Lectures related to Edo period

Markov Chains: State Classification

Covers the classification of states in discrete-time Markov chains and explores the concept of periodicity.

Numerical Analysis of Differential Equations

Covers the numerical analysis of differential equations, focusing on methods and stability conditions.

Stability of Euler Methods: Examples

Explores the stability of progressive and retrograde Euler methods in numerical simulations.

Real Functions: Definitions and Properties

Explores real functions, covering parity, periodicity, and polynomial functions.

Markov Chains: State Classification

Covers the classification of states in discrete-time Markov chains.

Fourier Transform: Inversion Formula

Explores the Fourier Transform inversion formula and its applications in signal processing.

Quantum Algorithms: Shor Algorithm

Covers the analysis of measurements in the context of the Shor algorithm.

Gravitational Forces

Covers advanced physics topics related to gravitational forces and Johannes Kepler's contributions to understanding planetary motion.

Introduction: Course syllabus

Introduces the course syllabus, grading scheme, and classical and quantum computation models.

Markov Chains: Theory and Applications

Covers the theory and applications of Markov chains in modeling random phenomena and decision-making under uncertainty.

Convergence: Euler's Method

Explores stability and convergence in numerical methods for ODEs, focusing on Euler's progressive method.

Shor Algorithm: Quantum Factorization

Covers the Shor algorithm for quantum factorization using tensor methods and graded solutions.

Shor Algorithm: Period Finding

Covers the Shor Algorithm for period finding and its application in factorization, discussing the circuit implementation and measurement outcomes.

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Shor Algorithm: Quantum Factorization

Explores the Shor algorithm for quantum factorization and its application in finding function periods.

Material Flow Analysis: Modeling and Visualization

Introduces intermediate MFA project presentations, STAN and UMBERTO software, material stocks, building typologies, and urban mining flows.

Differential Equations: Solutions and Uniqueness

Explores differentiability, continuity, solutions, and uniqueness in differential equations, emphasizing well-posed problems and real-world applications.

Launching New Ventures - Growing & Scaling

Covers growth metrics, pivoting, scaling, and team growth in technology-driven startups.

Real Functions of Real Variables: Properties and Domains

Covers the properties of real functions, domains, and types of functions, including periodicity.

Systems of Differential Equations

Covers the solution of a 2x2 system of differential equations using matrix notation and explores stability methods and specific cases.