Monte Carlo Methods Courses and Certifications

Derivatives

Price derivatives in discrete and continuous time: payoff replication, state prices and risk-neutral probabilities, Itô's lemma, fixed income products, and Monte Carlo option pricing.

• Coursera
• 5 weeks, 2 hours a week
• Self-Paced
• Paid Course

Computational Data Science in Physics III

Simulate physics processes: solve numerical differential equations, run Monte Carlo and finite element simulations, and apply physics-informed machine learning to lattice models like the Ising model.

• MITx Online
• 7 weeks, 10-15 hours/week
• Self-Paced
• Free Online Course

Atomistic Computer Modeling of Materials (SMA 5107)

Model and predict real materials properties through atomistic simulation: classical potentials, density functional theory, molecular dynamics, Monte Carlo sampling, free energies, and coarse-grained mesoscale models.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Numerical Methods Applied to Chemical Engineering

Apply numerical methods to chemical engineering problems: eigenvalues and SVD, Newton-Raphson solvers, ODE/DAE and PDE integration, constrained optimization, Monte Carlo, and stochastic chemical kinetics.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Probability Theory

12 ratings at edX

This course provides an introduction to probability theory. You will encounter discrete and continuous random variables and learn in which situations they appear, what their properties are and how the

• edX
• 6 weeks, 4-6 hours a week
• Self-Paced
• Free Online Course (Audit)

QMCPACK

Force-Free Identification of Minimum-Energy Pathways and Transition States Using Quantum Monte Carlo Methods

Explore force-free quantum Monte Carlo methods for identifying minimum-energy pathways and transition states in chemical reactions and material transformations.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

QMCPACK

Accurate Electronic and Magnetic Properties of 2D Materials Using Quantum Monte Carlo Methods

Explore quantum Monte Carlo methods for precise electronic and magnetic property calculations in 2D materials with Daniel Wines from NIST.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

IIT Guwahati;  NPTEL

Simulation Of Communication Systems Using Matlab

Model stochastic communication systems in MATLAB using Monte Carlo methods, from AWGN and fading channels to MIMO, queueing, and optimal filtering.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

IIT Roorkee;  NPTEL

Introduction to Polymer Physics

Explore polymer structure, dynamics, and rheology through statistical-mechanical theories and Monte Carlo, Brownian, and molecular-dynamics simulations.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

IIT Guwahati;  NPTEL

Reliability-Based Structural Design

Learn reliability methods for structural design, including FORM, SORM, Monte Carlo simulation, surrogate modeling, and code calibration.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

CodeEmporium

Reinforcement Learning 101

Discover the fundamentals of reinforcement learning through multi-armed bandits, Q-learning, deep Q-networks, and policy optimization techniques used in modern AI systems.

• YouTube
• 2 hours 4 minutes
• Self-Paced
• Free Video

3Blue1Brown

The Math of Phase Change - Deriving the Boltzmann Formula and Defining Temperature

Explore the mathematical foundations of phase transitions through Boltzmann formulas, temperature definitions, and liquid-vapor simulations with interactive modeling.

• YouTube
• 41 minutes
• Self-Paced
• Free Video

NPTEL;  IIT Roorkee

Advanced Thermodynamics and Molecular Simulations

A physics-based treatment of thermodynamics develops statistical-mechanical foundations for Monte Carlo and molecular dynamics simulations.

• YouTube
• 1 day 10 hours
• Self-Paced
• Free Video

NPTEL;  IISc Bangalore

Stochastic Structural Dynamics

Analyze how random wind and earthquake loads propagate uncertainty through vibrating structures using stochastic dynamics, reliability analysis, and Monte Carlo simulation.

• YouTube
• 1 day 13 hours
• Self-Paced
• Free Video

Complexity Explorer

Fundamentals of Machine Learning

Explore machine learning types, supervised learning geometry, neural networks, and AI game applications through practical examples and advanced concepts.

• YouTube
• 1 hour 35 minutes
• Self-Paced
• Free Video