Lecture 21

Learning objectives

After this class, you should be able to:

1. Solve mutual recurrences, using generating functions.
2. Evaluate a convolution, using generating functions.

Reading assignment

1. Sec 7.5, example 1.
2. Sec 7.5, example 4.

Exercises and review questions

• Questions on current lecture's material
  1. Complete the solution for the mutual recurrence discussed in class.
  2. Solve the following recurrence: u0 = v0 = 0, u1 = v1 = 1, un = un-1 + 3 vn-1, n > 1, vn = un-1 - vn-1, n > 1.
  3. Exercise 7.7.

• Questions on next lecture's material
  1. What is the value of C4?