A lecturer is hard to understand, what to do? I have a lecturer at university that I find very hard to understand. My lectures are taught in English, but my lecturer is of East Asian origin, and English is not his first language.

I find the lectures incredibly hard to follow, just trying to understand what is being said requires a substantial effort, and I find the material is challenging in any case.

There is no textbook for the course, but we are given printouts of the lecture slides that are used in the lectures (six to each side of an A4 page). While the lecture slides do contain the material, they don't explain it like a good lecturer would.

I've spoken to my tutor about the course, telling him that I find it very hard to follow the lecturers. Many of my peers feel a similar way to how I do.

Finally, let me point out that I bear the lecturer no ill will; I just want to do well on the course.
As a lecturer in Asia, I appreciate what you are saying. I have some colleagues who are Asian who are quite clear when they speak English and others with whom I require a minute or two to even recognize when they are speaking English because their accent is so strong. You have to work with what you've got.

While you could confront your lecturer, as snim2 said in an answer, you need to be delicate about this. The lecturer could find you condescending or insulting. Even if the lecturer does not think you are being purposefully hurtful, making a lecturer self-conscious about his accent might make him an even worse lecturer (of course, it could help, depending on his personality).

I would recommend talking to the lecturer and simply say something like this: Hi teacher, I'm finding it necessary to read more about this topic in order to do well in your class. Could you point me in the direction of some reading material that I can use to improve my understanding of your subject? (then stop talking)

Once you have the reading materials, focus your learning there, perhaps with some genuine emails to your lecturer, if he allows.

Even the lecturers I've met with horrible English will happily go out of their way to find some material for you to read. Either they will recommend a textbook, some articles, or they will have some material they have collected on their own. I don't believe I have ever met a university lecturer who would be offended by this approach nor have I met one who would not support a student with such a request.