Lecture notes
Below you will find my lecture notes for some of the courses I have taught at the Department of Mathematics of Middle East Technical University.
- MATH 119 Calculus with Analytic Geometry
Lecture notes for a course I taught during Spring 2020 - MATH 320 Set Theory
Lecture notes for a course I teach regularly - MATH 320 Set Theory
These are the hand-written notes of the live lectures from Spring 2021. They (mostly) follow the LaTeXed lecture notes that are linked above. - MATH349 Introduction to Mathematical Analysis
These are the hand-written lecture notes from Fall 2023 taken by Atakan Erdem - MATH 452 Introduction to Functional Analysis
Lecture notes for a course I taught during Fall 2021 - MATH 501 Analysis
Lecture notes for a course I taught during Fall 2019 - MATH 535 Topology
Lecture notes for a course I taught during Fall 2020
Below you will find my lecture notes for some of the courses I have taught at the Nesin Mathematics Village.
- An Introduction to Infinitary Combinatorics
Lecture notes of a course I taught during Summer 2017. - Paradoxical decompositions: The Banach-Tarski paradox and others
Lecture notes of a course I taught during Summer 2018. - Ultrafilters and how to use them (Incomplete at the moment.)
Lecture notes of a course I taught during Summer 2019.
Lecture videos
- I have contributed and will contribute to METU OpenCourseWare project. You may find some video lectures of mine at the official YouTube channel of this project.
- I also recorded some of my lectures, as a part of online lectures that are held during the COVID-19 crisis in 2020. You can reach the YouTube playlists of MATH 119 (Spring 2020) from this link and MATH406 (Spring 2020) from this link.
- During Fall 2020, Spring 2021 and Fall 2021, I also recorded videos of my live lectures over Zoom. However, these video recordings are only available to the students who took these courses, mainly due to privacy concerns. If you are one of these students and want to rewatch these lecture videos, please visit the relevant ODTU Class page to access these recordings or contact me over e-mail.
Slides and videos of talks for undergraduate students and general audience
Since I started working at METU, I have been being asked to give popular and semi-popular talks by various student clubs and societies. Here are the slides and videos of some these talks:
- Gödel’s incompleteness theorem for mathematicians
Slides of a seminar organized by METU Math Club. - A gentle introduction to non-standard analysis
Slides of a talk for a workshop organized by METU Math Club. - Sonlu ötesi sayılara bir yolculuk ve sonsuzların hiyerarşisi (in Turkish)
Slides of a talk for 3. ODTÜ Bilim Günleri. - Borel kromatik sayısı (in Turkish)
Video recording of a seminar organized by METU Math Club. - Tıkızlık teoremi ve uygulamaları (in Turkish)
Video recording of an online seminar organized by METU Math Club. - Cebirsel kapalı gruplar ve genellemeleri (in Turkish)
Video recording of an online seminar for a workshop organized by Türkiye Matematik Kulübü. - Eğrileri anlamak (in Turkish)
Slides of a seminar organized by ALKEV Özel Okulları. - Betimsel kümeler kuramı, tanımlanabilir inşalar ve çizgeler (in Turkish)
Slides of a seminar organized by BOÜN Matematik Topluluğu - Video Podcast Serisi: John von Neumann
Video recording of a podcast organized by ODTÜ - Video Podcast Serisi: Kurt Gödel
Video recording of a podcast organized by ODTÜ - Sonluötesi sayılar, Hidra oyunu ve Goodstein teoremi
Slides of a seminar organized by HÜMDAT
Past exams
Below you will find past exams of some of the courses that I taught.
- MATH349, Fall 2023
Midterm 1, Midterm 2, Midterm 3, Final. - MATH320, Spring 2023
Take-Home Exam I, Take-Home Exam II, Final. - MATH501, Fall 2022
Midterm, Final. For homework assignments, I used the same problem sets from Fall 2020. - MATH779, Spring 2022
Midterm, Final. - MATH406, Fall 2021
Midterm 1, Midterm 2, Final, Bonus Take-Home. - MATH452, Fall 2021
Midterm 1, Midterm 2, Final. - MATH320, Spring 2021
Take-Home Exam I, Take-Home Exam II, Final. - MATH535, Fall 2020
Homework I, Homework II, Homework III, Homework IV, Homework V, Final Take-Home. - MATH406, Spring 2020
Take-Home Exam I, Take-Home Exam II, Final Take-Home. - MATH501, Fall 2020
Homework I, Homework II, Homework III, Homework IV, Homework V, Homework VI, Homework VII, Midterm, Final. - MATH111, Fall 2019
Midterm 1, Midterm 2, Midterm 3, Final. - MATH320 Spring 2019
Midterm 1, Midterm 2, Final. - MATH116 Spring 2019
Midterm 1, Midterm 2, Midterm 3, Final. - MATH111 Fall 2018
Midterm 1, Midterm 2, Midterm 3, Midterm 4, Final. - MATH320 Spring 2018
Midterm 1, Midterm 2, Final. - MATH319 Fall 2017
Midterm 1, Midterm 2, Midterm 3, Final, Take-Home. - MATH320 Spring 2017
Midterm 1, Midterm 2, Final.