Mathematics Department

MATH 322/422 - FUNDAMENTALS OF ANALYSIS II (SPRING 2022))

GENERAL INFORMATION

• Class # 1352/1354 meets MW 12:45-2:00PM in Kent Hale Smith 119 (when not in the remote mode). See Canvas for links when remote (tentatively the first two weeks of the semester).
• Instructor: Stanislaw J. Szarek (pronounced 'Shareck', more or less)
• Office: Yost 332
• Office hours: Tuesdays 1:30-2:30 pm and Fridays 2-3 pm (provisional schedule for the first two weeks) via Zoom, see Canvas for links.
• Phone: 216-368-2913
• E-mail: szarek AT case.edu Asking questions by e-mail is particularly 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/MATH322/
• Prerequisite: MATH 321. Graduate students registering at the 400 level will be presumed to satisfy the prerequisites and given permissions to enroll on request, but this does not relieve them from having to know the material.
• Primary text: "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 text: "A First Course in Analysis" by J. B. Conway (2018) ISBN-13: 978-1107173149

COURSE CONTENT, STRUCTURE & GRADES

The course: This is the second 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.
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 (in 321 and 322): Chapters 1 through 11 in "Elementary Real Analysis" and a selection of topics from Chapters 12 and 13. For information, last fall in MATH 321 we (mostly) covered the material through section 7.7; if you are joining us this semester, you need to make sure that you are familiar with it. More details can be found on the MATH 321 assignments page. Several handouts from last semester will be posted on Canvas in the Modules area.

Grades and Exams: Your Final Grade in the course will be based on Attendance/Homework/Class Participation (30%), Midterms (40%; one in late February and another in early April) and the Final Exam (30%; 5/4/2022, Wednesday May 4, 8:30-11 am; location TBA, but most likely the usual classroom). 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.

Assigments etc: Regularly updated assignments, exam dates and such will be posted here and on Canvas, where scores, 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 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 will 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.