What Mathematics Does an Information Security Specialist Need?

Question

Mathematics

Hello, please tell me what kind of mathematics you need to study in order to become a good specialist in the field of information security and programming. I found the curriculum of the specialty "Information security of automated systems". Mathematics usually begins in universities from the second year, below I have given a list of disciplines from the curriculum. And so, actually a question: to me it all in a row to study? Or is there too much?
It would not be bad if there were some links to textbooks, so that someone could tell ... What should be studied in what order? What's first?
1) Mathematical analysis
2) Analytical geometry
3) Theoretical computer science
4) Integrals and differential equations
5) Linear algebra and functions of several variables
6) Physics
7) Discrete mathematics
8) Probability theory and mathematical statistics
9) Mathematical foundations of computer science
10) Systems theory and system analysis
11) Mathematical logic and theory of algorithms
12) Fundamentals of control theory
13) Information theory
14) Algorithms and data structures
15) Algebraic systems
16) Theory of decision making in conditions of information conflicts
17) Theoretical foundations of information security of automated systems
18) Detection and recognition of signals
19) Methods and algorithms for protecting non-text information
Thank you in advance.

Answer 1

Math logic and TA (discrete as a base), cryptography, well, the whole vyshmat for the base.
You have indicated many subjects that you will be taught, they are all necessary to varying degrees for the outlook and base, with the help of which you will decide in the direction you are interested in.

Answer 2

What area of ​​information security are you interested in? If you study the disciplines that are listed, it will take you years to master them. But that won't make you safe.
There is a lot of superfluous, determine which area of ​​information security is interesting, and then determine the list of competencies that are needed to become a professional in it.

Answer 3

I think the question is not right.