Welcome to Week 4 of "Analytic Combinatorics." This week, our purpose is to illustrate the ease of applying the deep analytic results of the previous lecture, by showing how asymptotic results can be derived with a simple calculation for many of the combinatorial classes that we introduced in Lectures 1 and 2. ---------- Lecture 5: Applications of Rational and Meromorphic Asymptotics. We consider applications of the general transfer theorem of the previous lecture to many of the classic combinatorial classes that we encountered in Lectures 1 and 2. Then we consider a universal law that gives asymptotics for a broad swath of combinatorial classes built with the sequence construction. ---------- Your assignment for this week, due at 11:59PM on Thursday, April 14, 2022 is to write up and submit solutions to Web Exercises V.1, V.2 and V.5 on the "Analytic Combinatorics" booksite. As usual, submit a potential exam question on the week's material. Submit files named "AC4-Q1.pdf" "AC4-Q2.pdf" "AC4-Q3.pdf" "AC4-QQ.pdf" RS