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.