Engineering Mathematics B3a

Overview

Credits points: 9

Workload:
75 hours course attendance; 195 hours self-study

Semester:
summer and winter

Language: English

Module type: compulsory

Module usability: M.Sc. Electrical Communication Engineering, M.Sc. Functional Safety Engineering

Module duration: one semester

Required qualifications:
undergraduate math (linear algebra, calculus, probability, random variables)

Using mathematical frameworks in view of design objectives based on quantitative system specifications

Simulating and validating communication systems

Making deterministic and statistical inference

Fundamentals of linear algebra, basics in probability and statistics
Generalized functions and linear systems
Fourier transforms and Shannon-Kotelnikov (sampling) theorem
Bounded-input bounded-output stability in time-discrete linear time-invariant systems
Probability, stochastic processes, stationary processes and the central limit theorem
System description based on linear / non-linear operators (deterministic andstochastic)
System design and simulation using numerical methods
Monte-Carlo simulations
Single-/multi-variable calculus
Ordinary and partial differential equations
Optimization problems

Formulation of deterministic and stochastic mathematical models for systems and algorithms using linear and non-linear operators
Interpreting functions as elements of Hilbert spaces
Recap of undergraduate math topics