/lit/ - Literature

I want to apply to a school of letters which is certainly the most reputable in my country, in the department of philosophy, because it reserves places on file for students who cannot participate in the competitive examinations which form the main way of integration and which are not accessible to me.
To apply, I have to submit a motivated research project, a letter of motivation, a CV, and my transcripts from higher education.
I am able to compose a research project and a cover letter that I assume will interest the reviewers, but the main problem is that I have only studied physics and mathematics academically, so my CV might seem very empty in relation to what I am applying for.
I was wondering if I could lie on my resume by claiming to have taken classes in my school's humanities and history classes when I have never taken any classes other than those assigned to me. I doubt that self-directed learning will be satisfactory to reviewers. I'm also considering inventing a participation in the life of an intellectual and poetic organization in my city when I've only sent in a few poems to participate in a poetry contest they hold annually.
Does anyone have any experience or advice on the subject?