWRU academic integrity policy.
Any violation of the policy will be reported to the Dean of Undergraduate Studies and the Office of Student Conduct & Community Standards.

Assignments

Dr. Szarek's Home Page

Math/Stat Undergraduate Courses

Math/Stat Graduate Courses

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