Unfortunately, there are so many mistakes in the sentences, it is not just about the two words you are asking for. *In case of fire, do not use the lift.* (=if a fire happens) *You didn't do your homework? In that case, you can't watch TV.* (=since you didn't do your homework) "In the case" is used rarely, and refers to KNOWN options. E.g. it might rain or it might not rain. In the case that it rains, we stay indoors. In the case that it doesn't rain, we go outdoors. PS. You might want to work a lot harder at your grammar.

You were taught correctly, but I would like to correct your examples for other grammatical reasons: In case that my house my catch fire we should put fire-fighting equipment in and around the house. In the case that you are not already prepared for my class, please study so that you become so.

Hi, You are correct that "in case" means "if this happens" and "in the case of" means in a certain situation. However, you might want to revise your sentences as the way you used these phrases in the sentences is not accurate. For example: 1. In case you arrive before me, please wait in the parking lot until I arrive. 2. In the case of an economic crisis, many people will lose their jobs. Take Care

in case is 假使，万一 in the case is 在.....情况下