That's kind of my point - they could have tested me easily by giving me some problems from a previous final, or anything else, or even talking to me for five minutes, but instead they chose the path of petty legalism by assuming since the syllabus didn't agree with their's 100%, the only way to guarantee I knew the material was to make to pay to retake the entire sequence.
I failed to mention I'd also already spent three years as a physics major and had already taken classical mechanics, electrodynamics, and quantum mechanics - so being told to retake the intro physics sequence was quite silly indeed.