How to use mathematics to understand and derive concepts related to physics
Modern physics from a mathematical (but intuitive) perspective
How "beautiful" the physical world is if seen with the help of "mathematical lenses"
Both math & physics --> keep an eye on the courses I will share
It depends on the course you want to take. For example, Quantum Field theory requires more advanced math than Special Relativity. The prerequisites are properly addressed in each course.
University students who seek to understand modern physics.
Students who want to understand how to construct a mathematical model starting from real-world phenomena
Check out below some examples of what I share on this website
Software for analyzing price charts (Cryptocurrencies, Stock market, and more)
This software is a Graphical User Interface (GUI) which helps analyze prices and make educated predictions
Mathematical analysis of price charts
Analyze price charts from a screenshot
Analyze price charts from a text file
Analyze price charts from an Excel file
Make educated guesses on future prices
The GUI is user-friendly and it takes a short amount of time to fully understand how to use it. In this regard, I suggest watching the comprehensive video introduction below.
People who want to take advantage of mathematical concepts such as: Fourier Transform, Power Spectral Density, Spectrogram, which are applied to price charts analysis
People who want to make educated guesses on prices
people who want to analyze signals (not just prices), and analyze their spectrum, apply filtering techniques, convert signals to different formats (from JPG to Excel, from txt to Excel, from Excel to txt, from txt to Matlab files, etc)
For more info you can always contact me at: emanuelepesaresi.stem@gmail.com
Computer Simulation of Realistic Mathematical Models
The course: “Computer Simulation of Realistic Mathematical Models” focuses on how to model real-life phenomena, such as: the interaction between prey and predators, evolution of epidemics, distribution of wealth, etc.
How to create and interpret computer simulations of real-life mathematical models using open-source software
How epidemics evolve
How the prey-predator model (or Lotka-Volterra model) explains a variety of real-world phenomena
How the parameters of the model affect results
The only requirement is a basic knowledge of calculus, namely: what functions, derivatives, variables are, some rudimentary knowledge may definitely suffice.
Students who want to understand how to implement mathematical models using open-source software
Students who want to understand how to construct a mathematical model starting from real-world phenomena
Check out below (some of) the positive feedback I received from students:
Useful software for signal analysis enthusiasts and engineers who need to analyze data
This is a GUI that I personally created during my PhD. It can be used in order to process and synthesize signals, aimed at vibration tests, but it could also be adapted to other purposes (signal processing). Software of this kind can be expensive if purchased from companies that work in the field of vibration tests.