- Artificial Intelligence
- The Hopfield Network*:
An introduction to the Hopfield Model, its aesthetic, and connection to human memory.
- Computer Science
- Quantum Information Theory*:
A linear algebraic approach to quantum information theory. Hence, a solid background in linear algebra and exposure to quantum mechanics are necessary.
- Measure Theory*:
- Game Theory:
Some familiarity with analysis is presupposed. The purpose is to provide enough background in measure theory to enter a PhD-level course in probability that would cover topics such as Martingales, Markov Processes, Brownian Motion, 0-1 laws, branching processes, and ergodic theory.
An overview of common games and their structure in game theory.
- Quantum Mechanics I*:
- Hodgkin-Huxley Model:
Topics: Schrodinger wave equation, interpretation of the wave function, the state vector, Hilbert space, Dirac notation, Heisenberg uncertainty principle, one-dimensional quantum problems, tunneling, the harmonic oscillator, three-dimensional quantum problems, angular momentum, the hydrogen atom, spin, and angular momentum addition.
An exploration into the H-H model using tools from Bifurcation theory and nonlinear dynamics.
- RESTful APIs: Architecture, Construction, and Implementation
- iOS Development with Swift 3