What direction of training to choose?

Question

IT education

Good afternoon. I am currently in my second year of Masters in Software Engineering. I really want to transfer / enroll again, because I’m not satisfied with the training program (I graduated from a bachelor’s degree in a natural science direction that is not related to IT, which is probably why I made a mistake with the choice of direction) . Unfortunately, we do not have mathematics (there was a subject related to data mining, but its quality was 0) , as such, computer science too, all we do is study systems analysis, object-oriented design, UML, patterns, and hateful to me ontology (artificial intelligence systems) . We have only 4 z.e. in machine learning, but practically nothing is taught on it.

I would like to choose a specialty more related to mathematics, my desire to become a "universal soldier", to get a more general education in mathematics and computer science, which will cover many aspects of the field, so that in the future there would be no problems with changing specialty.
PS. I am interested in mathematical modeling, methods of computational mathematics, algorithms, data analysis in the natural sciences, AI, including machine learning

. So far, I am considering the areas of training "applied mathematics and computer science" and "mathematics and computer science". Tell me, please, what will be the fundamental difference between "applied mathematics and computer science" and "mathematics and computer science"? Maybe you know good universities in Russia,(where there really is mathematics) in which it is really possible for an average student to enter / transfer (considering my non-core bachelor's degree, I definitely won’t get into the HSE and similar universities :D)
PS. It would also be nice if the university will have the opportunity to continue their postgraduate studies in mathematics.

Briefly: I am not satisfied with the training profile, I am looking for a direction in which there will be more mathematics, computer science and less development, there are no such training programs at my university, so I am also looking for a university.

Thank you very much for reading

Answer 1

When choosing a field of study, you should have read such documents as:
- Educational standard of the field of study.
Inside you will find a list of competencies and a curriculum that lists the list of disciplines and workload.
If you do not know what a particular discipline is, then look for a document such as the work program of the discipline. Inside are links to competencies and workload, as well as a list of class topics and possibly a list of exam questions.
Each university is required to post the first document on its website (more precisely, it is taken from a ministerial sample), and the second should at least be available to students in authorized access, but sometimes it is also posted in the open.
So there is no problem of comparing NPs, you just need to choose an attractive name for NPs and download documents, and already see what disciplines are there, which ones are more by hours, which ones are less.
This is your independent work, it must be done before admission.