Jamie's answer is perfectly correct, but in my mind there isn't much difference - they are different forms of the same thing. Either way there is an "expectation" that something will occur. I expect to receive a gift from John I expect to receive a call from Lucy I expect John will give Lucy a call soon She is expecting a baby soon I expected he would know the difference The client is expecting us to have this work complete tomorrow

Expect sb = wait for somebody. I expect her at 6pm = she should be coming at 6pm. Expect sthg from somebody = you asked them for something, and you are waiting for them to give it to you. "I expect an email from John at 6" means "John should be sending me an email at 6" Hope this helps - I will make it more clear if you need me to!