This is for the short course given at Mathematical Sciences Center at Tsinghua University (November 16, 2011 – December 30, 2011). The talks are based on the textbook "The probabilistic method" (3rd edition) by Noga Alon and Joel H. Spencer, publisher: Wiley, 2008. The slides are only served as the guildlines of lectures (1:00p.m.-2:45p.m.) on the specified days.

• Lecture 1, 11/16/2011.
• Lecture 2, 11/18/2011.
• Lecture 3, 11/23/2011.
• Lecture 4, 11/25/2011.
• Lecture 5, 11/30/2011.
• Lecture 6, 12/2/2011.
• Lecture 7, 12/7/2011.
• Lecture 8, 12/9/2011.
• Lecture 9, 12/14/2011.
• Lecture 10, 12/16/2011.
• Lecture 11, 12/21/2011.
• Lecture 12, 12/23/2011.
• Lecture 13, 12/28/2011.
• Lecture 14, 12/30/2011.