Math
265H Fall 2022
Instructor: Alex Iosevich
Office: Hylan 909
email: iosevich@math.rochester.edu
Office Hours: 2-3 p.m. MW and by appointment
Textbook: Principles of Mathematical Analysis, by Walter
Rudin
Grading: Journal (%10), Homework (%20), Two exams (%20
each), and Final (%30).
Structure of the class:
This is going to be a highly interactive class. Notes will be
prepared and distributed ahead of time. Some of the time in class
will be dedicated to lecturing and the rest will be spent in small
interactive groups designed to grasp the salient features of the
proofs and examples in real time.
Structure of the exams and the final:
Each exam is going to consist of five problems. The first two
problems will be medium level theorems directly from book or the
homework, possibly stated in a slightly different notation. Getting
a perfect score on such problem is purely a matter of diligence. The
third problem will be a slight variant of a more difficult result
from the book or homework. The fourth and fifth problem will be
designed to test how well you can prove results that are based on
combining ideas and techniques from theorems proved in class and
assigned on the homework.
Expectations:
i) The students will be expected to come to each class prepared.
What this means is that on any given day, I expect the students to know
and understand the proofs and examples that were covered
in class up to that point.
ii) The students are expected to keep a journal (worth %10 of the
grade in the class) where they briefly describe the material they
looked at on that day, how much time they spent on class material,
the difficulties they experienced, and how they ultimately resolved
them.
Homework:
Homework
#1:
Homework
#2:
Homework
#3:
Homework
#4:
Homework
#5:
Homework
#6:
Homework
#7:
Homework
#8:
Homework
#9:
Homework
#10:
Homework
#11:
Homework
#12:
Lecture Notes:
2022-08-31
2022-09-07
2022-09-12
2022-09-14
2022-09-19
2022-09-21
2022-10-03
2022-10-05
2022-10-12
2022-10-17
2022-10-19
2022-10-24
2022-10-26
2022-10-31
2022-11-02
2022-11-07
2022-11-16
2022-11-21
2022-11-28
2022-11-30
2022-12-07
2022-12-12