Online Course Materials
This page provides access to online lectures, lecture slides, and assignments for use in teaching and learning from the book Analytic Combinatorics. It is appropriate for use by instructors as the basis for a "flipped" class on the subject, or for self-study by individuals.
Each lecture corresponds to a chapter in Analytic Combinatorics, so everyone is encouraged to study the corresponding chapter in conjunction with the lectures. If you view a lecture, you just spend an hour with the material; if you study the lecture slides and solve the assigned problems, you might spend several hours; if you dive into a topic by careful study of the book itself, you might find your self enjoying at least another order of magnitude of engagement with the material.
Flipped Class.If you are an an instructor teaching analytic combinatorics, an effective way for you to teach the material in a typical college class is to adhere to a weekly cadence, as follows:
- Each week, send an e-mail note to all students in the class that briefly describes assignments for that week (lectures, reading, and problem sets). The e-mails used in the Spring 2019 offering at Princeton are accessible in the table below; please feel free to edit them and use them in your own class.
- Students watch the lectures at their own pace, do the reading and work on the problem sets (each lecture ends with a few suggestions for assignments, which instructors typically tailor to their own needs.
- A weekly "class meeting" is scheduled for discussion of the material, reviews for exams, informal interaction with students, and any enrichment material you may wish to cover.
Self-study.An effective way to learn the material on your own is to play the lectures on some regular schedule, do the associated reading, and attempt to solve some of the assigned exercises on your own. If you get stuck on a particular exercise, find some others in the book or on this website, or try to solve some of the problems given in the lectures without looking at the solutions there. In the future, we plan to add more exercises with solutions to this website, but that is work in progress.
While some of the reading material may be difficult for a typical undergraduate to master on such a quick pass through, a substantial fraction of the coverage is elementary, and the lectures provide a firm basis for understanding the key concepts.
Princeton students.At Princeton, we use these materials to teach the second half of our senior-level undergraduate course An Introduction to Analytic Combinatorics (the second half of the course is on the Analysis of Algorithms booksite). Click on the COS 488 tab on the sidebar for logistical details. We update the material as the semester progresses. You can look ahead in the table below to get an idea of what is to come, but assignments are not "official" until you receive them by e-mail.
|WEEKLY ASSIGNMENT||LECTURE VIDEOS||LECTURE SLIDES||Q&A|
0. Introduction (Random Sampling)