Analysis 2

Overview

We’ll study analytic functions, complex integration, conformal mappings, Hilbert spaces, Fourier transfrom and Sobolev spaces.

Instructor

Sevak Mkrtchyan

• Office: Hylan 805
• Office Hours: Thursdays after class (11:00-noon) in Hylan 805, and Mondays 9pm-10pm via zoom (id 881 nine84 3223), e-mail.
• Email: first.last@rochester.edu

Class time and place

9:40am - 10.55m Tuesdays and Thursdays in Meliora 218

Textbook

• L. Ahlfors, “Complex analysis” (3rd edition, chapters 3-6) (this will take us about 2/3 of the course);
• S. Axler, “Measure, integration & real analysis” (chapter 8); A free electronic version, together with an errata and supplement, can be found here.
• F.G. Friedlander and M. Joshi, “Introduction to the theory of distributions” (2nd edition, chapters 8-9).

Grading

Homework

• Will be assigned every week on this webpage on Thursday after class.
• It will be due the following Thursday in Gradescope.
• You are allowed to collaborate with your fellow classmates on homework discussing the problems and ideas, however when it comes to writing down your answers, you must do this on your own, without consulting anyone else’s write-up. You should indicate on your homework with whom you collaborated.

Exams

• One midterm and one final.
• Worth 20% and 30% of the grade respectively.
• The final will be cumulative.

Midterm : Thursday Mar 2, 2023. In class.

Final: Date and Time TBD

Academic Integrity Statement

All assignments and activities associated with this course must be performed in accordance with the University of Rochester’s Academic Honesty Policy. Any violation of academic integrity will be pursued according to the specified procedures.

In this course, on homework, you may collaborate with other students also taking the course. You may also use resources such as office hours and any online learning materials aside from direct solution sets. You may also talk to students outside the class as long as they provide only general guidance and you write up the solutions on your own at the end. In all cases, you must always internalize the work . This means that after finishing the homework, you should be able to reproduce the solution of problems without any help from anyone or the use of outside resources besides the textbook and lecture notes.

For written homework, please write the name of collaborators on the top of the first page of your submission.

During exams, you may not obtain help from anyone else nor use any notes, book or electronic device.

Help

• You should always try to clarify any confusions at the first opportunity. Do not postpone it. The longer you wait the more you will be confused and fall behind. You are highly encouraged to ask questions in class, after class, during office hours and by email.

Disability Support

The University of Rochester respects and welcomes students of all backgrounds and abilities. In the event you encounter any barrier(s) to full participation in this course due to the impact of disability, please contact the Office of Disability Resources. The access coordinators in the Office of Disability Resources can meet with you to discuss the barriers you are experiencing and explain the eligibility process for establishing academic accommodations. You can reach the Office of Disability Resources at: (585) 275-3424; Taylor Hall. Or, visit Disability Resources.

Please note that to be granted alternate testing accommodations, you (the student) must fill out forms with Disability Resources at least seven days before each and every exam. These forms are not sent automatically. Instructors are not responsible for requesting alternative testing accommodations at CETL or making accommodations on their own.