I've yet to go to college, but she sounds loonier than any highschool teacher that I've ever had; I would have felt the same way in your position, and I agree that her assessment of your work was completely off-base and that her twenty-minute shouting down was just plain cruel. Yet in the interest of your emotional health during your year with her, consider the following. (I know that this is long, but I've fought essentially this battle before).
Emotions
Think of how she made you feel--"emasculated"--and think of how that makes her feel: powerful. Imagine her as an emotional vampire who sucks the power from you to but temporarily plug the bottomless pit of insecurity in her heart; every time that she gets a rush out of hurting you, she will view you as an even better bullying target and want to inflict even more pain to get an even bigger rush, ad infinitum until either you or she turn to violence. The only way to escape this escalating spiral is to find your courage and strength and be proactive, either by fighting her now, fighting her later, or making the best of your current situation if neither of the previous two are good options.
And unless you have very good reason to think that she can somehow ruin your academic or professional future (if she does, but only while you are in her class, then wait until you have passed her class to continue with what I describe but secretly collect as much evidence of her misbehavior as you can beforehand) I suggest the former on the grounds that you do not deserve to endure her emotional batterings for even an instant longer than practicality allows and that a sufficient body of evidence could lead to her firing, freeing future generations from her bullying. Yes, that's a hopeful, almost idealistic statement to someone who has just been emotionally beaten down and feels powerless: to succeed in this endeavor, you must maintain the mental discipline to distinguish between your feelings--whatever they may be--and your knowledge of your options for recourse.
Logisitics
Review your college's handbook on recourse regarding mistreatment of students by teachers and try to understand what evidence needs to go where to get the result that you want. Tireseome? Bothersome? Yes, but not nearly so much as being in her class for a year: remind yourself of your goal and set smaller ones as you pore over the tomes.
Meanwhile, avoid unnecessary confrontation with the teacher and try to appear your best even when so doing seems irrational so as to minimize any reason for her to beat you down. If she lashes out at you at length, then look into her eyes with a calm, blank expression and don't look away and don't say a word.
Fighting Now
OK, so you know that you're protected from harm? Good: strike while the iron is hot. You've already figured out the first way to stand up for yourself, which is to correct her understanding of the workloads in your project. Overcoming your bad feelings to be polite and calm in your discussion with her will gain you a temporary respite from her behavior by demonstrating your power and removing the emotional fuel for her aggression. However, she may just lash out again.
In that case, first assemble a written record of what happened during your project, during her lashing out, and during her second lashing out, and then inform her that you will ask her immediate superiors (figure out how to contact them beforehand to minimize the chance of her calling in ahead of you) to resolve the dispute. If she continues to refuse to accept your explanation, then contact her superiors and present your written record (preferably with quotes) to them. Her superiors might ignore your plea. If they do, then do not despair: ask them for their reply in writing and repeat the process with their superiors until you get results. And if even that fails, you have a second way.
Get others to testify against your professor, preferably in writing (with their signature and date) or video. The abuse of one student can be misconstrued as misbehavior; two, as a bad class; three or more, especially with the same story (and corroboration of others' stories!) and doubts about the teacher start getting raised. Ideally, she will at least be reprimanded for her deeds. Hopefully, she will be fired on the spot.
Fighting Later
If fighting now would ruin you, then adhere to paragraph two of "Logisitics" whenever she lashes out and collect the best possible record of her misbehavior while ensuring that you look as good as you can during the post-graduation confrontation, which should proceed as described in paragraphs two and three of "Fighting Now" except without talking to her and with an emphasis on the harm to future students.
Submitting
In this worst-case scenario, adhere to paragraph two of "logistics" and find a confidant to relate your problems to. You're not a coward in this case (provided that you are certain that you cannot redress your grievances) just screwed.
I hope that my advice helps! You're not alone and not powerless, as absurd an idea as that may seem. You can survive this year and perhaps rid your college of a gross malefactor. Find some activity or artwork that inspires and empowers you and keep it around during this rough time.
Good Luck!
-Duxwing
... Unless you think you can get away with it
) 
