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This lecture covers the computational methods used to describe the properties of molecular systems at finite temperature. It includes stochastic sampling methods (Monte Carlo Simulations) and time evolution simulations (Molecular Dynamics Simulations). The lecture emphasizes the importance of considering finite temperature effects, kinetic energy, and free energy in predicting molecular properties. Practical exercises involve applying these methods to theoretical and practical problems, ranging from coding to performing simulations. The course provides insight into statistical mechanics, molecular simulations, and basic concepts. The lecture materials are based on various textbooks and tutorials from the University of Amsterdam.