Mengen und Abbildungen, reelle Funktionen, Folgen, Reihen, Stetigkeit, Differentialrechnung, Integralrechnung, Vektoren, Matrizen und lineare Gleichungssysteme.
Komplexe Zahlen, Differentialgleichungen, Vektorräume und lineare Abbildungen über allgemeinen Körpern, Differential- und Integralrechnung von Funktionen mehrerer Veränderlicher.
Advanced mathematics for science and engineering -- Vector differential and integral calculus. Probability and statistics.
Cryptography -- Fundamentals, encryption scheme and definitions of security, elementary number theory, algebraic structures, block ciphers, stream ciphers, hash functions, message authentication codes, public-key encryption and the RSA cryptosystem, key establishment, digital signatures, elliptic curve cryptography.
IT Security -- Objectives, threats, attacks and controls. Protecting confidentiality, integrity and availability. Defending systems, networks and services. Security management.