Horrible first year GPA...really need advice and study tips

“You did well enough except for the two math courses.”

That is my opinion also.

“… and will the better grade replace the old grade or be averaged in?”

My concern was not about having a C and a D on the transcript. My concern was for having the background to take the next course. If the OP catches up on algebra and pre-calculus and calculus over the summer, then he can start getting better grades next year in other courses.