I know that the following question may not be appropriate for this forum but please do hear me out.
I apologize in advance for the length of this post.
Due to the unfolding of certain events in my life i ended up doing a bachelors in Electrical Engineering but my interest always lied in Mathematics however due to certain complications i could not switch my Major and ended up being quite miserable. I still wish to learn and not waste the small window i have left to have a respectable career in Mathematics.
Therefore I would highly appreciate it if the many users of MSE could suggest a FIRST YEAR UNDERGRADUATE MATHEMATICS CURRICULUM for someone like me, to make it easier for you to answer i have outlined (briefly) below my current background and the things that i have tried to learn on my own.
- I have covered the typical Mathematics Course for engineers that involve Single and Multi-variable Calculus,Linear Algebra,Differential Equations,Complex Variables and Transforms etc.
NOTE PLEASE THAT IN ALL OF THE ABOVE COURSES THERE WAS NO EMPHASIS ON RIGOROUS PROOFS WHAT SO EVER.
- I have largely covered How to Prove it by Daniel J Velleman and have gotten comfortable with the idea of a proof and how to construct elementary proofs.
- I am currently working my way through Linear Algera Done Right by Sheldon Axler albeit with some difficulty in the later Chapters.
furthermore i know that there are very good source out there such as MIT-OCW, Quant Academy etc. that would could serve as adequate guides, but having seen how useful MSE has been for me in these $8+$ months I am hopeful for an answer more suited to my needs.