Let me give you a few thoughts (which might be slightly off-topic) from a professor's perspective:
- I usually design my courses in a way that the average student has a significant work load to keep up with the topic without frustrating them. (with 'average' I mean what I think the average student should be able to do after finishing the class - so this is a bit biased and independent of the actual students in my class)
- This leads to the situation that there is about 20% which keep up with (more or less) ease (I try to give them some extre assignments which are usually to hard for the rest of the course), ~50% are doing more or less fine (they have to work hard, but come along), and ~30% are having a very hard time.
- The ones which are having hard time are usully not having the required pre-requisites for the course (I talk to each of them and try to find out which problems they are having), this could be they dont have the knowledge and skills needed, but some have problems organizing their daily life etc.
Depending on the group you are in (I know, it's very rough classification and might not be helpful in your case), you can follow different strategies:
- If you are usually among the top performers in your class, you just might have some misconceptions which prevent you from putting the topics in the right part of your brain. I'd suggest talking to your adviser or your professor about this. They can help to disentangle your thoughts.
- If you are in the "average" group, you are the core audience of the class. Your professor should be interested in getting feedback about speed and perception of the content, but you must decide by yourself whether they are interested or not. If they seem to be open, I would suggest talking to your adviser and ask him about additional material or whether s(he) can recommend a tutor.
- If you feel you are missing some pre-requisites, you should clearly identify for your self, what you are missing. Try to get this first, even if it's not part of the course or you already shoul be knowing it. If you skip this opportunity kow, life will only become harder. After you know what you are missing, try to find appropriate ressources to learn thos skills (online courses, personal coaching, taking a class again, whatever). Additional tutoring will not help as long as your brain is not ready for the topic (unless the tutor helps you with getting this knowledge and skills).
In general, I assume that my studnets are working in groups. Many assingments are very hard to complete for one person, you often need discussion about the topics. One thought gives the other and having a group of peers working on the seem topics is very helpful. If you are learning alone at the moment, try to find some peers and team up with them. It is optimal if they are a bit better than you, but the most important thing is to talk about the course content and try to find different approaches to understand it. Tackle the problems from different directions and see which one is the best for you. That's the real skill you are learning when you are studying.
I personally regard taking a tutor as a last resort, but that's a bit opinion based. A good tuutor is a coach helping you with the things described above (which is great, go, get one!), a bad tutor tries to think for you and focuses only on the course topic which is at hand. You won't learn much.
And coming to the question whether it is ok to ask a faculty member: It depends! You can not ask someone who is actually involed in the course (directly or indirectly), otherwise one could argue that the course is intentionally to hard and the faculty members are doing side business by helping the studnts to succeed. This would really be unethical (end even if it is not the case, it might look like this to an outsider).
If you can find someone, who is not involved in the course, and (s)he is willing to do it, I see no problem, unless there are no rivalries between your professor and the person. Still, I would prefer someone from a different institution since teaching students should be their main job, anyway. I personally would not take any students for private tutorship.
I hope this helps a bit.