By Tamuraj

• 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

• 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

• 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

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

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

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