Maths and crisis

• Algebraic prerequisites
• Real numbers, Complex numbers, Matrix algebra,…
• Mathematical functions
• Properties of mathematical functions
• Continuity
• Differentiability
• Mathematical equations
  • Linear equations
  • Differential equations
• The basic principles of mathematical logic
  • First order logic
  • Deduction systems
  • Meta logic
  • Probability theory

Digital chaos


Random processes: natural and digital random processes Brownian movements, the digital randomizer

Infinity

Different versions of infinity: Countable overcountible sets e.g. Cantor sets Self similarity Sierpinski triangle Chaos theory The linear fake model

The artificial dream

Introduction into Artificial Intelligence Short overview of history Definition and the Turing test Hilberts program Gödel’s theorem The artificial brain Emotive computing Quantum mechanics and Artificial Intelligence

Mathematical modeling

Basic principles of mathematical modeling

Hypothesis testing Error manipulation Predictive modeling Linear modeling with example Outliers and instability

Overview of different mathematical models Multilinear regression models Polynomial regression models Hazard models General linear models Times series analysis …
 The curse of non linearity
 The curse of assumptions Normality Linearity Distributional assumptions

Mathematical models of ecological systems
 Introduction into biostatistics The outlier problem Rare events Recursive patterns Linearization Risk modeling Maths and ecological policy

Mathematical models of economical systems
 Godel’s theorem in a capitalist world Loan systems The monetary hyperspace Capitalism and infity Introduction into econometric modeling Linearization Politics of complexity