I was invited to teach an art workshop in Beijing. Afterwards, I will travel as a tourist in Guilin.

Since I will be in China for 11 days and only be working for three days of those days, should I apply for a tourist visa?

My wife is coming with me. We will both arrive in Beijing on July 24 and then want to fly about 3 hours to Guilin for some tours before returning on Aug 3 and flying out of Beijing on Aug 4. Do we need a visa for both Beijing and Guilin or just for Beijing?