This course provides an in-depth exploration of advanced pricing and reserving techniques in Property and Casualty (P&C) insurance, with a strong focus on methodologies. It covers fundamental topics in P&C insurance ratemaking and reserving, such as Bayes credibility, Bulhmann credibility, nonparametric Bayes credibility, deterministic and stochastic Chain Ladder, Bornhuetter-Ferguson, over-dispersed Poisson model, as well as a brief introduction to modern micro level reserving approaches. Through numerous examples, case studies, and applied models, the course emphasizes the practical application of these mathematical concepts in real-world insurance scenarios.