This course combines theory and practice begins with the foundations of machine learning and artificial intelligence in finance, highlighting big data, FinTech, and the shift from traditional econometrics to data-driven models. Early chapters introduce probabilistic modeling, Bayesian vs. frequentist inference, and Gaussian processes for financial prediction and derivative pricing. Students then study neural networks, feedforward, Bayesian, and deep learning, alongside interpretability methods to address the “black-box” challenge. The second part focuses on sequential data: time-series models (AR, GARCH, Box–Jenkins), probabilistic sequence models (HMMs, state-space, particle filters), and advanced neural networks such as RNNs, LSTMs, GRUs, CNNs, and autoencoders applied to trading, volatility, and cryptocurrency prediction. The final part covers reinforcement learning, from fundamentals (MDPs, Q-learning, Deep RL) to applications in option pricing, portfolio optimization, and wealth management. Advanced topics include inverse reinforcement learning, imitation learning, and physics-inspired approaches, preparing students to innovate in FinTech and quantitative finance.