Essential Math Prerequisites for Applied Cryptography

The essential math prerequisites modules for learning applied cryptography are:

1. Number theory: This covers topics such as modular arithmetic, prime numbers, and cryptography algorithms like RSA and Diffie-Hellman.

2. Algebra: This covers topics such as groups, rings, and fields, which are used in cryptographic protocols like elliptic curve cryptography.

3. Probability theory: This covers topics such as random variables, probability distributions, and statistical inference, which are used in analyzing the security of cryptographic protocols.

4. Calculus: This covers topics such as limits, derivatives, and integrals, which are used in analyzing the efficiency of cryptographic algorithms.

5. Linear algebra: This covers topics such as matrices, vectors, and linear transformations, which are used in cryptographic protocols like AES.

6. Discrete mathematics: This covers topics such as graph theory, combinatorics, and logic, which are used in designing and analyzing cryptographic protocols.