This video is Lecture 01 for PS 398 [Strategic International Relations] at the University of Illinois at Urbana-Champaign, and it covers some introductory topics in sets, functions, and logic.

TIMESTAMPS
0:00:00 buffering
0:00:35 hey everybody
0:09:36 roadmap for the lecture

THE A BLOCK | statements
0:12:55 swoosh
0:13:15 definitions
0:19:25 what’s an operator
0:19:50 “not”
0:22:54 “and”
0:24:32 “or”
0:28:00 “if-then”
0:34:16 “if-and-only-if”
0:37:00 “for all”
0:39:05 “there exists”

THE B BLOCK | sets
0:42:15 swoosh
0:42:47 definitions
0:45:26 writing out sets
0:46:11 roster notation
0:49:45 set-builder notation
0:52:27 some common sets
0:55:16 what’s an operator
0:56:48 set intersection
0:58:12 set union
0:58:57 set complement
0:59:29 set product
1:02:29 subset

THE C BLOCK | functions
1:05:15 swoosh
1:05:35 an introductory example
1:08:22 preview of coming attractions
1:10:26 two rules for functions
1:11:53 special functions

WRAPPING UP
1:14:12 swoosh
1:16:53 a provocative thought