By Tamuraj (http://www.tamuraj.com)

• 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
  • Timeseries 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

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