How to prepare for the exam?

Question

Mathematics

Good day!
I set myself the goal of enrolling in a master's program at a technical university in the direction of "Information Systems and Technologies".
The entrance test is a written exam in higher mathematics.
Exam Syllabus:
- Linear Algebra
- Calculus
- Differential Equations
- Discrete Mathematics
- Statistics
- Operations Research
- Game Theory
The fact is that I graduated from a technical university 3 years ago. I didn’t unlearn, but just graduated, because my presence there could not be called a study (and I myself am to blame for this, which I admit with grief). With higher mathematics, there was initially the following problem: in the first year, we came across a spineless, extremely kind teacher who gave fives for free and could write off the exam from the phone right in front of him. If anyone went to his lectures, then to sleep or play cards (yes, there was such chaos). At school, in mathematics, I consistently received either 4 or 5, that is, there were no problems with it. But at the university I relaxed a lot + this teacher spoiled me, and as a result, the year of higher mathematics was lost. In the second year, a turbo-teacher came, which caused the expulsion of many students from the university (+ some of them fled because of him). Naturally, he did not retell the 1st course to us, as a result, those who clapped their ears last year (like me) were forced to learn hitherto unknown sections of mathematics right from 0 (it was as if we were thrown in the middle of the ocean without a life jacket !!! !). As a result, I got out and then decided to forget mathematics, like a bad dream (and in vain!)
Now there is almost no knowledge (everything is forgotten). I started with the school curriculum. I remember that I forgot. But time passes, and therefore, as a professional mathematician, I want to ask if it is possible to master these sections of mathematics listed above without completely repeating the entire school course? I really don't want to waste time. I would like to direct all efforts in the right direction. I would like to do it this year. In principle, until the 9th grade, I remember almost everything. Logarithms and derivatives could be repeated in parallel if necessary.

Answer 1

To study elementary (school) mathematics, try to start with the book by D.K. Faddeeva and I.S. Sominsky "Algebra for Self-Education" , it has 530 pages, it is very detailed and completely covers the entire traditional course of the Soviet normal school in mathematics. Here is a link to it (it will last a month).
When you begin to move on to higher mathematics, you need to master, solving all the tasks, for example, the books of I.A. Kaplan "Practical studies in higher mathematics" , in 5 parts ( they are here, in general I recommend this site) - also very detailed and with a detailed analysis, designed for the minimum school level. Then it is worth moving on to books by Zel'dovich like "Higher Mathematics for Beginners", etc. I-welcome to any engineering faculty.
You have to read a lot and visit forums, such as dxdy.ru and others.

Answer 2

graduated from a technical university 3 years ago

Why do people study for 4 years at a bachelor's degree, when you can enter in less than a year ...
If you want to enter a normal university (where a diploma is really worth something), then a year is not enough for you to pass the above program.
Well, by the way, if you want to prepare cleanly, but you really don’t care about understanding (memorized and passed), then buy / download literature and problem books, study every day for several hours.

Answer 3

It can and will be possible to learn from textbooks in a couple of years ... The school course has little overlap with these subjects. At the university, I ran into them, even regretted that I went to the Faculty of Mathematics.